diff --git "a/data/dm_maths/full_data_1/2343_11255.jsonl" "b/data/dm_maths/full_data_1/2343_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2343_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let c = -1431 + 1971. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-50776)\/(-748) + -68).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 1:00 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 7*r - 2. Suppose r = m - 1. Solve -21 = m*g - 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**4 + 17646*l**2 + 4751?\nAnswer: -4*l**3 + 35292*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 + 389\/5. What is the second biggest value in r, 2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5944, 5929, 5906, 5875, 5836?\n\"Answer: -4*o**2 - 3*o + 5951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10220102100 (base 3) in base 2?\nAnswer: 10010110000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 3*v + v)*(-19 - 1 - 7)*(-1 + 3 - 1).\nAnswer: -81*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 1. Put 2, -1, -4, q in ascending order.\nAnswer: -4, q, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y + 196 = 66 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*k + 81696 = 101*k. What is k rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 137 + 155 = 0. Let y = -69 - z. Solve -y*b + 2*b - 4 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 853164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-7) + (-902)\/(-77). Let d be -4 + -2 + 4 + t\/(-1). Let j = 94 + d. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 33*g + g**2 - 1 + g**2 - 21 - 22*g - g**2. Let b = -20 - -7. Let k be d(b). Which is smaller: 1\/8 or k?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 less than or equal to 24237\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 5 - 90*i - 100259*i**2 + 100272*i**2.\nAnswer: 13*i**2 - 90*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18001, -143908, -485651, -1151146, -2248309, -3885056, -6169303, -9208966?\nAnswer: -13111961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/9 - 856*s**2\/3 - 2300672*s\/9.\nAnswer: 2*s*(s - 1892)*(s + 608)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19\/3 - -6. Suppose q - 3 = 3*q + r, 0 = -2*r - 2. What is the nearest to -1 in -5, p, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**3*j**2*z**3 + 5*h**3*j - 405*h*j**2*z**3 - h*j*z**2 + 25*h*z**3 wrt j.\nAnswer: -2*h**3*z**3 - 810*h*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*o + 19 = 2*c, -5 = -c - o. What is the lowest common multiple of ((-6)\/(-15))\/(c\/30) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13112, 105572, 356532, 845240, 1650944?\n\"Answer: 13208*v**3 + 2*v**2 - 2*v - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -302*t + 4283. What is the remainder when 1095 is divided by i(14)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 225 + -135. Let b = 152 - x. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 21210 (base 5) to base 13\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*k**6 - k**5 - 12*k**2 - 4*k.\nAnswer: 960*k**3 - 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -4. What is the remainder when 23 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -3*z - 1. Let f = -5 - -3. Let n be a(f). What is the tens digit of (n\/(-2))\/((-1)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42175?\nAnswer: 5, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 45753559 smaller than 45753560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0999 + -6319.832.\nAnswer: -6319.9319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -308, 1, -5 in increasing order.\nAnswer: -308, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31888\/681 + 36\/227. Let v = 47 + u. Let b = -643\/5 - -129. What is the nearest to b in v, 5, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 9*u**2 - 18*u - 9. Let k(v) = 6*v**3 - v**2 + 2*v + 2. Let q be k(-1). Let h be n(q). Let s = -14 + h. Solve -5*d - 5 - s = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43, -66, -89?\n\"Answer: -23*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3254 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13606 + -13605.39704. Round c to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 2*b + 6. List the prime factors of y(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14358485.\nAnswer: 5, 61, 179, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 10860?\nAnswer: 21720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 - (-6 + 6\/2). Suppose -6*q + q + 28 = 2*r, -l = -4*r + q. Is r - 3 - -28 - -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.5 (c) 0 (d) 2\/11 (e) 65 (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 106998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/55 (b) -5 (c) -13 (d) -0.093\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -190361*f**3 + 430175.\nAnswer: -571083*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**3\/9 + 181*k**2\/3 + 18340*k\/9 + 11500\/3 = 0.\nAnswer: -30, -2, 575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 102606 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 8. Let k be z(4). Let l = -2 - k. Let g(w) = w**l - 2*w**2 - w**2. Let n(d) = -3*d. What is g(n(v))?\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {f: 5, t: 13}?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2582?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 11) in base 12?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*x**2 - 431*x**2 + 214*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1097792369?\nAnswer: 23, 167, 311, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6122 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of v**3\/3 + 7*v. Let s(q) = 8*q**2. Give u(s(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**8\/168 - 4*t**7\/105 + t**6\/10 + 2*t**5\/15 - 5*t**4\/12 + 2014*t**2. Let i(o) = 0. What is o?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5*t + 230, -17*r + 22*r - t - 206 = 0. What is the remainder when 42 is divided by 342\/r - (-1)\/(28\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 20*l**2 + 12*l - 1315. Determine t(-23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 3*n - 1. Let g(v) = -246*v**3 - 8*v**2 - v + 4. Give -g(u) - 4*q(u).\nAnswer: 246*u**3 - 11*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 + 23 + -17 + -5 - 14.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -10*g - g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2 + 93*p - 1712. Let w be h(-62). Calculate the highest common factor of 96 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k**2 + 3559620*k - 323602 = 0 for k.\nAnswer: -161801, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 405198 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 23. Let x = -4 - -7. Suppose -x*p + 225 = g*p. Calculate the greatest common divisor of 15 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1226 - 1235 - (-41 + 5 + (-3 - -1)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*t - 200*t + 6 = -3*g, -4*t = 3*g - 4 + 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36087 and 2092?\nAnswer: 144348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 213 and 915?\nAnswer: 64965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*z**3 + 252*z**3 - 66*z**3 - 66*z**3 - 49*z**3.\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 7*s**2 - 7*s + 4. Let o be f(4). Let v(m) = -8*m - 9. Let y be v(4). Let a = -25 - y. Calculate the greatest common factor of a and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 4 + 4)*(64 - 1 + 52)*(-3 - 1 + 2).\nAnswer: -230*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2022 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23677 is divided by 2959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.0074*-75\nAnswer: 0.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a - 45*a - 30 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3876663 divided by -357\nAnswer: 10859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*l - 5*i - 20, 0 = 5*l + 2*i - 21. What is the least common multiple of 17 and l?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -h, -2 = -5*u - 3*h + 5. Solve 2*l - 2*i + 2 = -3*i, -u*i = 2*l - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 96 - 57. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.72 + -0.28. What is the second smallest value in -2\/15, r, 3\/10?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -476 - -107. Let c = m + 1140. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205771.\nAnswer: 347, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271 + 1 + 1 + 2 + -2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrnrrrvrwnnnnrrnrw. Give prob of picking 1 n and 1 v.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 376 is divided by 2547\/135 + 10 - (-4)\/30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**3 + 0 + 0)*(11*z + 10 - 10).\nAnswer: 44*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -4. Let b = q + -1. Let x = 0.1 + 0. What is the nearest to 0.2 in -0.3, x, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/57446 and 19\/10.\nAnswer: 287230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/6 + 78919*q\/6 - 197285\/3.\nAnswer: -(q - 78914)*(q - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t + 6. Let z(b) = 5*b + 5. What is -4*i(p) + 3*z(p)?\nAnswer: -p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 - 15. Suppose 5*u - m*u - 3 = 0. Suppose -z - 4*w - 6 = 0, -3 - u = 3*z + 5*w. Which is smaller: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70045091, -70045090, -70045089, -70045088?\nAnswer: -70045087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 55\/2*f**2 + 5\/36*f**4 - 35\/9*f**3 + 2 + 61*f. What is h in u(h) = 0?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 + 16*k**2 - 1275*k\/4 - 49419\/2.\nAnswer: (k - 38)*(k + 51)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 2*t**2 - 3*t + 3. Let z be q(3). Let s be (-4)\/6*z + 8. Let j = 10 - s. Solve -2*v = -3*d - j - 3, -3*d - 9 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g - 1. Let s(u) = u**2 - 3*u - 3. Let y be s(4). What is the units digit of h(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.82? (a) -4 (b) 1 (c) -2\/375 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7.77 * 2\nAnswer: -15.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 10:02 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12830970500 rounded to the nearest 1000000?\nAnswer: 12831000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {c: 12, s: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 78702.\nAnswer: 393510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 292 = 304 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180*n**3 - 736*n**3 + 187*n**3 + 172*n**3 + 163*n**3.\nAnswer: -34*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23371?\nAnswer: 23371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 2*p**2 - 2*p. Let w be r(-2). Let c(y) = -w*y - 2 + 2 + y. Let j(f) = -f**2. Calculate c(j(t)).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 24. Let t(p) = 2*p**3 - 3*p**2 + 2. Let x be t(d). Suppose -x*r + 174 = -4*r. List the prime factors of r.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 7) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.8 * -50\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 214972 = -3*r, -9*r + 8*r = -w - 71658. What is r rounded to the nearest 1000?\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 3*y + 53. Suppose 0 = y*p + j - 3, 6*p - p = -2*j + 6. Solve 0 = 2*t - 4*l - 12, -t + 5*t + l + 3 = p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8902*h**3 + 3*h**2 + 1263*h + 2 wrt h.\nAnswer: -53412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/46 and -29\/33328?\nAnswer: 766544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34822 and -0.07.\nAnswer: -2437.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -18. Let l be (-14)\/(-1) - (p + 2). Suppose 0 = 6*a - 5*a - l. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -55, -157, -259, -355, -439?\n\"Answer: d**3 - 6*d**2 - 91*d + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4800245699?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5590787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -12.93. Let o = 0.03 - w. Let z = 1.0527 - 1.3527. Sort -2, z, o, -0.2 in increasing order.\nAnswer: -2, z, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 63, 103, 147, 195, 247?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 53577 and -5?\nAnswer: 53582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a week in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 25. Let c be 4 + d + (-3 - -1). Solve c*b = -5*t + 12, 3*t + 1 = 2*t + 3*b for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d1 - -2d372?\nAnswer: 2d553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/143933 and -57\/16?\nAnswer: 2302928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 + 6*k + 6572. Determine n(84).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 3:33 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (28\/(-8))\/7*10. Let j = 31 + l. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5 - (-126)\/(-240)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*i - 42*i - 5248 = 0. Let s = 702 - i. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2060.4 + -2060. Let l be (-15488)\/117 - 18\/(-81). Let w = l + 132. Which is the third biggest value? (a) p (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 2*h + 1. Let n be w(-3). Let k(o) be the first derivative of -36*o**2 + 33*o - 56535. Let u(i) = -9*i + 4. What is n*k(t) - 33*u(t)?\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**8\/168 - 57*d**7\/35 + 235*d**6\/2 + 11093*d**5\/15 + 7511*d**4\/4 + 2523*d**3 + 114*d**2 - d. Suppose a(k) = 0. Calculate k.\nAnswer: -1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 8:13 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - l**2 + 2*l - 1. Suppose 14*p = 17 - 3. Calculate y(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32167639 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a. Let v(i) = i - 1. Let z(m) = 5*f(m) - 3*v(m). Let c(k) = -12*k - 7. Let j(l) = -6*l - 4. Let h(u) = 5*c(u) - 11*j(u). Calculate -2*h(s) + 7*z(s).\nAnswer: 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p + 27 = 16*p. Calculate the remainder when 42 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1467 divided by 28\nAnswer: 1467\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hq when two letters picked without replacement from hhjqqquqqhh.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -257 divided by 5\nAnswer: -257\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 123.6 not equal to 3491.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76975421.5 - 76974846.500429. Let v = 575 - c. Round v to 5 decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (0 - (29 + -9))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrcn. What is prob of sequence cr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1199 bigger than -1203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 204, 214, 224, 234, 244, 254?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 6*l + l + 24, 5*l - 23 - 29 = 5*b - 7 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 72708.37 grams in kilograms?\nAnswer: 72.70837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i - 20. Let v be u(8). Calculate the highest common divisor of v and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-2)*2*5456\/(-4774)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*w**3 + 29*w**2 - 29*w**2.\nAnswer: -34*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-8)\/3)\/4 + 600\/225. Suppose 2*q - 4 = -5*g, q - 2*q = -4*g - h. Solve 15 - 1 = -5*u - 4*b, q*u + 2*b + 6 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - 4 + 4 + (-1 + 1 - 2)*(3*o + 2*o - 4*o) + o + 2 - 2 - o + 2*o + 0*o + (1 + 0 + 0)*(6*o - 2*o + 2*o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (29678\/33)\/(4\/(-12) + 1).\nAnswer: 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -9. Suppose j + j - y*v - 16 = 0, 0 = 3*j + v - 36. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*h - 32*h = -141*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 240618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2233182, -2233180, -2233178?\n\"Answer: 2*l - 2233184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17865 - 17633. What is the remainder when n is divided by 104?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3629)\/4 + 13\/52 - 2. Let t be c\/(-63) + (0 - 3\/7). What is the highest common divisor of 35 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50405244 to the power of 1\/3, to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2731 = d + 3*z + z, 4*d = -2*z + 10882. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (-1 - -2 - 0). Suppose -w*i = -i + 3*o - 26, 5 = -5*o. Suppose -f - 37 = -3*g, 2*g - 5*f = -0*f + i. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(((sqrt(85) - (-1*sqrt(85) - sqrt(85)))*6 + sqrt(85))\/sqrt(5))**2.\nAnswer: -36820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.7 - 119.7. Let v = -116.9903 - u. What is v rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -2*x. Suppose x - 6 = -2*n. Suppose -n*b + 0*b = -15. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 104374 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*a - a + s, 0 = -2*a + 3*s - 3. Find the second derivative of 0*m**5 - 2*m + 5*m**5 + a*m**5 - 2*m**5 wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14814.95 to the nearest ten.\nAnswer: 14810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 79, 1536, 2993?\n\"Answer: 1457*q - 1378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of 0*y**3 + 0*y**4 + 0*y - 6*y**2 + 0 + 1\/30*y**5. Let w(b) = -17*b. Calculate w(z(x)).\nAnswer: -34*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*f + 11*f - 542 + 14*f + 542.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 853 is divided by 54?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1370 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3807.952372276 minus 0.3?\nAnswer: -3808.252372276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2*sqrt(66) + sqrt(66)) - sqrt(66) - ((sqrt(66) - 1*sqrt(66))*-5 + sqrt(66)))\/(sqrt(48)\/(sqrt(8) - -4*-1*sqrt(8))).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450320626.\nAnswer: 2, 7, 2917, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-47)\/(-6) + (-2)\/(-12). Suppose -3*w + h = p, -5*p - 1 - 7 = 3*w. Let t(r) = -r - 1. Give t(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/125 - 238\/375. What is the nearest to -1 in o, 2, 104?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -412, 1\/2, -6, -5 in decreasing order.\nAnswer: 1\/2, -5, -6, -412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1281*j + 1284*j - 3*w = 9, 0 = 4*w + 16 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**1*(a*a**(2\/5))\/a*a**(-1)*a**(4\/5)\/a assuming a is positive.\nAnswer: a**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*d - d**2 + 97*d - 6*d - 15*d - 6*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -1214*j + 17086. Determine l(14).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.6 + 1.28. Let k = 1.5 + z. Let s = k - 7.18. Which is the smallest value? (a) -0.5 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*((i*(i**(-1)\/i)\/i*i)\/i)\/i*i\/(i**0\/i))\/(i\/i**3)**(5\/7))**14)**20 assuming i is positive.\nAnswer: i**400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*r**3 - 104092 + 41*r**3 + 104092 - 26*r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -40. Suppose -z*h - 25 = h. Let k(t) = 3*t - 4. What is k(h)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + j**2 + j + 1. Let r be q(-1). Let o = r + 3. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -198 + 201. Suppose y*v = -4*v + 371. Is 53 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 161*r**3 - 8*r**2 - 33*r + 40. What is the remainder when 992 is divided by c(1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**5 - 2*h**5 + h**5 + (-3 + 3 - h**2)*(-4*h**3 - 2*h**3 + 7*h**3) - 149 - 19 + 21*h**2 + 20 + 71 + h**5.\nAnswer: -3*h**5 + 21*h**2 - 77","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 7*y + 185. Let m = -150 - y. Calculate the least common multiple of 50 and m.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-3))\/(1\/12). Suppose v*c + 1 = i, -12 = -4*i + i + 3*c. Suppose 5*b - 12 = 13, 0 = -i*p - 2*b + 35. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6c19 - -4?\nAnswer: -6c15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = -10*m + 2*n + 4, 4 = -2*n. Factor 1\/3*h**2 - h**4 + m - 4\/3*h**3 + 2\/3*h.\nAnswer: -h*(h + 1)**2*(3*h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n + 38. What is the remainder when 33 is divided by m(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 4*w - 2*w - 22, 0 = 4*p - 2*w - 26. Suppose -3*k + 25 = -p*k. Suppose 2*i - 12 = 3*m, -4*i - 3*m + 6*m + 12 = 0. Sort k, i, 2.\nAnswer: k, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55.3 - 55.2. Which is the third smallest value? (a) k (b) 13 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7089 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 12\/25, -1\/3, -1, 0.006?\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m - 21*m = -2*s - 22681, 5*s = -5*m - 56710. Let r = s - -124917\/11. Is r less than or equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -20*n + 3. Let q(z) = -7*z + 1. Let b(i) = -17*q(i) + 6*x(i). Let f(t) = 16*t - 14. Give -28*b(p) - 2*f(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-250)\/12))\/(57\/95).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - (-5)\/6)\/(-2*35\/(-126)). Determine t so that -q*t**3 - 6 - 3*t**2 + 21\/2*t = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, w: 3}. Give prob of sequence owww.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25761590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*o**3 + 2 + 228*o**3 - 26*o - 24*o - 27*o + 78*o.\nAnswer: 274*o**3 + o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**5\/3 + 142440*o**4 - 7608717374*o**3 + 91234958348*o**2\/3 + 1118359257152*o + 2054199885120 = 0?\nAnswer: -9, -2, 15, 106828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8736728831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 + (11 - (23 + 37))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.115 * 174.\nAnswer: 20.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6\/17 + 76\/119. What is the nearest to -0.2 in -2\/7, i, -4\/3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2655340 (base 7) in base 13?\nAnswer: -c342a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127188671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 252 and 7010571?\nAnswer: 588887964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4268, 3644, 2598, 1124, -784, -3132, -5926?\n\"Answer: -n**3 - 205*n**2 - 2*n + 4476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*956\/20315\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/40)\/(2\/(-10)). Let g = 57 + i. Calculate the remainder when g is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1138*x - 170. Let g be k(-6). Which is bigger: -6999 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 805290496 to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16013 and 2206687.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 1 = -s - 0, -2*w + 5*s + 8 = 0. Which is smaller: -2\/11 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 27*u + 87. Let d(x) = -x**3 - 19*x**2 - x - 22. Let w be d(-19). Let h be z(w). Put 1, 0, h, -4 in ascending order.\nAnswer: -4, 0, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4536900*q**5 + 1077780*q**4 - 2867936*q**3 + 617168*q**2 + 26240*q + 256 = 0 for q.\nAnswer: -1, -4\/213, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 8*p**2 + 8*p + 1. Let c be o(7). Suppose z + 0*z = c. Let h = z + 71. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 30 + 16002*r**3 - 15994*r**3.\nAnswer: 8*r**3 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**2 + 4*m + 3. Let d be f(-5). Let q = 19 + -19.953. Let k = q - 0.047. Which is the second smallest value? (a) k (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26365172657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, 26, 2, -4 in descending order.\nAnswer: 26, 6, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -459*v. Let a(y) = 19*y**2 + 11*y + 11. Let m(c) = 7*c**2 + 4*c + 4. Let l(h) = -4*a(h) + 11*m(h). Give q(l(t)).\nAnswer: -459*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(48\/(54\/18))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 90236616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {u: 2, v: 1, e: 2, c: 1, b: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 0*p**3 + 0*p**4 + 3\/200*p**6 + 1\/50*p**5 + 0 + 0*p**7 - 1\/560*p**8 + 0*p - 7*p**2. Let t(y) = 0. What is y?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -a + 6*d - 3*d, 3*d = 0. Let u(f) = -77*f - 80*f - f**2 - 1 + 162*f. Let z be u(a). Solve -7*p + 16 = -z*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.3 + -43.972.\nAnswer: -36.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, j: 5, k: 1, y: 1, n: 1, i: 3}. What is prob of sequence my?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 + 140*z - 308. Let a be t(-49). What is the highest common factor of 2660 and a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -8*r + 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 7 = p, 4*s - 7 = -p + 2. Suppose 4*i + 2*x = 18, -3*i = -p*x + 2*x - 9. Suppose i*w - 5*m - 590 = -3*m, 5*m = 15. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*v + 4*v. What is the remainder when 61 is divided by v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixteenths of a day?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 minus 731.7?\nAnswer: -748.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 4:50 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/10)\/(4\/(-100)). Suppose -4 = -4*q - n. Let y(l) = l**3 + 4*l**2 + 4. What is the units digit of y(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16423*x**3 + 4960*x**2 - 3*x wrt x?\nAnswer: 98538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -588618, -1177263, -1765908, -2354553, -2943198?\n\"Answer: -588645*r + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(-1) - (2 + 29)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zczzzzzzazzzz. Give prob of picking 3 z.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (-4 + 0) - -2. Suppose -9*j + i*j + 32 = 0. Solve 2*p = 4*p + j for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -248030179 - -68.\nAnswer: -248030111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 73505019 to the power of 1\/2, to the nearest integer?\nAnswer: 8574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 130 + -135. Which is smaller: a or 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 2)*(-2)\/4. Let a = -994 + 368773\/371. Which is smaller: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352 and 24641628?\nAnswer: 197133024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*i**5 + 971*i**3*s - 2*i*s + 533*i - 7*s wrt i.\nAnswer: 80*i**3 + 5826*i*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(16\/(-6)) - -8. Suppose -5*j + 890 = -z*g, -4 + 720 = -4*g + 3*j. Calculate the remainder when 35 is divided by (-1*g\/21)\/((-4)\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 + -84. Suppose -3*f - 2*z - 3*z = -123, i*f - 86 = -2*z. 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 the remainder when 396 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 15. Suppose -36 = 4*x - 2*a, 3*x + 2*a + 33 + 8 = 0. Let d be j(x). Let i = 13 + -8. Solve 3*c + 5*u - 22 = 0, -c + d*u + i = 26 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*u**2*v**2 - 140*u + 34*v**2 - 2*v wrt u?\nAnswer: -4*u*v**2 - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k - 14 = -9*k. Let l = 16 + k. Suppose 3*d - 8*d = -45. Solve -j + d = l*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 93\/2. Which is the second biggest value? (a) 2\/5 (b) 0.3 (c) -0.3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 + 139 - 85 - 89 - 15*x**2 - 84*x in the form p*x + i*x**2 + n and give i.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 18 = 0, -7*f + 8*f - 27 = 4*u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 4 + 6 - (-4 + (7 - 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, r: 3, t: 6, h: 5}. What is prob of picking 1 r and 2 f?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*i - i = -9, 0 = -o + 5*i - 23. Let f(r) = -r**2 + 4*r - r**2 - r**3 - r**2 + o + 3. Let a be 8\/(-3)*(-15)\/(-10). Calculate f(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 226306729.\nAnswer: -5\/226306729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*s**2 - 5*s**2 - 4*s**2 + 3*s**3 + 0*s**3 to i*s**2 + p + v*s**3 + a*s and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.055 - -0.055. Let a = g + 20.8. What is a rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/1622 (b) -0.2 (c) 3 (d) -2073 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 11 - 27 - 86*d**2 + 13.\nAnswer: -86*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 384 and 8?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3595 and 609.\nAnswer: 2189355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3642821346 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -210121020120 (base 3) in base 11?\nAnswer: -2704a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*l + 3*z, -z = 1 - 2. Let v(w) = 5*w + 1 - l*w + 2. Give v(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/3 (b) 10 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2251807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 213920.6220664.\nAnswer: 213923.6220664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -327 + 461. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1029)\/(-15)*(-15)\/(-3). What is the second derivative of 2*i + 152*i**5 - a*i**3 - 3 + 343*i**3 - 4 wrt i?\nAnswer: 3040*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 21272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-3)\/(-468)*4). Let b(p) = 15*p + 24*p - 2*p**2 - i*p. Let m(x) = -69*x. Determine m(b(a)).\nAnswer: 138*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -1 + 0 + (14 - (5 + 3)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.5 in 2\/13, 2, 3, 1, 262?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 3*n + 86, -2480*y - 5*n = -2483*y + 146 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 235962, 471677, 707416, 943191, 1179014, 1414897, 1650852, 1886891?\nAnswer: 2123026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at most 470364\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**3 + 27*t**2 + 14*t - 2. Determine j(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**3\/3 - d**2\/2 + 17*d - 1. Let r(y) = -y - 13. Let x be r(-13). What is the units digit of f(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*u**3 + 5*u - 9*u**3 - 3*u**5 - 10*u + (u + u - 4*u)*(-u**4 + 2*u - 2*u).\nAnswer: -u**5 - u**3 - 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w - 4. Let b(n) be the third derivative of n**5\/60 - n**3\/6 + 3*n**2. Let z = -74630 + 74634. What is z*b(h) - d(h)?\nAnswer: 4*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 - 89*j + 18. What is the units digit of b(-42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42 + -37 - (-2 + 8)) + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55088?\nAnswer: 2, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 4153204324?\nAnswer: -4153204321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 8:30 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = v, -3*v - 5*l + 0*l - 43 = 0. Let k = v - -9. Let t be (0\/(-1))\/(-3) - -25. Solve 2*g = -k*g - t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 36?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 3 (c) -548\/5 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 50858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 195 - x**2 - 3*x**4 + x**3 - 3*x**3 - x**2 - 204 to b*x + r*x**3 + a + w*x**2 + k*x**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 770 a factor of 533922620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 388051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, o: 2}. What is prob of sequence oww?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*p - 49. Let k be 40\/p - (-4)\/(-18). Let y(z) = 2*z - k*z + z - 2*z. Let t(f) = 2*f. Determine y(t(n)).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38\/53 + -1371\/212. Let q = o + 119\/20. Sort -0.2, 0.5, q in increasing order.\nAnswer: -0.2, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296533 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (-143224)\/(-40) - 10\/(-25) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + -9)\/(-6) + (22 - -1). Suppose 51 = t*d - 7*d. Solve 16\/7 - 36\/7*o**2 - 24\/7*o + 54\/7*o**d = 0.\nAnswer: -2\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 5) + -2 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 13754 (b) -0.2 (c) 11 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 - -132. Suppose 44*a + 2952 = 116*a. Let a*t + 6*t**2 - t**2 - 7*t + o - 4*t = 0. What is t?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3156768 and 263064.\nAnswer: 3156768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 141*l**4\/8 + 2*l**2 - 47. Let q(z) = -z**2. Calculate q(d(s)).\nAnswer: -178929*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 - 15 + 11*f + 23 - 8.\nAnswer: -4*f**2 + 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 4*b**2 - 5*b - 1. Let j be y(5). Let d(r) = -r**2 - 7*r - 1. Let i be d(-3). Calculate the lowest common multiple of 7 and j\/(-3) - i\/(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -1.04852.\nAnswer: 3.14556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*u**3 - 97*u**3 - 240*u**3.\nAnswer: -117*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -43 + 28 + 258 + -1. Suppose -44 = 2*a - 4*a. What is the greatest common divisor of a and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 0, -450, -3\/2, -25 in descending order.\nAnswer: 0, -2\/7, -3\/2, -25, -450","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5394 from -0.0412.\nAnswer: -0.5806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-7) + (-52)\/(-14). Suppose -11 = -2*o - 3. Suppose 0 = o*i - 4*w - 36, i - 3*w - 14 = -3. Solve -4*x - i = -3*j, -3*x - j - h*j = 35 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 1420a6?\nAnswer: 1420ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - -5 - (-4 + 1). Suppose 1 = -k*a - 5*q + 27, -4*q = -4*a - 4. Let g = 42 - a. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*v = -329*v + 72*v + 69*v + 387 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m. Let x(u) = -u - 4 + 4. Suppose -119*l + 124*l = 1540. Let i = -314 + l. Give i*x(r) - c(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3 + 6. Let r(w) = 4*w. Let h be r(1). Suppose 5*q = 4*s + 2, q + 5 = h*s - 1. Solve y*c - q = 5*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -8. Suppose 0 = -c*r - q + 43, -3*r + 4*q + 68 = r. Suppose -8*a + 3*a = -r. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6556684, -13113337, -19669990, -26226643?\n\"Answer: -6556653*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2557062, -5114133, -7671208, -10228287, -12785370?\n\"Answer: -2*s**2 - 2557065*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 - (17 + -15))\/(-2). Sort -15, o, -0.05, 0.2, -0.3 in descending order.\nAnswer: 0.2, -0.05, -0.3, o, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142 and 85120?\nAnswer: 6043520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n - 5. Let b(t) = t + 3. Let z be (26\/6)\/1*(-6)\/(-1). Let g = z + -23. What is g*s(v) + 5*b(v)?\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 124?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(17) + 0 + -3 + 1 + sqrt(17))**2*-2.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 316, 313, 308, 301, 292, 281, 268?\n\"Answer: -q**2 + 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17104216.\nAnswer: 2, 41, 52147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/21)*p*p*(p**3\/p)\/p)\/(p**(-5)\/(p\/((p\/p**(2\/11))\/p*p))) assuming p is positive.\nAnswer: p**(1879\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p. Let y(d) = 2*d + 2*d - 3*d. Let k(r) = r**2 + 3. Let x be k(0). What is x*b(h) + 4*y(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*-3*3\/6. Let l(w) = -w + 1. Let v be l(r). Suppose 0*n + 4*q = 2*n - 174, -v*n = -2*q - 354. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vovaoa. Give prob of sequence aoav.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429115 - 41263 = 9699*w - 68001 for w.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*r + 2*l + 15 = -23*r, -16*r + 11*l = -80 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5+131597\nAnswer: 131602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of -5*x**4 + 296*x**3\/3 - 330*x**2 - 144*x - 1067. Suppose u(l) = 0. What is l?\nAnswer: -1\/5, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7 and -233\/40 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + 1 + -1 + (1 + sqrt(539) - sqrt(539))**2 + sqrt(11) + sqrt(33)\/(sqrt(12)\/sqrt(4)))*-4.\nAnswer: -20*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -180*r + 181*r + 1767618, -l + 2*r + 883815 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -537 - -539. Let v(o) be the second derivative of 0 - p*o + 0*o**4 + 0*o**3 + 2*o**2 - 1\/5*o**5. Differentiate v(l) with respect to l.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.9 + 9. Let r(t) = 4*t**2 - 3*t + 2. Let g be r(1). Let p be (-4 - -17) + -1 + g. What is the smallest value in p, 4\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39036686 + 20214.622\nAnswer: -39016471.378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 6*l**2 + 9*l + 7. Let s be y(7). Suppose 0 = -4*w, 3*o - 9 = 3*w + s. Let x = 15 + 4. What is the remainder when x is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -571*y**2 + 5*y - 36. Let s(k) = 573*k**2 - 6*k + 44. Give 6*g(l) + 5*s(l).\nAnswer: -561*l**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/18 and -1*(-17634)\/(-6156) + (-14)\/(-133).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2218 - 2238.48. Round w to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 85.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 + (3 - 2) + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 18*n**3 + n**2 - 3*n - 3. Let s(c) = -54*c**3 - 3*c**2 + 8*c + 8. What is -8*r(t) - 3*s(t)?\nAnswer: 18*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 1968 = -24*u. Put u, 5, 4, 0 in descending order.\nAnswer: u, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.13, 570, -0.1?\nAnswer: 570","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 7) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*f**4*q**3 + 4414*f**3*i - f**3*q**3 + f**2*i + 8*f + 166*i*q**3 - 45 wrt f?\nAnswer: 240*f*q**3 + 26484*i - 6*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/61 >= -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55871, 108944, 162017, 215090?\nAnswer: 268163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xeyxysxuxuuuycuxeysy. Give prob of picking 3 x.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7886 times -13.1\nAnswer: 103306.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of d**5\/60 - d**2 - 1. Let t(g) be the second derivative of w(g). Let v(a) = 5*a**2. Calculate t(v(l)).\nAnswer: 25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -44*n**2 - 4665*n - 107. Determine m(-106).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-24)*-28 + 12. What is the smallest value in 2, -2\/299, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 142 = -4*j - 46, 0 = 2*j - 2*g - 30. Solve j + 1 = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 6)*(1 - 2 + 3)*(-f**4 + f**4 - 2*f**4) + 2*f**4 + 3*f**4 - 7*f**4.\nAnswer: 30*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1053 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.55272ml to litres.\nAnswer: 0.09655272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**5\/60 - v**4\/8 - 7*v**3\/6 - 1347*v**2. Determine z(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1856 and 845176.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*h. Suppose y = -5*z + 11, h*y = -5*z - 4*y + 14. Suppose 0 = -6*j + z*j + 508. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*v - 33*v - 104 + 104.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -32371, -32316, -32261, -32206, -32151?\n\"Answer: 55*c - 32426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-4) - (-34)\/(-72). Let b(w) = w**3 + 25*w**2 - 395*w - 10. Let q be b(11). Let y = 14 + -29\/2. Sort q, g, 1\/4, y in decreasing order.\nAnswer: q, 1\/4, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -5 (b) -0.2 (c) 2\/3 (d) -2\/5 (e) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*l**3\/3 + 342*l**2 + 2106*l + 3402.\nAnswer: 2*(l + 9)**2*(25*l + 63)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*5912\nAnswer: -1182.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*v**4 - 92*v**4 - 15*v + 45*v**2 + 2*v**3 + 42*v**4 - 30*v + 3*v**3.\nAnswer: -5*v*(v - 3)*(v - 1)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - -110?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 89, 87, 85, 83, 81, 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of 11*z**2 + 2\/945*z**7 + 0*z**3 + 1\/3024*z**8 + 0*z + 1\/216*z**4 + 0 + 1\/135*z**5 + 1\/180*z**6. Determine r so that k(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Suppose -24*b - 318 = -342. What is the greatest common divisor of b and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 690 + -37999?\nAnswer: -37309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 179, -461, -1103, -1747?\n\"Answer: -x**2 - 637*x + 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*p - 72. Let o(v) = 5*v - 7. Let c(t) = 20*t - 28. Let j(g) = p*o(g) + 2*c(g). Differentiate j(x) wrt x.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -129, -194?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/28595 and 59\/190.\nAnswer: 57190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -c - 4*r, 0 = 3*c + 3*r - 13 + 4. Calculate the remainder when 8 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 2091 - 1254 - 1125 = 0. Calculate the greatest common factor of 562 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 3 + 2)*(-2*u + 3*u + 0*u) + u - 2*u + 2*u + 3*u + 0*u - u + 0*u - 2*u - 2*u)*(4 - 132 + 54) to b + t*u and give t.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzomzoomommom. What is prob of picking 1 z and 3 m?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 82 - 3 = -4*k, -1 = u. Let t = k - -20. Differentiate -4*z**2 - z**2 + 2 + 3*z**2 + t*z**2 wrt z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*y - 3*y. Suppose 2*i = 6*i - 60. What is the remainder when i is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhnh. Give prob of sequence nnh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.21 times 131\nAnswer: -27.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267674032?\nAnswer: 2, 59, 283553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267836 is divided by 360.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 3. Let c = 15 - 15. Let t be k(c). Suppose -a - a + 8 = -n, 5*n + 4*a = 30. Solve m - 25 = -5*w, 3*m + n*w + t*w = 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 12 = a - 9, -a - 17 = 9*k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -589 divided by -340?\nAnswer: 589\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*l = 103 + 209 + 24 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-146) - (-52 - (-719369)\/14308).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39897845*o - 39897845*o + 200*o**2.\nAnswer: 200*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/2514751 or -1?\nAnswer: -2\/2514751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204930 and 31050.\nAnswer: 1024650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1))\/n**(-23) assuming n is positive.\nAnswer: n**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 904861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6\/r*(r\/(r\/(r**0\/r)))\/r)**(-1\/5))**22 assuming r is positive.\nAnswer: r**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*y - 11 + 3 = 0, 3*c = -4*y + 12. Is (-5520)\/(-5) - (-28)\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 0*r - 576 = 0. Let t be (1 - -3)\/(-1*1\/16). Let q = r - t. Calculate the remainder when q is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -459809*n**2 + 1519617*n + 2?\nAnswer: -919618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 + 1)*(-4)\/(-14). Suppose -v*s = -5*s + 9. Solve -n = 2*n - s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14785978217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.462132 litres?\nAnswer: 4462.132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 0.02, 656 in descending order.\nAnswer: 656, 0.02, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -5*k + 18, 3*k - 8*k - 2*v + 24 = 0. Let c = 11 - k. Suppose c*r - 5 = 0, 0 = -2*x + 5*x - 2*r - 46. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*u = 2460, -4*u - 2458 = -0*t - 5*t. What is the highest common divisor of t and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2074 and 10682137.\nAnswer: 1037","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -671950599*w**3 + 102568*w**2 - 985 wrt w?\nAnswer: -4031703594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*j - 487 - 3338 = 0 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2331091.17us in days?\nAnswer: 0.000026980221875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -5 (b) 1 (c) 4 (d) -1970\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1670497\/79 + 21145. What is the common denominator of (-53)\/6 - (-26 - -23) and f?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 260076525849 and -0.01?\nAnswer: 260076525849.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, z: 6}. Give prob of picking 4 z.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/11046618 and 38\/189.\nAnswer: 77326326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**3 + 734*r**2 - 59228*r + 115536 = 0.\nAnswer: 2, 116, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 5 + (-4 + 9 - 3)*(2 - 3 + 2))*(-28*c + 17*c + 35*c).\nAnswer: 120*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*5*(sqrt(637)*-1*-6 + 5*(-1 + sqrt(637)) - (1 + sqrt(637)*2)*-2))**2.\nAnswer: -141750*sqrt(13) + 32250150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -118 - -122. What is the second smallest value in 2\/3, y, 0.095?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 27. Let s(d) = u*d**3 - 14*d**3 + 4*d**2 - 4*d + 2*d - 1. What are the prime factors of s(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 17*a**2 - 20*a - 27. Let x be q(-18). Solve x*j + 14 = 50 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4*1 + (-15)\/5 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(28\/210)\/((-4)\/(-110))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 831 and 15.\nAnswer: 4155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24191917.\nAnswer: 181, 133657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-i - 1 + 1)*(-i + i + i) + i - i - 2*i**2 - 3*i**2 + 2*i**2 + 0*i**2 + i**2 - i**2 + i**2)*(2*i**2 - 2*i + 2*i).\nAnswer: -6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 24. Let q(z) = z**t - 4*z + 0*z + 2 + 7*z**2 - 9. What is the units digit of q(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8473 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65.82 + -96.\nAnswer: -30.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 223*u + 221*u + 13 = 0, -v = 3*u + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 1 - 1 - 1 + 6*c + 6. Let h be z(5). Suppose -h*r + 6 = -7*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 43 + (-7)\/(35\/(-25)). Let y(j) = -o + 47 + 8*j + 70*j**2 - 8*j. Let z(v) = -v. Give z(y(s)).\nAnswer: -70*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -3c?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, 3, 1\/4, 3\/4, 10, 233?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4c2 (base 16) to base 9\nAnswer: -1603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g = 357 - 2631. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000332101 to 6 dps.\nAnswer: -0.000332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, -14, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129631995 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-28)*(u\/(u*u**(-4\/17)))\/u)\/(u*u**(10\/3)*u*u*u*u*u**(-7\/3)*u*u) assuming u is positive.\nAnswer: u**(344\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -6) + -1*4. Suppose m = 2*i + 5*v + 21, 2*v + 4 = -6. Suppose -i*h = -8 - 0. Solve 5*d - 4 = -h*a + 1, -5*a - d + 22 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 7*i = -90. Calculate the least common multiple of i and 0 + 4 + (-1 - -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (75 + 1)\/((-606)\/139380). Round j to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 10 = 2*r, -4*x + r = -5. Suppose 0*i - 13 = -i + 4*d, 4*d - 8 = 0. Solve -4*u + 5*u - 4*y - i = x, 4*u - y - 9 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.01 and -1264.24.\nAnswer: -1264.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*p**4 - 51*p**3 - 617?\nAnswer: 72*p**3 - 153*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 408 and 14127?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*a + m, m + 3*m + 5 = -5*a. Let f(s) = 5*s + 8. Let t be f(a). Let u = 73 - t. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -877 + 9641\/11. Which is the closest to -0.2? (a) 2 (b) u (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2 - 1875184*n - 439539379232 = 0. What is n?\nAnswer: -468796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -673706?\nAnswer: -673705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -57.3 - -64. Let p = -7 + z. Sort p, -2\/5, -1\/2.\nAnswer: -1\/2, -2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*a - 53*a - 21*a**2.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 2*g - 4*g - 1923 - 838 as a*g + z and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2209896\/30)\/9 + 3 + 7\/35 is divided by 195.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(3))**2 - (1 + sqrt(75)).\nAnswer: -5*sqrt(3) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 6*c + 2. Let j be f(-5). Suppose w - j = 2*z, -w + z + 10 = -7. Is 9014\/w - (-1)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j*n - 459*j - 3*n**4 + n**3 wrt n?\nAnswer: j - 12*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, n: 6, w: 4}. What is prob of picking 3 f?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 582 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/11*(83 + -84)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1985835\/236 or -8414?\nAnswer: -8414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -5, -3 in descending order.\nAnswer: 24, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -6*g + 36. Suppose 0 = -4*p - 5*c - 2, -g*p + 9 + 5 = -4*c. Let z(h) = -h**3 - 4*h**2 + 2*h + 2. Determine z(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8166 is divided by 8137?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 14*o + 138. Let c be b(-9). Solve 0*u = -6*u + c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 i when three letters picked without replacement from xixfoxxoxxfoixi.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 59629874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1823*r + 4453*r - 955*r.\nAnswer: 5321*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.337660642 from -10.\nAnswer: -7.662339358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54.3 - 59.43. Let h = -0.87 + 1. Let a = p + h. Sort -4, a, -1\/3 in decreasing order.\nAnswer: -1\/3, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46223 - -4?\nAnswer: -46217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 785 + 28 = 0. Let p = x - 293. Suppose 7*y = 3*y - 2*t + p, 3*y - 335 = 5*t. What are the prime factors of y?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*f + 38*f - 639 + 570 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21259521 and 19251.\nAnswer: 63778563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -978 (base 12) to base 4.\nAnswer: -111230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.5, 0.3, -5, 53?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*q + y, q = -2*q - 5*y - 13. Let d be ((-6)\/9)\/(2\/q - -1). What is the third biggest value in -1.2, -0.5, d?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5)*(23 + 0 + -29).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32046, 64110, 96174, 128238, 160302?\n\"Answer: 32064*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5941 - 5949. Which is the smallest value? (a) 0 (b) -1\/15 (c) -2 (d) 3\/4 (e) t\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.5 + 2. What is the nearest to 2\/5 in z, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -19.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3. Let l(c) = 924*c + 4158. Calculate -2*l(d) + 2772*y(d).\nAnswer: -1848*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1610 by -322.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 473 - 331. Calculate the remainder when h is divided by ((-14)\/4)\/7 - (-97)\/2.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -42, -2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950763.\nAnswer: 3, 11, 47, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**4 + g**3 - 1 + 0*g**2 - g + 6 + 2*g**2 as w*g**4 + r + b*g + u*g**2 + x*g**3 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -325, -718, -1257, -1936?\nAnswer: -2749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1256491 (base 11) to base 10\nAnswer: -2175438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/2*(13109\/(-3) - 21)?\nAnswer: 2, 37, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -190.964 + -0.036. Let v = z + 190.7. Which is the fourth biggest value? (a) -16 (b) 1\/3 (c) v (d) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-20))\/(6\/(-48))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1)**(-2\/19))**(-32)*((k\/k**(-2\/7))**(22\/5))**(-2\/11) assuming k is positive.\nAnswer: k**(1556\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 6:39 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -505.9 + -0.30734.\nAnswer: -506.20734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7)*(-9 - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 7:32 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1172, 9224, 31012, 73382, 143180?\n\"Answer: 1141*o**3 + 22*o**2 - o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3023430 (base 5) in base 12?\nAnswer: -24173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 603155 and 52535.\nAnswer: 47649245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 503 + -507. Let z(m) be the second derivative of -m**5\/5 - m**4\/3 - m**3\/3 + m**2\/2 + 3*m. Is z(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 2*t**3 - 2*t**3 + 9*t**3 to the form q*t**2 + a*t + b*t**3 + p and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k + 30. Calculate the remainder when 57 is divided by 12\/k*225\/6.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 2*r - 1. Let l(y) = -y**2 + 5*y. Let w be l(3). Let i = 0 + w. Suppose 7*z = 4*z - i. What is k(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 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: Two letters picked without replacement from kdmbbmddk. What is prob of picking 1 m and 1 k?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 56*j**2 + 16*j - 6. Let m(p) = 62*p**2 + 16*p - 5. Determine -9*a(r) + 8*m(r).\nAnswer: -8*r**2 - 16*r + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iuiu when four letters picked without replacement from cccuucicuiccu?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -100, -83, -64, -43?\n\"Answer: b**2 + 14*b - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 + 13*i**2 + 26*i - 37. Give r(10).\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 242?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-48 + 15 + 5 - -8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h + 2. Let q be v(-3). Let i be (1\/3)\/((-3)\/(-45)). Suppose -i*r + 2*r = q*o - 34, 5*o = r + 22. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 13. Suppose 2*s - 2*l = 3*s - 19, -4*s + 56 = 3*l. Let r = s - o. Solve 5*y - r*g - 12 = 12, -3*y = -5*g - 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 50*g**2 - 56*g - 133. Let m be d(-49). Suppose -m = -17*o + 198. Let h = -11 + 18. What is the remainder when o is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w + 2*w**3 - w**4 - w**2 + 0*w**2 + 2*w**3 - 5*w**3 in the form a*w**3 + j*w**4 + d + v*w**2 + z*w and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from zzyxv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -312 not equal to -318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 906 - 491. Let u = -40 + k. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-62 - -64 - (1 - -6))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-7)\/g*g)\/g**(-2\/3)*g*(g**(1\/3)*g)\/g*g**5 assuming g is positive.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019517 to 6 decimal places.\nAnswer: -0.000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1036489.5 seconds to minutes.\nAnswer: 17274.825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991593 is divided by 121.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5443.3 + -4920. What is n rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) + sqrt(209) + (sqrt(209) - 2*sqrt(209)*2) - sqrt(209) - (sqrt(209) - 2*sqrt(209)*6 - sqrt(209)))\/(((sqrt(385)*1)\/sqrt(7))\/sqrt(180)))**2.\nAnswer: 68400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5521 + 2770 + 2751 - 5673*n as x*n + h and give x.\nAnswer: -5673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - m**2 + m**2)*(-4*m + 0*m + m) - 3*m**2 - 2*m**3 + 3*m**2.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -42 - (-52 - -47) - -74\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = x - 0*x - 23, 0 = 5*x - 3*n - 102. Solve 2*r = z + 7 + 2, -z + 5*r = x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 2912*z**3\/3 + 2995*z - 4081. What is the first derivative of i(f) wrt f?\nAnswer: 5824*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2542*d - 3 - 1223*d + 995*d**5 + 4 - 1221*d + 378*d**5 wrt d.\nAnswer: 27460*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-195)\/(-416))\/(9\/18))\/((-6)\/8).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 18000, 35875, 53750, 71625, 89500?\n\"Answer: 17875*j + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12086 is divided by 2145.\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 16 = 4*j, -54 + 48 = -3*l - 3*j. Suppose -x + 24 = 4*x + 4*b, -4*x = 4*b - 20. Solve -6*s = x + l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22\/5 (b) 3\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3023.283269 + -9.26.\nAnswer: 3014.023269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -57 and 15.2.\nAnswer: -41.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 0 + (-38)\/(-1). Suppose 0 = 4*b + 2*m - 246, 4*b + m - 207 - s = 0. Is 21 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 6*p**2 + p - 5. Let j be o(6). Let f(i) = i**2 + i. Let k(g) = g**3 - 6*g**2 - 7*g. Give j*k(q) + 6*f(q).\nAnswer: q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-2 - (4 - -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 3:46 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -25348.\nAnswer: -25348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -2*r + 54. Suppose 13*x - 20 = r*x. Suppose x*w - 914 = -199. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (309 - 309 - 121*x)*(-3*x - 2*x + 3*x) - 3*x**2 + x**2 - 11*x + 3*x**2.\nAnswer: 243*x**2 - 11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((36\/30)\/(-1))\/(-3)*(-50)\/880\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017596408 to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -7 - -20 - ((12 - 3) + -11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -33, -27, 9.099, 5 in decreasing order.\nAnswer: 9.099, 5, 4, -27, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4895307 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 427, 962, 1713, 2680?\nAnswer: 3863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 26*k - 2*k**2 - 1 - 1 + 5 in the form d*k + r + l*k**2 and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 0, 0.5, -1, 4, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (11554\/(-327))\/((-176)\/2) and -145\/96?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 185.61 - 173.91. What is z rounded to 1 decimal place?\nAnswer: 11.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -9*p - 147, -14562*p + 4*k + 206 = -14564*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 - 10*s**2 + 2*s**2 + (-s - 2*s + s)*(-s + 0*s + 3*s) - 228*s**2 + 112*s**2 + 105*s**2 as n*s + y + l*s**2 and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 0*f + 2\/5*f**2 = 0. What is f?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -3*q + 13 - 0, 0 = -2*b + 3*q - 17. Let k(m) = -968*m**3 + 2*m + 1. Is k(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24624597, 24624595, 24624593, 24624591, 24624589, 24624587?\nAnswer: 24624585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 12*t + 2. Let r be y(13). Suppose -r*a = -905 - 1795. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -97*z - 27. Let b(h) = -1210*h - 325. Let o(j) = -2*b(j) + 25*v(j). Determine o(6).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14791177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/359 in 4, -1\/3, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22cb4c + -8?\nAnswer: 22cb44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7916055 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = w, -9*w - 19 = -3*r - 11*w. Suppose 0 = r*m + 214 - 199. Let b = -7.7 - -8. What is the biggest value in m, -2\/15, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12302895?\nAnswer: 3, 5, 11, 173, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 25 + 13 + 6*i**2 in the form y + b*i**2 + c*i and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191 = 4*l - d, 4*l + 2*d = 2*l + 88. Suppose 17 = -5*b + l. Let q = b + -3. Let g(n) = n**2 - 2*n - 2. Determine g(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 164669500 to the nearest 1000000.\nAnswer: 165000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1570244 to the nearest 100.\nAnswer: -1570200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 - 131*w + 7*w**2 + 18*w**2 + 131*w.\nAnswer: 31*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122206 divided by -61103.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4\/5)\/y**(1\/5) assuming y is positive.\nAnswer: 1\/y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5}. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**4\/24 - 2*u**3\/3 + u**2. Let h be s(6). Let k = -0.1 - 0.4. What is the closest to h in k, -1, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7222*m + 684 = 7146*m for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 141 + -139. Suppose 3*d + 4*v = 136, 2*d - q*v = -27 + 141. What is the greatest common divisor of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q. Let r be p(2). Suppose -2*v + 1 = -3, t - r*v + 3 = 0. Solve -4*c - 2*j - 22 = 0, 0*j = -j - t for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -2, 2, -0.54?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/8? (a) -5 (b) 2\/5 (c) 43 (d) -79\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z + 2. Let m be k(4). Let t(u) = -17*u**2 - 1. Let d be t(1). Let q = -13 - d. Solve 0 = m*w - 2*w + 20, -21 = 4*i + q*w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -191*z + 81. Let h(w) = -w**3 - 8*w**2 - 7*w + 27. Let u be h(-6). What is the hundreds digit of d(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.94481 meters to nanometers.\nAnswer: 40944810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8189 (b) -2\/19 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680135 is divided by 9854.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5137692 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from ejttthlteeteltgjeett?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2453 + -2453. Solve g + 8 = -2*y - p, -8 = 2*y - 5*g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from xtptc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 899*c + 5*h + 583 = 930*c, -7*h = 3*c - 19 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -314 (base 7) in base 14?\nAnswer: -b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 - -24. Suppose 3*g - 3*h - 15 = -h, -4*g - 5*h = -d. Suppose -25*u - 80 = -9*u. Put 2, u, g in decreasing order.\nAnswer: g, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 11*d. Let b(l) = 5*l. Suppose 4 = -2*n - 22. Let f(o) = n*b(o) + 6*m(o). Let y = -8 - -11. Determine f(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 84827260 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5856.2 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + (0 - -2 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 26. Suppose -2*k = 3*i - 43, -39 = -v*k + 2*i - i. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16943, -33871, -50791, -67703, -84607?\nAnswer: -101503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -27, -31, -35, -39?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + k - 6 + 0 = 0, 3*k = 3*f - 6. What is the nearest to 1 in -3, f, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-20)*1*((-27120)\/(-180))\/113?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/((-20)\/(-11)))\/(5\/10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 10:18 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -31\/5, -0.32, 2, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -785.09 + 1510.\nAnswer: 724.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 4*k - 363. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5 + 7 + (-1768)\/280.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6e3 - -5?\nAnswer: 6e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4*7\/(42\/(-4))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -471*t + 32020. Calculate h(68).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 123016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -15*f**4 + 7037*f**3 - 822267*f**2 - 716985*f - 110450 = 0.\nAnswer: -2\/3, -1\/5, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-21)*o)\/o)**(2\/43) assuming o is positive.\nAnswer: o**(-42\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -52936 + 5?\nAnswer: -52931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1267*r - 603100 = 330*r - 1605*r - 3489*r for r.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 7:32 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306 and 14841.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -157.\nAnswer: 5\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24711626 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-7) + 1*(-2)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 8*i**2 - 17*i - 39. What is s(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 471504 and 528?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-35)\/10 - 10\/6*-3. What is the fourth biggest value in 0.2, 0.5, i, 0.8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 2*w**3\/3 + w**2 + 15. Solve g(i) = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91775 is divided by 48.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((16 - (41 - 22)) + 25)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -8*v**3\/15 - 4198*v**2\/15 + 196210*v\/3 - 49000\/3 = 0.\nAnswer: -700, 1\/4, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/((-5)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*w = 26, 5*c + 2*w = -w + 91. Suppose -4*o - 5*f + 23 = -3*o, 0 = -5*f + c. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 9*h**2 - h + 3. Suppose 8 = 2*u - 2*k, 0 = u + u + 5*k - 43. Let f be a(u). Suppose 0 = -7*x + 21*x + 56. Which is smaller: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -4*j - 4, 573*f = 575*f - 6*j + 2*j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*n - 15*n**3 + 51*n + 48*n.\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a centimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/5)\/(36\/(-20) - -2). Suppose 0*j + 2*j = -6. Put 1, z, j in decreasing order.\nAnswer: 1, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62 - -82) + -14 + 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*o + 28*o = -18922. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3443 or 3442?\nAnswer: 3443","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 0*l + 0*l**2 + 12\/7*l**7 + 0*l**6 + 0*l**4 + 0*l**5 + 7 - 5\/3*l**3. Find the third derivative of h(y) wrt y.\nAnswer: 1440*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -55)*29\/(319\/4895880). What is y rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**3 + 911*r**2 - 20*r + 9. Let p(q) = -12*q**3 + 2733*q**2 - 55*q + 25. Give 11*j(w) - 4*p(w).\nAnswer: 4*w**3 - 911*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102, -71, -10, 87, 226, 413, 654?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 2:03 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/11354 and -53\/522284.\nAnswer: 522284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5761506ns to minutes.\nAnswer: 0.00000000000960251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-17*(-12)\/14)*(-1)\/14*-4\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*i - 134 - 66 = -71*i. Put 0, -1, -3, i, -10 in ascending order.\nAnswer: -10, -3, -1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 290002 - (-6 + -4)\/(-5). What is u rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -408900 rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in five quarters of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -347820, -695642, -1043468, -1391298, -1739132, -2086970?\n\"Answer: -2*g**2 - 347816*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 5, 4, -17, 15 in increasing order.\nAnswer: -17, -15, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000052392443 to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/2 + 18*m**2 - 210*m + 784.\nAnswer: -(m - 14)**2*(m - 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -9) + -105 + 96. Let z(s) be the third derivative of 3\/8*s**4 - 2\/3*s**3 + 7*s**2 + v + 0*s. Differentiate z(t) wrt t.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0, 27\/854, -1\/3 in descending order.\nAnswer: 27\/854, 0, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (10 - 4) + -7 + 20\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 16. Let g be 34\/4 - 4\/u. Suppose g = 4*d - 8. What is the remainder when d is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 91 + 11. List the prime factors of f.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mnmn when four letters picked without replacement from {m: 2, n: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 561 and 262317.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 0 - 12\/7*x + 6\/7*x**3 + 6\/7*x**2 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = 13*r - 1149. Let d = 801 + r. Calculate the highest common divisor of 38 and d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 20 = -3*k, m + 6*k - 3*k = -4. List the prime factors of (-3 + 0)\/(m\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 18. Solve 0*l = l + d, a = 5*l - 2*d + 35 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 267535 and -0.4.\nAnswer: -107014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**3\/7 - 87620*y**2\/7 + 1402312*y\/7 - 5259120\/7 = 0.\nAnswer: -43826, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 111010111101011010011 (base 2) in base 6?\nAnswer: 105224215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/11*3\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of -o**8\/1680 - o**7\/75 + 4*o**6\/75 - o**5\/150 - 31*o**4\/120 + 8*o**3\/15 - 1370*o**2. Determine b, given that j(b) = 0.\nAnswer: -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -128*p**5 - 2*p**4 - 318*p**3 - p**2 + 44920*p?\nAnswer: -7680*p**2 - 48*p - 1908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 150356473*s**3 - 546081706*s wrt s.\nAnswer: 902138838*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w. Let x(k) = -119*k**2 - 401*k**2 + 155 - 155 + 117*k**2. Determine x(d(j)).\nAnswer: -403*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76367, 152745, 229141, 305567, 382035, 458557, 535145, 611811?\nAnswer: 688567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 13*r - 38. Let q be j(8). Let y be (4*-2)\/(q + 16\/(-4)). Suppose 4*x = -y*x + 160. Calculate the remainder when 93 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-35)*12\/8*20\/18\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - t + 2*t)*(-876 + 319*t + 876).\nAnswer: -319*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 184.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-3 - 0)*(-40)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from {a: 1, r: 2, e: 2, m: 1, i: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13 + 11*m + 3*m - 16*m)*(m**2 - m**2 - 3*m**2)*(0*m + 8*m - 3*m) to s*m**4 + d + f*m**2 + c*m**3 + k*m and give s.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -1\/14 (c) 1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, i: 1, b: 5}. Give prob of sequence bbp.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, x: 7, w: 4}. What is prob of sequence vvw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 11:17 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 16 = 0, -5*d - 3*i + 2054 = -2*i. Which is smaller: -0.1 or d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -22*k - 2493. Let j(m) = -14*m - 1662. Calculate -8*j(g) + 5*v(g).\nAnswer: 2*g + 831","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/82 and 87\/1957406.\nAnswer: 80253646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -18*(-6)\/(7\/2 - -1). Suppose 26*i - 28 = n*i. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnpfnpnnnfpppnnpnpn. Give prob of picking 1 f and 1 p.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 8336*u**2 - 49977*u + 14. Give l(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 57, 252, 581, 1044, 1641, 2372?\n\"Answer: 67*g**2 - 6*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 136992 divided by 4281?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7 - 2\/1) + 2. Let m(i) = i**2 - 6*i - 3. Let a be m(c). Solve -4*f - a = 12 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 5*h**2 + 5*h + 3. Let y be p(6). Let z(r) = -2*r + 2. Let t be z(4). Is y\/t*(55 + 1) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 629 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -167 + 40. Calculate the remainder when s is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6)*f**(-2)\/f*(f**2*f)**44 assuming f is positive.\nAnswer: f**123","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + v**2 + 136*v**4 - 8*v**3 - 282*v**4 + 145*v**4 to the form n*v**4 + i + q*v**2 + w*v**3 + y*v and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-83)\/(9877\/(-306))*(-1)\/(-9)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -4 (c) -0.9 (d) 0.042\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107.63128 - -107.4. Let i = -1.06602 + x. Let o = 1.3 + i. Round o to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-5))\/(y*y\/(y**(1\/4)*y*y*y)))**(3\/20) assuming y is positive.\nAnswer: y**(-33\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -145.\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78 + -232\/3. Let g(r) be the first derivative of x*r**3 + 0*r - 2 + 0*r**4 + 0*r**2 - 1\/3*r**6 + 0*r**5. Find the third derivative of g(u) wrt u.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (20\/(-70))\/((-2)\/(-14)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66790901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d*x**2 + 3*d*x - 88*d + 716*x**2 - 1 wrt x?\nAnswer: -2*d + 1432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14, 15, -6, -67, -186?\n\"Answer: -3*n**3 + 7*n**2 + n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from yxqqx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-22)\/(-33)*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-114)\/(-21) + (-3)\/7. Suppose 0 = -g*u - u + 30. Calculate the highest common factor of 40 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2158 - 6993 = 468*y + 4889 for y.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-8) - (-665)\/(-20). Let n be (2 - 4)*s\/4. Find the second derivative of -3*h**2 - n*h + 17*h - 6*h - 3*h**2 wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21\/83 + 4811\/996. Find the common denominator of h and 67\/180.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112032 (base 4) to base 14.\nAnswer: -738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31718\/5 or 6345?\nAnswer: 6345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 113123313000 (base 4) to base 14\nAnswer: b5cc00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -98 - -98. Suppose -2*x + k = x - 10, -x + 4*k + 7 = b. Suppose -y = 3*f - 59, -3*f - 100 = y - x*y. Is 10 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 + 22. Let p be (-1)\/d - (-2)\/5. Let j be (2 - 1)*(-2 - -3). Which is the nearest to 0.1? (a) j (b) p (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 47141.79856.\nAnswer: -47142.29856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. Solve -a - r*c - 2*c = -5, -a - 3*c + 3 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4013597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5326.488 rounded to the nearest 100?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4\/5)\/(y*y\/(y*y**(2\/7)*y))*(y\/y**(-2\/5)*y*y)**(3\/23) assuming y is positive.\nAnswer: y**(-57\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1\/9 (b) -1\/28 (c) -0.4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 14*z - 225. What is the remainder when z is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 - 10*v**2 - 3*v - 1. Let g be b(-7). Suppose -5*q + 146 = 2*f, -3 - g = -3*f + 3*q. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2. Let j(i) = -350 - 11*i**2 + 350. Determine d(j(k)).\nAnswer: 363*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5666452988 plus -0.3?\nAnswer: 5666452987.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (-8300)\/(-350) - -28. Factor -32\/7*w - 11\/7 + 1\/7*w**4 - 8\/7*w**3 - x*w**2.\nAnswer: (w - 11)*(w + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - -10)*4\/(-2). Let j = -20 - a. Calculate the least common multiple of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 1. Let f be -8 + (2 + -1 - -1). Let n(z) be the first derivative of z**2\/2 - 3*z + 2. What is f*y(c) - 2*n(c)?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b*k**2 + 20483284*b - 3*k**2 + 321983*k wrt k?\nAnswer: -6*b*k - 6*k + 321983","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.09 (b) 0.4 (c) -3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 11708.\nAnswer: -1\/2927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + p - 19, 100*p = 103*p + 15. Let g(s) = 5*s + 8. Let v(x) = 6*x + 9. Let c(h) = -5*g(h) + 4*v(h). What is c(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15129017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x. Let q(k) = -2*k + 3. Suppose -z + 0*z + 2 = 0. Let c be q(z). Let b be d(c). Let l(r) = -r - 2. Calculate l(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)\/(u*u*u\/(u*(u\/(((u\/u**1)\/u)\/u))\/u*u)))**7 assuming u is positive.\nAnswer: u**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100558679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 + 0 + 3 + -1 - -30. Calculate the highest common divisor of 204 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/6)\/(-9*(21\/9 + -2)). Let q(f) be the first derivative of 0*f**3 + 13 - 4*f + k*f**2 + 3\/4*f**4. What is the first derivative of q(z) wrt z?\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 159 - 57. Let i = -21066 - -21100. Calculate the highest common divisor of g and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/((g\/(g**(-4\/11)\/g))\/g))*g)\/g*(g**5*g)\/g)\/(g*g**(-8))**(-50) assuming g is positive.\nAnswer: g**(-3769\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -29. Which is bigger: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 1\/12*w**4 + 0*w + 1\/6*w**3 + 2*w**2 + 0. Let i(z) = -1. Let o(b) = -2*i(b) - q(b). Find the first derivative of o(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - -1*sqrt(176)) + sqrt(44))\/(3*(-3*sqrt(4) - sqrt(4)) - sqrt(4)).\nAnswer: -5*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**4 - 3*h**3*o + 214*h**3 + 4*h**2 + h*o + 749 wrt h.\nAnswer: 24*h**2 - 18*h*o + 1284*h + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**4\/7 + 87259728*w**3\/7 + 475891083645136*w**2\/7 - 1903565381697408*w\/7 + 1903565730736384\/7 = 0. What is w?\nAnswer: -10907468, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*r = -3*r - 775, -5*q - 2*r - 971 = 0. Let j = -123 - q. Let s = 87 + j. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 3*h + 6, 8 + 5 = 3*t - h for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3 = f. Suppose -f*h + 1 - 19 = 0. Let m(j) be the second derivative of -j**3\/6 - 5*j**2\/2 + 6*j. Give m(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171676973.\nAnswer: 13, 569, 23209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r = 5*r + 16. Let n be -4 - (2 + 2)\/r. Let t(c) = c + 5. Give t(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**2 + 3270*q - 3275 = 0. What is q?\nAnswer: -655, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 63*q - 380. Determine r(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(931) + -1 + -5.\nAnswer: -5 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 1. Let a be (-630)\/(-84)*4\/(-5). Let v(t) = 2*t**2 - 6*t - 6. Suppose r + 3 = 7. Suppose s - r = 5*s. Determine a*x(u) + s*v(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 - 4*i + 1. Let b be j(3). What is the greatest common divisor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 3, 68129 in decreasing order.\nAnswer: 68129, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-2 - (-4 - -2)). Let o be (6\/(-15))\/((4\/(-6))\/(-1)). Which is the closest to z? (a) o (b) -3 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(3*q + 1 - 1 + 2*q + 6 - 6 + (-2 + 0 + 3)*(0*q + 0*q + 2*q))*(q - 4*q + q).\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2365 - 3649*i**3 + 2363 - 440*i - 34*i**3 wrt i?\nAnswer: -22098*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9440 plus 3?\nAnswer: 9443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i**4*u + 11*i**3 - 34616*i*u + 22684796*u wrt i.\nAnswer: -4*i**3*u + 33*i**2 - 34616*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -187229 - -2457911\/13. Let y = -1842 + s. Let p = 181\/182 + y. Which is smaller: 2\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0.916, -5, 0.8.\nAnswer: -19, -5, 0.8, 0.916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3267?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -2\/19, -0.4, -6\/7, 0.1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/12*2*-2. Let n = 6.4 - -1.6. Let v = n + -7.9. Is v greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 - 4*w**2 - 22*w - 2. Let v be z(7). Put 4, -1\/2, v in descending order.\nAnswer: 4, -1\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 9*k - 3187436 = -10*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -801 + 807. Solve 2*h - c = 0, 10 = -3*f + 4*f + 3*h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, -24\/43, 1\/6, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.5068242 to 1 decimal place.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 205758283 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3\/5 - 11787*u**2\/5 + 11616*u\/5 + 659904\/5.\nAnswer: 3*(u - 3928)*(u - 8)*(u + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 295*x + 13563. What is q(-46)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002553728 rounded to 4 decimal places?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162334602.\nAnswer: 2, 11, 13, 4064107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(18) + 0 + 0) - -3*sqrt(144)\/sqrt(2)*4)**2.\nAnswer: 6498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 + 677*a + 36770. Determine g(-91).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 27 and -3620.\nAnswer: -97740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 3:54 PM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 - -0.19. Let n = r - 0.09. Which is the closest to -2? (a) -0.2 (b) n (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114165+-0.04204\nAnswer: 114164.95796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -52873 not equal to -52881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5659286 at most as big as 5659285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(52) + -5) + (2*sqrt(117)*6)\/sqrt(9).\nAnswer: -25 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192*-11.\nAnswer: 2112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26\/9*o**3 + 128\/9 - 90*o**2 + 236\/3*o = 0. What is o?\nAnswer: -32, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12711293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Determine k so that -6*k + 24*k**2 - 9*k**3 - k**5 + 13*k**5 + c*k**3 - 3 - 21*k**4 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30187 at least as big as -30175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o - 22. Give d(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 45*q**2 - 50*q - 175. Let m be z(-46). Is m\/((-27)\/12) - -7233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -503 divided by 68?\nAnswer: -503\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 220\/(-120) - -2 - 17950\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 66 = k. Let b = k - 32. Let l be (3 - 2) + 0 + b. What is the biggest value in l, 5, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -4*-2*sqrt(833).\nAnswer: -2 + 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -0.2 (c) 1 (d) 64 (e) -352\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-242)\/33)\/(-22))\/(3\/27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*d = 4*o - 437, 20 = -5*d. Let b = 95 + o. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15193393*u**3 + 5560190*u wrt u.\nAnswer: 91160358*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182147 is divided by 71.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11884 = 13*k + 293421. Let l = k + 33445. Round l to the nearest one hundred.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7305*v - 1366049. Determine m(-187).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -11*b - 33. Let s be y(-4). Suppose 11*v - s = 10*v. Calculate the common denominator of (0 - 316\/(-150)) + v\/33 and -47\/5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 7*h = 15, 5*h = -527*f + 531*f - 14 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of (-20 + 0)*(-1)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 + 6*h + 3. Let z be d(-5). What is the tens digit of 2 + (-37 - -1)\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 198, 293, 388?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -37*b**2 + 9*b - 2. Let p(a) = 18*a**2 - 5*a + 1. Calculate 11*p(s) + 6*r(s).\nAnswer: -24*s**2 - s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - g + 0 = 5, -3*w - 5*g = 25. Let h(l) be the first derivative of w*l**2 + 1\/3*l**3 + 0*l + 1. Let b(r) = -2*r. Calculate h(b(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q - 69*q + 2*g - 752 + 766 = -32*q, -4*g = 0 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0381035+0.3\nAnswer: 0.2618965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -7212700.9 to the nearest 1000.\nAnswer: -7213000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5060 by -5.\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24276783.\nAnswer: 3, 2803, 2887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 5:43 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38479?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 8*k**2 + 17*k - 24. Calculate the lowest common multiple of p(-10) and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9336 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6579832*g**2 + 6579937*g**2 - 13159770*g**2.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 12:23 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 20. Suppose 0 = 2*w - 5*d - 291, -5*w + d + q*d + 720 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from novjbuonobuv. Give prob of sequence jon.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 0.232, -20, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**2 - 3*d**2 + 3*d**2 + (0*d**2 + d**2 + d**2)*(0 + 6 - 2) + 0*d**2 + 0*d**2 + d**2 + 2*d - 2*d + d**2 to f + h*d**2 + s*d and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14696700251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -6*o - f + 9, -o + 21 = 5*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*i - 188*i - 1710 = 0. Calculate the highest common factor of i and 665.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**2 + o + 1. Let v be k(-1). Suppose -v*f = -17 - 25. Let g = 21 - f. Solve 4*b - 3 - 5 = g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12\/(-16) - 412\/(-16) is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 + 24 - 18)*(o**3 + 3*o**3 - 6*o**3) + 0*o**3 + 0*o**3 - 4*o - 3*o**3 to the form k*o**3 + x + u*o + m*o**2 and give k.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 12:45 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225658357?\nAnswer: 17, 1021, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144, 111, 78, 45?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**2 + 84567*w + 845970 = 0. What is w?\nAnswer: -10, 28199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 276582 to the power of 1\/2, to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2801*c**2 + c + 61. Let z(b) = b. What is z(x(o))?\nAnswer: -2801*o**2 + o + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 10*z**2 - 19*z + 200. Let g be (-3)\/(-12) + (-630)\/(-72). Is c(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 11:26 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**3 + 5*a**2 + 3931*a + 10. Let m(v) = -v**3 + v**2 + 9*v + 2. Calculate -5*m(i) + x(i).\nAnswer: i**3 + 3886*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3912.619 - -3920. Let y = 0.019 + h. Round y to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41294 and 28.\nAnswer: 578116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -43 (c) 83 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4))**(-26\/7)\/((d\/d**(-4\/3))\/d**(-2\/9)) assuming d is positive.\nAnswer: d**(-205\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lmlmmmllxr. Give prob of sequence rx.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -0.4 (b) 1 (c) -83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 1. Let i(y) = -2*y**3 + 6*y**2 + 2*y + 2. Let x be i(3). Let z(a) = 4*a + 4. Give x*l(w) - 2*z(w).\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 642425009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-25) + 68\/(-5). Let f be 2\/(-7) - 60\/a. Suppose f*b + 8 + 0 = 0. Let d(z) = -z**2 - z - 2. Determine d(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 + 340. Let x = -442 + h. Is -1\/1036 smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 180599027 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/6)\/((-1)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3058860 and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d**2 + d. Let s be a(1). Let x be (10\/8)\/(s\/(-232)). Let f = x + -87. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -404073 + 404073 - 28*w**3.\nAnswer: -28*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 525*v**2 + 46*v + 259. Is o(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11141.\nAnswer: 13, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-11))**35\/(w**(-4)\/((w*w**25\/w)\/w*w)))**(10\/9) assuming w is positive.\nAnswer: w**(-3560\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 22*y + 3. Let n(m) = m**2 + 43*m - 5. Give -3*n(j) - 5*q(j).\nAnswer: 2*j**2 - 19*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -50 + 342?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5 + 409*g**4 - 54711*g**3 + 2484031*g**2 - 9241120*g + 6811392 = 0.\nAnswer: 1, 3, 112, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 3:47 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b - 12. Let y be h(0). Let v be (-1 - (-2)\/3)*y. Let z = v - 2. Solve z*s + 12 = -4*w, s + 3*s - 12 = 4*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**6\/300 + 103*g**5\/150 - 26*g**4\/15 + 1784*g**2. Factor u(s).\nAnswer: 2*s*(s - 1)*(s + 104)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -16857, -134301, -453069, -1073823, -2097225, -3623937, -5754621?\n\"Answer: -16777*a**3 - 5*a - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5*h - 12 = 0. Let c be 10\/(-2)*(2 - 3). Suppose 8 = c*v - 7. Solve -5*b = -v*x - 20, 3*x - 2*x + h = -b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, v: 12}. What is prob of sequence vvk?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 5*t**8\/336 + 5*t**4\/24 - 3*t**2. What is the second derivative of o(l) wrt l?\nAnswer: 100*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7, -27, -61?\n\"Answer: -34*f + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.3 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 120*q + 729. Give c(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7656, 7654, 7652, 7650?\nAnswer: 7648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, -2569, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 17*m**3 + 3*m + 3. Determine s(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6)*-582 - -6. Suppose 5*v - 3*r + g = 9*v, v = -2*r + 45. What is the remainder when v is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f + v - 32 = 7*f, 5*v = -15. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 5:53 AM?\nAnswer: 3:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/2 + -3 + (1 - -80). Suppose -v + p = 18. Let u = v + -46. Solve -5*j = -d + 11, u = -5*j - d + 6*d for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 6:17 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((-8 + 12 - -2) + -15 + (9 - -2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 0. Suppose 0 = 4*n + p*k + 692, 5*k - 885 = 7*n - 2*n. Let t be (-1 - 1) + (-364)\/n. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*w)*(w**2 + 2*w**3 - 10131 + 10131 + 201*w**4).\nAnswer: -402*w**5 - 4*w**4 - 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 - -49. Suppose -3*l = -0*l - j. Let z(v) = v**2 - 5*v - 1. What is z(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqiqqqqqtqqtqqqqqqti. What is prob of sequence tiqq?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of j**7\/504 - j**5\/40 + j**4\/12 + j**2. Let o(t) be the second derivative of s(t). Find the first derivative of o(n) wrt n.\nAnswer: 10*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1068619 to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2\/(-2)*-2*(-7)\/(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3234184 is divided by 284?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57595241 is divided by 2914?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3*-2*-1*(-10)\/(-810)*-6\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 411 + -412. Let z(u) be the second derivative of -u**4\/12 + 2*u. Let g be z(i). Put -12, -4, g in decreasing order.\nAnswer: g, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a decade in months?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-103 - -103) + -1 + -18 + 3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12809.9 + -12810. Let l = -247 + 2719\/11. What is the fourth smallest value in a, -7, l, -0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -17*j**3\/3 + 6*j**2 + 54*j. What are the prime factors of b(-26)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - g + 2. Let z be t(2). Let b(v) = 5 + 2*v - 5*v + 2*v + 2*v. Let l be b(z). Calculate the highest common divisor of 81 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*k**2 + 22*k**2 + 13*k**2)*(0*k - k - k)*(-13 + 4 - 5).\nAnswer: 588*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*z + 61*z = 11536. Let v = z - -745. Solve v - 4 = 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 232424 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 156740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 149458514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (712\/(-4005))\/((-4)\/(-6)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5679162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -164145 - -406345. Suppose 3*k - 10*k - p = 0. Round k to the nearest 1000.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -840*y**2 - 957 wrt y?\nAnswer: -1680*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*k + 17, 0*p - 3*k + 12 = p. Let h = 9 + p. Suppose 2*j - 16 - h = 0. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*d + 74*d - 22*d**2 + 80*d - 229*d + 3 to p*d**2 + u*d + o and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*z, 2*z = 3*y - y - 48. Calculate the least common multiple of 39 and y.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 5:29 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1039, 1244, 1447, 1648?\n\"Answer: -p**2 + 208*p + 832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21616.\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**3\/6 - 4*k**2 - 2*k. Let i be v(8). Suppose -2*y = -i - 14. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + d + 3*d = 12, 0 = -3*i - 2*d + 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 23 - 18 + 6 - 331*q to d*q + g and give d.\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94561258, -189122515, -283683772, -378245029, -472806286?\nAnswer: -567367543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*m - 14 = 0, 3*p + 2 = 2*m + 1. Suppose 0 = -2*h - p*h. Which is the nearest to -1? (a) -4 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.487 - 1.887. Sort 1\/9, -1199, t.\nAnswer: -1199, t, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 28 = -7*b. Suppose b = 2*u + 3. Let t be u\/(1 + 1)*4. Solve -c = 4*v - 0*v - 22, 0 = -t*c - 2*v + 18 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-54)\/(-7))\/3 - 2. Let u be (4\/6)\/((-2)\/6). Let p = -1 - u. Is p less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*(-19 - (-21 + 4))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 8 - 1 - 8)*(0*o**3 - 2*o**3 + o**3).\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2604607 + -2587231.67. Let a = c - 17236. Let y = a - 140. Round y to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 - 0.33. Let c be (-9)\/(-18)*(-1 - -1). Suppose -5*p - d + 10 = c, 0*p - 2*p - 2*d = -4. Which is smaller: p or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.4 + 14.4. Sort -5, 6, l in decreasing order.\nAnswer: 6, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 58 - 70 = 0. Suppose -d = 3*d - u. Suppose 23*t = 152*t - 2967. What is the remainder when t is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(-3 + 7 + 4)*(1 + 1 + 1)*(-5 + 3 + 3)*(8*l + 14*l - 7*l) as j*l + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*l - 5*n, l - 6*l + 4*n = -31. Solve -a = -l*a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzzuhzzhuuuuh.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1619 - -1618.5. Let g = -4\/3 + 1. Put w, -0.2, g, -1\/4 in increasing order.\nAnswer: w, g, -1\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 6*f**2 - 10*f - f**3 + 5*f**2 - 13 - 5*f - 3*f**2 - 10*f**2. What is the remainder when k(-9) is divided by 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1188 and 13\/181332?\nAnswer: 1994652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4 - 999*c**3 + 333660*c**2 - 37586384*c + 109783104.\nAnswer: (c - 332)**3*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8.7 and -3.04663.\nAnswer: 5.65337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -92.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-540)\/(-2880))\/(1 + 2\/16)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f - 2*f + 7 + 8*f. What is the units digit of m(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46311575?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5603*k - 100856. What is n(-18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -73 (base 16) to base 3.\nAnswer: -11021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 9 + 1 = 0. Let i be (-5)\/z*-2 - (-6 - -7). Let m be 1*-5*4*-1. Calculate the highest common factor of i and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -178385 - 2.8?\nAnswer: -178387.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -28 + 16525*l - 16518*l - 154. Let m be i(26). Solve -3*f + 4*u + 2 = 1, 3*f + 3*u - 15 = m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - 8.488.\nAnswer: -20.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3641 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*f + 480606 = 484206 for f.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/12)\/((-21)\/(-18))*(-180)\/135\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from {j: 1, i: 1, w: 4, p: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-87)\/(-116))\/((-45)\/10))\/((-13)\/(-1326)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 6:01 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 315 divide 554240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001 less than 0.0008007537?\nAnswer: -2000.9991992463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*j**2 - 31*j**2 - 21*j**2 + 18*j**2 to the form h + y*j**2 + v*j and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 smaller than -230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 681 divide 256056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1424 is divided by 198?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4190 by -1.\nAnswer: -4190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + (4 + 9 - 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*d - 7714 = 31*d. Is 19 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11544984 divided by -17028\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -385*x - 6 - 7*x**2 + 18 + x**3 + 380*x. Calculate j(9).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 58 = -h - 3*d, -2*h + 2*d + 100 = 0. Suppose -2*v = -0*v + h. Which is smaller: -27 or v?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -180 (b) -1\/2 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-346 - j**2 + 2*j - 70 + 1258)*(1 + 3 - 5) as r*j**2 + u*j + p and give p.\nAnswer: -842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 132 or -94447?\nAnswer: -94447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, y: 2, e: 1, b: 1, t: 1, r: 1}. Give prob of sequence eebt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107997 - 36643.\nAnswer: -144640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4 - 524*g**3 - 520*g**2 + 524*g + 522 = 0.\nAnswer: -261, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -46*h**3 + 28*h**2 - 4*h?\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41742283 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15816888?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 5. Let y be ((-12)\/(-15))\/((-2)\/(-10)). Let r be p(y). Let g = -111 + 176. Calculate the greatest common divisor of r and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + s. Let c(b) = 4*b**2 - 4*b + 23. Let d(y) = c(y) + 6*k(y). What is the smallest common multiple of d(0) and 7?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in -2\/17, 0.3, 0.9?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -1474023?\nAnswer: 1474022.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1725\/(-138)*(-1)\/((-2)\/(-4)). Let v be 685*10\/z - 5. Which is smaller: v or 268?\nAnswer: 268","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149049.3m to millimeters.\nAnswer: 149049300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-420)\/(-350)*20\/(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8580 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*m + 571*m - 17112 = -305*m for m.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/449 < -0.0136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43.574 + -0.026. Let w = -6.4 + k. Let q = w - -49. Which is the biggest value? (a) 2\/11 (b) 0.2 (c) 5 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 2 = 4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 80, 519, 1242, 2243, 3516, 5055, 6854?\n\"Answer: -d**3 + 148*d**2 + 2*d - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0050956825 to six dps.\nAnswer: 0.005096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7889567327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13951, -2, 0, -0.04.\nAnswer: -2, -0.04, 0, 13951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(3\/9 - 1). Let x(u) = u**3 + 3*u**2 - 4*u + 3. What is the units digit of x(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18957*-1.3832\nAnswer: 26221.3224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.015, 468, 0.05, 1\/8, 5 in decreasing order.\nAnswer: 468, 5, 1\/8, 0.05, 0.015, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 238.7 - 249. Let c = p + 10.29999772. What is c rounded to 7 dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 321. Let b = -854 - -890. Is 5 a factor of m(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 1341947 - 2*s + 1341947 - s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, 0.5, 4, -8.4 in descending order.\nAnswer: 4, 0.5, -8.4, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -11, 12, 4 in decreasing order.\nAnswer: 12, 5, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1512 = 6*b - 3*b. Suppose -2*g + b = -3*s + 8*s, 4*g + 3*s = 980. Suppose 2*l + 6*x - 2*x - g = 0, x = 3*l - 335. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 210.5368 to the nearest ten.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(-116*b**2 + 228*b**2 + 107*b**2)*(b + 1 - 1).\nAnswer: -219*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -55*k + 19. Let x(v) = 67*v - 19. Give -5*b(p) - 4*x(p).\nAnswer: 7*p - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.027147263 rounded to five decimal places?\nAnswer: 0.02715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106.9 + -106.1971. What is q rounded to two dps?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3664*r + 113*r = -173742 for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 4:20 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 6*i - 9. Let o be k(-7). Let s = o + -2. Sort -6, s, -5 in ascending order.\nAnswer: -6, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(-45*h - 26*h - 38*h)*(4 - 3 - 13).\nAnswer: -1308*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79 and 1501.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -79 - 2*m + 79. Determine b(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**4 - 6*k**4 + k**4 + (-k + k - 3*k**3)*(3102 - 71*k - 3102) + (3*k**2 + k**2 - 5*k**2)*(k**2 + 0*k**2 + 5*k**2).\nAnswer: 205*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-37 + 30 - (0 + -6)) + (120 - (9 + 1))\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2\/7 + 13322*a\/7 - 240444\/7 = 0.\nAnswer: -6679, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3509, -28060, -94695, -224456, -438385?\n\"Answer: -3507*c**3 - 2*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/8 of a week?\nAnswer: 16380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14042 and 12733?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -479, -1890, -4237, -7520, -11739, -16894, -22985?\n\"Answer: -468*j**2 - 7*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (4\/2 - 14). Suppose v = y + 18. What is the greatest common divisor of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3802 + 3802 - 6823*y**3.\nAnswer: -6823*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240953126.\nAnswer: 2, 71, 1123, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 3\/5, 1\/2477, -0.4, 8\/5?\nAnswer: 1\/2477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*s - r, 1758 = -4*s - 3*r + 1738 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 70134959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 5. Let g(w) = w**3 + 3*w**2 - 7*w - 5. What is g(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1616 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 138985520 to the power of 1\/2, to the nearest integer?\nAnswer: 11789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/33 (b) 5 (c) -3\/19 (d) 8 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-19))**18\/((u\/(u\/(u\/(u**(-1\/12)*u))*u*u)*u)\/u**(-1\/4)) assuming u is positive.\nAnswer: u**(-1024\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, q: 13}. Give prob of picking 2 u.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + t + 2*t)*(-t + 0 + 0)*(-64 + 64 + 16*t**2) to the form g*t**4 + b*t + p*t**3 + w*t**2 + v and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*f**5 + 6*f**3 + 1031*f?\nAnswer: 260*f**3 + 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4834\/3? (a) 4 (b) 2\/9 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.36 and 1428.\nAnswer: 1942.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24289 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - d - 2)*(2 - 6*d + 31*d - 27*d + 2387*d**2) to a*d + x*d**3 + q*d**2 + k and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*(sqrt(76) + (1 + sqrt(76))*-4 - sqrt(76))*4*4 + 0)**2.\nAnswer: 65536*sqrt(19) + 1261568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4995 and 7?\nAnswer: 3.4965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004548 to 6 dps.\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 138\/(-115)*30\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 2500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -5*q + 12. Let g be o(0). Suppose 2*d + 2 + 142 = 0. Let v be 3\/4 + 38\/d. Sort 2, v, g.\nAnswer: v, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 3*n + j, 3*n + 59 = -14*j + 4*j. Sort 46, 2, 3, -5, n in descending order.\nAnswer: 46, 3, 2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 3:06 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/233 + -5140\/1631. Find the common denominator of -48\/7 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 95*f**4\/8 + 295*f**3\/12 + 5*f**2\/2 + 90*f. Factor s(z).\nAnswer: 5*(z + 1)*(57*z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -0*b. Suppose -v = -5*z + 21, 1 = -v - b*z + z. Let d(y) = 2*y**2 + 2*y + 1. Let m be d(-2). Sort m, 3, v.\nAnswer: 3, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -2 + sqrt(5) + -2 - (sqrt(15)\/(sqrt(3) + (sqrt(27) - sqrt(3))))**2.\nAnswer: -41\/9 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 plus 318.079426476?\nAnswer: 289.079426476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8*a**2 - 139*a - 46. Let s be b(-16). What is the greatest common factor of s and 1235?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 4*f**2 - f - 6. Suppose 3*p - p - 60 = 0. Suppose o = -4*o - g - p, 0 = 3*o + 4*g + 35. Does 24 divide i(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(3\/1) - -8. Suppose z - i = 2*z. Find the common denominator of -22\/9 and (-2)\/z + (-127)\/12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c55 (base 15) in base 11?\nAnswer: -16337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y - 1. Suppose -2*i = -0*i - 4. What is the units digit of s(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 1503 + 21\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -824 + 932 + 11*f + 5*f**2 - 3*f**2 + 25*f + f**2.\nAnswer: 3*(f + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 1:58 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/2115 and 7\/5.\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 42790, 48159, 53528, 58897, 64266?\n\"Answer: 5369*j + 37421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 - 2*t + 2*t**2 - 9*t - 8*t to the form v + u*t**3 + l*t + z*t**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.1 + -3.04. Suppose 3*h + 9 = 0, -4*s + h = -2*h - 93. Suppose s = -6*d - d. Which is the nearest to 2? (a) n (b) d (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1583 = -4*a - i, 0 = 4*a - 3*i - 195 + 1782. Let c = a - -1392\/17. Let k = -314 - c. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.27 and 0.7.\nAnswer: -5.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2643768 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 181027, 181028, 181031, 181036?\n\"Answer: t**2 - 2*t + 181028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 485.5725ug to tonnes.\nAnswer: 0.0000000004855725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/3*9*(-4)\/(-18)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 0 + 1 - 12*d**2 - d - d**3 + 10*d**2 - 2. Let n be h(-2). Let i = -32 - -31. Put 2\/3, i, n in ascending order.\nAnswer: i, 2\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 363462, 363482, 363500, 363516?\n\"Answer: -c**2 + 23*c + 363440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 29\/263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 + 444*b + 24*b + 0*b**2 + b**2 + 305*b.\nAnswer: b**2 + 773*b - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.8 + 15. Let n = 11 - f. What is the smallest value in 1\/7, 3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11354 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3086.043 times -5\nAnswer: -15430.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 75? (a) -4\/7 (b) 92 (c) 3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5605 (base 8) to base 10\nAnswer: 2949","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -10*n - 3. Let a(x) = x + 7. Let u be a(-8). Let b be k(u). Find the second derivative of -12*d + b*d**3 + 11*d - 5 + 5 wrt d.\nAnswer: 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, o: 1, s: 1, k: 2, g: 1, i: 2}. What is prob of picking 1 k and 1 s?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254324.4 decades to months.\nAnswer: 30518928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3 less than -8.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u*(u**(1\/3)\/u*u)\/u*u))**(-2\/15))**(-2\/61)*((u\/u**(-9))\/u**(3\/4))**(6\/35) assuming u is positive.\nAnswer: u**(60547\/38430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 105. Let j(d) = 2052193*d**2. Calculate g(j(r)).\nAnswer: -2052193*r**2 - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 6:06 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -23. Sort a, 0, 1.\nAnswer: 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**5 + 3*a**4 - 21*a**3 - 39*a**2 - 18*a = 0. What is a?\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -7, 5, -17 in decreasing order.\nAnswer: 5, -2, -6, -7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11\/3 + -4. Let h = 627 + -565.2. Let f = h - 62. Which is the nearest to q? (a) f (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39513235127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 143\/3 + -47. Which is the nearest to -2\/5? (a) 5 (b) -3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g - 2. Let n(x) = -2*x + 1. Let y(v) = 3*l(v) + 5*n(v). Let u(w) = -w. What is -3*u(h) - 2*y(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 833258 and 14?\nAnswer: 5832806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m - 6*m**2 + 2*m - 19 - 3*m**3 - 8*m**2. Let o(t) = -2*t**3 - 9*t**2 + 3*t - 13. Let s = -357 + 352. Let i(y) = s*n(y) + 7*o(y). Give i(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -295.3 times 0.02\nAnswer: -5.906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -44 and 3.71653?\nAnswer: 47.71653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -6, 0, 0.3 in decreasing order.\nAnswer: 5, 0.3, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 102 - (-500 - -471)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -2d?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 68) + 31 + 22 + 71.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*94\/(-12) + -2. Let p be -7*(1672\/(-133) - -15). Which is bigger: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -3*o - 76, -5*k - 1438 = -3*o - 1464 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 1 = 3*i, -5*a + 980 - 992 = -7*i for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000582 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2880350?\nAnswer: 3\/2880350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 308926941 a multiple of 569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -149, 1\/2, -4, -3\/5, 94.2 in decreasing order.\nAnswer: 94.2, 4, 1\/2, -3\/5, -4, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31.59 + 30.7. Let u = l + 1.89. Suppose 3*n - 4*n = 4. What is the nearest to u in -0.2, n, -3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2128173 grams in kilograms?\nAnswer: 0.0002128173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85 + -57. Suppose -56*g + 39*g = -28*g + 1232. What is the least common multiple of n and g?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by 6\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -752 + 764 + (-670)\/56?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217560798 divided by 26?\nAnswer: 8367723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 6*i - v + 86 = 0, 7 = -i - 4*v. Let r(f) = -14*f - 24*f + 92 - 22*f - 27*f. Is r(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6068.\nAnswer: 2, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-4 + sqrt(80) + 0 + sqrt(80) + sqrt(80) + 2)*5 + 4*1*((1*(1 + sqrt(80)))**2 + sqrt(80) + sqrt(80))).\nAnswer: 372*sqrt(5) + 942","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.828 or -1425?\nAnswer: -1425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -317, -10, 2, -29, -3, 0 in descending order.\nAnswer: 2, 0, -3, -10, -29, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b054aa9 + 0?\nAnswer: b054aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1796185, 3592490, 5388793, 7185094, 8981393?\n\"Answer: -l**2 + 1796308*l - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 53\/4 of a century?\nAnswer: 15900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.4? (a) -1\/5 (b) 0.3 (c) -3 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116066?\nAnswer: 2, 131, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 222652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 9:54 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325d3 (base 14) in base 13?\nAnswer: 1a1391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -550 (b) -0.1 (c) -2\/15 (d) 1.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98071*q - 48972*q - 3*q**3 - 49099*q.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/450 and (-238)\/36 - ((-352)\/(-33))\/8?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*-63*(-5)\/35.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -1\/3*o**3 + 3\/2*o**2 - 3*o - 2. Determine l(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(468) + -2 + -1)*-2*4)**2.\nAnswer: -36864*sqrt(13) + 488448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g = -8*g - 14100. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2711 - 2711.152029. Let j = m - -0.152. What is j rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -28863 = -298*c + 5080 + 41749. Calculate the remainder when 399 is divided by c.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 8:54 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 22*l - 7 = -21*l, 0 = -4*h - 10*l - 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185023438?\nAnswer: 2, 31, 397, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9395 (base 10) in base 7?\nAnswer: 36251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(0 + -1) + (-4 - -15). Solve -k = 2*f + 3*b, 0*f + 3*f - 2*b = -8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/8568*-17)\/((-1)\/(-45))?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -4785948.\nAnswer: -2\/1196487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13900*g**2 + 424*g**3 + 1187*g**3 - 13900*g**2.\nAnswer: 1611*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -570 + 557. Sort -0.5, i, -6\/11, -0.4, -1\/4 in descending order.\nAnswer: -1\/4, -0.4, -0.5, -6\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*w + 280*w = 508. What is the third derivative of -43*x**2 + 100*x**5 + w*x**2 - 11*x**2 + 203*x**2 - 2*x**3 wrt x?\nAnswer: 6000*x**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 10, 2*r = 3*f - r - 285. List the prime factors of f.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-21)*14\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from {p: 6, t: 6}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19470 and 2.\nAnswer: 19470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.57 - 0.03. Let x = u + 1.1. Which is the biggest value? (a) -0.3 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27357 - -1152088. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -24*l**2 + 155*l - 430. What is h(9)?\nAnswer: -979","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5551 is divided by 931?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 18*w + 3*c + 875, 840 = -5*w + 4*c. Let z = 307\/12 + -229\/6. Calculate the common denominator of w\/3698 + (-1031)\/(-903) and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4172 + 19.4872. Let o = u - 19. Put o, -2, 0 in increasing order.\nAnswer: -2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 81 + 38 - 155 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -181\/2220 and -33\/108410.\nAnswer: 650460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3526.858ml in litres?\nAnswer: 3.526858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 29, 2, 10, 0.81?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 33 - (103 - 39).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2920 = 15*h - 10*h. Suppose -s + 283 = 3*n - 572, 2*n - 4*s = h. Is n a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24296712?\nAnswer: 2, 3, 11, 92033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -0.01881799911?\nAnswer: -0.08118200089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (18\/12)\/(2\/12) + (-181395)\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + 0 + sqrt(1573) - sqrt(1573)) + sqrt(1573))*-3)**2 + ((3 + 1 + sqrt(1300))*-6)**2.\nAnswer: 2880*sqrt(13) + 61533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 6*o**2 - o + 85. Does 17 divide u(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -s - 3. Solve 0 = 5*y + 2*n - s, 3*y = -0*y + n + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13, -18, -29, -46, -69, -98, -133?\n\"Answer: -3*r**2 + 4*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 380\/244*9 - (-3 - -17)?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 + -1.6. Let b = -822 + 826. What is the closest to k in 2, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) 1 (c) -2 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*r + 5*w + 20 = 0, -2*r = 2*w + 20. Let h be r*(-2 - 228\/8). Let z = h - 38. Round z to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 - 70*p + 33*p + 19249*p**3 - 120 + 37*p.\nAnswer: 19249*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, n: 2, i: 1, h: 1, m: 2, j: 1}. What is prob of picking 1 j, 1 i, and 2 m?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnnnynnnnnnnnnnnnnnn.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**7\/30 - 2*g**3\/3 - 5*g**2. Differentiate z(w) wrt w.\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.5 - -4.24. What is l rounded to one dp?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5047?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n\/(n*n**(2\/5)))*n)\/((n\/(n*n**(1\/4)))\/n*n))**(3\/13) assuming n is positive.\nAnswer: n**(159\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 8*z**2 + 6*z**2 + 8*z**2. Let g(f) be the second derivative of -f**3\/3 + 1038*f. Calculate g(d(y)).\nAnswer: -44*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/15 + (-9)\/(90\/(-28)). Suppose 2*j = -4*k + 102, 2*k = g*j + j + 63. Solve -2*x = 2*o, 5*x + k = -o + 5*o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9925 * 0.4\nAnswer: 3970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of 1 + 3\/2*m**2 - 6*m + 1\/3*m**3. Give n(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 5:09 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.07, -1, 0.11, -2\/7, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 93835664 and 126952?\nAnswer: 656849648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0*k)\/k**(-4\/9)*(k**(2\/7))**(-16\/3))**(2\/5) assuming k is positive.\nAnswer: k**(-2\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2070, 2058, 2022, 1950, 1830, 1650?\nAnswer: 1398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 4 - 7 - (-3 + 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -2.9. Let s = 65.87 - 66. Let v = -5.13 - s. Sort m, v, 0.19.\nAnswer: v, m, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143\/24 - 45\/8. What is the fourth smallest value in k, 41\/2, 2, 0?\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2982380711 - -221?\nAnswer: 2982380932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*j - p, -4*j + 3*p + 4 = 6*p. Let z be 110\/(-280)*-7 + 1\/j. Solve 3*u - z*h + 3 = 0, -3*h - 8 = -2*u - 6*h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5456 and 352?\nAnswer: 10912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j - 41 = 52*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32350 - 32091. What is the greatest common factor of 49 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -11404, -22812, -34218, -45622, -57024?\n\"Answer: i**2 - 11411*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 19, -643, -2, -1 in descending order.\nAnswer: 23, 19, -1, -2, -643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2)*(5337*o**2 + 4590*o**2 + 10052*o**2 + 10914*o**2 - 4671*o**2) to the form c + l*o**2 + b*o and give l.\nAnswer: -26222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1117092 weeks in nanoseconds?\nAnswer: 67561724160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 6 = -5*j + 17, -1 = j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.3 - -9?\nAnswer: -80.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 12*g - 30. Let z(q) = 3*q**2 - 16*q. Calculate z(y(h)).\nAnswer: 432*h**2 - 2352*h + 3180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -1, -4 in increasing order.\nAnswer: -4, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -852 by -426.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*r - 116*r - 8 = -5*q, 20 = 2*q - 5*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 297217 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - i - 8 = 0. Suppose 2*q - 7 = 3. Solve -q*c + 20 = -5*a, -3*a - i*a - 20 = -4*c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**3 + 8*m**2 + 10*m - 4. Calculate the least common multiple of 24 and y(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*i - 25 + 56 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 94627102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29995 - -0.5.\nAnswer: -29994.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**2\/2 - 5*s - 5. Let x be w(2). Let j(u) = u**2 + 2*u - 2. Let c be j(x). Let d(r) = -8*r. Calculate d(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47740*r**5 - r + 58411 wrt r.\nAnswer: -954800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022157287 to four dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - 1020011000221?\nAnswer: -1020011000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**3 - 18*b**2 + 32*b - 3. Let s(z) = -3*z**3 + 12*z**2 - 30*z + 2. What is 2*f(y) + 3*s(y)?\nAnswer: -3*y**3 - 26*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007861916 rounded to five decimal places?\nAnswer: -0.00786","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*z + 81342 = 0, 10*l = 5*l - 2*z + 135570. What is the thousands digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 111*g**3 - 1 + 11*g**2 + 114*g**3 to the form z*g**3 + k*g + j + l*g**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12 + 460\/40)\/(2\/(-16)). Let m(h) = -7*h + 4. Let z(k) = -6*k + 3. Suppose 0 = -4*y - 3 - 9. What is u*z(v) + y*m(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b**2 + 15*b**2 - 8*b**2 - 2*b**2 + 0*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqjjzqjjqz. Give prob of sequence jj.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 162\/45 + 6\/(-10). Suppose l*m + 852 = 3*y, -3*y - 1465 = -8*y - 4*m. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*k - 26*k + 2686 = 0. Let c(b) be the first derivative of 1\/2*b**2 + b - 1\/12*b**3 - 1\/16*b**4 + k. Factor c(u).\nAnswer: -(u - 2)*(u + 1)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47250\/(-2250))\/(1*(0 + 1)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33770 - -a?\nAnswer: -33761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + 1 + 7 - 5) + 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) - sqrt(312)\/sqrt(8))*-1*6)\/(sqrt(192) + (sqrt(192) - (-5*sqrt(192)*-3 - sqrt(192)) - sqrt(192))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402 = 2*k + 2*q, -3*k + 4*k + 5*q - 213 = 0. Let m = k + -125. Let x = m + -73. Solve x = -4*n - 3*j + 10, 2 = -5*j - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 15*b + 21. Let t(v) = -3*v - 4. Let m(p) = -4*f(p) - 21*t(p). Let i(w) = -w**2. Calculate m(i(z)).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 divided by -61?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0513 + 0.0487. Which is greater: 53 or x?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1\/p)\/p*p*p)\/(p\/(p**(2\/9)*p))*p**1*p\/(p**8*p) assuming p is positive.\nAnswer: p**(-52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 393 divide 905342409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12007, 12009, 12011, 12013?\n\"Answer: 2*y + 12005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*g + 3*g. Let i be 2\/6 + (3 - g). Suppose 0 = 5*s - z + 16, 2*s + 2*z + 4 = -0*s. What is the biggest value in i, 2\/15, s?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 328, 954, 2172, 4180, 7176?\nAnswer: 11358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10 = 1. Suppose -j*h - 2*t + 3*t = -42, 5*h = -t + 78. Does 8 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55663815 to the power of 1\/2, to the nearest integer?\nAnswer: 7461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1 (b) 5 (c) 7 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 1\/6*v**4 - 2\/3*v + 5\/6*v**3 + 4\/3.\nAnswer: -(v - 2)**3*(v + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Suppose 21*k - 26*k - 70 = 0. Let w(q) = q**2 + 13*q - 8. Let j be w(k). Let y(v) = 0*v - 7 + 396*v**2 + 4*v - v - v**3 - 390*v**2. Give y(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**3 + 60*y**2 - 48*y + 12. Let a(z) = z**3 - 24*z**2 + 19*z - 5. Let g(p) = 12*a(p) + 5*o(p). Factor g(s).\nAnswer: -3*s*(s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44834813?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 35, 4, -68?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -13*d - 23. Let z be h(-2). Let b be -7 - (-19)\/3 - (-14)\/3. Solve z*x - 3*w - 9 = 0, x - 1 = b*w + 11 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 3, 9, 10, -12 in increasing order.\nAnswer: -12, -4, 3, 5, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**3\/11 + 292*a**2\/11 + 2946*a\/11 - 3240\/11 = 0?\nAnswer: -135, -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 3*w. Let i = 1 + w. Let m be 6 - (0\/(-3) + i). Solve 0*s + m = 5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3 + 36 - 4024*c + 4. Let j be d(18). Let z = 27389 + j. What is z rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 4*g - 2*g**4 + (-3*g + g + 3*g)*(-37*g**3 - 13 + 13).\nAnswer: -39*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 14720?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -503704490 or -503704489?\nAnswer: -503704490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxysshxyyp. Give prob of picking 2 x, 1 y, and 1 h.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 + 2*z**2 + 4*z**2 - 83 - 123 + 235.\nAnswer: 2*z**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.3 - 11.7. Let x = t + 11. Let u = -0.609 + 0.209. What is the nearest to u in x, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 20*t**2 - 588*t - 592. Let j(c) = -3*c**2 + 1. Let x(d) = -8*j(d) - r(d). Factor x(u).\nAnswer: 4*(u + 1)*(u + 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -618\/23 != -40\/93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -2, 11, -183 in ascending order.\nAnswer: -183, -2, 11, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48 + 25. Let r = 35 + d. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2088271, 2088275, 2088283, 2088295, 2088311, 2088331?\n\"Answer: 2*i**2 - 2*i + 2088271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a - 6 + 2 + 1)*(-1126 + 2161 + 3096).\nAnswer: 8262*a - 12393","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 1, x: 4, c: 2}. What is prob of picking 1 x and 1 c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c\/(c*c**(-1))))**(-4\/3))**(-46) assuming c is positive.\nAnswer: c**(184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2529532748.\nAnswer: 2, 17, 37199011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54735*v + 3768*v**2 - 54732*v - 3770*v**2.\nAnswer: -2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 8*p - 12. Let g be r(14). Suppose -18*q + 22*q = g. Solve -6*h - q = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6204310, -0.4, -0.5, 4 in ascending order.\nAnswer: -6204310, -0.5, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38720 and 1830400.\nAnswer: 20134400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 16. Let p be u\/28 + 3826\/14. Let f = 3001\/11 - p. Put f, 0, 0.1 in increasing order.\nAnswer: f, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1447.099 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 508 divide 48013112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 100 - 240 = 31*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1 + (-3 - 3 + 5)*(-17 + 4 - 43))*(-1 + b**5 + 1) + 4*b**5 + b**5 - 3*b**5.\nAnswer: 60*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 6 + 54. What is the common denominator of 44\/7 and 1*27\/(-516)*o\/1?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4302 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 3720326 - 11220326. Round t to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1542 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5278 or 5334?\nAnswer: 5334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that b**5\/7 + 27*b**4\/7 - 244*b**3 + 11916*b**2\/7 + 76464*b\/7 = 0.\nAnswer: -59, -4, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/18*512\/160?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 2*c + 3. Let k be t(3). Suppose k = 6*j - j - 55. Calculate the remainder when j is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41 and 55.3.\nAnswer: -2267.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 4)*(5*l**2 - 4*l**2 + 6*l**2) + 0*l**2 + 0*l**2 + 2*l**2 + 4*l**2 - 3*l + 3*l + 2*l - 2*l - 5*l**2.\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 85 = -6*v. Let j(y) = v*y + y**3 + 0*y**2 - 7*y**2 + 26*y**2 - 15. What is the units digit of j(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157633, -3, 2, 3, -1, -2 in decreasing order.\nAnswer: 3, 2, -1, -2, -3, -157633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g - 8*g + 96. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-216)\/(-576) + 6\/(-16))\/5. Put 2, m, 0.3, 7\/16 in increasing order.\nAnswer: m, 0.3, 7\/16, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16804738 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2. Suppose g + 3*g = 20. Let w(p) = -p + 3*p - g*p. What is w(x(l))?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*o - 23*o - 4*o + (1 - 2 + 2)*(6*o - 11*o + 11*o) in the form s*o + c and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 184 - 182. Suppose -x*u + 2 = 0, -h - 4*u + 23 = -5. Calculate the least common multiple of 28 and h.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -3016.\nAnswer: 18096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -814 + 810. Let m be (-1)\/(-7) - 1 - -1. Let d = -3 + 3.3. Which is the closest to d? (a) h (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -t, 4*c = -t + 39 - 24 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**2 - 34855*t + 139340 = 0.\nAnswer: 4, 6967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 21 = 5*k + v, 0 = -5*k - 4*v + 9. Let q(p) = p + 5*p - 2*p - 2. List the prime factors of q(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 785164273?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -485139.896 to the nearest 10000.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**2 + 186*h - 1228. Determine k(86).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41 and 375.5?\nAnswer: 15395.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 0, 0 = -131*v + 128*v - 3*w - 2355. Let c = v + 816. Solve -c + 15 = -4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 - -72. Let q(z) = z**2 - 12*z + 14. What is q(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 3174?\nAnswer: 952.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 70799555 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: What are the prime factors of 6678?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.009 * -7445.915.\nAnswer: 67.013235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100743*m**3 - 232225*m**2.\nAnswer: -604458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + (-4 + sqrt(567)*1 + 5 + 4)**2)*-3*-1.\nAnswer: 270*sqrt(7) + 1770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2043703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -654268?\nAnswer: 3925608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-4)*8 + -13 + 14. Let m = g - -19. Suppose 5*v = 7*v - m. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373433*o + 143089*o - 416169*o.\nAnswer: -646513*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from vczlclvllc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -18. Let c = 8.855 + 0.22. Let r = g - c. What is r rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 702*c**3 - 48*c - 3 wrt c?\nAnswer: 4212*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3608589471?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24547?\nAnswer: 24547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -10495*c - 52544. Calculate u(-5).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1282 - 0?\nAnswer: -1282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 79550033833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.030174406 - -527.023310406. Let u = y + -527. Let q = 0.007 + u. Round q to five dps.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009716 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1031112963 divided by 5.\nAnswer: -1031112963\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 48 = -3*h. Suppose 38 = 5*l + h. Find the third derivative of 10*g**l - 3*g**6 + 3*g**6 - 7*g**2 wrt g.\nAnswer: 1200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 44*k - 5456 = 0. What is k rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 185955420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2410250*m**4 - 9*m**3 - 10*m**2 - 1714992*m.\nAnswer: -57846000*m - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -7*a + 2. Let f = -7 + 26. Let n = 22 - f. Let y(l) = 14*l - 5. Let m(c) = n*y(c) + 7*u(c). What is m(2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11100010 (base 2) to base 8\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1604160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 7*n**2 - 30*n + 5. Let h be f(-10). Which is the closest to h? (a) -0.4 (b) 2 (c) -1 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744*o - 37569 + 127593 = 0 for o.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3.2 and -0.3.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v. Let h(b) = 15. What is -h(y) - 2*r(y)?\nAnswer: 2*y - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(162))\/sqrt(9))\/sqrt(2))\/(-6*sqrt(432)*-2)*3.\nAnswer: sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 5*r + 1. Let q be h(4). Suppose -120 = -q*g - 0*g. Suppose 24 = -2*a + 5*a. What is the greatest common factor of g and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14427, -14440, -14469, -14520, -14599, -14712?\n\"Answer: -g**3 - 2*g**2 - 14424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4 + 3*r**3 + 9*r**2 + r - 3.\nAnswer: -(r - 3)*(r + 1)**2*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (387 - 1441 - 2673 + (-4 + 2 + 1)*(1 + 3 - 2))*(-4*o + 4*o - o**3) + 3*o**3 - 4*o**3 - o**3 to t + x*o**3 + p*o**2 + v*o and give x.\nAnswer: 3727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i. Let h(p) = 16*p - 4855. Determine y(h(n)).\nAnswer: 96*n - 29130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74453881 and 2347?\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 - 296*m**3 + 4*m**2 + 302*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01470213 rounded to four dps?\nAnswer: -0.0147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (572\/110)\/(-13) + (0 - (-24)\/10). Calculate the greatest common factor of 757 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6206 and 928?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3.1. Suppose 0 = 10*f + 6*f - 128. Let d be f\/(-12)*2\/4. Sort u, d, 0.08 in descending order.\nAnswer: u, 0.08, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11 and 3454?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4729648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -13*i**7\/70 - i**6\/120 - 7*i**4\/8 + 11*i**3\/6 + 19*i**2. Find the second derivative of j(f) wrt f.\nAnswer: -468*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/2082 and -49\/10.\nAnswer: 10410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1560?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 863, 924, 989, 1058, 1131, 1208?\n\"Answer: 2*w**2 + 55*w + 806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -1001792 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*y - 6*y + 16*y in the form m*y + t and give m.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 34*-22009\nAnswer: -748306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 216*h - 7212. What is x(33)?\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4101278nm to kilometers.\nAnswer: 0.0000000000004101278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/4 and 103\/108756.\nAnswer: 108756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-975)\/(-195))\/(30\/(-258)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 1364016.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2403606, 9614404, 21632406, 38457618, 60090046?\n\"Answer: t**3 + 2403596*t**2 + 3*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5300)\/371)\/((-515)\/(-1442)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883091?\nAnswer: 11, 43, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 1655107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 728117.1 weeks to microseconds.\nAnswer: 440365222080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 3*p - 3*p + 2 - 2*p - 2 + (-2 - 2 + 2)*(-4*p + 6 - 6).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, y: 9, h: 5, d: 1, c: 2}. What is prob of picking 2 h?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = -2*j - 2*u + 1425, -3*j = 2*u - 1910. Let o be (-2)\/(-4)*(-20 + j). Suppose o = 5*r + f, 0 = -r - r + 2*f + 126. List the prime factors of r.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*f**3 + 18*f**3 + 89*f**3 + f**2 - f**2 - 3*f**3 + (3*f**2 - 2*f**2 + 0*f**2)*(-f - 2 + 2).\nAnswer: 85*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 + 282 - 592 + 310.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.97 + 0.03. Sort -2\/9, -2, i in descending order.\nAnswer: i, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:07 AM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 11) to base 13\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1\/75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*i**4 - 66*i**3 + 111*i**2 - 30*i.\nAnswer: 3*i*(i - 5)*(i - 2)*(3*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 2*d - 2*d)*(4 + 0 - 5 + 1 + 2 + 49 + (0 + 1 + 2)*(-1 + 0 - 1)) - d + 3*d + d.\nAnswer: -222*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2*45\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 87.07297 weeks in nanoseconds?\nAnswer: 52661732256000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003331445 to six dps.\nAnswer: 0.003331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 41*h**2 + 72*h + 1234. Determine u(-42).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 3, -1\/6, 5, 1.7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121638 is divided by 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -234, 1\/2, 0, -0.02, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253192 (base 11) to base 14.\nAnswer: -a5854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -0.02, 11, -2\/5, 5\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-640)\/(-560))\/((-6)\/(-105))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s**2 + 0 + 0)*(7*s - 21*s - 70*s) to the form a*s**3 + g + p*s**2 + r*s and give a.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 278200 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31606*c**2 - 3*c*d - 63568*d + 1 wrt c?\nAnswer: 63212*c - 3*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t - 100*t = 93*t - 5565 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 450 and 550.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**6\/360 + v**5\/24 + 5*v**4\/24 - 3*v**3\/2 + 4*v. Let p(j) be the second derivative of g(j). What is p(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 a factor of 61419479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0239 and -0.5.\nAnswer: -0.4761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zcwzkkkcwkwzkkw. What is prob of sequence kzw?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from clcpklppllkpmpfllp. Give prob of picking 1 c, 1 l, and 1 m.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000249 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(847) + -4 + sqrt(847).\nAnswer: -8 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 764719.\nAnswer: 764719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7563 - 1?\nAnswer: -7564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3\/7 + 187*k**2\/7 + 377*k\/7 + 27 = 0. Calculate k.\nAnswer: -1, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0.8. Suppose -2*p + 15 = -3*p. Let v be ((-18)\/p)\/((-2)\/(-5)). Which is the second smallest value? (a) f (b) -5\/4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**3 - 4*j**2 + 43*j + 4. Let i(t) = -t**3 + t**2 + 3*t - 1. What is -4*i(w) - r(w)?\nAnswer: -3*w**3 - 55*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16093423*f*p**6 - f*p**2 - 20*f*p + 18422 wrt p?\nAnswer: -1931210760*f*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1660)\/(-275) + (1 + -2)*6. Which is the biggest value? (a) -2\/5 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - 2*i + i)*(4 - 6 + 6)*(2 - 1 - 2*i - 2*i)*(6 - 8 - 7) to the form p*i + o*i**2 + v and give p.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**2 + 0*z**2 + 2*z**2 + ((-1 + 2 + 2)*(2*z + 5*z - 5*z) + 10*z - 5*z + 6*z)*(-2*z - 2 + 2).\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 43 = 50. Suppose -z + 3 + 11 = -x, 3*x - 22 = -z. What is the remainder when k is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2 = 3*h - 7*w, -36 = -2*w - 32 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3061867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -31. What is the remainder when 141 is divided by (-24)\/((-14)\/4 + i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320444217 to the power of 1\/2, to the nearest integer?\nAnswer: 17901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7*f**2 + 4*f + 13. Let p be m(-5). Suppose 8*l - p = 4*l. Calculate the common denominator of -87\/40 and ((-114)\/(-54))\/((-8)\/l).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -3\/25, 42, -0.04 in descending order.\nAnswer: 42, 0.6, -0.04, -3\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210121200101 + 101111?\nAnswer: 210122001212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 10 (b) -1 (c) 0.12 (d) 1 (e) -1.4 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128247725.\nAnswer: 5, 47, 109147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120041.\nAnswer: 120041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 + 73*i - 14. What is the lowest common multiple of o(20) and 24?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001906233118 to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.32 - -2.26. Let l = -0.05 - 0.01. Let n = l - w. What is the second biggest value in 1\/4, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270219 is divided by 781.\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 303220638*v**2 + 96171701*v - 1 wrt v?\nAnswer: 606441276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0765 - -220.0765. Let p = a - 215.83. Round p to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 26216\/1920 - 1\/(-2)*192\/144.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/2 - (20 - 17). What is the second biggest value in 5, -0.4, n, -25?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2860 - 4*j**3 - 5717 + 10*j**3 + 2854 - 52*j**3.\nAnswer: -46*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4137\/1773)\/((-2)\/(24\/(-2)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -62224\nAnswer: 3\/62224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -11*k**6\/20 - k**5\/60 - 31*k**3\/3 - k**2 + 82. Differentiate g(y) wrt y.\nAnswer: -198*y**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/4836 and 53\/16120.\nAnswer: 48360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 20*t**2. Let u(r) = 13*r. Determine u(q(k)).\nAnswer: 260*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 11*s. Calculate the smallest common multiple of 9 and q(1).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 7. Let v(l) = l**2 - l - 2. Let r be v(-2). Suppose 0 = z - 3, 5*y - 7 - 21 = 4*z. Solve -h + r*j - y = -5*h, 2*j = -k*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/14 + 520\/(-273).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 2:48 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -27 in decreasing order.\nAnswer: 1, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*s - 5 = 0, 5*s = -3*c - 25 - 15. Let w = -4 - -8. Suppose -w*i + 21 = 1. Sort i, c, -4.\nAnswer: c, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -121 - -45 - -40 - -79.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 12) to base 8\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 6. Suppose h - 8 = -2. Let p(l) = -h*l**2 - 3 + l**3 - l + 7*l - l. Determine p(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*a**3*y**3 - 166*a**3*y + 2*a**2*y**3 + 90510*a*y**3 + 2*y**3 wrt a?\nAnswer: -42*y**3 - 996*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -659 minus -0.4?\nAnswer: -658.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15282 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o - 11 + 3 = 0. Which is the third smallest value? (a) 1 (b) 3\/2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/13 and 103\/78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*x + x + 1 = 0, -g - 4*x - 4 = 0. Suppose 3*k + 0 - 9 = g. Suppose -7 = -4*z + k*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 6*u + 7. Let s(f) = f**3 + 14*f**2 + 10*f - 41. Let v be s(-13). Let m be r(v). Which is the nearest to -9? (a) m (b) -0.4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(1088) - sqrt(1088)) - 5*((sqrt(34)\/sqrt(2) - sqrt(17))*-6 + sqrt(17)).\nAnswer: -53*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 7*d + 2*u - 9, 3*d - 11 = -2*u. Let q(i) = 4 - 5 + 4 - 2 + 3*i. Calculate q(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -22 (b) 0.0687 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 6*f = 38, 20*f + 4 = -2*q + 18*f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 265\/36 - 91\/12. Put j, -194, 5 in ascending order.\nAnswer: -194, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*i - 0*i - 18, 5*i + 3*f - 20 = 0. Let h(v) = v**3 - 6*v**2 - 6*v - 6. Let u be h(7). Is u bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120157.\nAnswer: 120157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-10)*(-36)\/(15120\/(-175))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*z**2 + 70*z**2 + 68*z**2 - 207*z**2.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13\/9 - 83\/45. Let v = 59 - 61. What is the nearest to 2\/9 in -3, v, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1407*o**3 - 1410*o**3 - 10*o + 10*o.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.99 - 6. Let m(g) = -g**3 + 238*g**2 + 248*g - 2149. Let p be m(239). What is the closest to 1\/3 in 2\/5, -5, p, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51998 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -25 (b) -0.6 (c) 149 (d) 4 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 17690.3449712\nAnswer: -17689.8449712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 866763645 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/98*((-15)\/(-8) + -1)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 3 + 9. Let u = -4 - f. Factor u*v**4 + v**4 - v**3 + 2*v**3.\nAnswer: v**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**2\/2 + 89*o + 1. Is j(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 267031.258 to the nearest 10000.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -6) + 6 + -12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/77 and 117\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 816262, 1632521, 2448782, 3265045, 4081310, 4897577, 5713846?\nAnswer: 6530117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**3 + f - 1. Let c be p(1). Let t(q) be the second derivative of -q**5\/20 + q**2\/2 + q. Let r(u) = -u**3 + 3. Determine c*t(i) - r(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 + 2*n**2 + 5*n - 1. Let r(d) be the third derivative of d**3\/6 - 151*d**2 - 9*d. Give f(a) + 2*r(a).\nAnswer: 2*a**3 + 2*a**2 + 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u**2 + 6*u + 7. Let h(s) be the first derivative of -s**3\/3 - s**2 - 2*s - 128. Determine -8*h(z) - 3*x(z).\nAnswer: -z**2 - 2*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36360.\nAnswer: 2, 3, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 8 = -g. Suppose -t + d = -3*d - 3, -2*t + 6 = -g*d. Let a(k) = k - 1. Let b be a(1). Is t >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m + 7. Let p be x(2). Suppose -3 = 8*r - p*r. Is 3\/151 bigger than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2. Let g(j) = -6*j. Give t(g(a)).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-4))\/((-2)\/4). Suppose j - k = -1. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*a**3*q**4 + 3*a**3*q + 2*a**2*q - 2*a*q**5 + q wrt q?\nAnswer: -300*a**3*q**2 - 40*a*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 15078825 to the nearest 1000000.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102*q = -105*q + 576. Let b = q - 16. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 4) + (-34 - -38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2. Let m(h) be the second derivative of -h**4\/6 - 10*h. What is m(s(w))?\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -58171a + -253?\nAnswer: -581972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4427 - -1650?\nAnswer: -2557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*n = -19, -723*n = k - 726*n + 31. Suppose 2*f = -22 + 56. Sort -2, f, 1, k in descending order.\nAnswer: f, 1, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34 and ((-108)\/(-21))\/((-6)\/(-21)).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*j - 33545 = 0, 0 = 2*z + 2*j - 8642 - 13718. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -722 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g - 11. Let u be c(-8). Let z be (-2 - u)*(-4)\/12. Solve 2*v + z*n - 32 = 1, -v + 29 = 5*n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 6) to base 2.\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 12144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19.669 + 10300.331. Let b = g + -10324.0009. Let s = -4 - b. What is s rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 142, 176?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 514564 and 16325?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + y. Let n = 16 + -20. Let m = 19391 + -19390. Let v(w) = 7*w**2 + 5*w + 3. What is m*v(l) + n*r(l)?\nAnswer: 3*l**2 + l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -441, -0.3, -2\/9, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10931 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 87*x**2 + 6426*x.\nAnswer: -3*x*(x - 63)*(x + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 515 or 2385\/4?\nAnswer: 2385\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - l**2 - 1. Let o(y) = 5*y**3 + 3*y**2 + y + 3. Let k(t) = -4*n(t) - o(t). Let w be k(1). Solve w = 2*x - 6*x - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 21*w**2 + 26*w - 16. Let l(i) = i - 10. Let y(o) = b(o) - 2*l(o). Give y(-22).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 less than 0.34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 16, -4 in descending order.\nAnswer: 16, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*r = 3*l - 1, -2*r = 4*l - 6. Let u be 5\/(3 + -2 - 0). Suppose 4*j - 21 = -u. Solve j*y - l = -4*m + 3, 3*m = -y + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.7 + -33. Which is the smallest value? (a) -0.07 (b) i (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)\/(c\/((((c**(-4)*c)\/c)\/c)\/c)))\/(c**1)**(1\/4)*((c\/(c*c*c**0*c*c))**(-44))**49 assuming c is positive.\nAnswer: c**(25839\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17623526.4 milliseconds in days?\nAnswer: 0.203976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 11577 = -2191. What is the highest common divisor of 52 and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**(-12)*p*p*(p\/(p\/p**(-1\/10)))\/p assuming p is positive.\nAnswer: p**(139\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 129. Let d = -79.639 - t. Let g = d - 0.36099739. What is g rounded to 7 dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7\/36, -11, -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 8*l - 75 - 2*l**2 + 8*l.\nAnswer: -2*l**2 - 90","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 117.6085 to 1 decimal place.\nAnswer: 117.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 - (-24 + 32 + -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14472 - 4884. What are the prime factors of u?\nAnswer: 2, 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 25 = -5*b, 5*u = 2*u + 2*b + 10. Suppose -11*x + 14*x - 219 = u. What are the prime factors of x?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 19*y - 4)*(4 - 4 - y**2).\nAnswer: -19*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**2 - 1\/2*v**3 + 0 - 1\/12*v**4 - 3*v. Suppose 4*l + 26 = 2*h, -4*l - 21 = -3*h + 2*h. Give y(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from ocwowoa?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 42*u**3 - u**2 + 4*u - 1. Let y be s(2). What is the highest common factor of y and 452?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 + 7.42. Let p = 0.5 + w. Let y = 6 - p. Is 0.3 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 0 + 10*s - 11\/2*s**2 + 13\/6*s**3. What is the units digit of l(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Suppose z = -u*z + 18. Let n(c) = c**3 - 5*c**2 - 7*c + 9. Let t be n(z). Solve -21 = 5*o - 1, 17 = -i - t*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7532 + 7531.99999966188. Round t to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 19.77. Let y = l - 0.53. What is the smallest value in -2\/7, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 - -3.5. Let s = -9.9 - -10. Is s less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opoppppopopppppppp. Give prob of picking 2 p and 1 o.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4293? (a) -1\/4 (b) -1\/10 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/b**(1\/6))*b)**49\/(b**(-17)\/b**23))**(2\/67) assuming b is positive.\nAnswer: b**(289\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10047943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(17)*-1 + 0 - sqrt(17)*2*6 - sqrt(34)\/sqrt(800)))**2.\nAnswer: 1158057\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*g**4 + 193*g + 0*g**4 - 112*g + g**2 - 3*g**2 - 65*g + 11*g**3 to t*g**4 + o*g**3 + a + n*g + c*g**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 7, l: 3, a: 3, q: 4, y: 2}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 - 0.03. Which is the nearest to -4\/7? (a) f (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - -124. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-130397)\/(-2850) - 46) + 8\/30?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133 + -132.909. Let t = s + -0.141. Sort -2, 0, t in descending order.\nAnswer: 0, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -49272952.\nAnswer: -14781885.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(1\/((-80)\/25)))\/(222\/(-2775))\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3216275 (base 10) to base 12\nAnswer: 10b132b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96493 - 64648. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**4\/5 + 314*q**3\/5 + 13072*q**2\/5 + 11552*q = 0. Calculate q.\nAnswer: -76, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(-1 + 7 + 2 + (2 + 0 + 0)*(-1 - 4 + 4) + 1 + 4 - 4 - 3 + 4 + 0)*(7*o + 2*o + 158*o).\nAnswer: -2672*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 125000 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 625087.9 nanograms to tonnes.\nAnswer: 0.0000000006250879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -31) + (773 - 809)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*m**3 - 16 + 26*m - 25*m + 178*m**2 + 182*m**2 - 537*m**2 + 179*m**2 as f + i*m**2 + l*m**3 + a*m and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186, 373, 558, 741, 922?\nAnswer: 1101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32712354 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + (-29 + -2 - -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*h + 733*h - 947*h + 96*h.\nAnswer: -16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -6*p**3 - p**2 - p - 1. Let n(f) = -f - 4. Suppose 9 = -2*y - y. Let m be n(y). Let o be g(m). Solve o*x = x - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-8)\/(-6) - 1)\/((-68)\/278052)*-9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(70) - 3*2*sqrt(70))*4)\/((sqrt(640) + (1*sqrt(640) - sqrt(640) - sqrt(640)) + sqrt(640))*6) + 3.\nAnswer: -5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -1\/10, 6\/7 in descending order.\nAnswer: 6\/7, -1\/10, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.45842 rounded to 1 dp?\nAnswer: 41.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 169630448 to the power of 1\/2, to the nearest integer?\nAnswer: 13024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4279581 times -20.8?\nAnswer: 8.90152848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 187 = 2*p - 152, -2*p - 10 = -0*p for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-9 - -5 - -11 - 3 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 5*z = -96, 13*l + 2*z - 12258205 + 12258297 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.6 (b) 0.3 (c) -1688648\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 115 divided by 5\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - ((-92142)\/(-4) - -3). Let w = 22381 + s. Let a = -636 - w. What is the common denominator of 41\/5 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14088\/2123 < -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 2 + 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204579 = 90*a + 6673*a + 255305 for a.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -1039*x + 397. What is m(2)?\nAnswer: -1681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2)*-8*4\/(-8))\/((-43706)\/(-3362))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4 + 48*i**3 + 219*i**2 - 578*i + 312 = 0.\nAnswer: -6, 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 + 13 + -1 + -30?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5 = -u, -3*u = 2*g - 10 - 20. Suppose m = -v + 77, -2*m = -2*v + 136 - 2. Calculate the greatest common divisor of v and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-28)\/(-12) + (-3)\/9. Suppose -2*j - 2*j = -3*r - 2366, v*r = -2*j + 1172. Suppose -905 - j = -5*k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 - (14 - 9 - -10) - -5\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 82?\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 63*w**2 - 3*w - 5. Suppose -5*p - 8 = -2*p + 4*n, 5*p + 3*n = -6. Suppose 4*q + 4 = 0, -t + p*q = -q + 1. Is x(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1980, -1987, -1994, -2001, -2008?\n\"Answer: -7*u - 1973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.707829 milliseconds in weeks?\nAnswer: 0.0000002739878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 2566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 8*v + 11. List the prime factors of k(11).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 16 = 0, 4*w - 15 - 9 = 3*z. Factor n**w + 3*n**2 + 3*n**3 - 4 - 8 - 12*n - n**3.\nAnswer: 3*(n - 2)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320268 + 20034 = 4549*z for z.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2906*h + 5*h**3 - 765*h - 4*h**3 - 3*h**3 in the form l + v*h + a*h**3 + u*h**2 and give v.\nAnswer: 2141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-38)\/(-9) + 12\/(-54). Suppose 4*x = -0*x + k. Let i be (-3)\/2 - x*-1. Which is smaller: i or 0.03?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -3)*((-3)\/1 - -19). Suppose u*h - 36*h + 56 = 0. Let q(p) = 8*p**2 + 9*p**2 - h*p**2. Let w(l) = -10*l. Calculate q(w(x)).\nAnswer: 300*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*f - 167697 = 27*f. List the prime factors of f.\nAnswer: 6211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410249383 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 8*l**3 - 6*l**2 - 26*l - 17. Let w(g) = 7*g**3 - 6*g**2 - 25*g - 16. Let b(c) = -5*w(c) + 4*x(c). Factor b(m).\nAnswer: -3*(m - 4)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 6*d = 70. Let p(y) = y**2 - 15*y + 14. Let a be p(d). Let g(h) = h**3 + 5*h**2 - h - 5. Let f be g(-5). Are a and f equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 5*u**2 + 5*u + 11. What is d(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22 or 0.04784?\nAnswer: 0.04784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12420102\/79 or -157217?\nAnswer: -157217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1015 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + -1*1*sqrt(637) - 2*sqrt(1300)*1) + -3 + 5)**2.\nAnswer: -80*sqrt(13) + 5204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhf when three letters picked without replacement from hhfff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 900.6011575 to the nearest integer.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + c - 4826 = 0, 4*i + 2348 = -4*c - 4108. Find the common denominator of i\/84 + (1 - -2) and -30\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -71731 + 12?\nAnswer: -7171f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/((-87)\/116)*31\/2.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/90*-8)\/((-188)\/(-846))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -0.014, 0 in increasing order.\nAnswer: -0.014, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 4*g - 18. Calculate the remainder when w(-8) is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(350)*-1)\/(sqrt(90)\/(sqrt(9)*1)))\/(-6*((sqrt(252) - (sqrt(252) + (sqrt(252) - -2*sqrt(252))) - sqrt(252))*2 + sqrt(252) + sqrt(252))).\nAnswer: sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 14 - 5 = 3*z, z - 3 = -2*s. Let j be (4 - 0)*5\/10. Solve o = -s*o + j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 285?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1119699575?\nAnswer: 5, 43, 131, 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1564 + 1573. Solve -8 = y*m - 17 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 21334*d - 3. Let y(f) = 9*f. Determine k(y(c)).\nAnswer: 192006*c - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v*v*v*v*(v*v\/v**0*v)\/v*v)**(3\/13)*v**(-5)*v*v**(-4\/5)*v*(v*v**(1\/5)\/v*v*v*v**4\/v)**(-28) assuming v is positive.\nAnswer: v**(-9576\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 73518657199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1668863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*p = -0*p - 15989, 0 = l - 2*p + 5343. Let w = 32071\/6 + l. What is the common denominator of w and 892\/192 + (-2)\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 624482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 127340363 and 58.\nAnswer: 254680726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.220436592 to 5 decimal places.\nAnswer: 0.22044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -168 + 729. List the prime factors of y.\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (4 - (-1 - -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2134532.\nAnswer: 2, 533633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -35, 1\/13, 0?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -113101313330 (base 4) to base 3\nAnswer: -102111001002102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70827361 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -30*h - 1 + 21*h + 10*h. Let c = 7 + -2. Suppose -2*m - 3*u - 2 = -c, 0 = 5*m - 4*u - 19. Determine a(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**6\/2 + i**3\/3 - 11. Find the third derivative of o(y) wrt y.\nAnswer: -180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3043*o**3 - 6245*o**3 + 3203*o**3 - 4*o**2 + 4*o**2.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 26. Let u(z) = 11*z**2 - 10*z + 5*z + 4 - 3*z + 14 - z**3 - 30. Let f be u(j). Which is bigger: 0.5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + 2*sqrt(117)*-2 + sqrt(117))\/sqrt(9)*3)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + sqrt(468) + -4.\nAnswer: -1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o + 26*o + 17*o**2 - 70 + 13*o**2 + o - 22*o**2.\nAnswer: 2*(o + 5)*(4*o - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -33 + 0 + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/325776 and -41\/924?\nAnswer: 2280432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 12 = 2*b, -12*g - 9 = -4*b - 10*g - 3*g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -161019\/6145 - -4\/1229. Let j be (-1 - (-46)\/(-6))*3. Let o = j - c. Which is greater: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*j = 6*j - 578, 0 = 2*z + 3*j + 578. Let k = 744 - z. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, b: 1, v: 2, p: 6, w: 3}. What is prob of picking 2 p and 1 v?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaooaoaa. What is prob of picking 1 a and 1 o?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, y: 2, q: 8, b: 4, l: 4}. Give prob of sequence bblb.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*40374\nAnswer: -3229.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 2*i - 201 + 199, 2 = -y - i for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/22*3630\/16940*(-2)\/3?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2026*w**4 + 3100*w**4 - 2216*w**4)*(2*w + 0*w - w + (-3 + 3 + 2)*(0*w + w - 2*w)).\nAnswer: 1142*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 18*t + 118. Let m(p) = 1. Let r(j) = 5*m(j) - x(j). What is the derivative of r(f) wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -3\/2*f**2 - f**5 + 0*f + 3 + 0*f**3 + 0*f**4. Find the second derivative of u(x) wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1071 is divided by 109.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 34 = 3*n - 0*h, -2*h - 53 = -5*n. Let c(b) = 8*b - 3. Let j be c(n). Suppose -l = -2*d - j, -3*l - 6*d + 211 = -d. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*g + 304*g - 15*g to d*g + a and give d.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -7, -15, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 28 + 2 = -16*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 137190576 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 320 minutes before 12:57 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20*g**3*y - g**3 - g*y**2 - 1548*g wrt y?\nAnswer: -20*g**3 - 2*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**3 + 29*x**2 - 32*x + 106. Give s(7).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - (-5 + 17 + (3 - 16))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v**3 + 4*v**2 + 8*v + 5. Let j(b) = 15*b**3 - 9*b**2 - 15*b - 9. Let h(d) = 5*j(d) + 9*t(d). Factor h(w).\nAnswer: -3*w*(w + 1)*(2*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/15))\/(x**(-1\/14)\/x) assuming x is positive.\nAnswer: x**(463\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7\/1665 - 80447\/6660. Calculate the common denominator of 43\/33 and x.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from nznnffdfndxnfx.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 - 5*h**2 + 3*h**3 - h**3)*(h + 4*h - h).\nAnswer: 8*h**4 - 24*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 1:39 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 471816 and 20232.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8*u - 9*u + 15*u. Let h(k) = -5*k**2. Calculate h(c(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 16*u - 5. What is the remainder when 69 is divided by y(17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -286, -1194, -2766, -5050, -8094, -11946, -16654, -22266?\nAnswer: -28830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 2*m**2 + m + 1. Let w be g(-2). What is the tens digit of -2 + (23 - (w - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 2. Let g be j(-2). Let o(b) = 3 + g + 10 - b. Give o(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109322 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/2)\/(((f\/(f**12\/f))\/f)\/f))\/(f**4*f\/(f*f**(3\/13)\/f)) assuming f is positive.\nAnswer: f**(227\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**4 + n**3 - n**2. Let q(o) = -4*o**4 + 6*o**3 - 6*o**2 - 19. Let z(g) = -6*k(g) + q(g). Differentiate z(j) wrt j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4 + 1304*c**3 - 17472*c**2.\nAnswer: -4*c**2*(c - 312)*(c - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 - a. Let w(m) = 3*m**2 + 9*m + 3. Let q(o) = w(o) + 4*z(o). Let g be q(4). Let p(v) = -v**2 + 8*v + 8. Is p(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 2*j - 3*z + 3, 7 = 3*j + 4*z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35144984 and 3248?\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 202\/17 - 30\/(-255)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (0 + 3) - (9 - -730). Let h = o + 1098. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 365 in ascending order.\nAnswer: -5, -1, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -16*j**2 + 245789. Let f(h) = -h. Give f(o(g)).\nAnswer: 16*g**2 - 245789","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**2\/2 + 8*p + 23. Let x = -2 + 8. Let w be h(x). Solve 3*u + 25 = 5*r, r + w*r - 2*u = 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (40\/(-16))\/((-2)\/(-4)*1). Let g(o) = -2*o**2 - 14*o - 11. Let w be g(l). What is the units digit of ((-186)\/w - 7)\/(2\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = o - 7, 3*t + 2 + 16 = 5*o. Suppose 3*z + r = 4*r + 798, o*r = -z + 246. Does 25 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 - -10. What is the fourth smallest value in i, 4, -3\/17, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 91*r**2 + 5*r + 5. Is a(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -530662 * -4.\nAnswer: 2122648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1348)\/(-12)*3 + 5. Suppose 4*d + d = -4*n - p, 4*d = -5*n - 270. Let m = 110 + d. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 16 = v + 2*l, 0 = l. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) 1 (c) 27381 (d) -2\/9 (e) 2\/27 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2009 + 2128 - 2*j + 7*j)*(0*j**2 - 4*j**2 + 3*j**2).\nAnswer: -5*j**3 - 119*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.347 - 5?\nAnswer: -5.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2032165344*4\nAnswer: -8128661376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-405))\/((-2)\/(-3)))\/((-18)\/(-54))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 0 + 1 - -5. Let y be (-4 + 43)*(-4)\/6. Let v be (-26)\/y - (0\/1 - -1). Solve v*o = -x*o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Let j(m) = m**2 + z*m + 0*m. Let x(o) = 4*o - 13. Let v(q) = q - 3. Let p(h) = -26*v(h) + 6*x(h). Determine p(j(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w = -2*t - 4, -4*t - 8 = 5*w. Let y(g) = w*g + 4*g + g - 3*g - 24 + g**2. Let j be y(4). Solve j = -3*x + 5*x - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 2500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 414*x + 1362 = 10884. Calculate the remainder when 1\/4 + (-451)\/(-4) is divided by x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5609300 (base 10) in base 8?\nAnswer: 25313524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 206883 > 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7)\/(z*z\/(((z\/z**(1\/5)*z)\/z)\/z))*((z**(-2\/3)\/z)\/z*z*z)\/z**1 assuming z is positive.\nAnswer: z**(-163\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from warewpp. Give prob of sequence erpw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 1452?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4899 * 61.\nAnswer: 298839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a + 8. Let d(j) = -126236*j**2 + 63108*j**2 + 63112*j**2. What is t(d(q))?\nAnswer: -16*q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -33313.2459 to the nearest 1000.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606*r**3 - 344*r**3 - 1754*r**3.\nAnswer: -1492*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-15)*-2*9\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44454 by 767.\nAnswer: -44454\/767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42 - 10633?\nAnswer: -10675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7.8 (b) 0.49 (c) -7.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-16) - 9) + 1\/4. Let d(s) = 60*s**2 - 40*s - 19. Is d(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 9:32 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4 - 10809*g - g**2 - 10814*g + 21618*g. Determine d(-9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 17*l**2 + 16*l + 2. Let k be q(-16). Find the common denominator of 166\/(-8) - k*-1 and -28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13650 = -13*d - 8*d. Let z = -649 - d. Is z at most as big as 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*c = -0*c + 24, r - c = -3. Let w = r + 5. Let j(o) = -o - 4. Let v be j(w). Let l(u) = u**3 + 3*u**2 - 6*u - 3. Give l(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -95 + 29 + 30 + 35 + c. Let l(q) = -6*q + 6. Calculate -2*l(y) - 11*n(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 0 - (2 + 4 + -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 3 - 5*x**2 - 9 - 2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135785556.\nAnswer: 2, 3, 3771821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*k**2)*(-79 - 44 - 164).\nAnswer: 574*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 7\/4745490?\nAnswer: 7\/4745490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 11 - 3 = -2, -5*p = 34*k - 48 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxm when three letters picked without replacement from mbxlaalllm.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u + 5 + 1422*u**3 - 5141*u**3 - 5.\nAnswer: -3719*u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 380*c + 2112*c - 79744 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 61*n - 1156. Calculate j(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82*g*k**3 - 2*g*k**2 - 310*k**3 + 56975*k**2 wrt k?\nAnswer: 492*g - 1860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-14)\/36 - 41\/(-369). Let h = -0.27 - -4.27. Which is the closest to -1? (a) h (b) s (c) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -28 (b) -3\/4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*k**2 + 3*k**2 - 3*k**2)*(-3*k + 4*k + 0*k) - 4*k + 4*k + 2*k**3)*(-7 - 7 - 3) + 4*k**3 - 2*k**3 + 0*k**3 to n + l*k + d*k**3 + o*k**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 120\/19 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 109 - -982.\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -989, -713, -441, -173, 91, 351?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 29944?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/4)\/(u\/((u\/(u*u\/u**(-2)*u))\/u))*u**(-2\/3)*(u*u*(u**(-1\/9)\/u)\/u*u)\/u)\/((u\/(u\/u**0))**(-1)*u**(-6)*u\/(u*u**(-4\/5))) assuming u is positive.\nAnswer: u**(-329\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*o = -13, 0*o = u - o - 7. Suppose -13 = -u*j + 7. Suppose -17 = 3*v - 4*r, 2*v = -2*v + j*r - 16. Solve 2*y - v + 7 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 81, 211, 3, -5, -12, 4 in increasing order.\nAnswer: -12, -5, 3, 4, 10, 81, 211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 86*m + 3236. Let s be y(-26). Calculate the greatest common divisor of s and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(7) + sqrt(7) + -1 + sqrt(7) + 4)*-2*-1.\nAnswer: -6*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 - 4*b**2 + 262*b + 264.\nAnswer: -2*(b - 11)*(b + 1)*(b + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 190347354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8208)*-2 + sqrt(8208) - sqrt(8208))*-1)\/(1*((sqrt(3) - 2*sqrt(192) - sqrt(3)) + sqrt(3))).\nAnswer: -8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*j + 8, -4*j - 52 = -2*i + 5*i. Let y = -12 - i. Solve -2*g = -y*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**4\/4 + 2534528*b**3 - 12847669434623*b**2\/2 + 12847661831040*b - 25695318593025\/4 = 0?\nAnswer: 1, 5069055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -374\/99557 + -242380031497\/91990668. Let s = h + 2635. Let g = 3\/44 - s. Which is smaller: g or 0.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/(3\/10)*22\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t. Let y(f) = 713371*f. Give p(y(d)).\nAnswer: 713371*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p*p**(2\/11)))\/p)\/(p\/(p\/((p**(2\/3)*p)\/p))))\/(p**(-1\/15)*p*p**(-5)) assuming p is positive.\nAnswer: p**(122\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 8696*f + 254 = 8722*f, 0 = 2*d + 5*f - 35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 17.18.\nAnswer: -6.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*u + 708. Let h = u - 116. Let p be 3\/(54\/(-14)) - (-52)\/h. Let d(b) = -16*b**2 - 1. Calculate d(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6 = 2*f, -m + 15 = 5*f - 2*m. Factor -11*i**3 - 120*i**2 - 32 - 112*i - 16*i**3 - 2*i**3 - 7*i**f.\nAnswer: -4*(i + 2)*(3*i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*s**2 - 5*s**2 + s**2)*(-598 + 598 + 12*s)*(-s - s + 0*s).\nAnswer: -168*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + -15 - 0\/2. Let y be 1\/((7\/(-6))\/7). Let u be (-1)\/(-3) - f\/y. Let n(c) = 2*c**3 - 4*c**2 - 5*c. Let l(g) = g**3 - g**2 - g. Give u*n(m) + 4*l(m).\nAnswer: 2*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 29.47\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f - 18 = 0. Suppose -4*v - 3*i = 85 - 319, 5*v - 3*i - 333 = 0. What is the greatest common divisor of v and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 574112 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-2) - 3)*-4. Find the second derivative of 20*b**g + 0*b**3 + 0*b**3 + 3*b - 17*b**4 wrt b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5 - 5. Suppose -c*t - 43 = -18. What is the nearest to -3 in 2\/9, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/(-210))\/(2\/20)*(-1078)\/1155?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 0 (b) -1.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 24. Let x(n) = -n**3 + 8*n**2 + 17*n + 54. Let c be x(22). Let j be (3\/(-2) + 1)*c\/(-138). Is j greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*s - 9269 = 216*s - 200*s for s.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 15300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*j - 20, j - 3 = -3*r + 7. Suppose -2*o + 64 = 5*b, 2*o = -r*b - o + 66. Suppose -x + b = 2*x. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*m + 272*m - 607*m - 13*m.\nAnswer: -751*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1392 + 1596. Calculate the remainder when y is divided by 46.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9548)\/(-56) - (-2)\/(-4). Let y = l - 99. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84\/(-45) - (0 + -2)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1960 + 1959.5. Which is the closest to -2? (a) -1\/4 (b) g (c) -5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**5\/15 + 77*p**4\/3 - 11858*p**3\/3 - 23*p**2. Solve c(g) = 0 for g.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4169 in 0.14, 4, 4\/7, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -658*l - 432. Let f(a) = 326*a + 215. Let c(u) = 9*f(u) + 4*w(u). Find the first derivative of c(t) wrt t.\nAnswer: 302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from evttttevd?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000590765703 to 6 decimal places.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 1. Solve -2*o = 3*b + f, -2*b - 5*o = -12 + 36 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 4*i + 1. Let w(v) = -3*v**2 + 6*v + 1. Let y(d) = 5*w(d) - 8*x(d). What is o in y(o) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 6:56 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -475, 1\/3, 0.08, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3525*h - 376. Let q(j) = -13*j - 34*j - 193 + 65 + 58 + 65. Calculate -376*q(i) + 5*y(i).\nAnswer: 47*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 99\/(-15))*(-100)\/8 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 679.99990856 + -680. Round k to 6 decimal places.\nAnswer: -0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-3*sqrt(4598))\/sqrt(2) + -2 + 6*(sqrt(19) + (sqrt(19) + sqrt(19) + 0)*-2))**2.\nAnswer: 306*sqrt(19) + 49428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-14) - (-4)\/28. Let r(q) = 6*q + 1. Give r(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -5442?\nAnswer: 5442.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12095252.\nAnswer: 2, 13, 163, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 187303\/20 - 9367. Find the common denominator of 49\/10 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 23*o + 72*o - 25 + 37*o.\nAnswer: 132*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40447?\nAnswer: 11, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9\/4 - 55\/28. Let t = -1 + 1.2. Which is the nearest to j? (a) 5 (b) 1\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 541475*y**3 - 1082945*y**3 + 541474*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -122*f - 4 + 29*f + 153*f**2 + 12*f**4 + 985990*f**3 - 986077*f**3 + 19.\nAnswer: 3*(f - 5)*(f - 1)**2*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14752616 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*c = -5*c - 235 - 320 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67036?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.78 (b) 0.4 (c) 1\/3 (d) -5 (e) -2 (f) 15\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -y**4\/12 - 5*y**3 - 209*y**2\/2 + 925*y. Suppose b(c) = 0. Calculate c.\nAnswer: -19, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, l: 2, p: 1, v: 1, y: 2, q: 1}. What is prob of sequence qvlp?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 41 = 5*q, 3*y + 30 = q + 2*q. Let g(h) = -h**3 - 10*h**2 - 13*h + 35. Let a be g(-7). Let r = y - a. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -2*v + 0*v**6 + 0*v**5 - 1\/12*v**4 - 3\/28*v**8 + 13*v**2 + 0*v**3 + 0 + 0*v**7. Find the second derivative of f(q) wrt q.\nAnswer: -720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22230 divided by -38\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1540019\/1615 + -9\/323. Let s = r + 957. What is the common denominator of s and 2\/(-2) + 130\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 110 = 1626*a - 1624*a, 3*f - 66 = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/21*3\/(-6)*-1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-28)*441\/9450.\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17780, -17800, -17886, -18080, -18424, -18960, -19730?\nAnswer: -20776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1024 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 7, 1, 0.\nAnswer: -1, 0, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6*z = 200. Let p be (-15)\/2*10\/z. Suppose -p*t + t = -2. What is the third smallest value in t, -4, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -624235, -624233, -624229, -624223, -624215?\nAnswer: -624205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1093.42837 + -2099644.61163. Let f = -2100614.040131 - a. Let v = f - 124. What is v rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 8:52 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-4))\/s)\/s**(-1\/4)*(s*s*(s*s**(-2\/7)\/s*s)\/s)**(28\/5) assuming s is positive.\nAnswer: s**(277\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -b5a?\nAnswer: -b58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - 127*j + 1471. Let y be d(10). Sort y, 1584, -2 in decreasing order.\nAnswer: 1584, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x**3 + 11*x**3 + 20*x - 20*x**3.\nAnswer: x**3 + 20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 35 = 39. Solve -4*h + 5*s = -15, -z*s - 18 = -2*h - 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/962 and -61\/1326.\nAnswer: 49062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 9*h + 2. Let a be 2\/(-3) - (-32)\/(-6). Let j = 27 + -20. Let n(r) = j*r - 5*r - 5*r - 1 - r. Give a*y(g) - 13*n(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 4*g - n, 2*n - 9 - 37 = -g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 8 = 6*f. Let k = 49 + f. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 5*g**2 - 2*g - 19. Let a be h(-5). Let v be a\/3 - -4 - 37. Let d be -256*375*-10*48\/v. Round d to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341887 divided by -119?\nAnswer: -2873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-230)\/69*3\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 279.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from {y: 2, p: 2, i: 4, k: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3593 + -2248. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1326 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*k - 203*k**3 - 44*k + 32*k**3 wrt k?\nAnswer: -1026*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 12:52 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, 1, 0.11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-25*(-8)\/19400.\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -102598*-2\nAnswer: 205196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 48125*l**2 - 48103*l**2 + 4*l + 96228*l**2 + 34*l**3.\nAnswer: 34*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, -0.05, 2 in decreasing order.\nAnswer: 62, 2, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22 + 1263175?\nAnswer: 1263153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**2 - 7*s + 58. Calculate r(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -460000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 176 and 1234717.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-6)*13)\/(17\/(-1326)). Suppose 2*x - u = 66. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24546 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 8. Suppose 321 = 4*t - 3*w, 3*t = -d*w - 3*w + 225. Calculate the common denominator of -83\/2 and t\/(-20) + -3 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 6*d - 30. Let i = d + -5. Solve -1 = -4*c + i*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 114 = -7*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 3*y - 156799979 = 0. Suppose -18799603 = 4*k + 4*c - 108399615, -y = -k + c. What is k rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 33200389.5.\nAnswer: 3320038.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 19 = -69*k + 66*k, -6 = -2*k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1504*l**3*t**3*y + 4*l**3*t**2*y + 4*l**3*t**2 + 3*l**2*t**2*y wrt t.\nAnswer: 9024*l**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006480744367 to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*x + 7 = 0. Suppose -x*s = -6*s - 9. Suppose 0 = s*k - 6*k - 771. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 23 + 23 = 13*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 23*m - 4. Let i be o(4). Let k be -30*1\/(-272)*-4*-200. Let a = k - i. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3473*h**2*n**3 - h**2*n - 10433*h**2 + 2*n**3 + 3213*n**2 - 25*n - 34 wrt n.\nAnswer: 20838*h**2*n + 12*n + 6426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 164011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqk when three letters picked without replacement from {v: 1, k: 7, q: 4, u: 3, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*((((v\/v**(-1\/4))\/v)\/v)\/v)\/v)**(-11)\/(v*v**(-1\/3))**(-37) assuming v is positive.\nAnswer: v**(527\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.1 - 3. Let h = -187 + 190.07. Let s = 0.07 - h. Which is the biggest value? (a) -0.1 (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.7440492 and -0.1?\nAnswer: -0.67440492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*a + 4*a = -40, -4*a - 20 = -r. Let y be (-12)\/(-153)*(-42)\/r. Let k = y + -5611\/510. What is the common denominator of k and -79\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1114999981 to 3 decimal places.\nAnswer: 0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 15*o**2 - 29*o - 27. Let u be c(3). Solve -5*m + 25 = 0, 39*n = 40*n - 5*m + u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404205522?\nAnswer: 2, 3, 7, 1553, 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -472 - -469. Let g(o) = o**2 + 26*o + 88. Calculate the remainder when 36 is divided by g(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8405? (a) 0.56 (b) 24 (c) 3 (d) 0.2 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 217688.\nAnswer: 2, 27211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmlrrtmmxmtotoom. What is prob of sequence mt?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51810*x - 13662 = -51557*x for x.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljjjjllllll. What is prob of sequence jj?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + (-152)\/(-26) - 20\/(-130). Suppose -y*s + 5*t = -25, s - 3*t = -3*s + 15. Suppose 7*p - 1613 + 276 = s. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19761931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + ((0 + sqrt(125))*6 - sqrt(125))**2 - (0 + sqrt(125) + 2)*5)*-2.\nAnswer: -250*sqrt(5) + 31180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1 + 5*q**2 + 3*q**3 + q**3 + 5*q - 3*q**3. Let u be a(-4). Let i(j) = -j**2 - 5*j - 3. Let y be i(u). Sort -4, y, 0 in decreasing order.\nAnswer: 0, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 11:49 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -17*v - 49. Let x be o(-4). What is the greatest common factor of 133 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 32664978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3 - 109*y + 54*y + 54*y. Let s be x(7). Put s, -5, -1, 1 in ascending order.\nAnswer: -5, s, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.17, 1\/2, -480?\nAnswer: -480","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 606083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1326 divided by 221\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -337\/60 + 88\/15. What is the nearest to q in -2\/79, 3\/2, -0.5?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7 - 22*x**2 + x + 21*x**2 + 1 - 2. Let d be 3\/(-6)*6 + 4. Let m be (d - (-2)\/(-4))*0. Determine f(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 32429*o + 64838. What is k(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 - 18*h**2 + 6*h + 12. Calculate n(9).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - 28 - 120) + 42 + 8.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1880 and 2350.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/443100 and 17\/1688?\nAnswer: 886200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4*a - 474, 5*a - 252 = -h - 0*a. Calculate the remainder when h is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -67\/63 + 16\/9. Let u(z) = -z**3 + z + 1. Let w be u(-1). Which is bigger: w or k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -1 + 0*l + 0*l + 0*l - 2*l. Let c be k(-1). Suppose a = -2 + c. Sort a, 5, 0 in decreasing order.\nAnswer: 5, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/63 - 269\/3. Let n = r - -29. Let w = 109 + n. What is the remainder when w is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**5\/30 - 6*l**2. Let z(t) = t**2. What is w(z(v))?\nAnswer: 2*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**4 + 38*m**3 - 258*m**2 + 730*m - 700 = 0.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 21*a - 1. Let y(d) = 112*d - 5. Let p(h) = -5*q(h) + y(h). Let j(f) = f - 4. Let c be j(4). Let l(s) = -s**2 + 2*s**2 + c*s**2. What is l(p(k))?\nAnswer: 49*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 5, -4, 302 in decreasing order.\nAnswer: 302, 5, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14504? (a) -4\/3 (b) 31 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u + 25. Let v be n(-17). Suppose l = v + 818. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 194 or 202?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50408175.\nAnswer: 3, 5, 439, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -100?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171830?\nAnswer: 2, 5, 17183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -153?\nAnswer: 9.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 c when three letters picked without replacement from {c: 2, e: 6}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 8*x**3 + 1 + 10*x**3 + 3*x to the form l*x**3 + g + n*x**2 + v*x and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39 - 15 - -20) + 45 - (-1 - -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*s**2 + 39*s**2 + 9*s**3)*((s + s + 0*s)*(-2*s - 2*s + 0*s) + 51*s**2 + 39*s**2 + 4*s**2).\nAnswer: 774*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -0*b - b. Suppose 10*l + 28 = 17*l. Suppose -2*z - 10 = 0, -l*a + 5*z + 46 = -a. What is the highest common divisor of b and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000099101066 rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20458 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: Rearrange -16*b - 2*b**2 + 34*b - 18*b + 18 to j + n*b + g*b**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 - -0.4. Let q = -5.3 + 5. Put 4, q, l in descending order.\nAnswer: 4, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 723.257955 and -3.97722?\nAnswer: 727.235175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*m + 62*m + 89*m**2 - 28*m to the form x + f*m**2 + w*m and give f.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 59 = 43. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247, 486, 723, 958, 1191, 1422?\nAnswer: 1651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - f - 9. Let t be u(-7). Suppose -3*r = -0*s - 4*s - 36, 4*r + 4*s = 20. Calculate the remainder when t\/r*-2 - 3 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.591 - 0.409. What is the biggest value in 0, m, -3, 4, 2.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58968940 is divided by 29484470.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**5\/180 + 49*c**4\/72 - 47*c**3\/9 + 8*c**2 - 92*c. Factor h(a).\nAnswer: -(a - 47)*(a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64306*b**2*o**3 - 19*b**2 + 379*b + 4810*o**3 wrt b?\nAnswer: 128612*o**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 4940491?\nAnswer: 988098.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 13*b - 173. Let u(r) = -20*r + b*r + 13*r. Let w(g) = -2*g**2. Calculate w(u(f)).\nAnswer: -128*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/22 and -65\/1642?\nAnswer: 18062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -412, -417, -434, -469, -528, -617, -742?\nAnswer: -909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 20\/(-8)*(1980\/75)\/(-3)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i - 5. Suppose 3*l = -q + 4*q + 33, 5*l = 25. Let p(w) = -4*w. Let o(s) = -3*s - 1. Let a(n) = q*o(n) + 4*p(n). What is 5*a(r) + 6*c(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15716 = 2281*b - 4311 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22818.95l in millilitres?\nAnswer: 22818950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oouomoommumuuoo. What is prob of sequence uuum?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 21*l + 129. Calculate t(-26).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from euegeeeeegugeeguee.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, y: 2}. Give prob of picking 2 y and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 - 363 = -2*d. Let a be (-2004)\/(-14) - (-2)\/(-14). Is a greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1081\/57 - (-21396)\/609786.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1744 or 28?\nAnswer: -1744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 1241*b = -17*k + 1245*b + 21, -2*k + 26*b - 56 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 290036689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -1\/2*n**4 - 61\/2*n**2 + 0*n - 46 + 0*n**3 + 7\/5*n**5. Find the second derivative of f(z) wrt z.\nAnswer: 84*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 + 1?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72*s**2*v**2 + 9*s**2*v - 9*s - v**2 + 2*v + 7209 wrt s.\nAnswer: -144*s*v**2 + 18*s*v - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3.7*-3\nAnswer: -11.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 53. Suppose -4*v - k = 3*p, 5*p + 0*p + 3*v = -43. Let w(u) = -u**3 - 9*u**2 - 9*u - 2. Is 3 a factor of w(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.2 - 10. Let a = -0.5 - i. Which is bigger: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -b + 2*f + 2, 0 = b + 3*f - 14. Suppose -3*t = b*t. Is (19 - t) + 2 + -2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66608087 divided by 1\nAnswer: 66608087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 4*v + 2*x = -10, -3*v - 21 = 3*x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**3 - 6*x**2 + 55*x + 25. What is the least common multiple of g(4) and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 54*g + 1032 = 58*g, -4*y - 5*g = -1029. Let a = 381 + y. Does 107 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.98 - -2.707. Let j = -0.073 - z. Let u = -3.07 + 0.07. Which is the closest to 1? (a) u (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32181, -32127, -32045, -31929, -31773, -31571, -31317, -31005?\nAnswer: -30629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.9, 1, 0.3 in decreasing order.\nAnswer: 5.9, 1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 20 = 2*z. Suppose -85 = -2*i + 5*q, 5*i - 124 = z*q + 96. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/37, 0.1, -0.2?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38547720 divided by -38547720.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -479, -956, -1433, -1910, -2387, -2864?\nAnswer: -3341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-168))\/(595\/833).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 63 = -57 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3\/19 - 5790*d**2\/19 + 63364*d\/19 + 242256\/19 = 0.\nAnswer: -3, 14, 2884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4 + 2*v**3\/3 + 14*v**2 - 50*v\/3 + 4 = 0.\nAnswer: -3, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 8 = 4*b, 5*c - b + 13 = b. Let x(a) = 5*a**3 - 3*a**2 + a. Let h(u) = 6*u**3 - 4*u**2 + 2*u. What is c*h(f) + 4*x(f)?\nAnswer: 2*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 42, 27, 12, -3?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 < 176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15394.05 and 0.2.\nAnswer: -3078.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 180\/(-5)*(-3)\/(-4). Let a = u + 39. Let n = -8 + a. Let r(o) = 3*o - 5. Give r(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i. Let g(q) = -1694*q**2. What is g(h(t))?\nAnswer: -60984*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 20 + 11 + 245*j + 10 - 55 to l*j + v and give l.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 d when three letters picked without replacement from {d: 1, g: 18}?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 12:45 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-4)\/42 + (-2228)\/420?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 66702*y**2 - 2539125*y + 2605824.\nAnswer: 3*(y - 22272)*(y - 1)*(y + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/138092109 or 0?\nAnswer: -2\/138092109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = i, 30*i = 59*a + 26*i + 197 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*k**3 - 126*k**3 - 2295*k**2 + 2297*k**2.\nAnswer: -231*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/14)\/(3 + (-96)\/28).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -100*k**4 - 17120*k**3 + 13744*k**2 - 2752*k = 0.\nAnswer: -172, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + (sqrt(425)*1)**2)*5.\nAnswer: 2119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(104))\/(2*sqrt(200)) - (-2 + ((sqrt(325) - sqrt(325)*-2) + 0 - sqrt(325)) + 1 + sqrt(325)*-2)**2.\nAnswer: -3*sqrt(13)\/5 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1651 - 1646. Let q(g) be the third derivative of 0*g**o + 8\/3*g**3 - 2*g**2 + 0*g + 1\/40*g**6 + 0 + 0*g**4. What is the first derivative of q(r) wrt r?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -850, -1639, -2428, -3217, -4006, -4795?\n\"Answer: -789*n - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 51580 and 340428?\nAnswer: 1702140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 51.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 532\/(-96)*(-8)\/28 + (-35)\/(735\/42).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 9680, -8 in decreasing order.\nAnswer: 9680, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-3\/7)*t)\/(t\/(t\/(t**(-11)\/t))))**(-1\/67))**(14\/5))**(6\/17) assuming t is positive.\nAnswer: t**(-1056\/5695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1132 or 9045\/8?\nAnswer: 9045\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1278602 + 197965.68.\nAnswer: -1080636.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -107*c + 98*c + 72. Solve 0 = -c*k + 19*k - 33 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10363*l**2*t**3 - 1711*l**2*t + 2*t**6 + 3*t**2 wrt t?\nAnswer: -62178*l**2 + 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a*a*a\/a**(-13))\/a)\/(a*a*(a*a**(-3\/7))\/a))\/(a**(-22)*a\/a**(3\/8)))**(4\/25) assuming a is positive.\nAnswer: a**(1949\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4740*r**2 - 14178*r**2 + 4666*r**2 + 4676*r**2 - r.\nAnswer: -96*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1241 (base 8) to base 9\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.07 (c) -5 (d) 1.1642 (e) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.867 - 0.033. Let n = -1.9 - p. What is the nearest to 0 in 0.4, -0.9, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -712804 divided by -1577\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 384638.1 millilitres?\nAnswer: 384.6381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9 - 5) + -4 + 1. Solve -3*c + 4 - x = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.313 + 0.113. What is the closest to -8 in s, 4, 2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 + 4*u**2 - 23*u - 45. Let t be z(-6). Let c(r) = -r - 4. Let o be c(-4). Solve -4*j + 4*n + t = 9, 2*n = o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5792021.\nAnswer: 23, 10949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - n + w, 4*w = -4*n. Suppose 0 = -n*s + s - 12. Suppose -4*u + 0*u + s = 0. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 17, -8307.3 in increasing order.\nAnswer: -8307.3, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 490 - 72*x**2 - 490.\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46961, -187478, -421679, -749570, -1171157, -1686446, -2295443?\nAnswer: -2998154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8646691274 to the nearest integer?\nAnswer: 2053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 1)**2 + -2 - ((-2*sqrt(153))\/sqrt(9))**2) + ((sqrt(119)*2*-5)\/(sqrt(56)\/(sqrt(8)*1)))**2.\nAnswer: 2*sqrt(17) + 1648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13614695 + -2.\nAnswer: -13614697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10936*v + 6 = 10930*v. Suppose -3 = i - 7. Put v, 1, -53, i in ascending order.\nAnswer: -53, v, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 7*a - 2. Let c(x) = 5*x - 2. Calculate -4*c(z) + 3*h(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2. Let q(r) = -3. Let p(s) = -5*o(s) + 3*q(s). Let c(w) = 2*w + 7. Let g(i) = -c(i) + p(i). What is g(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 6 - 5)*(495 - 495 + 14*q - 2*q**4 + 3*q**3).\nAnswer: 16*q**4 - 24*q**3 - 112*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6968)\/16884 - ((-13)\/91)\/(0 - 1)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 9:48 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/(-8))\/5)\/(7\/(-4))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(726)*-1 + sqrt(726))*1)\/(sqrt(16)\/(sqrt(16)\/(sqrt(6)\/sqrt(3)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 17*o. Let g(u) = 360*u**2. Give g(v(d)).\nAnswer: 104040*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hthh when four letters picked without replacement from {t: 3, h: 11}?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-14))\/(429\/273). What is the fourth smallest value in 3.7, -2\/5, r, -5?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 17. Let k(a) = -a - 1. Give k(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646*s + 643*s - 6 = -5*p, -4*p + 5*s = 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 7 + -1 + 193. Factor s*p**3 - p**3 + 24*p - 39*p**4 - 486*p**2 + 543*p - 243 + 3*p**5.\nAnswer: 3*(p - 3)**4*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1862874545?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -5 (c) -1 (d) -32 (e) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -593\/6 - -523\/6. What is the common denominator of d and -97\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*g = -23*g. Suppose g = 4*o + 41 - 49. Solve -3*m = -3*n + o*m + 17, n = -4*m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/17)\/j)\/j**6)\/((j*j**(-6))\/(j*j\/(j*j\/(j\/j**8)*j*j))))**(-6\/11) assuming j is positive.\nAnswer: j**(1116\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 176313 = 64640 + 225147. Is 40 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = -4*k + 311. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -691, -1051, -1463, -1927, -2443, -3011, -3631?\n\"Answer: -26*m**2 - 282*m - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96316 + 72743 = 6522*q + 1056051 for q.\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 6*f + 4. Let r be a(-8). Solve 5*p - 20 = -5*s + r, 0 = -4*p - 3*s + 27 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, t: 1, s: 1, b: 1, d: 4, k: 4}. What is prob of sequence to?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -43*h + 127. Determine l(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3104, 8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77 + 29. Let m = -48 - v. Solve 2 = g - m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 5)*(k - k - k**2) - 2*k**2 + 5*k**2 - k**2 to t*k + i*k**2 + x and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643211 is divided by 612.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m**3 - m**2 + 2*m. Let l(t) = 2*t**3 - t**2 + t. Give -b(f) + 3*l(f).\nAnswer: -f**3 - 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144377053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**2 + 82 + 5*q**3 - q**4 - 8*q - 38 - q**5 + 0*q + 0*q**2 - 40 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5147549 is divided by 1294?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 4\/18 + ((-1047)\/(-27) - 1)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 922\/1828 + (-3)\/6. Let p = -9593\/914 - t. Let j = -8 - p. Sort -5, 2\/11, j in increasing order.\nAnswer: -5, 2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 46. Which is the second smallest value? (a) 0 (b) q (c) -62\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6728637 is divided by 1079?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -11\/3*u**3 + 0*u + 1\/4*u**4 + 0 + 1\/30*u**5 - 39*u**2. What is the tens digit of i(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1830132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-53)\/636*(-12)\/10*120\/(-54))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l**2. Let c(m) = -m**3 - 3*m**2 - 2*m + 1. Let k be c(-2). Suppose 5*j - k = 34. Let p(x) = 0*x - 5*x + j*x. Determine p(y(v)).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 10*g**2 + g + 13. Let s be y(-10). What is the first derivative of 5*n**2 + 1 + 4*n**s - 5*n**2 wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1351017.\nAnswer: 3, 43, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + -28. Suppose -3*p + 147 = 4*q - q, -b*q + 3*p = -83. Let l = q + 109. What are the prime factors of l?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -15*l**2 + 17*l + 9. Let x(i) = -8*i**2 + 9*i + 5. Let b(s) = -4*v(s) + 7*x(s). What are the prime factors of b(4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2806, -11204, -25206, -44818, -70046, -100896, -137374?\n\"Answer: -m**3 - 2796*m**2 - 3*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + 0 - sqrt(12)\/sqrt(6)*6) + (-1 + sqrt(800) - (sqrt(2450) + 0 - sqrt(50))))**2.\nAnswer: 28*sqrt(2) + 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1790*r**2 + 5*r**3 + 13*r - 7 - 9 - 3*r**3 - 14*r.\nAnswer: 2*r**3 - 1790*r**2 - r - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 2\/371, -1, -2\/9?\nAnswer: 2\/371","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (1 + 1 - 7)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -6 - 26. Let p = q - 6. Let z = 136 - 130. Solve 4*o + 16 = -o - 2*d, z = -p*d for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + (-1 - 1))*-1. Let i(m) = -m**2 + 4. What are the prime factors of i(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, s: 1, y: 1, j: 1, h: 2, l: 1}. What is prob of sequence ls?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven quarters of a minute?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 3:31 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -8 (c) -4 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x - 2*x**3 - 2*x + 3*x - 3 - 7*x - 2*x**4 in the form q*x**3 + k*x + c*x**4 + o*x**2 + m and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 8 = 2*n - 4, 2*n - 2 = 4*j. Solve -3*s + n + 7 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 82*d + 1681.\nAnswer: (d - 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1489 (base 10) to base 13\nAnswer: 8a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 120*w + 120*w.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11527 + 13858 = 63*z for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from ppppnn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3513311467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/2)\/((-2)\/(6\/(-7))). What is the closest to 1\/7 in -5, -0.5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = 20*y - 1352550. Let t = 13164845\/292 - y. What is the common denominator of 85\/6 and t?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4\/11 - 3716748*o**3\/11 + 3453561357364*o**2\/11 - 13814200828512*o\/11 + 13814185961536\/11.\nAnswer: (o - 1858372)**2*(o - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a micrometer in nanometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 4:16 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of -o**4\/24 + o**3\/6 - 109*o**2 + 1. Let h(k) = 3*k - 3. Give -h(j) - 4*n(j).\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2. Let h(b) = 18*b**2 + 2*b. Calculate z(h(n)).\nAnswer: 648*n**4 + 144*n**3 + 8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.447 + 1.553. Sort -28, z, 0 in descending order.\nAnswer: z, 0, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -8*w - 8. Let h be o(-7). Suppose -h = -3*k + 9. Calculate the remainder when 36 is divided by k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, x: 15}. What is prob of sequence bxb?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65701553 is divided by 161.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -2\/21, 0.03, -1, 0.3 in descending order.\nAnswer: 0.3, 2\/7, 0.03, -2\/21, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36888017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, -74, 64, 246, 466, 718?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 42*i + 36*i = 36, 0 = i + 4. Let u(z) = z**2 + z. Let v(r) = 6*r**2 + r. What is k*u(y) - v(y)?\nAnswer: -2*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/(-14))\/((-21)\/(-147)). Let w(h) = h**3 + 18*h**2 + 4*h + 1. Let j be w(v). Put -5, j, -3 in decreasing order.\nAnswer: -3, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 8*h + 200. What are the prime factors of a(-6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than 16.7262?\nAnswer: 11.7262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-k + k - 4*k)*(-1 - 1 - 1) - 5*k + 4*k - k to n*k + b and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from pmikpmwvppkkik.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -20. Let q be r + 25\/5 + -2. What is the first derivative of 194*j**q + 19 - 144*j**4 - 88*j**4 wrt j?\nAnswer: -152*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1021141 - 320?\nAnswer: 1020321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/9*175953\/4. Let n = d - 9799. Calculate the common denominator of (-1 - -2)*4 - 235\/(-70) and n.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3548973?\nAnswer: 3, 31, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 5. Let b(s) = -s**2 + 9497*s + 0*s**2 + 8 - 9498*s. Determine b(l).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 75 = -5*z, 2*z = 11*g - 13*g + 34. Let w = -18 + g. Solve 4 = -w*c + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3201.0000001899 - -3201. Round i to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 4:46 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -27\/2*z**2 + 36*z**3 - 96 - 2*z. Find the second derivative of n(c) wrt c.\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1973.872 litres in millilitres?\nAnswer: 1973872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3436654501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1524 + 1052. Suppose -5*x = 5*g - g - 4304, -3*x + 4*g = -d. Does 16 divide 4\/(-6) - x\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -7735?\nAnswer: -7731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 626 + -226. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -7573, -355.\nAnswer: -7573, -355, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*(3 + 0 + sqrt(2420))*-5)**2.\nAnswer: 330000*sqrt(5) + 6072500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 13*n - 10. Let h = -47 + 61. Let o be d(h). Suppose -5*k - 3*b = -19, -o*k - 5*b - 5 = -3*k. Solve -k*z + 4*z = 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-2 - (1 + (3 - 3)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8595*k - 410942 = -243197 + 99556 + 437489 for k.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 - 15*y)*(2*y + 0 + 0)*(-3*y**2 + 10 - 10).\nAnswer: 90*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16.5 and 303688?\nAnswer: 5010852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p + 76. Is r(19) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 28*n**2 - 30*n - 30. Calculate a(-29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 + c**4 - 9 + c - c - c**4 + (2*c**3 - 3*c**3 - c**3)*(-4*c + c + 4*c) + (-6*c**3 + 0*c**3 + 0*c**3)*(-3 + c + 3).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -5 - (-3)\/((-18)\/(-642)). Let l be (8 - n\/15)*5. Solve -l*i = 2*i - 16 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (40\/30)\/(4\/6). What is the units digit of (1 + 1 + -3)\/(j\/(-46))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 1. Calculate s(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 0.1057936\nAnswer: -0.528968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1080 + -1078. What is the closest to 23 in 5, 2\/5, 1\/2, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4)**(-9)*(w**(2\/7))**32 assuming w is positive.\nAnswer: w**(-188\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2650)\/(-2120))\/(15\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*q + 14*q + 135 + 8*q)*(q - 1 + 1).\nAnswer: 2*q**2 + 135*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -21, -0.02, 0.15?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 866*c - 4114*c + 477456 for c.\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -9. Let p(z) = 2*z**2 - 2*z**2 + 3*z**2 - 5*z**r. Let y(t) = 12*t**2. Determine y(p(h)).\nAnswer: 48*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a minute in milliseconds?\nAnswer: 33750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 545*m**2 + 754*m**2 + 394*m**2 + 792*m**2 + 679*m**2.\nAnswer: 3164*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xxjxxjxxxxxx.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 10) to base 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-8)\/28 + (-32)\/(-14) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 2*n = -5. Suppose -10*f + 56 - 6 = 0. Calculate the greatest common factor of n and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2561538, 2561536, 2561534?\nAnswer: 2561532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (11\/385)\/((-490)\/420 - 19\/(-42))\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 8, 1\/3, 1\/4, -1\/23?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32646 - -46215. Let x = 19886 - u. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 98, -9\/7, 0.1, 0, 0.024?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11380 + -5622. What is the thousands digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 5*z = 12. Let l = z - -6. What is the remainder when 6\/(30\/35)*(6 + -1) is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + k - 26 = -5, 1 = -3*l + 5*k. Calculate the lowest common multiple of 14 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 0*o**3 + 0*o**5 - 2*o**2 + 0 - 1\/8*o**4 + 0*o + 0*o**7 + 0*o**6 - 1\/112*o**8. Find the second derivative of l(c) wrt c.\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (212\/(-530))\/((59\/1)\/(225\/(-135)))\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n + 4. Let a = 0.46 + -0.16. Is a bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -2*g + 2*q + 13, 5*g - q - 29 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274 = -17*h - 121. Let d(o) = 20*o**3 + 9*o**2. Let y(a) = 10*a**3 + 4*a**2. What is h*y(i) - 4*d(i)?\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 79271976 to the power of 1\/2, to the nearest integer?\nAnswer: 8903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -24*u - 17. Let v(y) = y - 10. Determine m(f) - 2*v(f).\nAnswer: -26*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3*1\/((-12)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -5*q**5\/2 + 549*q**4\/2 - 9935*q**3 + 114367*q**2 + 299811*q\/2 + 50653\/2 = 0?\nAnswer: -1, -1\/5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l - 9. Let s be v(3). Solve -2*z + c - 1 = s, -5*z - 16 = 2*c - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {k: 1, o: 4, d: 1, j: 9, a: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244851, -244853, -244855?\nAnswer: -244857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, 6, -11, -5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 17077150 (base 8) to base 6\nAnswer: 220550132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 m when four letters picked without replacement from hoohaoooohoahohohmm.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1833905, -3667818, -5501731?\nAnswer: -7335644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 30*f - 4. Let k(u) = -31*u + 5. Let h(l) = 4*g(l) + 5*k(l). What are the prime factors of h(-2)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 5*n**8\/56 + 167*n**5\/5 - n**4\/12 + 479*n**3\/6 + 2193*n + 1. What is the third derivative of x(a) wrt a?\nAnswer: 600*a**3 + 4008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 3*j + 20. What is the second derivative of 0*v**4 + 0*v + 0*v + v + 2*v**j wrt v?\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q + 28. Let c be u(4). Solve -21 = 3*h + 5*g, 0 = -4*h - 0*g + c*g + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 7:28 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5\/4 + 13*a**4\/4 + 27*a**3\/4 - 41*a**2\/4 - 29*a - 15 = 0. What is a?\nAnswer: -10, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 13 = 2*f - 13, -34 = -4*f + 2*p. Suppose -f*l - 132 = -11*l. Calculate the highest common factor of l and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 8*t + 12. Let l = -8 + -1. Let p be m(l). Suppose -3*y + y + 20 = -p*j, 2*j + 56 = 4*y. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2*h**3 + h**2 - h + 100. Let n be y(0). Suppose -b - 3*u - 2 + 17 = 0, -3*b - 5*u = -25. Suppose 0 = x - b*x + n. Round x to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 3*k**2\/2 - 3272. Let w(q) = -371*q**2. Let u(c) = -37*c**2. Let s(x) = -21*u(x) + 2*w(x). Give f(s(a)).\nAnswer: 105*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1932*s - 1935*s = 411. Is s >= -139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 928 = -4*v - 911, 2*v - h - 43 = -30 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - w - 3. Suppose 11 + 13 = 4*b. Let r = b + -8. Let p = -2 - r. Give q(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10990 - 10980. Let g(m) = -2*m**2 + 4*m - 2. Let x be g(3). Let f(p) = -p**3 - 7*p**2 + 4*p - 6. Calculate the remainder when f(x) is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 0 + 26*v**2 - 2*v + 1\/450*v**5 + 0*v**3 - 1\/180*v**4. Factor y(h).\nAnswer: 2*h*(h - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 305 divide 37020853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 30*y**2 + y - 5. Is s(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32\/30 - (352\/33 + -9)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + 6. Let t = v + 19. What is the greatest common factor of t and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrr. Give prob of picking 2 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u + 2 - u - 2*u. Let v = 12673 + -12670. Give x(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34779796620\/46049 - 755278. Let q = -7701340705643\/9 - -2837112305220664535\/3315528. Let g = q - p. What is the common denominator of g and -61\/15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -471288.006 rounded to the nearest 10?\nAnswer: -471290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104243 (base 8) to base 4.\nAnswer: -20202203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, 3, -4 in descending order.\nAnswer: 3, 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 3*t. Let v(l) = l. Let m(d) = a(d) + 3*v(d). Let o(k) = -10*k. Determine m(o(s)).\nAnswer: -200*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2))**35\/(l**(-1\/4))**(-13))\/((l\/l**(-4)*l*l**4)\/(l**(-1\/2)*l\/l**(1\/4))) assuming l is positive.\nAnswer: l**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 67, 151, 309, 565, 943?\nAnswer: 1467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b = -5*a - 10, -1870*a + 1867*a = -2*b - 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-9) + (-25 - -21) + ((-1375)\/132 - -17)?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**4 - 6574340*g**3 - 48312*g**2 - 311.\nAnswer: 48*g - 39446040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -436 - -433.1. Let z = 1.1 - -0.8. Let u = j + z. Which is smaller: -2.7 or u?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = s - 5*m, -7*s = -6*s + 4*m - 96. Suppose -35 + 85 = u. Calculate the greatest common factor of s and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.23 (b) -1\/6 (c) 2806\/5 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6101?\nAnswer: 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 != 934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6574 and 1038?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (396\/(-156))\/33 + -1*(-5660)\/572 + -6?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 16*y + 88 = y + 6*y - 12, 0 = 2*t - 3*y - 76 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1030*d**2 + 5*d - 50555 wrt d.\nAnswer: 2060*d + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2582802382\/1233 + -2094730. Let l = k + -2\/137. Put -0.3, 4, l in increasing order.\nAnswer: -0.3, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (6 - -2) - (-3 - (3 - -8)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/2))**(-2\/161))**17\/((g*g**(-5))\/(g**(-2)\/g))**(-40) assuming g is positive.\nAnswer: g**(-6423\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 138*p. Let q(v) = 24*v - 14. Let t(w) = 5*w - 3. Let x(o) = o + 14. Let f be x(-17). Let u(c) = f*q(c) + 14*t(c). Give u(h(d)).\nAnswer: -276*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (944\/320)\/((-2)\/10*98\/(-392))\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13515?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 3*h**5\/10 + 5*h**3\/6 - 2*h**2 + 14*h. Let o = 5 - 10. Let c(x) = -2*x + 8*x + 2 + 7*x**3 - 7. What is o*c(j) + 6*a(j)?\nAnswer: j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. Let k = c + -2.04. Let y = -0.1498 - -0.0498. Sort -0.3, y, k in ascending order.\nAnswer: -0.3, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.619 and 0.7.\nAnswer: -0.4333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 269410655 and 269410653 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 165*q + 78 + 252 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2655320, -2655312, -2655304, -2655296, -2655288?\n\"Answer: 8*v - 2655328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/1863 and -67\/450018.\nAnswer: 4050162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 47538, 95079, 142620, 190161, 237702?\n\"Answer: 47541*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/9 + 415748*y**3\/9 - y**2\/3 - 1247242*y\/9 + 831496\/9 = 0. What is y?\nAnswer: -415748, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 1:17 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -32*d - 8. Let v be c(-4). Let p = v - 67. What are the prime factors of p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**5\/60 + i**4\/24 + i**3\/3 + 2*i**2. Let n be h(-2). Suppose 0 = 2*x + 5*j + 3, 5*j = n*x - 26 - 13. Solve -x*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/144)\/(7\/(-6))*-2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*f = 18, -3*j = -2*j - 2*f. Let c be ((-4)\/j)\/(2\/26346). Let i = 2782 - c. Round i to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1537, 3069, 4631, 6223?\n\"Answer: 15*d**2 + 1487*d + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 4 (c) -5\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - p + 5. Let h be d(0). Suppose -u + h*l = -50, u = 2*u - 3*l - 44. What is the highest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4 + 43. Suppose -5*x + 3 = h. Let w be -148*(-5)\/(-8)*x. What is w rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 4, -25, 259?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8699, 8710, 8721, 8732, 8743, 8754?\nAnswer: 8765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40099 - -8420851\/210. Calculate the common denominator of i and -2 - (-166)\/8 - 1.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 39, 45, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**4 - 3*t**4 - 2*t**4 + 4*t**4 - 2*t**4 - 3*t + 3*t + (t + t**2 - t)*(2*t**2 + t - t) + 6*t**3 - t**4 - 6*t**3.\nAnswer: -7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 0, -7, 13.5, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 - 9*s**3 + 4*s**3)*(2 + 0 + 1).\nAnswer: -21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 10*n + 13. Let u be t(-11). Suppose -10 = -j - 2*z, -2*z + 7*z - 25 = 0. Solve -u*v = -j*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/(b\/((b\/(b\/b**(13\/3)))\/b))))\/b*b**(-10)*b**(-19)*b\/((b*b**(-1\/12)\/b)\/b) assuming b is positive.\nAnswer: b**(-125\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 1)\/(31\/341). Let z(i) = -4*i**2 + 15*i - 13. Suppose 23 + 7 = 5*w. Let r(x) = -2*x**2 + 8*x - 7. What is t*r(q) + w*z(q)?\nAnswer: -2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 1:53 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52048.\nAnswer: 2, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 331*q**4 + 2*q**2 + 65*q?\nAnswer: 7944*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q + 42 = 21*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 35373763.8 to the nearest one hundred thousand.\nAnswer: 35400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1178 (base 10) in base 14?\nAnswer: -602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*c + 22*c + 411 + 7*c - 53*c to the form q*c + f and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/(-27))\/((-2)\/(-24)). Solve 4 = -4*n - p*z, -2*z = -3*n - 2*n + 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2567*g = -2542*g - 175 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**3 - d - 1. Let z(p) = -14*p**3 - 4*p + 25. Let q(s) = 2*h(s) - z(s). Find the second derivative of q(n) wrt n.\nAnswer: 108*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504*y - 1995*y + 500*y + 495*y + 143 + 499*y.\nAnswer: 3*y + 143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11450.\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1763 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6363056um in meters?\nAnswer: 0.0000006363056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12355 is divided by 60?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(3\/5))\/q*q**(-4\/39)*q\/q**(-6\/7)*q**(2\/93) assuming q is positive.\nAnswer: q**(100544\/42315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 + b**2 - 12*b - 8. Let y(l) = 6*l**3 - 4*l**2 + 34*l + 22. Determine -8*i(u) - 3*y(u).\nAnswer: -2*u**3 + 4*u**2 - 6*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 19 + 17. Let x be (0 - u\/(-12)*2) + 1. Which is the closest to 0.3? (a) x (b) -0.1 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2894265741 to the power of 1\/2, to the nearest integer?\nAnswer: 53798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrv when three letters picked without replacement from mmmmmrfmvfvfmmmojvm?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6571 or 755588\/115?\nAnswer: 6571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235191520?\nAnswer: 2, 5, 1469947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -9 - 2*f + 3 + 6. Let x(q) be the third derivative of 8*q**2 + 13\/24*q**4 + 0 + 0*q + 0*q**3. What is x(u(y))?\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -175*i + 2883. Give x(23).\nAnswer: -1142","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**2\/7 - 83799*q\/7 - 83802\/7 = 0. Calculate q.\nAnswer: -1, 27934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260314.\nAnswer: 2, 23, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17 and 249.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.1, 11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 11100000000101?\nAnswer: 11100000000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -128*l + 2554. Give k(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.83626 millilitres in litres?\nAnswer: 0.00183626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2\/10 + 1487*f + 89148\/5 = 0. Calculate f.\nAnswer: -14858, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/3)\/(66605\/(-9513) + 7). Suppose -d*y + 450*y = -39. Calculate the remainder when 103 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*1 + 7\/(35\/75). Solve -o + 4*k - l = -0*o, -k - 2 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s + 6. Suppose 6*i + 5 = i. Let a be i\/2*(1 + 9). Let t = a + 11. Let p(b) = -5*b - 7. Determine t*o(h) + 5*p(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-392)\/2058*(-4)\/(-6)*(-513)\/6.\nAnswer: 76\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-35)\/15 - -6 - 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1586 and 6457948.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1617) - sqrt(198)\/sqrt(6)*-4)\/((sqrt(2400) + (-1*sqrt(2400) - sqrt(2400)))\/(sqrt(800)*-2 + sqrt(800) - sqrt(800))))**2.\nAnswer: 12716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(605) + 0)*2 + 3 + -1 + sqrt(605) + -1*sqrt(605) + sqrt(605) + sqrt(605) + 1 + -1)**2 + -4.\nAnswer: -176*sqrt(5) + 9680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 11. Let h be -3*7\/((-63)\/6). Let q = h + -10. Let n be j(q). Solve 2*r - n*o + 2 = -4*o, 12 = -3*o for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-7\/8)\/u**39*u**45*u**(1\/14) assuming u is positive.\nAnswer: u**(291\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 182 = -5*g, 0 = -0*n + 3*n - 9. Suppose 5*u - 3*v - 183 = 0, -g = -5*u - 5*v + 141. What is the greatest common factor of u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3 + 4)*(-3*j + j + 6*j) + 160*j - 98*j - 97*j + 2*j + 4*j - 3*j to x*j + z and give x.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u - 31. Let b be o(-9). Let j be 2\/b - (54\/12)\/(-1). Solve 6 = -j*h + 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.082212kg to nanograms.\nAnswer: 82212000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -405 by 5.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(189)\/sqrt(3))\/sqrt(9) - (sqrt(14)\/sqrt(2) + -1)) + 4 + (6*(sqrt(56) + sqrt(896)))\/(sqrt(64)\/sqrt(2) + sqrt(8)))**2.\nAnswer: -40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 2:12 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*t - 48*t - 1940. Find the third derivative of 28*u**2 + 795 + 44*u**2 - t*u**4 - 795 wrt u.\nAnswer: -4656*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 168\/105 - 74\/40. What is the third biggest value in 1, n, 4, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -24*s. Let p = -251 - -253. Let i(k) = -p*k**2 + 10*k**2 - 3*k**2 - 3*k**2 + 0*k**2. Calculate i(j(q)).\nAnswer: 1152*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*t + 2*t + 33950, 2*p - 33946 = 2*t. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w = z + 5*w - 16, z + 4*w + 20 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/9 (b) -149.3 (c) -0.21 (d) 0.1 (e) -0.2 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.07405191 and 4373?\nAnswer: 4373.07405191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 151001 + 151001 + 13*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-18))\/((-25)\/10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -d + 36 - 5, -5*o - 31 = -d. Find the third derivative of -2*s**2 + 9*s**3 + s**2 - 76*s**3 - d*s**2 wrt s.\nAnswer: -402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/2 + 66*u - 129\/2.\nAnswer: -3*(u - 43)*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1021, -263, 495?\nAnswer: 1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.44 - 18.44. Let n = -16 - u. What is the nearest to -1 in n, 2\/3, 14?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -248*o**3 + 499*o**3 + 5*o - 254*o**3 + 10*o**2 to the form j*o**3 + p*o + q*o**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 98.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 36616559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = m - 25, -4*x - 4*m + 5 = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*1*(2 + -3). Let y = -1 + 1. Let z = y - 0. Solve -v*l + 2*f + 2*f - 16 = z, -12 = -3*f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4 - 2*c - 4*c + 7*c. Calculate g(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123468 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 13*p - 23. Let c be w(6). Calculate the highest common divisor of c and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 294242?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2809, -2977, -3285, -3739, -4345?\nAnswer: -5109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/12*(542 - 480)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**2\/9 - 32*q\/9 + 11\/3 = 0?\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -136 - -136. Put 3, 4\/5, o in descending order.\nAnswer: 3, 4\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 - 59*h - 316. Let a be l(-8). What is the greatest common factor of a and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a - 30. What is y(-7)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 34. Solve s + 6 = 5*f - 4*o, 5*f - 32 = -4*o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 4, -1811, -68 in decreasing order.\nAnswer: 4, 1, 0, -68, -1811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/46, 1\/2, 3, -3\/7, -3, -0.4?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*z + 23*z - 86*z to v + h*z and give h.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 87, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2575*z + 2577*z - 7725*z + 2570*z. Let s(u) = u**3 - 10*u**2 + 9*u + 5. Let c be s(9). Let f(d) = -3*d + c*d - 2*d**2 - 2*d. Calculate g(f(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -125145.699 minus 0?\nAnswer: -125145.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -695.967.\nAnswer: -69.5967","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -1183?\nAnswer: 117c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-7)\/l**(-23))\/(l*l\/(l\/(l\/((l\/l**(-27))\/l*l)))*l**(2\/17)*l) assuming l is positive.\nAnswer: l**(695\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.936 - -10.936. Which is greater: l or 0.07425?\nAnswer: 0.07425","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 4*i + 8 = -2*h, h + i = -4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63 - -17) + 59 + 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 117 = -4*u. Suppose 20 = 4*g + 8, 0 = -5*h - g + 248. Calculate the remainder when h is divided by u\/(-6)*(-2)\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 5. Let w be (-2 - -3)\/(k\/(-50)). Solve 13 + 7 = w*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 18 = t + 155, 5*t + 2*w + 708 = 0. Which is greater: t or -281\/2?\nAnswer: -281\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*k**3 + 320*k**3 - 60*k**3 - 64*k**3 - 66*k**3 - 66*k**3 + 4*k**2.\nAnswer: -k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 5:15 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*n + 3*n = 282 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 290 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 225*y**2 + 2*y + 5*y - 55*y**2 - 3*y + 6*y**4 - 5*y to d*y + i + t*y**2 + j*y**3 + k*y**4 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4681 = -3*b, -640 = b + 4*q - 2215. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o**2 - 3*o. Let c(m) = -m**2 - m. Determine 3*c(r) - y(r).\nAnswer: -11*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 c, and 1 p when four letters picked without replacement from bccprcrcrcrcpccqr.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146822590.\nAnswer: 2, 5, 14682259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 + -63.7056. Let f = w + -0.30817. Round f to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 74, 2, -0.06, 2\/9, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 15*u - 21 - 38 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(1 + (-18)\/12). What is the greatest common divisor of 2219 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1501 is divided by 84?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3590*c**2 + 3587*c**2 - 7179*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/2)*k*k**0)**(-36)*(k**(1\/3))**(-1\/2)*k*k**(1\/5)*k**2 assuming k is positive.\nAnswer: k**(-1529\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -1\/3 (b) 1 (c) -1 (d) -41.5 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 - 10*x - 6. What is b(5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.03516325 * 0.5\nAnswer: -0.017581625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 380737264\/5 or 76147453?\nAnswer: 76147453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -3, 2\/13, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 8. Let m = i + -3. Let o = 6 + -10. Which is the nearest to 0.1? (a) -2 (b) o (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 + 147 - 57 + 10*h**3 - 57 - 35.\nAnswer: 12*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1049100 to the nearest 10000.\nAnswer: 1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28, 51, 74?\n\"Answer: 23*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -10*r**2 - 3*r + 3. Let h(o) = -o + 1. Suppose 5*g - 9 = 2*s, 5*g + 1 = -15*s + 12*s. Determine s*x(j) + 6*h(j).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 23*j**2 + 5*j + 3. Let o(s) = -s**3 - 27*s**2 + 6*s + 4. Let z(p) = 4*o(p) - 5*x(p). Calculate z(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 2*q**2 + 1092*q - 127. Calculate d(32).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/16)\/(1\/4). Let n(b) = 5 + b + 2*b - 7*b + 2*b**2. Let c be n(g). Calculate the greatest common factor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 547.0811 millimeters to centimeters.\nAnswer: 54.70811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -6*c + 1. Let t be s(-8). Let i = t + -29. Suppose 5*h - 35 - i = 0. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 67*j**4 + 25*j**3 - 755*j**2 + 2*j + 754*j**2 - 26*j**3 to the form a*j**3 + f*j + v*j**2 + g*j**4 + q and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*p**2*t*v*z + 2*p**2*t + p**2*v**3*z - 3*p*t*v**2 + 2*p*t*v + t*v**3 + 2*t*v**2*z + 7*v**6 wrt v.\nAnswer: 6*p**2*z + 6*t + 840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 450491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/2*1)\/2. Suppose 5*t - 2 - 18 = o. Let u = -244 + 489\/2. Which is the closest to u? (a) 5\/4 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -12 - ((0 - 1) + -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-292*y + 1714*y + 1718*y)*(0 - 4 + 3) to s*y + a and give s.\nAnswer: -3140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -6137269.\nAnswer: 5\/6137269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*l - 5428 = -32383, 0 = -3*j - l + 26961. Does 19 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1055, 3, 0.3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (2 - (-445)\/(-50))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*h + 66 - 555 = 720 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436.481 millilitres in litres?\nAnswer: 1.436481","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108162)\/(-4006)*1\/((-3)\/(-1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 1 - 2) + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -1. Let n(g) = -2*g + 2*g - 6*g + v*g. Let a(j) = 2*j**2. Calculate a(n(u)).\nAnswer: 32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -8399.4011\nAnswer: 2519.82033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, u: 3, t: 2, f: 5, k: 3}. Give prob of picking 2 v.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 10 = -2*x, -11160*a = -11172*a + 5*x - 59 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-12)*-9 - ((-650)\/8)\/13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**5\/20 - w**4\/12 - w**3\/6 + w**2\/2 - 12*w. Factor c(r).\nAnswer: (r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 57047 - -3060?\nAnswer: 61117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23283 and 936.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2225.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10115 and 3920980.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + s**2 + 4*s**3 + 6*s**2)*(-2*s - 2*s + s).\nAnswer: -6*s**4 - 21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*v**3 + 142*v**3 - 3*v**2 - 75*v**3 to i*v**3 + u + y*v + g*v**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 14) + 5 - -9.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 2:34 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllllplplpnl. Give prob of sequence nll.\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/5))**(-2\/17)\/((f\/(f*(f*(f\/(f**(-2\/5)\/f*f*f)*f)\/f*f)\/f)*f)\/f**(-6\/11)))\/((f\/f**7*(f*f**(-4)\/f)\/f)\/(f**(5\/4)*f*f**(1\/2))) assuming f is positive.\nAnswer: f**(50793\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 193*m**2 - 1119*m + 575. What is w(-187)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20888 + 20886 = -4*j - 2*o, -5*j = 3*o - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**3*p)\/((p**8*p)\/p))\/((p\/p**3)\/p**(-3\/8)) assuming p is positive.\nAnswer: p**(-59\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0 - 8 = 0. What are the prime factors of (j + -3)*(-15 + 3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-3*3*(-109)\/109)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 4, 5, 0.6, -8.64?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 9:41 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.1 + 7.1. Let i = -6.78 - -8.78. Sort 5, 0.2, i, n in decreasing order.\nAnswer: 5, i, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z + 5. Let g(l) = l - 9. Suppose 3*x + 1 = 10. Let k be g(x). Let r(t) = 4*t + 4. Determine k*n(j) + 7*r(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(275) - (3 + (sqrt(275) + (-2*sqrt(275))**2 - sqrt(275)))) + sqrt(275) - sqrt(275)) + 2 - (5*2*(sqrt(275) + sqrt(275)*-1))**2)*-2 + 2.\nAnswer: -10*sqrt(11) + 2207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 2*v + 2, 33 = -0*j + 2*j - 5*v. Suppose -5*u + 1019 = -j*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**5\/5 - 19*w**2\/2 + 7*w. Differentiate n(h) wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8c + -5?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*f - 1 - 3 + 7)*(7*f + 8*f + 4*f) as t + c*f**2 + p*f and give c.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1176 divided by 426.\nAnswer: 196\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 839150 and 1664.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7650 and 18?\nAnswer: 7650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 10 = 5. Let i = -2 + r. Let m be 1\/i + (-44997)\/(-9). What is m rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 - 6*k - 18. Let f = 76 - 75. Suppose -4*s + 37 = f. Let h be g(s). Round h to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 221880518 or 221880519?\nAnswer: 221880519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2223\/8 - 366779\/1320. Let a = -674\/1155 + d. What is the nearest to 1\/2 in -5, a, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5823 is divided by 583.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5 - j**3 - 116*j + 13*j**2 + 7*j**3 - 5*j**3 + 13*j**2 - 8*j**2. What is the hundreds digit of r(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*y + 4. Let i(s) = s + 9. Let z be i(-6). Suppose -3*b = 14 - 2, 40 = z*t - y*b. Are 7 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 261 + -473. Let h be (w\/(-12))\/(2\/12). List the prime factors of (h - -1) + (-2)\/(8\/(-4)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 6. Let j = u - -6.1. Let t = -1.391 + 0.791. What is the closest to t in 3, -2\/9, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1497 and 1449 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 22 + 4*s + 1\/2*s**2. What is z(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g + 24. Let z be ((-2)\/(-2))\/(g\/(-144)). Suppose 3*s + 12 = z. What is the closest to 2\/3 in 3\/7, s, -3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2433 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 12. Let w(q) = -q**3 - 32*q**2 - 110*q + 47. Let i be w(-28). Determine k(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from mmiiicimiijijcjji.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -12141?\nAnswer: 12140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - (-1 + -4 + 3). Is (-1 - 0) + (u + 1 - -1734) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5770 and -47?\nAnswer: 5817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3857867 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*t + 242*t - 491*t = 14*n + 17*n - 317, 265 = -5*n + 5*t for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18288 - -21115. What is the least common multiple of 10 and p?\nAnswer: 28270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1397.9021 - -0.0979. Let r = -1399.251 + o. Let z = r - -0.161. Round z to 1 decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3358.1 + -3357.1. Let u = 2.6 + -3. Which is the fourth smallest value? (a) u (b) f (c) -0.2 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -14 + 14 - f. Let j(i) be the first derivative of -1\/3*i**3 + 6 + 0*i**2 + 0*i. Give c(j(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54131*j**4 - 67459*j.\nAnswer: -649572*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134922973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*x + 14*x - 20. Solve -4*c = -x*c + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlm when three letters picked without replacement from {h: 2, l: 3, s: 2, q: 2, m: 4, c: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 8*f**4 - f**2 + f. Let k(o) = 1565*o**4 - o**3 - 57*o**2 + 3*o - 6. Let z(u) = k(u) - 2*m(u). What is the third derivative of z(i) wrt i?\nAnswer: 37176*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 15, i: 3}. Give prob of sequence ff.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 91 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o - 8 = 0. Suppose 4 = -o*b + 4*b. Solve -m + b = -2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14442 and 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16520 + 42183. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2465*u - 157780. Determine j(64).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - q + 1. Let x be o(1). Suppose -2*w = -0*w + g + x, -20 = -4*w + 4*g. Which is the nearest to w? (a) 1\/5 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000102474 rounded to 6 dps?\nAnswer: 0.000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5\/2 + 27*d**4 - 451*d**3 + 2298*d**2 - 3897*d\/2 - 4725 = 0. What is d?\nAnswer: -1, 3, 6, 21, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = w + 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 174, 1, 61, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**4 - u - 1. Let j(h) = -2*h**4 - 2*h**3 - 12*h**2 + 15*h + 24. Let m(p) = j(p) - 3*o(p). Determine x so that m(x) = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0448765734 rounded to 4 decimal places?\nAnswer: 0.0449","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 19*t**2 - 17*t + 26. What is the units digit of k(-18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 11.7. Let x = 0.3 - o. Let w = x + -3. What is the third smallest value in 1, w, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(85)\/sqrt(5)*1*-3 - (sqrt(85)\/(sqrt(20)\/sqrt(4) + sqrt(5)) + -2*sqrt(17) + 0 + 0))**2.\nAnswer: -12*sqrt(17) + 217\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57\/(4275\/(-20))*(70\/12)\/(-7)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/72 + (-4)\/(-18). Suppose -q - g - 9 = 0, -3*q + r*g - 5*g - 33 = 0. Let x(n) = -n**2 - 6*n + 2. What is the units digit of x(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*j = 181445, -d + 0*j = 2*j + 60495. Is d\/(-14) + 7 - 1\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(2*sqrt(567))*2)**2 + -2.\nAnswer: -157\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/(44\/40) - -1. Let o be w\/((-9)\/11 - (-10)\/(-55)). What is the second derivative of -o*c + c**3 + 7*c - 12*c wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 8*u**3 - 3*u**2 + 4*u - 4. Let j be g(2). Find the second derivative of -8 + 2*i - 35*i**4 - j*i**4 + 4 wrt i.\nAnswer: -1092*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 6. Let z be d(-3). Suppose -3*w + 12*w = z. Let t be ((-2)\/(-4))\/((-2)\/4). Which is the nearest to 2? (a) t (b) 4\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.1 + 3. Let h = 0.6 + 0.4. Let f = -0.43 + -2.57. What is the closest to h in -0.4, b, f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (310\/(-20) - -5) + (-7)\/(-14).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 6:27 AM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -36*s + 147. Let v be x(4). Solve -5*i - 2 = v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195086 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**4 - j**3\/2 + j**2\/2 = 0.\nAnswer: -1\/2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 8:33 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/5)*b\/(b\/b**4*b))\/((b**6*b)\/b*b\/(b\/((b*b\/((b**(3\/2)\/b)\/b))\/b)))*((b**(2\/5))**(1\/4))**(-2\/9) assuming b is positive.\nAnswer: b**(-389\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3440210 rounded to the nearest 10000?\nAnswer: 3440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r**2 - 7*r + 22. Let g(w) = -22*w + 3. Let b be g(0). What is v(b)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1 + sqrt(42)\/(-2*sqrt(6))))**2.\nAnswer: -25*sqrt(7) + 275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 7 = 47. Let j = h - -31. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -18666, 554, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9179841 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i - 4. Let d(h) = 5*h + 4. Let y(j) = 7*d(j) + 6*w(j). Let k be y(0). Suppose k*q + 35 = 147. Calculate the smallest common multiple of q and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -590.49 + 427.543. Let n = s - -229.948. Let t = -67 + n. What is t rounded to 4 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = v - 9, 0*v = -4*n - v - 19 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 23 + (3 - -6 - 36) + 11\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-196)\/392)\/((-10)\/16*(-2)\/10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 4)\/3*-2. Is 4 - -2*(-141)\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8597 + -5?\nAnswer: 8592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*t - 13, -3*t + 4 - 9 = -p. Let l(q) = -3*q. Let y be l(t). Let o(r) = r**2 - 7*r + 3. Let w be o(y). Sort -5, 0, w in descending order.\nAnswer: 0, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -0.3 (b) -12 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -184 + 183. Let x be (8 - (l + 5))*(5 + -4). Solve 13 = s - 4*o, 3*s = 4*s - o - x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-6\/5))\/(w**(-5)\/w))\/(((w\/w**3)\/w)\/w*w**(-2)*w*w))**(-47) assuming w is positive.\nAnswer: w**(-2303\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 3) to base 5\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 415982*-4.\nAnswer: -1663928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01138974621 to five decimal places.\nAnswer: 0.01139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tvus when four letters picked without replacement from {s: 1, r: 2, t: 2, u: 1, v: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1618?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**5\/6 - 1706*v**4 - 204118*v**3\/3 - 2018728*v**2\/3 + 272160*v + 8156800\/3 = 0.\nAnswer: -10196, -20, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41386127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from wpjsmcmwj?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1897.043 to the nearest integer.\nAnswer: 1897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000153078 to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 736\/896 + (-6)\/8?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 164 and 0.05?\nAnswer: 8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-145) + ((-215)\/(-25) - 9)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 114055 = 114055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 15 - 3 = 0. Which is greater: 4 or m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**5\/40 + n**4\/6 + n**3 + 3. Let c(m) be the third derivative of l(m). What are the prime factors of c(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 26*d + 30 = -23*d, -9*d + 30 = -5*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 546b05e?\nAnswer: -546b05a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k + 10. Suppose -7 = 4*w + 1, -2*l + 4*w + 2 = 0. Let m be z(l). Let y = 27 + -26.7. Which is the nearest to 0.2? (a) m (b) -2\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -2*x**3 + 0*x**4 + 42 + 0*x + 19\/5*x**5 + 0*x**2. What is the third derivative of b(q) wrt q?\nAnswer: 456*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 167450.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*h - 3*l - 192, -3*l - 45 = -h. What is the smallest common multiple of 7\/(21\/h) + 2 and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 23*j - 3. Let n(p) = -7*p + 38. Let k be n(7). Let l be g(k). Suppose -d = l - 124. Which is the nearest to 1\/2? (a) 1 (b) 0.3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -7359402.\nAnswer: -5\/7359402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14941853?\nAnswer: 14941853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - (-17030)\/6)*-15600. What is b rounded to the nearest one million?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1027*c + 190*c + 684*c)*(2*c - c - 2*c + c**2).\nAnswer: 1901*c**3 - 1901*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 26 (b) 0.4 (c) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 + 10*w**2 - 28 - 30 + 58.\nAnswer: 5*w**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/23)*p\/(p\/(p*p*p**(1\/6))))**(6\/5))**(-38) assuming p is positive.\nAnswer: p**(-11134\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*n - 2 = 430 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 82 = 7*f. What are the prime factors of f?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8778 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35 + 55. What is the remainder when 51 is divided by (1 + (-44)\/x)\/((-2)\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdpd when four letters picked without replacement from ppdpddd.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 2943 + 1737. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s = -37 + 3. Let p(h) = s*h - h - h + h. Let m(z) = 2*z**2 + 6. Calculate m(p(n)).\nAnswer: 2*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*h**3 + 4*h**3 + h**3)*(-2 - 2 + 1) + 0*h**3 + 4*h**3 - h**3)*(4*h - 2*h + 0*h) to n*h**2 + w*h**3 + j*h + m + q*h**4 and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1754, -3500, -5250, -7010, -8786, -10584, -12410?\n\"Answer: -q**3 + 4*q**2 - 1751*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5598734, -11197357, -16795980, -22394603, -27993226?\nAnswer: -33591849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y - 3 - 470*y**2 - 4*y - 1 + 3*y. Let x be c(-6). What is x rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*s - 143 = 1597. Let b(p) = -11*p + 226. Calculate b(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Determine f, given that 10 - f**3 - f**q - 10 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13120 (base 10) to base 8.\nAnswer: 31500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 58454.35 kilometers?\nAnswer: 5845435000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-14)*q)**(4\/21) assuming q is positive.\nAnswer: q**(-52\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 5*z + 1. Let v be r(2). Sort v, 4, 99, 1, 0.4 in descending order.\nAnswer: 99, 4, v, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 936117.4l in millilitres?\nAnswer: 936117400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3790*t**2 + 65*t**4 - 70930*t + 70930*t - 6*t**3 wrt t.\nAnswer: 1560*t - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3372810186 and -240.\nAnswer: 3372809946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 33960 divided by -3\nAnswer: -11320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1251\/154 + -405\/22. Is -9 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 1\/4, 433, -8, -2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 4*v**2 + 4. Let x be b(4). Suppose -x*k - 20 = -5*k. What is the least common multiple of k and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = 21*a - 1120. Suppose 0 = -2*j + 114 + a. What is the greatest common divisor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -292, -829, -1822, -3415?\nAnswer: -5752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asg when three letters picked without replacement from {s: 1, t: 1, g: 1, a: 1, y: 3}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - t + 7 - 3*t)*(6 - 3 - 1) to k + i*t and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 1)\/(3\/27). Let c = 1 - v. Suppose f = 3*n + 14, -3*n = 2*f - f + c. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 58.42374g?\nAnswer: 58423740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -2\/7 (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/459 - (-3424)\/432.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12144 a multiple of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15964 and 4888?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10\/7, -0.62, 18, 3?\nAnswer: -0.62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -35*y + 358. Let f be w(11). Put f, -0.5, 7, -1\/3 in decreasing order.\nAnswer: 7, -1\/3, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7408, 1, -3, 2, -7, 6, -5 in increasing order.\nAnswer: -7, -5, -3, 1, 2, 6, 7408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 167*m**7\/210 + 157*m**5\/20 + m**3\/3 + 1100*m**2. Find the third derivative of s(o) wrt o.\nAnswer: 4008*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + 1*sqrt(136)*2 + sqrt(136))\/(-2*sqrt(648)) - ((-2*sqrt(1088))**2*3 + -6*1*sqrt(1088)).\nAnswer: -13056 + 430*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, h: 4}. Give prob of sequence hh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**4\/24 - b**3\/2 - 3*b**2. Let s be n(6). Let u be 1\/(-1)*(-1 - -1). Solve -v - s*v - 16 = u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 205032093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 6 = 4*d, -4*d = 4*x - 19324. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 278 - 110. Let v(y) = 10*y**3 - y**2 + 122*y - 248. Let u be v(2). Calculate the greatest common divisor of p and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i - 18 = 0. Let a(l) = -l + 4. Let y be a(i). What is the highest common divisor of 70 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtg when three letters picked without replacement from {t: 1, q: 1, j: 2, c: 2, f: 1, g: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 10*a + 307. Let l = 4760 - 4790. What is c(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.38295 centuries to years.\nAnswer: 5138.295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33 (base 11) to base 16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-92)\/(-6) - (-4)\/(-12). Suppose n - f = -4*n. Let o be (0 - -1)\/(2\/6). Solve -3*u - 2 - 7 = -5*x, n*u = x + o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7437783 to the nearest integer?\nAnswer: 2727","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m**3 - 2*m**2 + 2*m - 5. Let a(j) = 145*j**2 + 3*j**3 - 61*j**2 - 2*j - 81*j**2 + 3*j**3 - j + 6. Give 3*a(i) + 4*n(i).\nAnswer: -6*i**3 + i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6) - (-195)\/45. Suppose -2*a - 30 = -h*m, 3*a + 5 + 15 = m. Put -4, 0.4, 2, a in increasing order.\nAnswer: a, -4, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 702017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 65*r**2 + 596*r + 31. Give k(-9).\nAnswer: 661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**3 - 417 + 417 + 2*t**3 - 5*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6340643?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(3 + 4 - 3)*(4*w + 47 - 47) as p + o*w and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 18*d + 4. Let l be a(-9). Let v = 93 - l. Solve -3*m = -m - v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**3 + 4*q + 0*q**3 - 5 - 7 + 14. Let w(m) = m. What is p(t) - 4*w(t)?\nAnswer: 2*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1\/14, -5, 1, 5?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 156 = -9*p. Suppose 51*u + 13 = p*u. Suppose 3*o + u = 4. Let m(t) = -2*t**3 - 4*t**2 + 2*t + 3. Determine m(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3931 = 2*h - 3933, -6*g - 29 = h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p - 3. Let m be q(-6). Let w be 8\/6*m\/2. Suppose 0 = -w*t + 118 + 52. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-2\/7))\/(n*n**(-12)\/n)*(n\/(n*((n\/n**(3\/5))\/n)\/n))**(-4) assuming n is positive.\nAnswer: n**(221\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -31*y - 434. Let u be r(-14). Let q(v) be the first derivative of -5 + u*v + 0*v**3 + 1\/10*v**2 - 1\/20*v**4. Determine p, given that q(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + q = 111 + 174, 5*r + q + 345 = 0. Let k be ((-5)\/(-9))\/(r\/(-84)). Which is the closest to k? (a) -0.3 (b) 0.06 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*m - 113 + 160 = -177 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 + -4.99. Let g = l + 5.4. Suppose 0 = 2*k - 5*k. Which is the second smallest value? (a) 0.5 (b) k (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 24 - 5*v + 6*v - 11 + 0*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*h - 143*h - 296482 = 1647*h + 1173*h for h.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18\/23 - -172\/161. Let s = -6 - -1. Is s equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.753289 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 0, -350, -5 in ascending order.\nAnswer: -350, -5, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -78038.7408452 take away 5?\nAnswer: -78043.7408452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h = -38*h - 3*x - 7, -5*h - 2*x + 10 = 0. Solve 0 = h*m - 22 + 30 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 AM and 7:38 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/23*f**5 + 460800\/23*f + 464642\/23*f**3 - 1924\/23*f**4 + 0 - 923520\/23*f**2.\nAnswer: 2*f*(f - 480)**2*(f - 1)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1*(sqrt(228) - -1*sqrt(228)))\/(sqrt(60)\/(sqrt(45) - sqrt(5) - sqrt(5))) + (sqrt(152) + -3*3*sqrt(152))\/(3*sqrt(200)).\nAnswer: 22*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -119679, -3 in descending order.\nAnswer: 0, -1, -3, -119679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b89 - ad61?\nAnswer: -a1b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -30. Let o(r) = r - 7. Let c be o(f). Suppose 8 = -2*s - s - q, 2*s + 12 = q. Put -5, c, s in descending order.\nAnswer: c, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1221134 (base 5) to base 6.\nAnswer: 255502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ni when two letters picked without replacement from onnoinnconnn.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 5) in base 6?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-3)\/(-2) - 2). Suppose 0 = -0*h + 2*h + q, 2*w = -h + 7. Suppose 1865 = w*z - z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27132, -27129, -27126?\n\"Answer: 3*v - 27135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71 + -70. Let n be 5 + 1 + k - -4. Suppose 8*b - n*b = 2*w - 4, 0 = -5*b + 4*w + 14. Solve -5*v = -0*j + 2*j + 33, 0 = 2*v - b*j + 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 * 5034.\nAnswer: -161088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*s - 9. Let k(t) = -5*t - 3. What is the remainder when k(s) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*a - 6927*a**2 + 13880*a**2 + 24*a - 6929*a**2 + 1 to b + x*a**2 + y*a and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -3*x + 75, 17*o = -26*o + x - 1117 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, c: 9, y: 2, e: 3, k: 1}. What is prob of sequence ye?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45 - -3651602?\nAnswer: 3651650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 361018*g**2 + 250191*g.\nAnswer: 722036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -723 - -723. Which is the nearest to 15? (a) m (b) 0.1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 1 = 2*k - 6, -4*k + 40 = 4*v. Find the first derivative of k + 5 - 24*p + 7 wrt p.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*-2*2 - (1 + (sqrt(448) - sqrt(448)*-1)))**2*5.\nAnswer: 480*sqrt(7) + 80645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -56422a - -2?\nAnswer: -564228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**3 - 40*t**2 - 45*t + 90 = 0. What is t?\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s + 2. Let o(x) = 5. Let p(t) = -11. Let b(j) = -9*o(j) - 4*p(j). Calculate 3*b(r) + w(r).\nAnswer: -5*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5226909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 3*z**5\/2 - 928*z**4 + 115071*z**3\/2 - 488809*z**2 + 982026*z - 454300 = 0.\nAnswer: 2\/3, 2, 7, 59, 550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 9:36 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232042657 and 7161.\nAnswer: 2387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Put -1\/5, d, 0.1 in increasing order.\nAnswer: -1\/5, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6338*j**2 + 11735*j**2 + 2592*j**2.\nAnswer: 7989*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/((-2688)\/36)*((-4)\/(-3))\/2.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d + 4*t + 660 = 0, 321 = 2*d + t. Calculate the common denominator of 83\/4 and (6\/d)\/(1\/5).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 53820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58393178, -58393188, -58393198, -58393208, -58393218, -58393228?\nAnswer: -58393238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 16*j - 56. Let h be a(19). Let c be (h + 0 + 45\/(-30))\/(-1). Let r = 49.5 - 50. What is the closest to -2 in r, c, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {p: 8, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uojo when four letters picked without replacement from ojuejoppvppjeopep?\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -354*m - 25. Let f(b) = 71*b + 5. Let k(o) = -11*f(o) - 2*s(o). Let w be k(5). Round w to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 - 5*s. Let k be g(-5). Let h = 35 + k. Calculate the highest common divisor of 50 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55162801 times -17?\nAnswer: 937767617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.7415 rounded to 0 decimal places?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-10) + 0 + -1. What is the biggest value in 2, t, -5, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/5? (a) -4 (b) -2\/15 (c) -2146 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -180, -329905, 2 in ascending order.\nAnswer: -329905, -180, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*z**3 + 731*z**2 - 16036 + 17316 + z**3 wrt z?\nAnswer: -6*z**2 + 1462*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3243404114 - 213?\nAnswer: 3243403401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 307 = i, -t + 171 = -2*i + 6*i. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 17 = 5. Suppose 0 = i*b - 629 - 1143. List the prime factors of b.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwjjwjwjwjjwwwwjjjw. What is prob of picking 3 w?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 212590 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g**4 - 35*g**3 - 48*g**2 - 24*g - 4. Suppose 0 = -u - u + 2. Let a = 1 - -4. Let v(n) = n**3 + n**2. Let o(l) = a*v(l) + u*f(l). Factor o(s).\nAnswer: -(s + 1)**2*(s + 2)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (64\/24)\/(50\/450) and -64\/4611.\nAnswer: 4611","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/((-2)\/16 + (-115754)\/(-930000)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 60 = l, 4*l + 4*f + 21 = 165. What is the highest common divisor of 24 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 1:12 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*k**2 - 2*k**2 + 10*k**2 - 2*k**3.\nAnswer: -2*k**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270635 = -2*t - 3*u, 5*t - 614107 = 3*u + 62449. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1535 + 25100. What are the prime factors of r?\nAnswer: 5, 7, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-57)\/(-1463) - 0\/(-2)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 19*u + 9. Let r be (-1)\/(-5) - 504\/(-30). Let d be s(r). Let w = -28 - d. What is the nearest to 2\/7 in 4, w, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76316 - -76321. Suppose 30 = 3*s + 2*s. Solve m*w = -s + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321200508.\nAnswer: 2, 3, 563, 47543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 16*g + 16. Let v be q(-12). Let z = v - -50. Suppose -2*k + z = -20. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2365487 to the nearest integer?\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a = 67*a + 351 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3. Let r(c) be the third derivative of c**6\/24 + c**3\/6 - 821*c**2. Calculate -r(m) + 4*w(m).\nAnswer: -m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/1)\/((-28)\/7 + 8). Let c(i) = i - 7. Determine c(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/(-16)*(-160)\/(-70) + -59.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 657*z + 57173. What is u(-87)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 279 + -324. Let u = -9692707 + 9692662.00053. Let j = u - g. Round j to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2122 - 2024. Suppose 5*w = 3*f - 55, 115 - 7 = 4*f + 2*w. What is the remainder when o is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -6*d + 4. Let v be w(0). Solve -v*k - 9 - 3 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 2*b + 2. Let p be l(-3). What is the greatest common divisor of p and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1040 and 2288?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (2 - 5) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(11\/838) - (-272)\/(-1496). Suppose a*w - 81*w + 13025 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 1 - 16. Suppose -5*s = h*p - 28, -4*s - 37 = -3*p - 0*s. Suppose 14 = 2*g + 4*o, -9 = -4*g - 4*o + p. Solve -g*c = -0*c + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*v - 281*v + 5 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = f + 3*f. Suppose n**5 - 6*n**4 + n**5 + 2*n**3 + n**f + n**5 = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1688193 is divided by 1118.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -939671\/48 - -19575. Let s = 46023 - 736287\/16. Find the common denominator of s and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**5\/40 - 4*j**4\/3 - 35*j**3\/3 - 36*j**2 - 1792*j. Determine p, given that r(p) = 0.\nAnswer: -2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2*(2*sqrt(110) + sqrt(110)) - sqrt(110)))\/(((sqrt(60)*-2)\/sqrt(2))\/sqrt(3)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66539.24 centuries to months.\nAnswer: 79847088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 99, 213, 371, 573?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27.95713953 - 16.\nAnswer: -43.95713953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 462 + -613?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - (0 + -3 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, -33, 1\/6?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 16*r**2. Let w be m(1). Suppose 4*l - w = 2*x, x - 2 = -0*x - 3*l. Let v be (x\/(-8))\/(2\/16). Solve -v*h - 3*f = 5, 2*f = -0*h + 2*h + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -17*c - 1. Suppose 2*y - 3*r = 31, 7*y = 11*y - 2*r - 42. Let u(k) = 2*k**3 - 15*k**2 - 4*k - 31. Let i be u(y). Give o(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 5*r - 58, 5*r + y - 52 = 2*y. Suppose -24 - 56 = -r*k. Calculate the remainder when k is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h**3 - 12*h**2 + h - 155. Is w(20) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-2))\/(-3))\/(1650\/(-44) + 37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 1:51 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 202aee7?\nAnswer: 202aee4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1344 - -1343.93. Let i = 119 + -119.4. Which is the biggest value? (a) -5\/6 (b) i (c) o (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + -33 + 8 + 18.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 2. Let d = 8 + m. Suppose -2 + 9*h - 2 + d*h**2 + 6 = 0. What is h?\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**2\/3 + 175068*d - 1575504 = 0.\nAnswer: 9, 131292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, x: 1, m: 1, j: 3, y: 2}. Give prob of sequence yi.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3 + 66*r - 3 - 64*r. Let x(h) be the third derivative of -149*h**5\/15 - 1505*h**2 - 1. What is x(t(p))?\nAnswer: -2384*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 274 - 176. Let z = 389\/4 - l. What is the closest to -0.1 in -5, z, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*j**5 - 429*j**2 - 2459*j.\nAnswer: 220*j**3 - 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -3. Suppose -3*g + 35 = z*w + 9, 10 = 2*w. Suppose 0 = 3*c - 3*t - 27, g*c = -4*t + 6 + 12. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*u - 32 = -116*u. Let n be (-2)\/(0 + 2) + 96. Suppose n - 363 = -u*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 34*a**2 - 3*a + 22. Let c(p) = -37*p**2 + 3*p - 23. What is 6*c(q) + 7*z(q)?\nAnswer: 16*q**2 - 3*q + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4931 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 4*k - 45. Solve 2*a + 6 = 4*x, a - k*x = 2*a - 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3733 and 30.\nAnswer: 3763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 266 and 14?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 3*p**2 + 187*p + 997. Determine h(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 3*d - 4. Let o(k) = 2*k**2 + 8*k - 11. Let m(i) = -2*i**2 + 20*i - 39. Let c be m(7). Give c*o(q) - 8*a(q).\nAnswer: -2*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -32*i**2 - 170*i - 28. Let t(f) = -3*f - 4. Let j(c) = k(c) - 2*t(c). Solve j(g) = 0.\nAnswer: -5, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190721530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 14. Let m = 0.09 + -6.09. Let b = m - -5.6. What is the smallest value in b, 2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2393*a + 2*a**2 - 251 - 2392*a - 629 - 738 to i + s*a + c*a**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6252, -11322, -16392, -21462, -26532?\n\"Answer: -5070*k - 1182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 6*s**2 + 5*s + 3. Let i be -4*3\/15*-10. Suppose -i + 4 = -b. What is z(b)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137812136 + 70*g**3 - 137812136.\nAnswer: 70*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/(-693)*(-22)\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 654 + -649. Is 2 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oowokoowkkoozkowkzo. What is prob of sequence ooz?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 + 111*d + 523. Let l be x(-5). Let t be 1\/(4 + 11\/(-3)). Suppose -2838 = -t*r - 3*r. What is the highest common divisor of r and l?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**4\/24 - 2*i**3 + 8*i**2 + 2*i + 2. Let z(w) = -w**2 - 3*w - 1. Let t be z(-5). Calculate j(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 470 + 22. Calculate the greatest common factor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-4)*(-3 - -1). Suppose -x*k - a + 86 = 0, 2*a - 56 = 5*k - 7*k. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 13*q**5\/20 + q**4\/4 + 10*q. Find the third derivative of v(z) wrt z.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682\/5789 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 164*r - 46. Give o(-1).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 15*x**2 - 16*x - 4. Let c be h(16). Is 4473\/5 + c\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 10 - 8. Suppose a*r = -3 - 7. Let g = 10 + r. Put g, 0.2, 1 in decreasing order.\nAnswer: g, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -771 + -264?\nAnswer: -a25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 + 263 = -8*c. Suppose -5*v = d - 132, -v + 126 = 4*v + 3*d. Are v and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17.9 - 18. Let k = 0.0449 - -1.9651. Let w = -0.01 + k. Which is the biggest value? (a) u (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79669*m**2*y**2 - 645085*m**2*y - m**2 - 2*m*y + 2*y + 1 wrt y.\nAnswer: -159338*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4 = -3*d, -5*u - 27 = 2*d - 98. Suppose -u*h + 11*h = f - 766, f - 784 = 4*h. List the prime factors of f.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 4:27 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 + 107*s - 1071. What is k(13)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6065 - 6062. Solve -5*q - 7*i + 11*i + 35 = 0, -n*q + 3*i + 24 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00949 to 4 dps.\nAnswer: 0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 436250 divided by 87250?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*x + 37*x - 85. Let v be (-6)\/(-9)*24\/(-2). Put x, -1, v in ascending order.\nAnswer: v, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 4*y**2 - 5*y - 5. What is the remainder when 59 is divided by q(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*c + 193*c = -1053. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10077*s**3 - 19727*s**3 + 26*s - 26*s.\nAnswer: -29804*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 2*k + r - 9, 4*r = 5*k. Suppose 5*m + 40 = 50. Solve -3*s - 4*o - 18 = m*s, -k*s = -4*o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 divided by 37820?\nAnswer: 73\/9455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - -763. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 2942\nAnswer: 5\/2942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = a - 2*k, 3*a + 68*k + 4 = 72*k for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 12 + 0 = 0. Let c = 53 - 23. What is the remainder when c is divided by a*1 + (-7)\/(-28)*12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 137 + -97. Let f = 46 + -30. What is the greatest common factor of p and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 30246 - 66228 = -6*x, 10 = 5*u. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + -691.661.\nAnswer: -692.161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5509602106.63 - 0\nAnswer: 5509602106.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9342 - -112037\/12. Find the common denominator of x and 3\/154.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*o + 2867, 4 = 9*u - 7*u. List the prime factors of o.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p**3 + 2*p**2 - 2*p. Let m be x(-2). Let f = 88 + m. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2288.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19746178 + 2.\nAnswer: 19746180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2*((-3 + sqrt(931)*2 - (sqrt(931) - sqrt(931)*-1*-4))**2 - (((6*(sqrt(931) + -1))**2 - sqrt(931)) + (1*sqrt(931)*-1)**2)) + -2.\nAnswer: -602*sqrt(19) + 22395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14274419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - y + 12 = 0, -2*y - 4 = r - 14. Suppose -r*g = -10*g + 24. Suppose 2*z - 204 = g*d, 0 = -3*d + 7*d. List the prime factors of z.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1241*h + 2058. What is the remainder when n(-10) is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.68 - -22.98. Let d = 8.761 + 0.039. Let u = k - d. Round u to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, r: 18}. Give prob of sequence rrjr.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 10 = d + 2*s, -s - 4 = 0. Let i be ((-3)\/d)\/((-4)\/12). Let y = -5 + 0. Which is the second smallest value? (a) y (b) -0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 less than 0.098737?\nAnswer: -102.901263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/2)\/1*4. What is the second derivative of w**3 - 14*w + 7*w - x*w - 7*w**3 wrt w?\nAnswer: -36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 + 1182987*w - 122.\nAnswer: 1182987*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9001396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1571 - -694. Suppose z = 5*w - 0*w + 4*r, -2*w + 906 = -r. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of q**6\/30 + q**5\/10 - q**4\/4 + q**3 - 2889*q**2. Let l(d) = 11*d**3 + 17*d**2 - 17*d + 18. Determine 17*j(n) - 6*l(n).\nAnswer: 2*n**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*x**3 - 82*x**3 + 30*x**3 - 18*x**3.\nAnswer: -107*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1482*x - 7. Let p = -405 - -415. Is k(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-22)*(-24860)\/(-50850)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.811369538 plus 5?\nAnswer: 7.811369538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u. Let j(i) be the first derivative of 0*i**2 - 276 + 0*i + 34\/3*i**3. Calculate p(j(y)).\nAnswer: -34*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxk when three letters picked without replacement from {x: 1, k: 7, l: 2}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -198545885371 - 0.2\nAnswer: -198545885371.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (-488)\/(8\/2). Let j = -127 + x. Sort -5, -1, j.\nAnswer: -5, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*(-18)\/(-2430))\/(2\/(-18))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1260535\/97 + -12995. What is the common denominator of v and 17\/10?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -14503511?\nAnswer: 14503506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttcc when four letters picked without replacement from {t: 6, c: 4, l: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -97*l + 2. Let o be h(-1). Let t = o + -35. Does 24 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 457857 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Let v = 0.012 - 0.015. Let b = v - r. Round b to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1799933 and 8999665?\nAnswer: 8999665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 205512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 232.59 - 234. Let a = -0.9 + 0.87. Let n = a + u. What is n rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 - 17*f + 23. Suppose 2*y + 8 = -w - 4, -5*w + 6 = -y. Let q(i) = -i**2 + 6*i - 8. Determine y*n(m) - 17*q(m).\nAnswer: -m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 - -10. Let c be j\/25 - 57\/(-15). What is the second derivative of 14*v**3 + 12*v - 14*v**c - v**5 - 2*v**5 wrt v?\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 170352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 498 divide 38044212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9740\/7 + -195353\/140. Calculate the common denominator of -97\/40 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/7*(8\/20)\/(-2). Which is the nearest to y? (a) 4 (b) 11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25777667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3) + (5 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.447 + 9.853. Round i to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = z - 2*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 400250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 169, -4, -4\/5 in increasing order.\nAnswer: -4, -4\/5, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*r**2 + 0*r**2 + r**2)*(4 - 3 + 1) + 85*r + 106*r - r**2 - 174*r)*(2*r - 3*r + 2*r).\nAnswer: -5*r**3 + 17*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5788909 and 1680651.\nAnswer: 52100181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 11*w**2 + 1. Let h(v) = -31*v**2 - 3*v - 442. What is -h(u) - 3*m(u)?\nAnswer: -2*u**2 + 3*u + 439","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - ((2*sqrt(121)*5 - sqrt(121)) + sqrt(121)))\/(-2*sqrt(11)*1).\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7458 is divided by 576?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15261167 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 28 = 3*t, -81 = -2*t - 5*i - 58 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22724 and -0.1.\nAnswer: 2272.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10889, 10891, 10893, 10895, 10897?\nAnswer: 10899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -g - 2*g. Let j = -6 - -12. Let w be (40\/(-6))\/((-2)\/j). Solve -g*i + w = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 4. Let m be w(3). Let v be (-32)\/8 - (m - 11). Solve n = v*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**1)*m*m)\/m**(-18)*m**(15\/2)\/(m**(-2\/31)*m) assuming m is positive.\nAnswer: m**(1709\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26932 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (13 - (-2 + 5 - 2))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.07, -1\/30, 0.4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-590)\/(-2 + 12))\/((-4)\/2404 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, n: 6, r: 10}. What is prob of sequence nn?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -8*k**3 + 5*k**2 - 5*k. Let z(d) = 7*d**3 - 6*d**2 + 6*d. Determine 6*g(c) + 5*z(c).\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i**2 + 4*i**2 - 2*i**2)*(i - 5*i + 2*i)*(-7 + 2 + 2)*(2*i - 4*i + 0*i) to u*i**2 + x*i**3 + o + p*i**4 + n*i and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d + 44*d - 50*d + 42*d**3 - 103*d**3.\nAnswer: -61*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87377 + 87447. Suppose 5*k - 216 = -2*h, -88 = -4*k - 2*h + 86. Calculate the greatest common factor of r and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9855?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 886, 3026, 6428, 11092, 17018, 24206?\nAnswer: 32656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 598 = -78. List the prime factors of (-6)\/(-27) + c\/18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 2*m - 4*m)*(6434 - 426 + 7914 + 4860 - 4812) to the form s + r*m and give r.\nAnswer: -13970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 4 - (-30 - (-4 - -9))?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*j**4 + 45317*j**3 - 8*j**2 + 136311 wrt j?\nAnswer: 456*j + 271902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -155*r**2 - 48 + 48 - 128*r**2.\nAnswer: -283*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2\/7 + 163*i\/7 - 330\/7 = 0. What is i?\nAnswer: -165, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -36770 (base 14) in base 15?\nAnswer: -296dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 231*x**2 + 2043*x - 9994. What is q(222)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -120 - -117. Let j be 2*(k + 2 - -2). What is the second derivative of 26*s + 9*s**j - 56*s**2 - 13 + 13 wrt s?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2691 (b) 1\/6 (c) 110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45371\/2684 smaller than 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5*b = 2*m - 749, 3*b = -9. Let w = -103 + m. Let u = 203 - w. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37233618?\nAnswer: 2, 3, 37, 367, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-6))\/(52\/(-16)). Put -4, 0.5, y in increasing order.\nAnswer: -4, y, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.245 - 210.755. Let b = 210.9 + n. Which is bigger: b or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 3:53 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 27644.78219?\nAnswer: -27644.78219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-216)\/378*525\/(-12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/12 + 1005\/(-12). Let z = n + 41. Which is greater: z or -44?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 3. Let u = 0 + 0. Let n = p - u. Which is the smallest value? (a) 1\/4 (b) -2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84\/113 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*s + 5*q, 9*s - 6*s + 9 = -4*q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - -73. Let o(j) = -2*j**2 + 141*j + 16. What is the least common multiple of u and o(0)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1868 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - x - 2 = 5*x + 3*x, -3*p - 3*x - 12 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -401, -1192, -1985, -2780, -3577, -4376, -5177?\nAnswer: -5980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9560\/3 - -3186. Let b be 0\/(-8) - (-2 - -7). What is the nearest to d in -2\/5, 4, 2\/9, b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) 253\/13 (b) -0.5 (c) -2 (d) 4 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 21 + -27 + 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1295 = -23*x + 30*x. Suppose -x - 82 = -3*k. What is the remainder when k is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 36205811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20596 - 2.\nAnswer: 20594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -51 + 13. Let n = h - -31. Let g(z) = -z + 2. Give g(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*m**2 - 2 + 15*m**2 - m + 4*m + (2 - 2 + m)*(2*m + m - 2*m).\nAnswer: 2*m**2 + 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -4*w. Let d be w - (1 - 1 - 3). Solve 2*b - d*m + 8 = 0, -14 = -2*b - 3*m + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -720*c - 182*c + 2*c**2 + 0*c**2 - c**2.\nAnswer: c**2 - 902*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15503?\nAnswer: 37, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-1 - -2) - 0. Let t(j) = j**3 + 11*j**2 - 14*j - 14. Let y be t(-12). Suppose l = f - y - 72. Does 26 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -18, -1, 5\/4, -111, 0.\nAnswer: -111, -18, -1, 0, 1\/5, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 430885800.\nAnswer: 430885800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 3)*(-6 - 3 + 4)*(7*p - 6*p - 6*p).\nAnswer: -75*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 0*m - 88*m)*(2*m**3 - 5*m**3 + 4*m**3).\nAnswer: -92*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 5\/3)\/((-55)\/(-1320)). Suppose 22*h = k*h + 1206. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 2:36 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmzzzgmzzgmgm. What is prob of sequence mggg?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = j + 303, -f + 2*j + 37 + 44 = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -11*w. Let u = -1258 + 1263. What is b(u)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 - (-4 + 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wawaxrwxarawjw. What is prob of picking 3 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2184692 divided by -4.\nAnswer: -546173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(819\/18))\/((-12)\/(-14)*(-4)\/(-30))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39713 - 3334. What is the ten thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 280 (b) 8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 442\/170 + (-3)\/5. Let p be -1*w - (-3 - (6 + -5)). Solve p*g - 1 = -11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2359089783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 159514, 1, 10, 3.\nAnswer: 1, 3, 10, 159514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-5 - (8 - 4)). Let z be (50*2)\/(w\/(-12)). Let s be (13 - (2 - -1))*z. What is s rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10, -21, -30, -37?\n\"Answer: h**2 - 14*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Suppose -z*i - 1 - 1 = 0. Let o = -0.2 - -0.3. Which is smaller: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**2 + 6*l**2 + 4 - 2*l**2 - 5*l. Let k be r(1). Suppose k = -8*p + 189 + 1115. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003626 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 52161*y - 1982107. What is a(38)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2747628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/((k**(2\/3)*k*k)\/k))\/k))**2\/(k\/(k**(-3)\/k)*k*k*k*k**(-1\/4))*(((k*k**(-1)\/k)\/k)\/k*k)**(-20)*(k*k**(-4))\/k**(-2\/23) assuming k is positive.\nAnswer: k**(9569\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254624305.\nAnswer: 5, 13, 3917297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1970321 and 115538?\nAnswer: 115537.8029679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -291\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1173 (base 13) to base 2\nAnswer: 100110011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (71270\/14)\/((-382)\/(-2674))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5544 = -25*x + 5494 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2403 is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10758*l**4 + 2808*l + 1.\nAnswer: -129096*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 157*o**2 + 7412*o - 461. Give y(195).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, o: 1, b: 4}. What is prob of sequence yy?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 13*n**2 - 13*n + 42. Let l be v(-7). Which is greater: l or -178?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-1) - (3 + 116). What is the common denominator of 4\/(-32)*(2 - j) and -46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-110)\/14025*(-8840)\/(-10).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5553.89 grams to nanograms.\nAnswer: 5553890000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w - 19. Suppose 5*v + 20 = 0, -v + 16 = -3*h + v. What are the prime factors of q(h)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**2 - q**4 - 2 - 1 - 34*q**5 - 18*q**5 + 1 wrt q?\nAnswer: -3120*q**2 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 85217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (5 + -2*(2 + sqrt(180)) - (sqrt(180) + 4*(-1 + sqrt(180)) - (sqrt(180)*1 + 4 - sqrt(180)))))**2.\nAnswer: -924*sqrt(5) + 8941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -385a146 + 4?\nAnswer: -385a142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.914 to one dp.\nAnswer: -14.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -1\/45, 1.3, 0.2, -0.3.\nAnswer: -6, -0.3, -1\/45, 0.2, 1.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18462960 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 - 9*t + 7. Let y be u(8). Let o be y\/(-1) + 0*1\/(-5). Solve -4*w - o - 7 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-204)\/(-408)*(2 + (-1)\/((-2)\/(-4)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-1))\/(998568\/1656).\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**5 + 5*k**5 - 2*k**5 + (k**4 + 0*k**2 + 0*k**2)*(-k + 5 - 5) - 5*k**5 - 6*k**4 + 6*k**4.\nAnswer: -7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -4*i - 6. Let m(c) = -c - 1. Let o(v) = 3*m(v) - x(v). Suppose 0*f = 4*f + 24. Let t = 4 + f. What is o(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**5\/20 + t**3\/6 + 8*t. Let m(f) = 5*f**3 - 4*f. Determine m(j) + 4*v(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010113018971 to 5 decimal places.\nAnswer: 0.01011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3 - 5320*n + 5323*n + 3. Let b(o) be the second derivative of 0*o**2 + 0 - 6*o - 7\/6*o**3. Calculate x(b(f)).\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + 4*i - 1239. Give l(-37).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*b - 2 - 35*b - 52*b + 18*b + 3*b - 4*b + 2*b + (3 - 1 - 1)*(-2*b + b + 2*b) + 0*b - 3*b + b)*(b**3 + b**3 - 9*b**3).\nAnswer: 462*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 bigger than -1038\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14000 and 784?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30002131300 + -2?\nAnswer: -30002131302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(1872)*3*-2.\nAnswer: -72*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/2, -1\/6, -1\/4 in descending order.\nAnswer: 1, -1\/6, -1\/4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 greater than 2861\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106563093?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25321 or 23744?\nAnswer: 23744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 125081048 and -0.03?\nAnswer: -3752431.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 67239584?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7412789940?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-48)*(-12)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 393533*f**2 + 196669?\nAnswer: 787066*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 228741721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 173734 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 23 - 27. Let k(z) = 3*z**3 - 3*z**2 + 2*z - 33. Let y be k(i). What is the highest common divisor of 7 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -346*a**3*t*z + a**3*z**2 - 200*a**2*t + a**2*z**2 - t*z**2 wrt a.\nAnswer: -2076*t*z + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -228051504.9999927 - -228051484. Let n = -0.046 + -20.954. Let i = n - a. What is i rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*h - 3*u = 125*h + 21, -24 = -4*h + 4*u - 0*u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r + 6*r - 18*r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4092100848?\nAnswer: 2, 3, 11, 43, 73, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -313 - -313. Let l(i) be the third derivative of 0*i**4 - 10*i**2 + 0*i + 13\/120*i**6 + 0 + 2*i**3 + x*i**5. Differentiate l(j) with respect to j.\nAnswer: 39*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -27. Suppose 4*n + j - 92 = 0, n - 2*n = j - 23. Let i = n + y. Solve 2*x - d - 11 = i*x, x - 3*d = -2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 105*b**2 - b - 1. Let n be h(1). Suppose n = t - 70. Suppose -2*a + 817 = 3*a - 4*k, -a + t = -4*k. List the prime factors of a.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 0 - 1\/3*j**3 + 0*j**4 - 1\/30*j**5 + 0*j - 4*j**2. Differentiate v(p) wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 30 - 30 - 15*v. Let b(r) = -r. Calculate a(b(h)).\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 4*v - 6, 5*r + 5*v + 31 - 6 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 6 = 14, r = 2*u + 29. Let c be -4 - u - (2 + 1). Suppose -4*d + c = 2. Solve 5*i = 5*z, 2*z = i + 3*i - d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -263164*q*z + 2*q + 44822 wrt z.\nAnswer: -263164*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44451797?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/11)*s)**(3\/7) assuming s is positive.\nAnswer: s**(3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/320 and -151\/7800.\nAnswer: 62400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 21*g - 1248. Let i = -391\/5 + g. Which is the smallest value? (a) i (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n - 4. Let v(l) = 8*l - 18. Let j(g) = 9*a(g) - 2*v(g). Let k(u) = -46*u - 2. Calculate k(j(x)).\nAnswer: -92*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 7*o - 12. What is l(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.04 (b) -8 (c) 71 (d) -1\/5 (e) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000455826 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 212711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-252)\/(-1)*8\/(-16)*(-30 - -28). What is the highest common divisor of 96 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 13 = x + 5*i, -5*x + 15 = -i. Suppose 4*l - 2*l - x*h = -8, 5*h - 13 = l. Let k(q) = l*q + q + 2 - 4*q. Calculate k(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ce45f (base 16) to base 11\nAnswer: 527867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.1 (b) 0.3 (c) 1 (d) -12 (e) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -130 + 0 + (-4 - -6). Let v = j - -241. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from znnnnznznnzz?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 18*a + 2 = 17*a, 0 = 5*a - 20 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 9570*j.\nAnswer: -5*j*(j + 1914)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, x: 6, a: 1}. What is prob of picking 2 x and 2 w?\nAnswer: 45\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 80 = 14*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -24, -103.3, 4?\nAnswer: -103.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1, 122, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -3 (b) -58 (c) 4\/19 (d) 2 (e) -1 (f) 3 (g) -33\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -1.27961.\nAnswer: -0.511844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 67 = 2*y, -y = -2*v - 27 + 43 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-392)\/(-203) + 8\/116. What is the derivative of 257 - 2*q**2 + q + 0*q + s*q - 6*q wrt q?\nAnswer: -4*q - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 11*m + 4*g - 104, 4*g - 40 = -m. Let z be m\/((-9)\/(-2) - 5). Find the common denominator of -85\/14 and -3 - (0 - 12\/z).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 25 + (25 - -12)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 0 - 15. Let b = 7 + -15. Let t be 5\/(-2)*b\/10. Solve -l*q - 3 = -t*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 72018332, 144036662, 216054992, 288073322, 360091652?\n\"Answer: 72018330*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 3*n + 4. What is the units digit of 1 - -2 - (-1 - n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f + 10. Let m be a(-4). Suppose -m*t = 4*l + 2*t - 60, -l = -4*t. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/2)\/(-1))\/(2940\/588)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10005 or -10008?\nAnswer: -10008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = a + 9, -5*a + 2*s + 7 + 2 = 0. Suppose -3*g + r + a = 0, 3*r - 9 + 6 = 3*g. Calculate the remainder when 3 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -8*g**3 - 3114*g**2 + 5473*g - 385. Determine d(-391).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from {p: 1, v: 1, d: 1, b: 1, l: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/23 (b) 14 (c) -0.4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25)\/5*(1\/(-30))\/((-136)\/1632)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*(0 + sqrt(5)) + (sqrt(5) - (sqrt(245) + sqrt(245) + 0)) - sqrt(10)\/(sqrt(2) + sqrt(8))*-2) + 4)*-1)**2.\nAnswer: -248*sqrt(5)\/3 + 4949\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18438802, 18438808, 18438814?\n\"Answer: 6*o + 18438796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 - t**2 + 6*t + 43. Give p(-3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x - 128. Calculate the remainder when 24 is divided by w(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 720, 347, -644, -2559, -5704, -10385, -16908?\nAnswer: -25579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*n + 3*j, -3*n - 31 = 8*j - 3*j. Let h be (n\/14)\/(1\/(-34)) + -2. Solve -3*r - 5*l = 11 + 4, -2*r + 5*l + h = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 8:39 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 215445 (base 6) in base 9?\nAnswer: 26742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 6*d - 596332. Let v = -210166 - d. Round v to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5122 (base 13) to base 3.\nAnswer: 120100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/9)\/((-8)\/(-12)). Suppose n*u + 7 = 11. Solve -5*m = 5*h, -4*m = h + 14 + u for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 248042 and -4.\nAnswer: -992168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/10 + -11\/20. Let p = -4.964 - 0.036. Which is the closest to 0.1? (a) g (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*g - 45, -5*g - 2*m + 2 = -13. Suppose 0 = -g*j - 3*o + 29, -5 = 3*o + 1. What is the remainder when 27 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 18. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 420*t**2 + 418*t**2 + 28*t**4 - 3*t**3 + 7*t + 2 - 837*t**2 - 27*t**4 to u*t**2 + b + g*t**3 + x*t**4 + o*t and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2405 - -7\nAnswer: -2398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1394904 and 1031016.\nAnswer: 23713368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63299.\nAnswer: 63299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7.8 (b) -33.2 (c) 11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -154 + 163. Calculate the smallest common multiple of (-3)\/9*-681 + -1 + -3 and y.\nAnswer: 2007","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -253107, -506073, -759039, -1012005, -1264971, -1517937?\n\"Answer: -252966*o - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3 - 6*x - 2*x**3 + 6 + 3*x**3 - 5*x**2. Suppose 24 = -17*j + 19*j. Let t be (24\/22)\/((96\/44)\/j). Calculate k(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -160942\/13 or -12379?\nAnswer: -160942\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2432 (base 5) to base 7\nAnswer: -1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**9\/d**(-3\/11))\/(d**3)**(2\/61))**(-31))**12 assuming d is positive.\nAnswer: d**(-2290032\/671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(32\/43) - -3. Let h = 117\/56 + x. What is the third smallest value in -3\/5, 0.1, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 598 = 20*u + 446 - 1288. Calculate the remainder when 730 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -11*w - k - 24, 8 = 3*w - 5*k for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1980660395 to the nearest integer?\nAnswer: 1256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 955 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68921\/127 or 543?\nAnswer: 68921\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36380.09 - -36031. Let f = n - -349. Sort -0.5, f, 3.\nAnswer: -0.5, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52 - 2274704?\nAnswer: -2274756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1008438 by -6.\nAnswer: -168073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**8\/336 + 2*c**7\/105 - c**6\/40 + 2*c**2 + 23. Let o(k) be the second derivative of f(k). Factor o(j).\nAnswer: -j**3*(j - 3)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 471 - 469. Find l such that 26\/11*l - 4\/11 - 26\/11*l**c - 56\/11*l**3 = 0.\nAnswer: -1, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kekek. What is prob of sequence ekk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -8. Let r be (-21)\/(-9) - 8\/(-12). Suppose r*w - 9 = -12. Is w greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(16\/7)*g*g**(-1\/11))\/((g*g**(-6))\/g*g**(-2\/9)) assuming g is positive.\nAnswer: g**(6526\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*m = 13787 + 39673. Calculate the lowest common multiple of 351 and m.\nAnswer: 11583","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.3776298 grams?\nAnswer: 377629.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50015 + d**3 + 12503 + 12500 + 12518 + 12494.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -242*p + 3. Does 36 divide f(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/52 greater than or equal to 15.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 165004 divided by 6\nAnswer: 82502\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 5*h**2 - 9*h - 7. Let o(s) = 2*s**3 - 7*s**2 - 13*s - 10. Determine -5*o(n) + 7*q(n).\nAnswer: -3*n**3 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*t + 8. Suppose -23 = -t*m + 9. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -764 > -710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -15313390 divided by -5\nAnswer: 3062678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -5*d - 14, -1553*k + 1556*k + d - 20 = 0 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 12188, 9, -9 in ascending order.\nAnswer: -9, 9, 12188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 12*y - 281 + 325 = 0, -y = 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (9 + (0 - 0))\/((-24)\/(-352))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 5*z - 10. Let m be p(-5). Suppose 4*l = h + 111, 4*l - 26 - 84 = 2*h. Let a = m + l. Calculate the smallest common multiple of 6 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-75)*90\/(-25)*30\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 293678 + -293678.3. Let w = -33.7 + 36. Let q = w + -2. Which is the nearest to k? (a) 5 (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 7 + (-9 - -8) + 6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -0.5, -492, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(140*u - 147*u + 283*u).\nAnswer: -552*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = -2*k + 16, -r + 3*k = 9. Let l = r - -2. Let d(g) = 9*g + 2. What is the least common multiple of d(2) and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((((u\/(u*u**5)*u*u)\/u)\/u)\/u))**(-27) assuming u is positive.\nAnswer: u**(-189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 190571.4507 + -10997195266.4507. Let j = 10997004588.99999886 + b. Let m = -106 - j. Round m to 7 dps.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 17 - 16. Suppose -f - 5 = 0, 2*z + 2*f = -0*f. Suppose 16 = 4*n + n - 4*p, p + 4 = z*n. Which is the closest to i? (a) n (b) 5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2313 + -4. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + (4 + sqrt(500))**2 + 3 + -2 + 0 + (sqrt(500) + 3 - sqrt(500))).\nAnswer: -2072 - 320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*x + 0*x - 1 = 0, 5*j = -5*x + 55. Suppose -87 = -6*l + 57. Let t = l - 17. Which is bigger: t or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 734*k**3 + 12*k**2 + 4*k - 7. Let a be q(-8). Let x = a + 257079. Round x to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15435 and 25725?\nAnswer: 77175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j**3 - 72*j**2 - 121.\nAnswer: 9*j**2 - 144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3465.67ng to milligrams.\nAnswer: 0.00346567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 567 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1006.06 + -995. What is b rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 45*b**2 - 159*b + 1803. Calculate h(-49).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2. Let k(s) = s - 4. Let g(m) = -5. Let w(q) = 4*g(q) - 5*k(q). Calculate o(w(r)).\nAnswer: 50*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of 0*l**3 + l**2 + 0 - 2*l + 1\/4*l**4. Find the first derivative of r(i) wrt i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -480.5014 - -6.890424.\nAnswer: -473.610976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-5 - 1) + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**16*f**(-8)*f**(2\/27)\/(f*f\/(((f**(-5\/8)*f)\/f*f)\/f*f)*f) assuming f is positive.\nAnswer: f**(1177\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 13*a - 30. Let c be k(-15). Suppose c = -4*u - 3*y - 684, -2*u = y + y + 342. Let q = u + 334. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2249344093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1596 + 1596 - m**2 - 8*m. Calculate r(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**1)\/z*z*z\/z**(2\/7)*z**(3\/5)*z*z**3)\/((z**(-3\/8)\/(z*z\/(z*z\/z**3)*z))\/((z\/(z**7*z))\/z**4)) assuming z is positive.\nAnswer: z**(193\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**5\/2 + 1761*d**4 - 1084959*d**3\/2 + 14979144*d**2 - 73331544*d + 58893120 = 0. Calculate d.\nAnswer: 1, 5, 24, 572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppc when three letters picked without replacement from ceecpepnepeec?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/((-180)\/(-27))*(-8)\/(-3). Solve w*k - 12 + 20 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 + 19.8. Let a = 4.0507 + -4.2507. What is the third biggest value in 4, 0.1, a, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419415 to the power of 1\/2, to the nearest integer?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q + 11. Calculate h(21).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/13, 432.5, 5, -2\/87, 0 in decreasing order.\nAnswer: 432.5, 5, 0.1, 0, -2\/87, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 10:37 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + h. Let g(k) = -12*k**2 + 10*k. Let x(s) = -g(s) + 10*z(s). Let f(t) be the third derivative of -t**4\/6 + 2*t**2. Determine x(f(p)).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1070848 divided by 256.\nAnswer: 4183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 + n - 16. Let m be v(4). Suppose c - m = -3*c. Let d be (-8)\/32*(1 + -13). Solve -5*s = -d*a + 20, -c*s - 20 = 5*a - 2*a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*l - 20 = l, r - 3*l = -8. Let i = -2\/125 + -486\/875. What is the smallest value in -2\/13, i, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3\/h)\/h**(-3)*h**3*h\/h**(4\/3)*h*(h*h\/(h**8*h))\/h**(4\/5)*h**1*h*h**(1\/2) assuming h is positive.\nAnswer: h**(101\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19544083 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/1711 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0 = 2. Let n(p) = 6*p**3 - p**2. Let f(t) = 5*t**3. Determine s*n(a) - 3*f(a).\nAnswer: -3*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 107 and 155.\nAnswer: 16585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l**2*q**3 - 4834*l**2 + 5*l*q**3 + 252*l*q - l - q wrt l?\nAnswer: 6*q**3 - 9668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 - 4)*(0*c + 7*c - 2*c).\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 37 - 55 = 0. Solve -g = 3*p - 0*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13233303 - -100?\nAnswer: 13300003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -484, -725, -956, -1171, -1364, -1529, -1660?\nAnswer: -1751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2042338 or -4084673\/2?\nAnswer: -2042338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 80*l**4\/3 + 665*l**3\/6 + l**2 + 554*l. What is the second derivative of b(w) wrt w?\nAnswer: 640","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 220002?\nAnswer: -220002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 8*s - 2. Suppose -29*w = 176 + 85. Give c(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 22*p + 71. Let v be b(-18). Is v bigger than -0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2\/11 (c) -15 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*v + 62. Suppose -164*m + 166*m = 4. Suppose -m = -v*q + 10*q. Solve q = -w - 0*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 10 = u, u = 5*g + 9*u - 30*u - 51 - 13 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120.16 times -14?\nAnswer: 15682.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v - 1 + 10*v - 1 + (-3*v + 3*v - 2*v)*(-2 + 1 + 2) to z + t*v and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0142 + 0.0142. Put g, 5, -0.3 in increasing order.\nAnswer: -0.3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 25 = -10*m, 3*w + 35*m = 33*m - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 6)*(-12*v + 5 - 6 + 31*v)*(21 - 35 - 21)*(0 + 1 - 6*v + 4*v).\nAnswer: 2660*v**2 - 1470*v + 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 3:47 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2556 (base 7) to base 3\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29320046*d**4 - 2383*d**2 - 8978*d wrt d.\nAnswer: -703681104*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -201024 (base 5) to base 14\nAnswer: -2485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -85 - 1190a3?\nAnswer: -119178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-264)\/220)\/(((-45)\/(-50))\/9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/126*5\/((-20)\/8)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-2 + 5 + (-2 - -3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3712 and 301136?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 2. Let j be c(-2). Suppose j = -8*r + 32. Let s(i) = 4*i**2 + 1. Let o be s(-1). Solve -o*h - r = 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1865500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 - (-37 + 52)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.4 (b) 2\/3 (c) -343 (d) -6 (e) 89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -644, -1309, -1990, -2693, -3424?\nAnswer: -4189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*t + l, 3*t - 4*l - 63 + 67 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 90a9016 - 6?\nAnswer: 90a9010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58 + -292\/5. Let j be 4\/(-8) - (-22)\/4. Let d = 1.1 + -1. Sort i, j, d.\nAnswer: i, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 18*u**2 - u - 1. Give g(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 2) + (1 + 44)\/3. Suppose m = 2*y - 40. Solve -3*x = -8*x + 4*q - 8, 3*x + 5*q = -y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 692\/9 + 2426\/9*b + 14\/9*b**2 = 0.\nAnswer: -173, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*o**2 - 27*o**2 - 19*o**2.\nAnswer: -93*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h = -30*h - 16. Suppose -4*l - n = -11, 5*l - 5*n - 14 = 2*l. Find the second derivative of -h*x**l + 2*x**3 - 16*x - 9*x + 21*x wrt x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, i: 13, u: 2}. What is prob of picking 1 v and 1 u?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 + 5*k**2 - 5*k**2 + 0*k**3 + 3*k**3 - k**3 + 84*k**2 - 84*k**2 + 2*k**3 + (0*k - k - k)*(2*k**2 + k**2 - 4*k**2).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-3)*6\/(36\/6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1775*p + 532*p + 2274*p.\nAnswer: 4581*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -15, -2*d - 2*d - 2*t = -14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) 2 (c) -2\/73 (d) -8 (e) 168\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -2092?\nAnswer: 2097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2177*w + 4218*w + 1621*w - 1549*w.\nAnswer: 6467*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 60\/24 - (-1)\/2. Find the second derivative of 0*b**3 + b**3 - 6*b**3 - 3*b + 2*b**w wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + u + u)*(4 - 5 + 5)*(-4*u + 0*u + 2*u).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.184 (b) -0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -2)\/(-3) + 1\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*a**3 + 11*a**3 - 36*a**3.\nAnswer: -70*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide (18\/(-42))\/(-3 - ((-269115)\/(-67277) + -7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/74 and 49\/148.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 11) to base 3\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1956\/(-1141))\/(4\/(408\/(-17))).\nAnswer: 72\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(117) + sqrt(117) + -6*(sqrt(117) + 1*sqrt(117)) + sqrt(117))\/(3*sqrt(324)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(2\/15))*o\/(o*(o\/o**8*o)\/o))**8 assuming o is positive.\nAnswer: o**(856\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c3 - 27742?\nAnswer: -27935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**7\/840 - x**6\/120 + x**5\/60 - x**3\/2 + 8*x**2. Let j(m) be the first derivative of u(m). Determine j(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -270629949*i**3 + 55*i**2 - 947*i + 543 wrt i.\nAnswer: -1623779694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-1\/7)\/r)\/(r*(r*r**(1\/10)*r)\/r))**41)**(3\/17))**(-41) assuming r is positive.\nAnswer: r**(1144761\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 2*s + 2. Let i be x(-2). Differentiate -4*y**i + 1 + y**2 - y**4 + 3*y**2 wrt y.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -2\/35, 2?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/(-120))\/((4\/10)\/2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eb3 (base 16) in base 14?\nAnswer: 152b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 17, 9, 1, -7?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 0*o**4 + 0 + 0*o**3 + 29*o**2 + 64*o - 37\/10*o**5. Differentiate b(q) wrt q.\nAnswer: -222*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**5 - 315*j**4 + 3870*j**3 + 35640*j**2 = 0.\nAnswer: -6, 0, 33, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**4 - 2*j**2 - 2*j. Let o(z) = -5*z**4 + 670*z**2 - 2*z + 158. Let h(m) = o(m) - 3*w(m). Find the second derivative of h(k) wrt k.\nAnswer: 12*k**2 + 1352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - h**2 - h. Let t(v) = -6*v**3 - 18*v**2 + 5*v + 1. Determine 5*l(p) + t(p).\nAnswer: -p**3 - 23*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201968042.\nAnswer: 2, 3209, 31469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/7))**28*(y\/(y\/(y**(1\/5)*y)))\/y**(-25) assuming y is positive.\nAnswer: y**(111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, u: 1, r: 1}. Give prob of picking 1 u and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 11121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*o + 48. Let u = o - 7. Let r(q) = -q + 12. Let j be r(u). Solve 2*n - m + j = n, -m = n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2399 is divided by 86?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**3 + 2*n**2 + 5*n + 5. Let r(z) = z**2 + 4*z + 3. Let p be r(-4). Let d(m) = -2*m**3 + m**2 + 3*m + 3. Calculate p*v(c) - 5*d(c).\nAnswer: c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4351\/18 + -47825\/198. Solve l*i**2 - 12\/11*i + 0 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 517584 and 768.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2510233?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 51, -1684, 0 in descending order.\nAnswer: 51, 0, -3, -1684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 4*z - 80, -w - z = 4*w + 104. What are the prime factors of 1\/3 + (-119)\/w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8963*f - 11237 wrt f?\nAnswer: -8963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1855, 20246, 38637, 57028, 75419?\nAnswer: 93810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -49\/19, -0.098, 4.\nAnswer: -49\/19, -0.098, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 8*m**2 - 45*m + 25. Give f(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 3 = 2*f. Which is the third biggest value? (a) f (b) 0.4 (c) 3 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8568 and -2059?\nAnswer: -17641512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -37b?\nAnswer: 381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.011 (b) 13576 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -123\/100 - -2209\/800. Find the common denominator of -9\/44 and v.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - a00?\nAnswer: -9aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1872) - (sqrt(1872) + (sqrt(1872)*-2 - sqrt(1872)) + sqrt(1872) + 4)**2)*1.\nAnswer: -648*sqrt(13) + 11328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*c + 9. Let h(y) = y + 1. Let d(s) = 7*s + 6. Let f(t) = d(t) - 5*h(t). Let q be f(c). Is q equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/(-34) + 10 + (-1980)\/189?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 8:39 AM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -31.53*0.84\nAnswer: -26.4852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*m - 1 + 3 - 2.\nAnswer: -13*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 812245023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.4548 take away 8?\nAnswer: 78.4548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -246 (base 7) to base 4.\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23488 and 4?\nAnswer: 23488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.23, 6, -0.1?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62648 divided by 2?\nAnswer: 31324","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 129 = -4*h + 2 - 37, 0 = 68*h - 4*v - 72 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 0*q**2 + 0*q**4 + 8*q + 17\/20*q**5 + 3\/2*q**3 + 0. What is the second derivative of n(p) wrt p?\nAnswer: 102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 47, 188, 423, 752, 1175?\n\"Answer: 47*p**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4375 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 6:59 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*n = -3*d - 279, -2*n + 103 = -5*d + 32 - 95 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5 + 0*b - 3 - 3 + b. Let x be q(5). Suppose 31 = 3*t - x*j, 3*j = 5*t + j - 61. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, c: 1, s: 3}. What is prob of picking 2 s, 1 h, and 1 c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 2*t + 345. Let j be s(0). Let k = j - 351. Let f(o) = -o**2 - 7*o. Give f(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 5*h + 0*h = 16, 2*x - 5*h + 6 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q - 11*q - 3*w + 3 = 0, 7*q + 5*w + 3 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -32, -44, -56, -74, -104, -152?\n\"Answer: -z**3 + 6*z**2 - 23*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 4*q - 13. Let p(h) = -h**2 - 3*h - 6. Let j = -6 + 2. Let m be p(j). Is g(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*b, -2*b = 5*z - 32 + 11 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20.487 and -2?\nAnswer: 40.974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 238*r. Let z be y(1). Let n = -23270697\/98344 + 6\/12293. Let u = n + z. Find the common denominator of u and 24\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p. Let t(i) be the first derivative of 1\/30*i**5 + 0*i**3 - 3 + 0*i + i**2 + 0*i**4. Let u(a) be the second derivative of t(a). Determine v(u(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c - 3*c - c + 2*c - c - 3*c + (2*c + 4 - 4)*(2 + 0 - 4) + 3 + c - 3 + (-1 - 1 - 1)*(-4*c - 2*c + 5*c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 17\/7, 4\/9, -1\/9, -2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 7 = q - 4*l, -5*q - l = -19. Is 4 a factor of (2 + q)*(-4)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100320230 + -331231?\nAnswer: 33322333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62011 + -62080. Let t = -72 - -214\/3. Which is the third biggest value? (a) -3\/7 (b) t (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37404784757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 11*m. Suppose -4*b - 5 = -3*o, m = -b - o + 4. Is b < -1\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d1 (base 15) to base 10.\nAnswer: -196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30598 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/z**(-2))\/z))**(-44) assuming z is positive.\nAnswer: z**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/33360 and 83\/9641040.\nAnswer: 9641040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 + 354*(-765)\/(-34) a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-20))\/((-126)\/(-210))\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1917 is divided by 174?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-154)\/(-5) - (-4)\/20. Let j = r - 49. Let w be (0 + -4 + 1)\/(27\/j). Solve 3*c + 5 = w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4844 = -m + 4*r + 53196, -m + 5*r + 48353 = 0. What is the ten thousands digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b - 34 - 11 = 0. Suppose s = -2*g + 1686, -b*s - 1674 = -2*g + 2*s. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j + 2. Let t(y) be the third derivative of y**4\/24 - y**3\/6 - 2*y**2 - 235. Calculate -4*l(r) - 9*t(r).\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -4*b + 20, 4*b + 4 = -116547*c + 116543*c for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -20012330223?\nAnswer: -20012330223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - c + 1. Let k(z) = -z**2 + 2*z - 2. Suppose -2*l + 17 = 9. Calculate l*k(t) + 6*y(t).\nAnswer: 2*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 72 = 5*a + 60, -16 = -4*p + 5*a. Calculate the lowest common multiple of p and 69.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148621171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 130.191373 rounded to 1 decimal place?\nAnswer: 130.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -260*k - 114*k + 461*k - 159*k.\nAnswer: -72*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 401 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 683020549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 17684951?\nAnswer: -17684949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38020 divided by -5.\nAnswer: -7604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 1244 = -3*c, 2*v = -0*v - 3*c + 2479. List the prime factors of v.\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 - 3)*(4 - 2*o - 4)*(1 - 2 - 2)*(0 - 2 + 4).\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -y**4\/26 + 8*y**3\/13 + 13. Factor t(j).\nAnswer: -2*j**2*(j - 12)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/(-10)*0)\/(-3 - -1). Let j = t + 2. What is the second smallest value in 0.2, j, 11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1309\/51*(-4)\/7*(-9)\/(-6)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -14, 5, -3, -8 in increasing order.\nAnswer: -14, -8, -4, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 393962 and 7711?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 14, a: 1}. What is prob of sequence qqa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 304 = 30*f - 35*f. Solve 13 - 141 = f*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 7*x**2 + 7*x - 6. Let q(h) = 7*h**2 + 43*h - 3. Let o be q(-6). Let a = o - -1. Calculate g(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + 13*k**2 + 2*k - 19. Let c be l(-13). Let b be (4\/(-5))\/(9\/c). Let i be (-192)\/(-20) - (-2)\/5. Solve -6 = -b*j + i for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -10. Suppose 80 = -l + v*l. Calculate the highest common factor of 16 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 - (-104 - -73 - 40)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 636 divide 2778048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 412.7 - 414.699. Let o = -4.1 - -6.1. Let s = o + j. What is s rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 0.16163536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 639909236?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2620.\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 308 + -132. Suppose 7*p - 27 = a. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13026 (base 8) to base 4\nAnswer: -1120112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 271740?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/5 - 120604*c**2\/5 - 1818165602*c\/5.\nAnswer: -2*c*(c + 30151)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -530, -4021, -13464, -31835, -62110?\nAnswer: -107265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/8 and 89\/114028.\nAnswer: 228056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**4\/12 + y**3 + 4*y**2 + 15*y. Let o be p(-7). Solve -1 = 4*l + o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 72. Suppose 2*t - 128 = -4*a, -66*t - 5*a - 269 = -70*t. Calculate the remainder when t is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*y = 26. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 6*r + 2*r - 12*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8051043 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: Rearrange (-3 + 3 + h)*(1 - 1 + 2) + (-5 - 3 - 2)*(4 + h - 4) + (-4 + h + 4)*(4 - 4 + 2) + 608 - 85*h - 608 to i + p*h and give p.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 2*r**2 - r + 1. Let p be a(2). Let n be ((-4)\/35)\/((-2)\/(-5)). Sort p, n, 1\/8.\nAnswer: p, n, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26929, -27, 1 in decreasing order.\nAnswer: 1, -27, -26929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*f = 28*f - 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbk when three letters picked without replacement from nfnfkfnfkknkmkmfnbn.\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -41041.3 from -77940.1.\nAnswer: -36898.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2508, 0.08, -22?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1805 rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 5:40 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 1083 - 141*r**3 - 2*r**4 - 4*r**2 + 543 + 543 - r to t*r**2 + m*r + q + u*r**4 + f*r**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-92)\/(-5))\/((10\/(100\/(-3)))\/(9\/12))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -35 (b) 2\/7 (c) -0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.853621 centimeters in kilometers?\nAnswer: 0.00008853621","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 35*d + 2. Let k(h) = 2*h**2 - h. Give -2*k(n) - u(n).\nAnswer: -3*n**2 + 37*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10103239 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 24*l - 157. Calculate r(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31\/15 + 29\/15. Which is the nearest to 0? (a) j (b) -3\/2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/3))**(2\/115)*(o*o**(2\/11)*o)**(-1\/86) assuming o is positive.\nAnswer: o**(-3194\/163185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 7*k**2 + 11*k + 28. Let g be x(-8). Suppose -14*t = -11*t, -2*c + 2*t = -g. What are the prime factors of c?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6758, 13599, 20374, 27053, 33606, 40003, 46214, 52209?\nAnswer: 57958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 2113*d - 27631. Calculate w(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7763877 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1284 by -4.\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 2 (c) -11 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(5\/4)\/v*v*v**(-3\/2)*(v*v**(-1\/2))\/(v\/v**(2\/11)) assuming v is positive.\nAnswer: v**(-25\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**6\/120 - 2*d**5\/15 - d**4\/6 - 5*d**3\/2 + 9*d**2. Is 15 a factor of r(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -7*n**3 - 3193*n**2 - 28580*n + 12514. Determine s(-447).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/5 of a millennium in years?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/35 (b) 5 (c) 0.2 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-32)*4)\/(5\/(-40))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 18*w**2 + 14*w + 4. Let q be c(17). Let y = q + 52. Suppose 0 = -n - y, 0 = 2*v - 3*n + n + 72190. Round v to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 185*m**4 - 60*m**2 - 515*m - 29544323.\nAnswer: 740*m**3 - 120*m - 515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1434 (base 6) to base 3\nAnswer: -112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 5*i - 7, 4*y + 4*i - 2*i = 10. Put y, 11, -3 in descending order.\nAnswer: 11, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34112104 to the nearest ten thousand.\nAnswer: 34110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 83 = -3*t, -3*z = -5*t - 6*z + 90. Let y(m) = -m**3 + 22*m**2 - 22*m + 29. Let b be y(t). Let j(s) = s**2 - 8*s - 3. Give j(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6933259 rounded to 2 decimal places?\nAnswer: 3.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = y - 35, p - 9 = -2*p. Calculate the least common multiple of 20 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1426 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 2*o**2 + 2*o + 5432. What is the hundreds digit of f(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -6. Let p = r - 19. Let q = p + 4.000001. What is q rounded to 6 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1. Let r = -0.9 - m. Let j = -3.2 + 3. What is the closest to j in r, 2\/3, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u\/(u*u\/((u\/(u*u\/u**(-1\/3)))\/u)*u)))\/u)\/u)**9*(((u*u\/(u\/(u*u\/u**(1\/4))))\/u*u)\/u*u)**(-11\/4))**24 assuming u is positive.\nAnswer: u**(1077\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11383 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 + 3 = -3*b. Solve -3*r - 10 = -2*x, r = -3*x - x + b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 9*u**2 + u. Let a be h(1). Let l(k) = 2*k**2 - 3*k - 215. Let r be l(-10). Calculate the greatest common divisor of r and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -479660384 by 16.\nAnswer: -29978774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 3. Suppose i - 2*i + 8 = 5*b, -3*i = b - k. Let c(a) = -4 - b + 3*a + 4 + 3. Give c(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + d. Let l(y) = 3*y**2 + 3*y. Let x(r) = -l(r) - p(r). Factor x(u).\nAnswer: -2*u*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -2 (c) 4\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 4*k**2 - 470*k + 202. Let m be v(24). Suppose 2*f - 39 - 29 = 0. What is the greatest common factor of f and m?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 16, t: 4}. What is prob of sequence vv?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(2 - (2 - -1)). Is (-21)\/(-6) - (-1)\/m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w + 110 = 78 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -3. Let n(s) be the second derivative of s**4\/12 - 2*s**3\/3 - 2*s**2 - 3*s - 1. Give n(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(18)\/sqrt(6) + -1)**2 + (sqrt(15)\/((sqrt(245) - (3*sqrt(245) - sqrt(245))) + sqrt(245) - sqrt(245)))**2.\nAnswer: 150\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.03, -1.1487704, 4, 0.4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286 and 8918.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44394249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 2:39 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3286.56 rounded to the nearest 10?\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 10:46 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 505*q = 498*q + 2674. Let s = 902 - q. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 22*l**2 - 18*l - 58. Let h be v(21). What is the greatest common divisor of h and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**9*l\/(l**(4\/15)*l)*(l*l**(-10)*l)\/l*l*l*l\/(l\/(l\/l**10)) assuming l is positive.\nAnswer: l**(-109\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 12:34 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21848 and -0.0442.\nAnswer: -965.6816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.231 (b) -2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**3 + 4*v**2 - 4. Let b = -6 + 8. Let p(h) = 2*h + 4*h**3 + 5 - 2*h - 5*h**b. What is 5*o(i) + 4*p(i)?\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 115 + 173. Does 36 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 + ((-216)\/(-28))\/((-3)\/(-21)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*f**3 + 3*f**2*l - f**2 - 725*f*l + 1907*l wrt f?\nAnswer: 6*f**2 + 6*f*l - 2*f - 725*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430 = -2*c + 5*i, -2*c + 0*i + 4*i + 428 = 0. Suppose c*z - 197*z - 130 = 0. Calculate the highest common divisor of z and 290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 + 6*u)*(-2 + 0 + 6).\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*5\/10*1. Is f at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -1\/7, 0.1, 0.05, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5527281t in kilograms?\nAnswer: 552.7281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - -4 - (-18)\/2. Suppose -k + i + 1 = 0. Is ((-8)\/k)\/(2\/(-111)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.9 - -20.4. Let o = -1863 + 1877. Which is the closest to 1? (a) -0.4 (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 11:31 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 10336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/47 - 55\/611. Let z = -26.5 - -27. Let m = 33 + -36. Which is the second smallest value? (a) z (b) u (c) 0.4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102120110 (base 3) to base 12.\nAnswer: -4a70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*b + 5*k, -43 = -2*b - 5*k - 16. Let j(v) = -10*v + 12. Let m be j(b). Solve -3*s - 22 = 2*g, -g - 2*s = -3*g - m for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 864 and 49824?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(108)).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -20. Let f = -14 + 10. Calculate the smallest common multiple of 4 and (4\/p)\/(2\/f).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**15\/q))\/(q\/q**32)*q\/q**33*q**4 assuming q is positive.\nAnswer: q**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00044704 to six decimal places.\nAnswer: -0.000447","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 156 + -132. Let a(v) = v**3 + 5*v**2 - 10*v - 8. Let k be a(-6). What is the highest common divisor of d and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + t + 2. Suppose -2*j - 4 = j - 4*i, -5*i = -3*j - 5. Let c be w(j). Suppose 2*l + 4 = d, -d + c + 2 = -3*l. Solve 0*q + d = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 6. Let u(x) = -2*x - 11. Suppose -5*y + 38 - 93 = 0. Let b(z) = y*a(z) - 6*u(z). Let o(m) = 5*m. What is o(b(t))?\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2529 times -395329\nAnswer: 999787041","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 23*m + 132. Let j be n(-11). Solve -25*s + 75 = -j*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89027595?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*(-9 + 8 - 0). Put 1, a, -12, 3\/2 in increasing order.\nAnswer: -12, a, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27534 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 2 - 13 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*m + 3480 = 222*m for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 156324\/19600 - (-39)\/1092 - 8\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19057 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/5 - 806*t\/5 + 162409\/5.\nAnswer: (t - 403)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 6*t - 18. Let m be z(13). Let p(u) = -5*u**2 + 104*u - 17. Let g be p(21). Let h = g + m. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -3 - (-1 + -1) - 6. Sort r, -6, -1 in descending order.\nAnswer: -1, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yqsiioys. Give prob of sequence si.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 114.6.\nAnswer: -22.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 18, 5, 3.6, -1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j + 1. Let q(i) = 6*i**2 + 4*i + 4. Let m be q(-4). Let x(h) = -84 - h + m. Give b(v) - 5*x(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2872.147162 rounded to one decimal place?\nAnswer: 2872.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 21, 49, 87, 135?\nAnswer: 193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1728385908?\nAnswer: 2, 3, 2131, 67589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -10 - (286 - 265).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12\/5*u + 3\/5*u**3 + 0 - 9\/5*u**2 = 0. What is u?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(256) + sqrt(256))\/(sqrt(96)\/sqrt(3)).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.5 - -1.1. Let q = w - -5. Let l = 0.05 + -2.05. What is the second biggest value in l, 0.1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Let q be y*-5*1\/2. Let u be (-8)\/(-16)*(-12)\/(-10). Which is the second smallest value? (a) 1 (b) u (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9*l**2 - l. Let a be t(1). Suppose -2*o = 6, -3*i = -8*i - 2*o + 89. Suppose 2*c = 2*z + 2, i*z - 20*z + 24 = 4*c. Is a > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 551 or 2753\/5?\nAnswer: 551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 988 + -410. Suppose -2*b + 2*u - v = 0, -7 = -2*u + 3. What is the units digit of (-10)\/15 + b\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkgvkvgvvvvg. What is prob of sequence vk?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1722395 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8504 divided by -417\nAnswer: 8504\/417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 368049 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 382*f**2 - 1258*f + 386. Calculate z(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 764993427 divided by -1\nAnswer: -764993427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 16*n - 64. Determine w(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*v - 5*v + 114*v**3 - 117*v**3 wrt v.\nAnswer: -18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5149 and 2458961?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32972522029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116955582 is divided by 49.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111231565 is divided by 713.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, c: 12}. Give prob of sequence cb.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136 by 57607.\nAnswer: 136\/57607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 7:51 PM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 + 5*b**2 + 5*b - 4. Let l(s) = -5*s**3 - 10*s**2 - 11*s + 7. Let v be (1 - 0\/(-3))*7. Let m(w) = v*d(w) + 3*l(w). Determine m(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-3\/7))\/g**(3\/7) assuming g is positive.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -3. Let m(a) = 6*a + 1. Let u be m(f). Solve -3*d - 2 = u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5492.787 - 5490. Let k = -26.2 + 29. Let h = k - s. Round h to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.2, 1\/35, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4*g - 18 = 0, -44*g - 20 = 5*k + 146 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -210? (a) -5 (b) 1 (c) -2\/7 (d) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 15 = -n + 5*m, 6 = 2*n + m. Suppose -13*y + 14*y = 3*k - 646, 2*k + n*y = 438. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1781)\/195 - -9)\/(4\/18)*-5. Solve -2*q = -3*q + 2*t + p, 4*q = -t + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1641, 2, 5, 23, -2 in descending order.\nAnswer: 1641, 23, 5, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -0*d. Suppose 5*n + 99 = 2*z, d*n + 5*n - 160 = -5*z. Is 13 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6\/2945 - 59537\/23560. What is the common denominator of 6 + ((-713)\/128 - 1) and s?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3271 bigger than -1612209\/493?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4)*(0 - -12)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36960 and 1848?\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1580d (base 15) to base 7\nAnswer: 406036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -557712, -2230831, -5019364, -8923311?\nAnswer: -13942672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/28)*n**(3\/2) assuming n is positive.\nAnswer: n**(41\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/15, 266, -6\/11, 5, -1.7?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.575508 and -0.11.\nAnswer: 1.465508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84630238 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkxt when four letters picked without replacement from {k: 1, t: 8, q: 1, x: 8}?\nAnswer: 14\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -165*b + 159*b + 72. Suppose -b*z - y = -11*z - 952, -3*z = -y - 2852. What are the prime factors of z?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/2)\/(((-84)\/32)\/(2779\/1588)).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-8)*i)\/i*i**(3\/2))\/(i**(4\/5)*i*i*i**(2\/31)) assuming i is positive.\nAnswer: i**(2367\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 66*d - 9. Let x(k) = -65*k + 7. Determine 4*h(z) + 5*x(z).\nAnswer: -61*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -90*v**4 - 44082*v**3 - 1037426*v**2 + 211210*v + 46500 = 0?\nAnswer: -465, -25, -2\/15, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 497 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3642 + 3642. Suppose 2*y - y = 5. Suppose -18 + y = -3*g - 2*v, -12 = -2*g + 2*v. What is the nearest to d in 0, g, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, -64, -216, -512, -1000?\n\"Answer: -8*g**3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 76, 141, 262, 457, 744, 1141?\nAnswer: 1666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 300 and 2900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**8)**(1\/4)*s**3\/s**(2\/3) assuming s is positive.\nAnswer: s**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, -89, 1\/3, 0, -62\/37?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5058 and 117177.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(595\/126) - -3)\/((-9)\/(-2175)*-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-5 + -2 - -6) + 2 + 4577?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvwr when four letters picked without replacement from {m: 1, q: 1, w: 2, v: 1, l: 1, r: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101333 - -2233?\nAnswer: -33100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88939\/87570 + -1\/4170. Find the common denominator of (-1)\/((-28)\/108) + 9\/(-21) and d.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7\/((-35)\/15) + -3 + 1672.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -877 - -934. What is the remainder when g is divided by 48?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*t = 30999994, 0 = 2*x - 2*t + 4*t + 12400006. Round x to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssgjuzs. What is prob of sequence gjzu?\nAnswer: 1\/3024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1107 or 1119?\nAnswer: 1107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(3) + 3 + sqrt(14)\/(sqrt(8)\/sqrt(4)))**2.\nAnswer: 12*sqrt(7) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 + 47 = -5*d. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85\/6 - -44\/3. Is c at least as big as -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 - 6*v**2 + 5*v + 18. Let b be w(-4). Suppose -101 = -3*j - 20. Suppose b*i = j*i. What is the third smallest value in -0.1, i, 2, -1\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 2*n**2 - 1 - n**3 - 13*n - 1\/3*n**4. Let p(w) be the first derivative of q(w). Solve p(k) = 0 for k.\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - 17*a**3 - 8*a**3 - 5 - 2*a**2 - 11*a**3 + 32*a**3 in the form u + l*a**2 + i*a + w*a**3 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -38. Calculate the remainder when 151 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 230 + -139. Let m = r - 6. Suppose -4*i = i - m. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1625 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 3)*(15203*q**2 - 1523*q**2 - 4054*q**2 + 13450*q**2 + 9736*q**2).\nAnswer: 65624*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 18*q + 123. Let w be n(-7). Let k(c) = 14*c + 9. Let h(d) = 13*d + 6. Let f(r) = w*h(r) + 2*k(r). Let a(b) = -20*b**2. Calculate a(f(u)).\nAnswer: -2420*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by (0 - -18) + 1 + -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*r = 0, 0*w - 2*w - 5*r = -29. What is the third derivative of 4*b**w + 2*b**2 + b**6 + 0*b**6 wrt b?\nAnswer: 120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 26. Let z(q) = q + 1. Let x be z(-4). Let j be d*-3*x\/15. Solve -j = -u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/100 of a millennium?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 935 and 475915.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 23852279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1100000 (base 2) to base 7\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54019 equal to 1242416\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 100?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -823 + 1382. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 109*k + 567. Determine h(-8).\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143.19 - -144. Let m = -0.31 + g. Let w = -757\/4 - -189. Which is the third smallest value? (a) m (b) w (c) -2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 830*p**2 - 2*p. Is y(1) a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 5. Let d(w) = -2*w**2 + 4. Let s(x) = 5*d(x) + 4*j(x). Let q(h) = 3470476 - 3470476 - 11*h. Determine s(q(o)).\nAnswer: -242*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-22) - 42\/(-11). Find the first derivative of 0*i**2 + 2*i**2 - 3 + z wrt i.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/196 and -121\/1064.\nAnswer: 7448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 10:51 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 10:24 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*4*(-1)\/(-8). Suppose -2*z = -3*a - 7*z + 25, 0 = -a + 2*z - 10. Find o such that l*o + a + 1\/2*o**2 - 1\/4*o**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(2448) + sqrt(2448) - (sqrt(17) - (4*sqrt(85)\/sqrt(5) + sqrt(17)))**2.\nAnswer: -270 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4e7 + d?\nAnswer: -4da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2709515\/7 - -386306. Let k = -811 - o. Which is smaller: -42 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.93 - 0.07. Let h = 104 + -96. Let r be 2\/h - (-306)\/(-136). Which is the smallest value? (a) l (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3636379902 rounded to two dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s + 47 = 5*f - 28*s, 3*s + 9 = 3*f. Solve z + f = 2*l + 4, 5*l = -2*z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20633, 20583, 20513, 20435, 20361, 20303, 20273?\nAnswer: 20283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000010011100000 (base 2) in base 3?\nAnswer: 12001120010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s + 3. Let t(q) = 15*q - 10. Let y(v) = -7*m(v) - 2*t(v). Let u(c) = 43*c - 3. Let n(p) = u(p) - 3*y(p). Calculate n(1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1721 is divided by 564.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 j when three letters picked without replacement from {m: 6, e: 2, j: 2, x: 3, i: 1, b: 5}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.3 (c) -0.054 (d) 10 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 21231001 (base 4) to base 7\nAnswer: 223606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 34*s. Let q(r) = -58273*r. What is q(k(h))?\nAnswer: -1981282*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8873.557 and 0.6?\nAnswer: -5324.1342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3271*f + 652*f + 656*f + 641*f + 661*f + 657*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**7\/b*b*b)\/((b\/b**(-1))\/b)*(b*b**(-1\/12))\/b*(b*b**(1\/9)\/b)\/b)**(-25\/4) assuming b is positive.\nAnswer: b**(-7225\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10431*r = 35628 - 8048 - 7392 + 52829 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 5*s**2 + s + 3. Let n be z(-5). Let w = 0.06 + -4.06. Sort w, -3, n in ascending order.\nAnswer: w, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6984814 divided by 6984814.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 10*k + 1. What is p(2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 83, 174, 297, 452, 639, 858?\nAnswer: 1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -108919?\nAnswer: 108910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 36 = -5*a, -4*a - 3*c = -6*a + 9. What is the greatest common divisor of 657 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2. Suppose 4 = 5*j - 6. Suppose -2*f = -2*h - 6, -4*h - 2*f = -j*h - 14. Let c(v) = -7*v**h - 14*v**2 + 2*v**2. Determine c(d(q)).\nAnswer: -76*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.096691 rounded to three dps?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -61*m**3 + 1403*m**2 + 2*m - 24. Calculate v(23).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*f - 5*f + 10 = -5*o, -f - 8 = -3*o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35\/734 or 0?\nAnswer: -35\/734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/19 in 0.06, 6167, -4, 1\/2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m. Let d(b) = 7*b**2 + 10*b + 2. Calculate d(w) - 5*i(w).\nAnswer: 7*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.57 + -5.2. Let m = 30.63 + z. Let t = -31 + m. Sort t, -2, 5.\nAnswer: -2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (87 - (-21 - -76))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 329745 in 41, -5, -1?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-826)\/118 - 78\/(-10)) + -1. Put 2, 3.1, 3, -6.3, w in increasing order.\nAnswer: -6.3, w, 2, 3, 3.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3122.93 rounded to the nearest 100?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 4*v**2 - 2*v + 3. Calculate p(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12907 less than -779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 89*w - 185*w + 76*w + 2*w**2. Let v(s) = -8*s. Calculate r(v(g)).\nAnswer: 128*g**2 + 160*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 557, 1184, 1811, 2438, 3065, 3692?\n\"Answer: 627*u - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*y = 60 + 23 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q + q + 0*q - 2*q + q + (2*q - 6*q + 2*q)*(-2 + 0 + 0) - 2 + 2 - q)*((-1 + 0 - 1)*(3 + 4 - 5) - 1 + 0 + 2).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - z**3 + z**3 - z**4)*(6 - 1 + 9)*(-2*z + 2*z - z).\nAnswer: 14*z**5 - 42*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.43? (a) 2\/5 (b) -0.4 (c) 40.68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 16. Suppose -12 = -3*l - 0*l. Calculate the greatest common divisor of l and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 - 11*x**3 - 4*x**3)*(x - 2*x - x + (-2*x + 3*x - 2*x)*(2 - 5 + 4)).\nAnswer: 51*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -548996*a**3*m**2 - 248522*a**2*m - 2*a**2 + a*m**2 + 2*a*m wrt a?\nAnswer: -3293976*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**3 + 24*d**2 + 60*d - 400 = 0.\nAnswer: -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9555538 and -8?\nAnswer: 76444304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (12 - (15 + (-13 - -3) - -25 - 14))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -74*y**2 - 2531*y + 2070. Determine t(-35).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -523*n + 525*n + 42. Let y be ((-12)\/(-9))\/(6 - (-112)\/n). Let t(j) = 4*j - 4. What is t(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjcjooocjjo. What is prob of picking 2 o?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 396*s**2 - 31*s - 13?\nAnswer: 792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 42*n + 530913 = -4*n. What are the prime factors of n?\nAnswer: 3, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101.0022 - 101. Round h to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w**2 + 4*w**2 + 9*w**2)*(-5*w**3 + 27*w**3 + 77*w**3).\nAnswer: 792*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 65 = 4*i - 174, 5*h = -2*i + 59. Suppose -5 = 3*o + 46. Let a = i + o. Is 10 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (27 - 45) + 33\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*w - 1277 = 5*j, -2*j - 2514 = -2*w. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42267 + 40137 - 3168 = -852*h for h.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/(-66))\/(((-2)\/1)\/(-4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7699 + 316*o + 494*o + 7699 in the form d + a*o and give a.\nAnswer: 810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u - 3. Let i = -141 - -145. Let n(j) = -2*j + 10. Let p(o) = -o + 4. Let r(m) = 5*n(m) - 12*p(m). Calculate i*r(s) + 3*d(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 18*x**2 + 34*x - 459. Determine q(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 22*l + 12. Suppose 5*a + 7 = -5*w + 2, -5*w - 9 = a. Let y be 9\/w*32\/l. Calculate the highest common divisor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*t**2 + 2*t**2 - t**2)*((12758 + 13*t - 12758)*(4 - 1 - 4)*(-1 + 0 - 1) + 3*t + t + t) as s*t + y*t**3 + q*t**2 + u and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -3\/2, 4, 3, 5\/11?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5309 + 5302.127. What is v rounded to one decimal place?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 10*f - 10. Let v be k(-8). Let n = v + 38. Suppose 7*w + n = 184. Does 10 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 648?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28948959*w**3 + 25467842*w.\nAnswer: -173693754*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 - 31*s + 243. Let n be q(-21). Solve 31*x + 105 = n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4302*k**2 + 7024*k**2 - 2706*k**2)*(-2*k - 2 + 2).\nAnswer: -17240*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 775 and 372?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 11. Determine i(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 45, 63, 89, 129, 189?\n\"Answer: s**3 - 2*s**2 + 17*s + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52069?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/197 - 2239\/3546. Calculate the common denominator of m and 37\/7.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - s + s)*(5 + 2 + 5) - 9*s**2 + 3*s**2 - 4*s**2 + 2.\nAnswer: 2*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101082 (base 9) to base 12.\nAnswer: -2a778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(2 + 3 - 3)*(-1 + 4 - 1)*(-3*s**2 + s**2 - 2*s**2).\nAnswer: 32*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(176)*2 + sqrt(176) + sqrt(176)))\/(sqrt(8) + sqrt(24)\/(sqrt(9)\/sqrt(3))))\/(-3*(sqrt(242) + (sqrt(242)*1 + sqrt(242))*5)).\nAnswer: -2*sqrt(11)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**4\/4 + 4*t**3\/3 - 3*t**2\/2 + 7*t + 6. Calculate k(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-141) - (-1428)\/3995.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 3*l + 3. Let y be f(-3). What is the derivative of 2*a**y - 8*a**3 + 9 - 7 wrt a?\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2 - 44\/(-8). Suppose j = -t + u, 2*t + t - 3 = 0. Suppose j*p = 335 + 240. Does 26 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 28 = 4*c + 13, 5*q - 63 = 4*c. Let d = 72 - 53. Calculate the remainder when d is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*i + 25*i = -428 - 262 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29821?\nAnswer: 11, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -225445432 (base 6) in base 5?\nAnswer: -2033034131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1134)*-1)\/(5*sqrt(112)))**2 + -1 + sqrt(2) + (sqrt(2) - (sqrt(32))**2*-5) + -1.\nAnswer: 2*sqrt(2) + 31681\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2081845491 - -2081849879.369996. Let w = n - 4390.37. Let s = w + 2. What is s rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-546)\/10)\/((-4459)\/3185)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 979647340, 1959294678, 2938942016?\n\"Answer: 979647338*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9315*j - 279*j**4 - 578*j**4 - 11023*j wrt j?\nAnswer: -10284*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 10*r + 130. Give t(-18).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.3829803 to one dp.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 0.3, 85?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -129 + (-284 + 278 - (16 + 1 + -1)) + 13\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15346, 16914, 18482, 20050, 21618, 23186?\nAnswer: 24754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2980753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 61*l + 136. Calculate n(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 9.4862637 milliseconds?\nAnswer: 0.00000010979471875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 447*h**3 - 97*h**3 + 0*h**2 + 868*h**3 + 0*h**2 - 339*h**3.\nAnswer: 879*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 7\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -742.7 + 41.7. Let m = -701.3 - z. Suppose 4*y = -3*n - 24, -3*n - y - 9 - 6 = 0. Which is the third smallest value? (a) n (b) m (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 0*k**2 - 61 + 81 + k**2 - 13*k. Let l be p(12). Suppose -l*t = -t - 154. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480 and 31776.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 10:40 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 5*k - 1. Let c be y(-6). Suppose -n = -x + 2, -3*n = n + c*x + 35. Let l(o) = o**3 + 5*o**2 + o - 2. Give l(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 43490*m - 130443. Give r(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20419)\/(-4083800)*(-10)\/(-4)?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2634 rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/24 and 23\/5399.\nAnswer: 129576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c82 - -b2?\nAnswer: -3ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 5376564.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + (-14)\/(-10))*-45. What is the greatest common factor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 225380 and 450760.\nAnswer: 450760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 167?\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.08652nm to millimeters.\nAnswer: 0.00008408652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405552?\nAnswer: 2, 3, 7, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 q, and 1 r when three letters picked without replacement from {r: 1, h: 2, i: 1, c: 2, s: 1, q: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 999449151.\nAnswer: 999449151.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3654673531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5103599 is divided by 300?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3413337 and 471.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/497 - -1493\/994. Factor 0 - a*y - 3\/4*y**2.\nAnswer: -3*y*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.049938 rounded to two decimal places?\nAnswer: -1.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 4*r - 14. Give x(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2350030 = -203*d + 2335617 for d.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 70.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 227499869 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x. Let l be -2*(-1)\/(-2) - 3. List the prime factors of n(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 16 = 6*o. Let i(v) = 79 - 133 - 5 - v**2 - 20*v. Let p be i(-7). Calculate the highest common divisor of p and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 533 + -537.1. Let i = k + 8.1. What is the third smallest value in -1, -1\/5, i, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6970432901 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1296)\/1200*115)\/((-3)\/575). Factor 345*a**2 - 5\/3*a**3 + 547515 - y*a.\nAnswer: -5*(a - 69)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 521120 + 101444?\nAnswer: 1023004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 - 61. Let r = -372.7 + 379.7. What is the closest to d in 1\/10, 2\/5, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u - 20. Let p be c(6). Suppose -4*f + k = -20, 2 = f - p*k - 3. Solve 1 = f*q - 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -267 - -269. Suppose -4*j = 3*b - 16, -3*b - z*j + 8 = -b. Determine t, given that 2\/11*t**2 + b + 2\/11*t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4 = -10. Let f be ((-4)\/10)\/(-5*u\/850). Let g = f - -34. Solve g = -3*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 4, 0, 2\/9 in ascending order.\nAnswer: -0.05, 0, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from {u: 2, f: 3, c: 1, s: 2, t: 9, b: 3}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**2 - 7*k + 7. Let g(w) = 2*w - 5*w**2 + w - 3 - w**2 + 4*w**2. Calculate 14*g(o) + 6*z(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + (4 - 25\/5). What are the prime factors of (61\/(-2))\/(q\/(-6))?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mff when three letters picked without replacement from mmifkimmikmfimk.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 4. Let u be d(4). Suppose u = z + z - 28. Suppose 25*b = 22*b - 21*b + 48. What is the highest common factor of z and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a factor of 8259599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16748032 divided by 74768.\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000072403 rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 102105737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21\/19508 + -126430949\/370652. Let k = 341 + r. Suppose -f - 6 = -n, f + 2*f = 2*n - 15. Sort f, 0, k in increasing order.\nAnswer: f, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaqarhvrahraarar. Give prob of picking 3 a.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 6 + 9 = -2*v, 5*v = h + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - 4 + 4)*(2 - 1 - 3)*(8*c + 3*c - 2*c).\nAnswer: -54*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*r = -6 + 38, r - 5 = 0. Let c(v) = v**3 + 6*v**2 - 11*v - 9. Calculate c(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o**2 + 16*o + 4. Let j be u(0). Let x be -1*2 + (-1 - 1). Let i(d) = 12*d - 25. Let k be i(2). Sort j, x, 5, k.\nAnswer: x, k, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**8\/120 + x**5\/40 + x**3\/2 - 14*x. Let q(d) be the second derivative of s(d). Find the second derivative of q(r) wrt r.\nAnswer: -168*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1183, 1185, 1187?\n\"Answer: 2*p + 1181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 379\/1659 - -58\/553. Sort 0.5, x, -54, -20 in descending order.\nAnswer: 0.5, x, -20, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + q = 2, 2*q = -5*o + 3*q + 5. Let g be 4\/8 - (27\/(-18) + 6) - -2. Which is the nearest to g? (a) -10 (b) o (c) 0.2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 133 divided by -3231\nAnswer: -133\/3231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*-2)\/(340\/(-34))*(-1)\/6?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 828 and 4600.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1045121.17 to the nearest one hundred.\nAnswer: -1045100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73163 or -73168?\nAnswer: -73163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 6*m - 1. Suppose 0 = -p - 6 + 1. Let i be u(p). Suppose 4*r = q - 22, i*q = 5*r + 16 + 17. What is the highest common divisor of 10 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32381772*z**6 - 35267376*z**2.\nAnswer: 3885812640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12, 0, -30, -78, -144, -228, -330?\n\"Answer: -9*s**2 + 15*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1142570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*-1 - (-120)\/24. What is the second derivative of -4*j**2 - 3*j + 9*j - 10*j**u + 5*j**2 + 0 - 2 wrt j?\nAnswer: -120*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12404568803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*f - 91*f - 28732*f**2 + 258*f - 79*f.\nAnswer: -28732*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**2 + 17513*u - 35024. Give t(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 212, 417, 970, 2045, 3816, 6457, 10142?\n\"Answer: 29*s**3 + 2*s + 181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40191 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3551742, -4 in ascending order.\nAnswer: -3551742, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*u = -122, -45*v + 42*v + 393 = 3*u. Do v and 134 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2230 is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*i + 377 + 20, y - 76 = 4*i. Let d = 155 - y. Calculate the remainder when d is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -49*a**3 + 63*a**2 - 9*a. Give u(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1270 and -85.\nAnswer: -107950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -85424*x**6 - 3*x**4 - 37*x**3 - 2*x**2 - 6*x - 3230405 wrt x.\nAnswer: -10250880*x**3 - 72*x - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4120728767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 x, and 1 o when three letters picked without replacement from ooeocxeoxweoxoxwox.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30627533 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79033?\nAnswer: 17, 4649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/7*545\/1635?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 400, 1015, 1966, 3253, 4876?\nAnswer: 6835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/30 - -4)*(-14145)\/246.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*w**3 + 53*w**2 + 65*w wrt w.\nAnswer: 36*w + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/2))**(-1\/13) assuming i is positive.\nAnswer: i**(-3\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -204570 + 204572. Let s = -7.2 + 1.2. Let q = s + -1. Which is the second biggest value? (a) x (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g**3 - 15*g**3 - 10 - 9 + 7 wrt g.\nAnswer: -39*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -230\/9, 0.08, 5, -0.05, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*w, 7*r - 50 = 3*r + 2*w. What is the remainder when 32 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-5 + 4)\/2). Suppose a + 5 = 0, -a = -j + c*a + 17. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5665 = -5*t - 5*x, 10*t + 4*x + 1138 = 11*t. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, -3\/2, 9?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 49028? (a) -0.01 (b) -0.1 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 5. Let z be i - (0 - (1 - 1)). Find the third derivative of v**2 + v**4 + 2*v**2 - 2*v**z wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1457 is divided by 625?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10\/(-15)*9 + 6966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26618 - 26606. Solve -5*p = -4*y + r, 38*y = p + 36*y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 434 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141037696.\nAnswer: 2, 233, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m + 3*m - 21*m. Let c(d) = 7*d. Let j(p) = 17*c(p) + 6*q(p). Let z(x) be the first derivative of -3*x**2 - 4*x + 1756. Give j(z(w)).\nAnswer: 6*w + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 18616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 21. Let i = -13 + w. Suppose 0 = i*m - 7*m + 1137. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4\/7 - 2943*a**3\/7 - 821736*a**2\/7 - 6742032*a = 0 for a.\nAnswer: -452, -77, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 89, 5, -10, 0 in descending order.\nAnswer: 89, 5, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19\/5, -4, -5, 0?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 - -10?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4\/2 - 1418*i**3 + 39310*i**2 + 5672*i - 157248 = 0.\nAnswer: -2, 2, 28, 2808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**6\/1260 - s**5\/70 + 5*s**3\/3 - 21*s. Let r(x) be the second derivative of w(x). Factor r(n).\nAnswer: -2*n*(n + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nu when two letters picked without replacement from {n: 2, u: 6}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifty-one fifths of a millisecond?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 1 = 17. Calculate the remainder when 45\/10 + 1\/o is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*v**2 + 1798 - 1798 in the form j + n*v + g*v**2 and give g.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 12:54 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7 + 5*s - 1 + 2 + 2*s. Let a(j) = -j**3 + 4*j**2 - 5. Let p be a(4). Let t(h) = 6*h - 5. Determine p*t(x) + 4*l(x).\nAnswer: -2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -25001?\nAnswer: -24551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n + 32. Let f be v(-3). Suppose -f*a - 216 = -50*a. Calculate the least common multiple of 62 and a.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45842, 91681, 137520, 183359, 229198, 275037?\nAnswer: 320876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + 8. Let b be o(4). Solve q - 3*c + 6 - 19 = b, -5*q + c = 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202 (base 6) to base 12.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -26*j - 116 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.1, 1\/14, -6, 119?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**20)**41*(l**(-15))**(-4) assuming l is positive.\nAnswer: l**880","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2943*l + 2522 = -3137*l for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 42*k - 215. Calculate h(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 6:35 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 12*t - 18. Give z(15).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -485.6816 - -486. Let b = u + -0.0514. What is b rounded to two dps?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + c**2 - c - 2. Let g be f(0). Let b be -4 + 0 - g\/1. Let o(d) = -d**3 + 5*d**2 - 11*d + 50. Let h be o(5). Put -4, h, b in ascending order.\nAnswer: h, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1215\/(-567)*-5*1\/(-15))\/(2\/7).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**3\/7 - 148*l**2\/7 - 2398*l\/7 - 5808\/7 = 0.\nAnswer: -11, -3, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 44 = 5*n, 3*a + 0*a + 48 = -3*n. Let b = 12 + a. Solve -5*g + 10 = -b for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-14)*65\/650. Are -0.7 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - z = -0*r + 20, 5*z = -5*r. Let m(s) = -s**2 + 4*s + 2. What is the remainder when r is divided by m(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25.7 + -24. Let f = o + -1.9. Let l = 183.8 - 184. What is the nearest to l in f, -3, 1\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -31937 (b) 0 (c) -0.5 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/13 in 3, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 243222 and 0.2?\nAnswer: 48644.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*c**4 + 284*c**3*i**3 + c**3*i - 119*c**2*i - 8*c*i**3 wrt c?\nAnswer: -840*c + 1704*i**3 + 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(-1\/5)*w)*(w\/(w*w\/w**(-5)*w)*w)\/w*w**6*w**(-1) assuming w is positive.\nAnswer: w**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**2 + 18*p - 4*p - 8*p + 8*p**2 + 4. Let o(m) = m**3 + 1. Let t(l) = o(l) - v(l). Let b be t(7). Solve 3*r + b = -d, 5*r - 17 = 5*d + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = r - 5*l, -1811*r + 4*l = -1816*r - 283. Which is bigger: r or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3130130 (base 4) to base 13.\nAnswer: 6563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 32 = -3*l. Let q be 30*(l\/(-35) + 0\/(-2)). Suppose -130 = -17*a + q*a. Calculate the greatest common factor of a and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 1. What is the common denominator of (-1)\/3*(-189)\/w and (3 - 677\/(-90)) + 2\/(-9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -122 + 2?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -38*o + 39*o. Suppose 0 = -5*z - o, -2*h + 911 = 3*z - 4234. What is h rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2466825, 2466832, 2466839?\nAnswer: 2466846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(4\/9))\/b**5)\/(b**(1\/3)*b\/(b*b\/(b\/(b**4*b*b)))))**(-32) assuming b is positive.\nAnswer: b**(-608\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-165))\/(-22*(-20)\/24200).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, w: 4}. What is prob of picking 4 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 1 - (-2857 + 2827)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -385, -889, -1811, -3205, -5125?\nAnswer: -7625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-6*(-1 + sqrt(76)) - (5 + sqrt(475) + -2 + sqrt(475))))**2.\nAnswer: -44*sqrt(19) + 9197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2248\/3091*(-33)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ag when two letters picked without replacement from {a: 2, u: 1, g: 1, q: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7037919.\nAnswer: 3, 7, 15959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 13429135*g*q**2 - 2*g + 15*q**2 - 612673 wrt g?\nAnswer: 13429135*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 + 0)*(2*u**4 - 26 + 39 - 20) to r*u**3 + v*u**4 + t*u**2 + n + l*u and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9185 - -9189. Let y = -4 + 6. What is the highest common divisor of r and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and 8414030397?\nAnswer: 8414030396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -6. Suppose 117 = 3*u + v*c, -4*u + 4*c + 21 = -143. Suppose 2*y - u = -2*q, 2*q - 30 = -4*y + 40. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-4*(-12)\/(-105))\/((-4)\/14)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-24))\/((-6)\/(-8))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/624476795 or -1?\nAnswer: -2\/624476795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.98 + 3. Let c = 0.2615 + f. Let t = -0.29 + c. What is t rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2312 - -6182. Round y to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Let g = -13 - -13. Suppose g = q - 6 + w. Let i(j) = 2*j - 3. Give i(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2081?\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-378)\/(-70) + 18 + (-6)\/(-10). Let p be 0\/(1 + -4 - -2). Suppose 2*l - 4 - 6 = p. Solve -2*r = -l*j + 31, 3*j - k = r + 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1333 is divided by 167?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/6 and 1\/582913173?\nAnswer: 1165826346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/((-6)\/(-62)*90\/61290)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -k + 3, -4*k = -8*k - 4*l + 8. What is the fourth smallest value in 2, -0.1, k, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5830 - 5771. Calculate the remainder when 431 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/20 and -145\/2478?\nAnswer: 24780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + k - k + 61 + 9*k - 61 + (0 + 1 + 0)*(k - 1 + 1) + 3*k - 2*k - 3*k to s + w*k and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q - 8. Let a(h) = 1. Let v(t) = 5*a(t) + b(t). Give v(-4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/(-96))\/(((-4)\/5)\/(2709\/420*-8))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.7 in -2\/3, -2, 14?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/6*(-540)\/486?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 - 2)*(251*c**2 - 286*c + 5086*c**2 + 828*c - 289*c - 253*c) to u + v*c**2 + r*c and give v.\nAnswer: -21348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -50, -113, -202, -329, -506, -745?\n\"Answer: -2*d**3 - d**2 - 46*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4))**(2\/15) assuming v is positive.\nAnswer: v**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-95)\/(-57)*(8 - 6 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, o: 1, v: 1, q: 4, f: 6, i: 1}. What is prob of picking 1 f, 1 b, 1 i, and 1 v?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9124201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a millennium in decades?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3395104 and 3819492.\nAnswer: 30555936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.32 * 1017\nAnswer: 325.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -175 or 20632?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 310859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*48.7.\nAnswer: 9.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 4*o + 14, -3*o = -u + 7 - 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(3\/2)*y)*y\/y**(4\/17)*(y*y**(-7))\/y**(-3\/7) assuming y is positive.\nAnswer: y**(-1501\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u + 1. Let a be n(2). Suppose -4*m - 1193 = -3*q, -a*q - m + 2045 - 72 = 0. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6*k + 32 = 0. Let a(i) = -3*i**2 + 5*i - 7. Let l be a(4). Let r = l - -57. What is the least common multiple of k and r?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -909 + 1819 + 3*n - 910.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**2 - 40911*a + 2253130 = 0 for a.\nAnswer: -40966, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*l + 435*l**2 - 6 - 10*l + 5.\nAnswer: 435*l**2 - 67*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4571869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4 = -36. Let w(l) = 8*l**2 - 15*l + 84. What are the prime factors of w(r)?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.89 + -0.49. Let y be (-2)\/(-6) - 12\/(-45). Which is the smallest value? (a) d (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/(-27)*(-319)\/(-33) and 41\/24.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(-2*sqrt(160))*3 + (sqrt(500) - 2*sqrt(500)) + sqrt(5) + sqrt(5) + 0 + -4)**2.\nAnswer: 67*sqrt(5) + 23469\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 449460159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5058436 to the power of 1\/2, to the nearest integer?\nAnswer: 2249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1152 and 144.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -33*v**3 - v**2 + 76*v + 10. Let u(w) = w**3 + 10*w + 2. Determine i(b) - 6*u(b).\nAnswer: -39*b**3 - b**2 + 16*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 15. Let a(q) = 2*q + 29. Let f(w) = 3*a(w) + 5*v(w). Let s be f(-8). Suppose 3*k = 18 - 3. Which is smaller: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*z**2 - z**2 + 5*z**2 + 2*z to u*z**2 + r + q*z and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, j: 1, c: 1, g: 2}. Give prob of picking 1 g and 1 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 147 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: Solve 261*d - 5670 = 639*d for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 - 6 = -6*f. Suppose 0 = 8*y - f - 17. Which is smaller: y or 40\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*l, 4*m + 19 + 53 = 4*l. Suppose 0*w = -3*w. Suppose -4*h - 44 - 36 = w. Is m at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of 5*u**3\/3 - 3*u - 60. Let s(d) = 4*d**2. Calculate k(s(i)).\nAnswer: 40*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-18)*(-144)\/1092.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(76)*-2)**2*3 + (sqrt(19)*3)**2*-3 + 4*(sqrt(19) + 2 + sqrt(19)) + 2.\nAnswer: 8*sqrt(19) + 7705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -7*a**5\/20 + a**4\/6 - 5*a**3\/6 - 3*a**2 + a. Let i(m) = 6*m**3 - 2*m**2 + 4*m + 5. Give -6*i(f) - 5*o(f).\nAnswer: -f**3 + 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, d: 4, w: 6, o: 1, k: 1}. Give prob of picking 1 w and 1 o.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = i + 3*i + 4, 3*i + 5*r = 37. Calculate the remainder when 81 is divided by 3\/6*34 + i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnshaasnasaha. Give prob of sequence nnh.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349870?\nAnswer: 2, 5, 59, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 9*l**2\/2 + l - 3. Let d be 3\/(-2)*8\/(-6). Is 17 a factor of c(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.401815 to two decimal places.\nAnswer: 12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -284 + 286. Solve l*w + 4*x = -w + 6, 12 = 4*x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**5 + 236*o**2*s - 6*o*s + 41*s wrt o.\nAnswer: 40*o**3 + 472*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/6)\/(2*(-4)\/(-12)). Sort t, 1, -2 in decreasing order.\nAnswer: t, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 265461120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11764 (base 11) to base 10.\nAnswer: 16889","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 386 a factor of 151202180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 7.1?\nAnswer: 14.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 7. Let r(m) = 21*m - 29. Calculate 3*d(s) + r(s).\nAnswer: 21*s - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 212185.4 centuries?\nAnswer: 2121854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**5 + 2*b**4 - 167704*b**3 + 92022*b**2 wrt b?\nAnswer: 120*b**2 + 48*b - 1006224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3853306 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4168)\/(-2605)*105\/4.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -49*r + 727. Give h(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 168 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) + 1 + 3).\nAnswer: 2*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((-18)\/375)\/(24\/(-60))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7 (b) 2\/5 (c) -137456 (d) 5 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(36\/40))\/(2\/180). What is the hundreds digit of 41280\/c - 3\/10*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-18))\/((-49)\/441).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -354.7351 to the nearest ten.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 103, 129, 153, 169, 171?\nAnswer: 153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3290560831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.7 - 12.6. What is the biggest value in i, 0.3, -368, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 6:55 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1079, -2157, -3235, -4313?\nAnswer: -5391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225871498 is divided by 3450.\nAnswer: 3448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**6*z\/(z\/z**(-1\/2)))**(10\/7))**(-11\/7))**(12\/7) assuming z is positive.\nAnswer: z**(-7260\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112d3 (base 14) to base 11.\nAnswer: -293a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7885 - -11205. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518 = 289*a - 5551 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a + -273462a?\nAnswer: -2734639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 159\/7 + 6\/21 - 4. Let v(x) = 2*x - 35. Let j be v(t). Solve -6*y + 5*y - j = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286 and 419666?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, s: 3, m: 2, u: 6}. Give prob of sequence slss.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 2\/23 (c) 4 (d) -4 (e) 3.3 (f) 0.1409\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33.041 + -0.041. Let n = a - 15. Let z = 18.00000425 - n. What is z rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 10:47 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(882)*1)\/(sqrt(81)*6).\nAnswer: 7*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-98)\/(-20) + (-72)\/(-720). Suppose 4*k - 28644 = o, -o + 40445 = l*k + 4631. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = i - 4*l - 23, i - 13 = -5*l for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160833 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (85\/20)\/(5\/20). Let v(o) = 2*o**2 - 28*o + 34. Let f be v(r). Let k = f - 81. Calculate the highest common factor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50\/3 or 167?\nAnswer: -50\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1274 + -4 + 4 + 3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2702404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/132 and 43\/48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*l + 141, -2*n + 3*l + 87 = 2*l. Suppose f - n = -4*f. Let y be -3 - 3\/(f\/(-6)). Which is smaller: 3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 921526866 a multiple of 7564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 129, 116, 87, 36, -43, -156, -309?\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 11*t**2 - 197*t + 35. Let j be v(15). Put -0.1, j, 1, 10 in increasing order.\nAnswer: j, -0.1, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8723*b*w**2 + 4*b*w - 6*w + 17 wrt w?\nAnswer: -17446*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 2830.\nAnswer: 31130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -4. What is the common denominator of (-4)\/a*86\/8 and (-88)\/(-176)*46\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/750134 and 51\/6160.\nAnswer: 30005360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*b = 50*b - 48016 + 43886 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 2, -35?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -30*m + 180. Let n be k(6). Suppose 17*j + 0*j - 34 = n. Suppose -5*z - 2 = -4*z. What is the nearest to j in 2\/9, -0.3, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/22)\/((-17)\/(-646))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -145, 397, 1299, 2561, 4183, 6165, 8507?\n\"Answer: 180*z**2 + 2*z - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -56339578, -112679156, -169018734, -225358312, -281697890, -338037468?\n\"Answer: -56339578*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 - (4 - (-2 - 0)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14 + -1.86. What is the nearest to -0.2 in d, -4\/7, -4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j - 3*j)*((3*j**3 - 4*j**3 + 5*j**3)*(1 + j - 1) - j**4 - 4*j**4 + 0*j**4 - j**4 + 5*j**4 - 2*j**4).\nAnswer: -j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 22. Let z be l(23). Suppose -3 = -2*s + z. What is the least common multiple of 82 and s?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**2 - 3*p. Let m be o(2). What is the second derivative of m*s**2 + 8*s - 6*s**5 - 18*s**2 wrt s?\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 5\/2, 3\/7, 1 in decreasing order.\nAnswer: 5\/2, 1, 4\/7, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**4\/4 - 5*s**3\/3 - s**2 - 3*s - 4. List the prime factors of j(6).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/14 and -63\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v + 13. Let z be i(-3). Suppose -91 = -2*s - n + 105, 2*s + 5*n - 196 = 0. Calculate the remainder when s is divided by (-6)\/12 - ((-114)\/z - -3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31\/12 - -7\/3. Suppose -5*d + 2*p = 4*p, -4*d - 33 = -5*p. What is the closest to 1 in n, 1\/4, d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4756*i - 13615 - 8546 = -7893 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.0672 + 0.0672. Let d = -6.0001125 - t. What is d rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c - 937 + 973. Solve 11 = d - 2*x, -c*x = 2*d - d + 13 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 6355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 8 = 0, 5*d + 2*h = 5*h - 8740793. Let a = 2586983 + d. Let m = a + -1638822. Round m to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*((3*sqrt(931)*2 + 6*(0 + sqrt(931) - sqrt(931)))*-2)**2 + -2.\nAnswer: 804379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 5*c. Let q(p) = 2*p**3 + 3*p**2 + 5*p + 8. Let t(g) = g**3 + g**2. Let o(u) = -q(u) + 3*t(u). Let j be o(-2). What is r(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*j + 9. Let r be (-10)\/j*(-6)\/4. Let m(a) = 11*a**2 - a. Let u be m(-1). Solve g = r*g - u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 1) + 4\/4. Suppose -3*s + 818 = -2*m, 0*s + 532 = 2*s + t*m. Suppose -4*v - 187 = o - 4*o, 4*o - s = -5*v. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6556*z**3 - 2227*z**3 - 2192*z**3 - 5*z + 5*z - 2172*z**3.\nAnswer: -35*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6858875 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 43*k**2 + 2*k - 1. Let n be l(-3). Let q = 10474 + -167529\/16. Calculate the common denominator of 2\/8 + n\/(-64) and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-14)*12992\/696.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22962 and 228?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.038 - 0.03754. What is q rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -428933 and -0.2.\nAnswer: 85786.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/2*7\/28*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/7*1 + (-7013)\/(-3556). Let g = 1\/127 - z. Find the common denominator of g and 27\/77.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -6*c**2 + 17*c. Let i(d) = -2*d**2 + 6*d. Let o be (-4)\/20 - (-87)\/(-15). Calculate o*m(t) + 17*i(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(48) + 4 + sqrt(7)*1)**2 - 4*(sqrt(14)\/((sqrt(4)*-2 - sqrt(4))\/sqrt(2)))**2.\nAnswer: 3431\/144 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -4*a + 12 - 1, -4*z + 6 = -3*a. Solve -a*j = 4, g = -4*j - 9 + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 9, 5*i + 0*i = 5*m - 140. Let c be 3 + 6*m\/15. Solve 2*y = 3*w, -5*y + 5*w = 4*w - c for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3794 - 15814 = 0. Let d be r\/(-16) + 1 + -1. Let p = 758 + d. Find the common denominator of 49\/16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, y: 3}. Give prob of sequence pypy.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uurqruqarrrrrur. Give prob of sequence ar.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 297 - 291. What is the lowest common multiple of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (5 - -4))*(-1 - -2). Let i(z) be the third derivative of z**5\/30 + 13*z**4\/24 + 8*z**3\/3 + z**2. What are the prime factors of i(g)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.019 * -0.0871.\nAnswer: -0.0016549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52587*o**2 + 2*o + 618539 wrt o.\nAnswer: -105174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*q = 4*c + 68*q - 112*q + 10, -2*c - 12 = -2*q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137093 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 28, 31, 38, 49, 64, 83, 106?\n\"Answer: 2*g**2 - 3*g + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 598861009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191052 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, q: 5, n: 12}. Give prob of sequence xq.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 54\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -62 - -60. Is (1002 - 2) + (-2 - (-2 - l)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of -c**7\/1260 - c**6\/360 + c**5\/120 + 3*c**4\/4 - 8*c**2. Let a(k) be the second derivative of t(k). Give a(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -39? (a) 5 (b) -8\/5 (c) 2\/79 (d) 0 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 72830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, k: 3}. Give prob of sequence kkw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*v - 3*h - 40, 0 = 4*h. Suppose 4*t - 4 - v = 0. Suppose -k - 2*s = 4*k - 84, -54 = -3*k - t*s. Is k a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2637?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -77, 0.3, 3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yttaataa. What is prob of picking 1 a and 1 y?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 8*y. Let g be y\/(-4) + -3 + 11. Let a = 3 + g. What is the remainder when 41 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d - 7*d)*(-d + 2*d + d)*(-2*d - 6 + 1 + 4).\nAnswer: 20*d**3 + 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -1 (c) -3 (d) 3\/7 (e) -72356\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/10580 and -69\/331364?\nAnswer: 876457780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 485 - 452. Calculate the highest common factor of 132 and r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 1:26 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - 427 + 336 + 99.\nAnswer: -j + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 114435 divided by 7629\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -67\/87 - -3\/29. Let o = -0.5004 - -0.0004. Let d = -2.129 + 0.129. What is the closest to 0 in d, o, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 11694546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -19. Let n = f + -14. Suppose 12 = 4*q - 20. What is the remainder when n is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 4*s**3 - 2*s**3 + 0*s**3 - s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19728549?\nAnswer: 3, 23, 31769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 69406 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 1934.\nAnswer: 2, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21, -62, -103, -144, -185?\n\"Answer: -41*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*o + 3*o = -23, -3*t = -3*o - 3. Let r(v) = v**2 + 4*v + 4. Calculate r(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -4*s**5 + 388304*s**4 - 9417922392*s**3 - 282899298224*s**2 + 292316832316*s = 0.\nAnswer: -31, 0, 1, 48553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/23, -0.0319, 1\/17, 2\/9?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 147188201 and 138.\nAnswer: 883129206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(800) - sqrt(2)) + sqrt(2)).\nAnswer: -120*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 8:26 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 9 = -2*n. Suppose -n*f + 14 = -f. What is the second derivative of u + 2*u**2 - f*u + 3*u wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 - 36. Let z = -11 + q. Suppose 0 = -3*s - 2*j + 41, z*s - 49 = j + 2. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194*r**3 - 22*r**2 - 6?\nAnswer: 1164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m**2 - 3*m - 3. Let s(o) = -17*o**2 - 12*o - 13. Let u(q) = 26*d(q) - 6*s(q). Find the second derivative of u(a) wrt a.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -177.57546 * -21\nAnswer: 3729.08466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9216 + -4945. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + -2 - (-128)\/40. Put 1.5, 3\/8, h in increasing order.\nAnswer: h, 3\/8, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6bdc11 (base 15) in base 8?\nAnswer: 23535444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12822.158 rounded to the nearest one hundred?\nAnswer: -12800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/56 and 5\/3598?\nAnswer: 14392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 115855626?\nAnswer: 231711252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, 1, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 55 = -5*r. Let n be -1*(6\/(-2) + 1). Sort n, -3, r in ascending order.\nAnswer: -3, n, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5439, 7417, 9379, 11325, 13255?\nAnswer: 15169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 288\/252*(-105)\/(-720)*798\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-44))**(3\/40) assuming h is positive.\nAnswer: h**(-129\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66547811, -133095631, -199643455, -266191283, -332739115?\nAnswer: -399286951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1\/n*n*n)**(2\/37)*n**(-6)\/((n*n**(-5))\/n))\/((n*n*(n\/(n\/n**(1\/2)))\/n*n**(-3\/8)\/n*n)\/(n**7\/n*n**(4\/5))) assuming n is positive.\nAnswer: n**(7079\/1480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22932*b**4*v + 34*b**2*o*v - 17*b**2*v - 2*b*o - b*v + 10*b + 161*o*v - 13 wrt b?\nAnswer: -275184*b**2*v + 68*o*v - 34*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 1:32 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31838*c**3 - c**2 + 11102*c + 3 wrt c?\nAnswer: 191028*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33297385 and 0.5.\nAnswer: 16648692.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2629764 and 47464.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -64, -9, 2\/15, -8, 1, 0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**(-17)))\/x**15)**(-14))**(1\/5) assuming x is positive.\nAnswer: x**(448\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 7*q**2 + q - 7. Let t be c(7). Suppose t = -7*u + 6*u + 4. Solve -2*b = -4*o + 11 - 1, u*b + 20 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15 * 0.06.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5336 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39519634 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 46035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.01 (b) 0.14 (c) -5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5339*n - 2631*n - 3006*n)*(n**2 + 3 - 3) - 2*n**3 + 2 - 2 in the form p + z*n + d*n**2 + y*n**3 and give y.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a century in months?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ziz when three letters picked without replacement from ziiziiiiziiziziiii.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/21, 200949966 in ascending order.\nAnswer: -3, 2\/21, 200949966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 0*o - 1\/5*o**5 + 0*o**3 - 3*o**2 + 0 + 1\/3*o**4 + 1\/30*o**6. Solve r(k) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 348 - 356. Let w = 69 + -63. Let v(g) = -w + 0*g + g - 5 + 3. Give v(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1263 - 764. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4274 - 4273.7. Suppose 2*d = -5*h - 83, 0*h - h + 4*d + 1 = 0. Let j = -5 + 1. Which is the third biggest value? (a) j (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 126358 = -126358. Let f be -1 - 2\/(-18) - -1. Put -6, f, p in descending order.\nAnswer: f, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 2.649?\nAnswer: -5.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4788 = 118*v + 143*v + 138*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2750*a**3*s**3 - 4161*a**3*s**2 + 5*a**3 - 738*a**2*s**4 + 19*a*s**2 wrt s.\nAnswer: -16500*a**3 - 17712*a**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 40540.\nAnswer: 1\/40540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -1\/7, 3\/5, -5, 58, -2\/35?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) -4 (b) 5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/45, 2\/15, -6 in ascending order.\nAnswer: -6, -1\/45, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3809? (a) 5 (b) 2 (c) -1762\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 46*d + 8. Let p be (-60)\/(-9) + 2\/6. Let z be q(p). What is z rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146 - 118. Suppose 19*n - 26*n = p. Suppose 3*b = 3*q + 6, -1 = -2*q + 4*b + 1. What is the nearest to 0 in 0.2, n, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -133 + 251. Let x = 118.915538 + -0.91537. Let k = x - o. What is k rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -325367*i**3 + 208*i + 382?\nAnswer: -1952202*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*c = -4, -c + 9 = 7*q - 2*q. Sort 1, q, -10 in increasing order.\nAnswer: -10, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 3\/10*2. Let d be (-56)\/42*(45\/(-4))\/3. Which is smaller: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*t - 82 + 82)*(2 + 34*t + 1 - 3).\nAnswer: -680*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2002 (base 4) to base 13\nAnswer: a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 289*a**3*f**2 + 51*a**2*f**2 + a**2 - 2*f**2 wrt a?\nAnswer: 1734*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -35*-2*(-3)\/(-6). What is the derivative of 64 - 19 + d*r**4 + 9*r**4 wrt r?\nAnswer: 176*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 = 1. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 6*u**2 - 6*u + 8. Let p be m(-7). Let x be 2 - 24 - (p + 0). Is (-4)\/2 - (x - 724) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -2. Let y be (0 + -3 - a)*1. Let d = 13 + -27\/2. Which is greater: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 25 - 7 = 0. Let p(o) = -o**2 + 11*o + 8. Let q be p(n). Suppose 22 + q = 2*f. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 251 + -755\/3. What is the biggest value in -0.2, 2\/5, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16 - 0)\/((-6)\/9). Let r be (l - -1)*(5 - 7). Suppose a = -4*n + 40, 2*n - 2*a - r + 16 = 0. Solve 7*d - 9 = 4*d, 5*d - n = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7*p**2 - 222*p + 603. Give q(29).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.52878183 rounded to three decimal places?\nAnswer: -0.529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359037 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*r + 1050*r + 948*r + 4 + 12 + 1108*r.\nAnswer: 3355*r + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6690 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + 2 + 2 + -1)**2*5 + (1 + (sqrt(288) + -1)*6 + 1*sqrt(288)*-1)**2.\nAnswer: -240*sqrt(2) + 8710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pnrln. What is prob of sequence rprr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -10*l - 198. Give b(-22).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -10 - 10*j - 7*j**2 - j**3 + 0*j**3 - 3*j**2. Let s be k(-9). Let u be ((-600000)\/3)\/(s\/(-6)). Round u to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*12.\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k - 2. Suppose 3*u = -7 + 1. Let w = 4 + u. Suppose w*o - 2*x - 10 = 0, 5 = o + x - 0. Calculate q(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*r - 45 = -84*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 313\/8. Find the common denominator of 23\/12 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 15 = 0, 5*m = r - 29 - 38. Let p = 20 + m. What is the highest common factor of p and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3621*o - 5 + 3673*o.\nAnswer: 52*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 + 5*y - 33. Let t(o) = 4*o**3 - 12*o + 66. Determine 9*l(u) + 4*t(u).\nAnswer: -2*u**3 - 3*u - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upuddppuuuppp. What is prob of picking 2 p?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -69 - -110. Let h = 39 - j. What is the units digit of (h\/(-4))\/((-8)\/(-1424))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115 - 76*l + 12 - 20 - 142 with respect to l.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 61 - (3 - 2)\/1. Let a be 22\/o + 1\/(-5). What is the nearest to -1\/4 in -1\/3, 3, a?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0.2, 2\/17, 1\/43, -1456, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, w: 3}. Give prob of sequence tw.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108021678847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.110229753 rounded to four dps?\nAnswer: 2.1102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4*((1*sqrt(1800) - sqrt(1800) - sqrt(1800))\/sqrt(6) - (-2 + -1*sqrt(3)*-5))**2*-2.\nAnswer: -5432 + 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1631652487 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6, -20, -4, -2.994?\nAnswer: -2.994","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 402654 to the nearest integer?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 61195115389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/11 in 0.27, 1\/2, -3?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 67a648 (base 12) to base 4\nAnswer: 12110120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(130))\/sqrt(10) + ((-2*sqrt(117) - sqrt(117))\/sqrt(9) - sqrt(13))**2 + 1.\nAnswer: 12*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 53*d**4\/2 + 142*d**3\/3 - 215. Find the third derivative of k(y) wrt y.\nAnswer: 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.977 - -0.023. Which is the closest to -15? (a) p (b) -0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.1 (b) 2 (c) -1.4 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*3\/((-6)\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40*(2 - 3\/3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 5*d - 32 = 13, -q + 4*d + 19 = 0. Suppose 0 = -5*w + q - 731. Let f be w\/78 - (-2)\/(-13). Put f, 1, 0 in descending order.\nAnswer: 1, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -390 + 386. Which is the closest to 2\/3? (a) g (b) 3\/2 (c) 103 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31\/4 in -2\/23, -957, 3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -3*g + 108, 0 = j + 4*g + 17 - 57. Suppose 0 = -206*o + 200*o - j. Let f = -0.26 + -0.04. What is the closest to -2 in -3, f, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 973 - 1*((-13 - -3) + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2364*p + 374 wrt p?\nAnswer: 2364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -1276.\nAnswer: -3\/1276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2679218743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7717465?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1224856339 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (15 + 6 - 12 - 15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 21*v + 44. What is the remainder when 55 is divided by x(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2043490 divided by -1129?\nAnswer: 1810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/30)\/(-2*(-3)\/330). Let y(m) = -m**3 + 21*m**2 + 28*m - 4. What is the tens digit of y(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -12*g + 2. Let h be f(4). Does 29 divide 2*-2 - -1 - h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -41*v**3 + 8*v**2 + 214*v + 404. Give w(-2).\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t - 3. Let h(u) = 14*u**2 + 24. Let f(v) = -9*v**2 - 15. Let g(j) = -8*f(j) - 5*h(j). Determine g(a(k)).\nAnswer: 162*k**2 - 108*k + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = 2*c - 133. Suppose -5*x - 2*z = -c, -10*x + 9*x + 5*z + 44 = 0. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31171128.\nAnswer: 2, 3, 1298797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 11*i - 12. Let f be v(-9). Let y = 23 + -19. Solve 2 + f = -y*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -221, -288, -369, -470, -597?\n\"Answer: -g**3 - g**2 - 57*g - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 360956607 divided by -120318869?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -183 - 375?\nAnswer: -568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + sqrt(1331) + -5 + (1*-3*sqrt(44)*6)**2.\nAnswer: 11*sqrt(11) + 14253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*q**2 + 10308 - 20622 + 10314 to f + x*q + h*q**2 and give h.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -31, -136, -313, -562, -883?\n\"Answer: -36*j**2 + 3*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19749, -21297, -23877, -27489, -32133, -37809, -44517?\nAnswer: -52257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 99243 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: Solve -2*u - 5*r - 75 = 0, 0*u + r + r - 45 = 2*u + r for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*y - 21*y + 2 = -a, 0 = -2*a + 4*y - 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 6, z: 7}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -377016\nAnswer: -1\/125672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/10 + 54*o**2 - 14547*o\/10 + 47827\/5.\nAnswer: (o - 13)**2*(o + 566)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4, -118, 3, -2 in ascending order.\nAnswer: -118, -9, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0581 + -1.0581. Is z < -448?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 + -1 + 2 + (-123 - -35 - -75)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2424, 8455, 18556, 32733, 50992?\n\"Answer: t**3 + 2029*t**2 - 63*t + 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26\/(-9)*(-17115)\/10 + (-1)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 5*b**2 - 3. Let u be n(5). Let v be (2 + -1 + u)*-2. What is the second derivative of -h + 0*h**v - h**4 + 0*h wrt h?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 5:57 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/24*-3*46 + 1. Calculate the highest common factor of 36 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 115 = 5*i, 4*j = 3*i + 97 - 23. Let l be ((-16)\/5)\/(i\/45). Let t be l\/28 + 20\/28. Sort t, -4, 5 in ascending order.\nAnswer: -4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 165*p - 329*p + 164*p - 423*p**3 + 2242 wrt p.\nAnswer: -1269*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.98305247 to three decimal places.\nAnswer: 5.983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -36*z - 3\/4*z**3 + 48 + 9*z**2 = 0. What is z?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 961 (base 14) to base 7\nAnswer: 5251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 325249129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**3\/2 - h**2 + 3*h. Let a(r) = 4*r + 2. Give 4*a(v) + 5*b(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 e when three letters picked without replacement from eezz?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - q + 2 = 0, q = 6*o - 2*o - 13 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 190.93507891 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (528369\/(-6))\/(2\/4). Let b = o + -583877. Round b to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -167280 - -284731. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1 + sqrt(7) + sqrt(7) + 4)*-4 + 0 + 4)**2.\nAnswer: 80*sqrt(7) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 5*z + 2*j - 35, 5*j + 27 = z. Suppose -s + 3*r + 8 = 0, 14 = 5*s + r - 3*r. Factor s*d + d + 2*d**2 - d**z + 5 - 3.\nAnswer: (d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2520 (base 9) to base 8.\nAnswer: 3531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-15))\/(36\/(-80)) + 74\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8 - -31) + -7 - 1) + -56.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.11 + 6.11. Which is the nearest to 3? (a) 1\/2 (b) s (c) 9 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 112 - -1964?\nAnswer: 1a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus 36.1?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9743*l - 109. What is the units digit of r(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Suppose -3*v + q*v = 0. Calculate the least common multiple of 2 and 2 - (-16)\/(v - -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -5\/21*q**7 + 22\/3*q**3 + 15*q + 0*q**2 + 19\/5*q**6 - 19\/2*q**4 - 2 - 17\/10*q**5. Find h such that c(h) = 0.\nAnswer: -1, 0, 2\/5, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6454.27552 - -6454. Round b to 3 dps.\nAnswer: -0.276","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2998 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000039781558 to seven dps.\nAnswer: 0.0000398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*y**5 - 46*y**4 + 4496*y**3 - 1424*y**2 - 481760*y - 319200 = 0. What is y?\nAnswer: -30, -10, -2\/3, 14, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 115.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*t - 4*s = 220, 4*t - 255 = -3*s. Let g be ((-7)\/(-4) - 1) + 435\/t. What is the first derivative of 1 - 7 - g*o**2 + 2 wrt o?\nAnswer: -16*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 131 - 145. Is -14 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -2, 2, -0.08, 3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/189 + (-2272)\/840?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8230, 16439, 24648, 32857, 41066?\n\"Answer: 8209*h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2180463, 4360926, 6541389, 8721852?\nAnswer: 10902315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -329 - -335. Calculate the highest common divisor of 582 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of 1\/20*v**5 + 1\/2*v**3 + 0*v + 0 + 2*v**2 + 1\/4*v**4. Let y(t) = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 17*q + 51. What is the remainder when x(-21) is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 - -71) + 7 - -6?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 243528480 and 520?\nAnswer: 243528480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9711 divided by -13.\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 0*p**2 + 1\/2*p**4 + 0 + 0*p**5 - 23\/42*p**7 + 0*p**6 + 0*p**3 - 21*p. What is the third derivative of h(j) wrt j?\nAnswer: -1380*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -0.1268 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x + 11. Let v(c) = 8*c - 2. Let u(r) = -2*r + 1. Let d(b) = 3*u(b) + v(b). Let j(p) = -2*d(p) - i(p). What is j(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 11:02 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1006774 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -35725.568 rounded to the nearest 100?\nAnswer: -35700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)\/((n*n*n\/n**(1\/15)*n)\/n))\/(n\/(n\/n**(1\/4)*n*n)*n)**(-19\/5)*(n**(-6)*n**(-2\/9))\/(n*n**0*(n**(2\/9)*n)\/n) assuming n is positive.\nAnswer: n**(-2417\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 + 141. Calculate the highest common factor of 5 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dcccidchddcdhdhdddud. What is prob of picking 1 c, 1 u, and 1 h?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -835 - -1282. Round q to the nearest 10.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330.4773 decades in millennia?\nAnswer: 3.304773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/2041 and 11\/507?\nAnswer: 79599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-8\/5)*b*b*b*b)\/b)**(-31\/5)*b**(1\/41)*b*b*b\/(b*b\/((b**(1\/2)*b)\/b))*b assuming b is positive.\nAnswer: b**(-25329\/2050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 - (8\/5)\/2. Suppose 14 = 4*g - 2*m, 4*m - 16 - 11 = -3*g. Suppose 0 = q - g*q - 4. Which is the third smallest value? (a) q (b) k (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)*s\/s**(-32)*s)**(-46) assuming s is positive.\nAnswer: s**(-4646\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 0.1, 1\/1096 in descending order.\nAnswer: 0.1, 1\/1096, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 547*p - 544*p - 15. Let s(y) = -5*y + 2*y + 2 - 7. Determine s(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4210 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 6*i**2 + 8*i + 11. Let f be v(-7). List the prime factors of -3 - (4 - 324\/f).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -40 + (35 - 33 - -32)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 20 = v - 0*t, -v - 16 = 4*t. What is the second derivative of -40*n**4 + 17*n + 15*n**4 - 56*n**4 + v*n**4 wrt n?\nAnswer: -972*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -618601*y**2 - 338857 wrt y.\nAnswer: -1237202*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + 4 + -2 + 2 + sqrt(1300) + 3 + -1)**2.\nAnswer: 60*sqrt(13) + 1309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 5*t**4\/4 - 35*t**3\/3 - 85*t**2\/2 - 45*t + 69. Factor c(u).\nAnswer: 5*(u - 9)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2054.547 - -2056. Let p = -0.801 - r. Let t = 0.046 - p. What is t rounded to zero decimal places?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/5)\/((w*w**(-5)\/w*w)\/w))**(1\/13)\/(((w\/(w\/(w**(-1\/7)*w)*w)*w)\/(w**5*w))\/(w**(-5)*w**(-2))) assuming w is positive.\nAnswer: w**(-649\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 992 + -933.7. Let a = 2.759 - 68.759. Let y = a + h. What is y rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**4 + 110 + 40 + 2*r**4 + 2*r - 36 to f + v*r**2 + a*r**4 + d*r + s*r**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -k + 89, 10*k - 7*k = 2*b + 263. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + o. Let z(i) = -i**2 + i. Let n(d) = 3*r(d) - 2*z(d). Let f be (-5)\/(-4) - (45\/20 + -3). Give n(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eight thirds of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75.3 + 78.3. Suppose 6*n = 8*n - 8. What is the third smallest value in y, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 - -107. Suppose g = 10*l - 512 - 48. Let m(i) = -i**3 + 3*i**2 + 2*i + 1. Let k be m(3). Calculate the highest common divisor of l and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17041 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2315*v + 318*v**2 + 154058 - 155108 - 35*v**3 + 12*v**2 = 0.\nAnswer: -5, 3\/7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.377 + 3.377. What is the smallest value in t, -4, 4\/57, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 837, 813, 759, 663, 513, 297?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45986*c**3 - 2*c**2 + 6551*c - 12 wrt c?\nAnswer: -275916*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 496737?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**5\/9 + 29*d**4\/9 + 71*d**3\/9 - 277*d**2\/9 - 70*d\/9 + 248\/9 = 0. Calculate d.\nAnswer: -4, -1, 1, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/1980*-3270)\/(19\/6 + -3).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9063 and -3.1.\nAnswer: -9066.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 15 = -55. Suppose -23*p + z + 976 = -20*p, 3*z - 1650 = -m*p. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 7*n**2 + 38. Let b be m(-6). Suppose -8*o = -5*z - 4*o + 1307, 0 = b*z - o - 524. Is z a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(68)\/sqrt(4)) + 5 + sqrt(17) + 0 + -4 + -1 + sqrt(425)*-3 + -5.\nAnswer: -14*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 8, 2, -0.02?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/23 + (-11074)\/(-2254). Solve 4*l + 2 = 2*a, 0*l = -q*a - 5*l - 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4884)\/(-18) - -4 - (-6)\/(-18)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 38 + 38 = 0. Solve d = 3*b - b + 2*t + 8, -3*t - 15 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 5 (b) -2\/17 (c) 4\/5 (d) 339\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1134823?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/651 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 12*n - 2. Let g be m(-11). Let v = g - 7. Suppose 0 = 2*z + v*t - 17 - 41, 3*t + 33 = 2*z. What is the greatest common divisor of z and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -443 - -343?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 525*d**3 - 3*d + 2487 wrt d.\nAnswer: 1575*d**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13058*b*h**2 + 3*b*h*t + b*t - h**2*t - 6*h*t - h + 2*t wrt h.\nAnswer: 26116*b - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f + 6. Let h be l(-4). Is 1\/2 + (-34111)\/h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3541520 (base 7) to base 15.\nAnswer: 8c778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 959.1789ml in litres?\nAnswer: 0.9591789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*h + 0*h + 2*h)*(5*h**3 - 3*h**3 - h**3) - 3*h**4 + 4*h**4 + 0*h**4 + 2*h**4 + 23 - 23 + h**4 + 5*h**2 - 5*h**2)*(-2 + 2*h + 2).\nAnswer: 4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 168420 - 117386 = -42104. What is the ten thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 433 - 397. Calculate the remainder when 61 is divided by h.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.12 + 2.88. Let d = 0.5 + 0. Which is the smallest value? (a) 4\/7 (b) x (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 504866 and 3281629?\nAnswer: 6563258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 7*i - 8. Let v(n) = -n**2 - n. Let d(u) = -6*v(u) - z(u). Give d(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/8 + (2 - 148\/28). Put -5\/2, -0.1, j in ascending order.\nAnswer: -5\/2, j, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/2544 and 68\/159.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-3 + -1*10\/(-5)). Let y(b) = 0*b + b**3 + 9*b**2 + 2*b - t*b**2 + b. Give y(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.89947 rounded to one decimal place?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.68447t to grams.\nAnswer: 20684470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.3 + -3?\nAnswer: -81.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 26. Suppose 15*o - 11*o = -12. Let a be (11\/o - -4)*0\/2. Calculate d(a).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -152 - -170. Suppose -2*m + 3450 = -4*q, b*q - 13*q + 4290 = -2*m. What is q rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v + 89 = 109 - 290 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*m + 33*m - 68*m - 43433. Calculate the highest common divisor of 52 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2093 + 2135.45. Let x = p + -0.45. Let r = 41 - x. Which is the closest to r? (a) -1\/2 (b) 0.5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 59*t - 465. Does 25 divide b(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*92*72\/225216?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 - 6. Determine u(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 - 44. What is the remainder when 81 is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(16)\/(sqrt(56)\/sqrt(7) + sqrt(8)))**2 + 5*(sqrt(4) - (sqrt(4) + -5*sqrt(4) + sqrt(4)))\/sqrt(2).\nAnswer: 9\/2 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4 = -0*a + 3*a, 0 = -3*l + 5*a - 8. What is the derivative of -2 - 4*u**4 + u**l + 8 wrt u?\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/(-90))\/(2\/(-18)). Suppose -o = -4*c - 23, -167 = -x - 2*c. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, n: 9, x: 1}. What is prob of sequence jn?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 - -130. Suppose 3*f + a - 98 = 0. Let 1\/4*k + 0 + 1\/4*k**f = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2697 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a decade?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4711695440?\nAnswer: 2, 5, 37, 349, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from zdzozdsgdzzdkzksozz?\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*k = -74*k + 33. Let v = -184 + 184.3. Sort v, 5, k in increasing order.\nAnswer: v, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -2. Let t(a) = 5*a - 222. Let y be t(44). Put x, 7, 1, y in increasing order.\nAnswer: y, 1, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 9*f - 4*f**2)*(f + 2*f + 2*f)*(-4 + 1 + 0) + 3*f**3 + 5*f**3 - 4*f**3 to the form h*f**2 + v*f + b + d*f**3 and give h.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -25544 (base 6) to base 3\nAnswer: -12022201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - l + 4*l + (-3 + 0 - 2)*(-6 + 6 - l))*(6 - 6 - 3*l**4).\nAnswer: -12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*s - 20. Suppose r = -k - 4*k + 67, -r = -2*k - 46. Suppose -4*a - 12 = -r. Solve t - 2*t - a = 5*f, -s*t - 3*f + 16 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4078104402.\nAnswer: 2, 3, 233, 2917099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 13 (b) -3\/46 (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 18*j**2 - 35*j - 110. What is v(-16)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 7*a + 4*a - 5*a - 3*a - a. Let q(n) = 426*n. Determine q(p(m)).\nAnswer: 852*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*w = -76*w + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 12*g**2 - 9*g - 23. Let h be s(11). Let o(l) = -3*l + 11. Calculate the remainder when 41 is divided by o(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49152 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjzm when four letters picked without replacement from {x: 1, j: 6, z: 2, m: 3, g: 1}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3123 + -3122.4. Which is the fourth smallest value? (a) 4\/13 (b) u (c) 0.2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**2 + 440445*p - 880878 = 0. Calculate p.\nAnswer: 2, 146813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 3*s**2 + s - 3. Let b(v) = -5*v**2 + v - 5. Determine 3*b(y) - 5*r(y).\nAnswer: -5*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206516225 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-2) + 1 + 1. Let m = 3 - 1. Suppose -3*f + 23 = a, m*a - 11 - 27 = -s*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j. Let c be t(1). Suppose -c*m = m. Suppose 3*g - 42 = -m. What is the least common multiple of g and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4 = 3*c - 11, -3*y = 5*c - 59. What is the remainder when 37 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**10*p*p**(1\/3)*(p**(1\/2)*p)**(-4\/25) assuming p is positive.\nAnswer: p**(832\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {i: 4, k: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 - -0.055.\nAnswer: -52.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2856.804 weeks?\nAnswer: 1727795059200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by 5?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 7. Suppose -b*d - u + 188 = -4*u, 3*d = u + 141. What is the remainder when d is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3683.6852 + -3682. Let o = q - 0.191. Let h = o - 1.5. What is h rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 + (-2816723)\/(-35) - (-2)\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/6 + 2869543*j\/6 + 2869541\/3.\nAnswer: (j + 2)*(j + 2869541)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8850 and 983075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 7. Let a(m) = m**2 - m - 8. Let c(r) = 4*a(r) - 5*y(r). Give c(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**4*g**3 - 974*d**3*g**3 - 2*d*g**3 - 4*d + 320*g**3 wrt d?\nAnswer: 48*d**2*g**3 - 5844*d*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82375.04nm in centimeters?\nAnswer: 0.008237504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert e65 (base 16) to base 14.\nAnswer: 14b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -239 + 239.255. Let g = u + -4.255. Which is the third smallest value? (a) -0.2 (b) g (c) 5\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*n - 76972928 = 14119331. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1428615603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 2 + -4)\/(-1). Let f(a) = -2*a**2 - c - 5*a - 4*a - a**3 + 10*a + 3*a. Determine f(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + b + 1740 = 0. Let a = -168 + b. What is the greatest common divisor of 10 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 1. Let o(z) = 4*z - 4. Suppose f + 4*h - 14 = -0*h, 16 = 5*f + 2*h. Suppose 5*v + 3*k + k - 5 = 0, 0 = f*v - 5*k - 2. What is v*o(u) + 2*t(u)?\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 12:13 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llle when four letters picked without replacement from jljljujjejjlujljjjj.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*j**3 + 16*j**3 + 27*j**3)*(-18*j + 81*j - 10*j + 54*j).\nAnswer: -2889*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2398 + -2397. What is the nearest to w in -22, -0.3, 2, 13\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*d = -x - 271, -3*x = -4*d + 161. Let t = -25 - x. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 - 47. What are the prime factors of a?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19 or -6\/31?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172, 3, -3, 1.1, 312.\nAnswer: -172, -3, 1.1, 3, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 603*i**2 - 12*i - 2. Let h be ((-112)\/(-48))\/(1\/(-3)). Is u(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - o - 2. Let l be h(-5). Suppose 4*x + l = -0*x. Let t(m) = m**2 + 8*m + 9. What is the units digit of t(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -10, -288, 4 in increasing order.\nAnswer: -288, -10, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29.2 - 29. What is the nearest to 0 in g, 5, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 8*c**2 + 356*c - 3312. Give y(9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 371035 rounded to the nearest one thousand?\nAnswer: 371000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -3, 6, -2 in ascending order.\nAnswer: -11, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 10:45 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i + 6*i**2 + 5*i + 7*i**2 as q + n*i + o*i**2 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b - b + 6*b - b + 20*b.\nAnswer: 31*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 135769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r + 2197 = 442. Let y = r - -3117\/16. Let h = -1032\/7 + 992\/7. What is the common denominator of h and y?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -87? (a) 0.5 (b) 0.3 (c) -7\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 15*h**3 - 18*h**2 + 5*h + 5. Let i(v) = -17*v**3 + 19*v**2 - 6*v - 6. Give 5*i(m) + 6*w(m).\nAnswer: 5*m**3 - 13*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*l = -43*l + 134. Suppose -5*g + 196 = -n - 123, -g = 3*n - l. Suppose 3*k - g = -k. What is the least common multiple of k and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + (-44 - -7) + 28?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**3 + j**2 - 8*j + 5. Let a(u) be the first derivative of -u**4\/2 - u**3\/3 + 7*u**2\/2 - 4*u - 2. Determine 5*a(g) + 4*c(g).\nAnswer: 2*g**3 - g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 z, and 2 d when four letters picked without replacement from {d: 3, g: 1, z: 2, w: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1 + -10 + 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6275905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1470)\/sqrt(10) - sqrt(3)))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - 3*g - g + (4*g + 0*g - 2*g)*(-1 + 1 + 2))*(-9*g - 13*g - g) in the form n*g**2 + r*g + q and give n.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -28*11 + (208\/(-234) - (-1)\/(-9)). Sort a, 5, -10 in decreasing order.\nAnswer: 5, -10, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1092560 and 437024?\nAnswer: 2185120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.011 and 2543?\nAnswer: -27.973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 5*b - 3. Let x be n(3). Suppose 0*r + 39 = -x*r. Round r to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45, -71, -79, -69, -41, 5, 69?\n\"Answer: 9*y**2 - 53*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 1\/6*p**3 + 0 - 2*p + 0*p**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: In base 14, what is 58 + -2?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzczzcz. Give prob of picking 2 c.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1698076886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 91393194 and 1423570.\nAnswer: 456965970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.59 + -0.39. What is the second biggest value in 0.7, 4, w?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3844, 4041, 4368, 4825, 5412, 6129?\nAnswer: 6976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9149885077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1 = 5*h, 4 = 4*u - 0*u + 4*h. Suppose -u - 5 = -3*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532356 is divided by 16131.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, -0.02, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7, -19, -39, -67, -103, -147, -199?\n\"Answer: -4*p**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 not equal to -1\/1243164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78*a**6 - 4*a**4*s**2 + 10*a**2*s**2 + 17*a*s**2 + a*s wrt a?\nAnswer: -9360*a**3 - 96*a*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i + 6*i + 16 = 0. Let b(z) = z**2 + 3*z + 7*z - 8*z + 2 + z**3. Let v be b(0). Solve 0 = -4*x - i*f + v, 2*x - 9 = 4*x + 3*f for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 z when four letters picked without replacement from wzzwwfwzwssfwwwwzz?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*v + 153, -2 = s - 3. Suppose 5*q = -2*g + v, 5*g - 2*q - 90 = 112. What is the least common multiple of g and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10516.97 from -8.\nAnswer: 10508.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v = 18. Let t be 72\/90*-10*2\/(-4). Find the second derivative of 1 - 5 - 6*c - v*c**3 + t wrt c.\nAnswer: -36*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, -3, 2, 0 in descending order.\nAnswer: 65, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14331453407 + 1?\nAnswer: -14331453406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7545391.\nAnswer: 7, 1077913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -7*c - 1. Let l be z(2). Let p = l - -30. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 - -87. Let p(j) = -h - 45*j + 19*j - 2 + 27*j. Give p(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nf when two letters picked without replacement from pfn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/110*10\/3. Which is the smallest value? (a) -0.2 (b) y (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96119920 to the power of 1\/2, to the nearest integer?\nAnswer: 9804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, t: 9}. Give prob of sequence tttz.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = r, -5*r = -0*r - 42*b + 41*b for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -126 - -136. Suppose -c*f = -f - 729. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2. Let o = 9544 - 9540. Let q(l) = 3*l. Let a(w) be the third derivative of w**4\/24 + w**2. Let m(y) = o*q(y) - 3*a(y). Determine b(m(v)).\nAnswer: 162*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12333185.\nAnswer: 5, 19, 197, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4311)\/16765)\/((0 - -2) + (-145)\/70). Suppose -3*v + f*v**3 + 24\/5*v**2 - 6\/5*v**4 - 3\/5*v**5 - 18\/5 = 0. Calculate v.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 10*u**2 - 144*u - 2619. What is v(8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 247, -14487, -5 in decreasing order.\nAnswer: 247, -2, -5, -14487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253 + 751 - 246 - 252 - 15*m.\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -54. Put t, -2, 5 in decreasing order.\nAnswer: 5, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 14\/967?\nAnswer: 14\/967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 10596022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 54.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4414 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13466)\/6*(-74)\/222. Let d = n + -748. Is d smaller than 0.28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -i - 5*f - 1, 4*f + 24 = -2*i. Let v = i + 10. Let g(p) = -p**3 - 11*p**2 + 9*p - 3. What is the units digit of g(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-10 - 7) - (1 - 27).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.0426 nanometers to meters.\nAnswer: 0.0000000270426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 8:41 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 130679687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 3*k - 157 + 10, 0 = 3*w - 5*k - 85. Let n be (-5)\/w - (-1)\/2. Which is the nearest to 0.1? (a) 3\/7 (b) n (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/7 - -2\/7. Which is the closest to j? (a) 2 (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3*x**(1\/13))\/(x**0\/x**(-6\/11)) assuming x is positive.\nAnswer: x**(362\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.25 - 13.75. Let s = l + 14.6. Let t = 0.6 - s. Is -3 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3559.8482 rounded to zero dps?\nAnswer: -3560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 0*c**4 - 1\/3*c**3 - 3\/10*c**5 - 11*c + 0*c**2 + 0. What is the second derivative of p(r) wrt r?\nAnswer: -36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91308 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -18*u - 9. Let g(m) = -19*m - 9. Let i(c) = 5*b(c) - 4*g(c). Suppose 28 = -z - 3*z. Is i(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f + 6 - 6 - 2*f**2)*(-4*f**2 - 4*f**2 + 5*f**2) + 4*f + 2*f**4 - 4*f.\nAnswer: 8*f**4 - 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrwhrhwhwup. Give prob of sequence hprr.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 14 = 2*a, -3*f - 10 = 2*f. Solve 4*b + 5 = a*q, 5*b = 2*b - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, i: 1, y: 4, l: 6, x: 1, z: 2}. Give prob of picking 1 y and 1 i.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 25. Let a be (-1233)\/j - (-16)\/(-4). Let d = a - 151\/4. Calculate the common denominator of -119\/12 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(3)*1)**2*6 + ((2 + sqrt(192) + sqrt(192))*3)**2)*-4.\nAnswer: -28944 - 2304*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**5\/3 + 112*q**4\/3 + 3022*q**3\/3 - 2128*q**2 + 1083*q.\nAnswer: q*(q - 1)**2*(q + 57)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + s + 9, 5*s + 11 + 14 = 5*r. Let g = 3 + r. What is the remainder when 0 + -1 - (2 + -14) is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -10*s. Let k(g) = 37047*g**2. What is k(f(n))?\nAnswer: 3704700*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -86199 or -86010?\nAnswer: -86010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1316)\/(-20) - (-162)\/(-90) is divided by 27?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4440 and 140.\nAnswer: 31080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84492 is divided by 84490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*(5\/36)\/(28*(-335)\/(-127568)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 425245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwui when four letters picked without replacement from {u: 2, i: 1, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 45*y**2 + 110*y + 69. Does 30 divide n(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -288 - -292. Let w(t) = -t + 8. Let o be w(0). Suppose -l - z = s*z - 66, -4*z = o. What are the prime factors of l?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21776 equal to -10099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(102)*-2)\/sqrt(6).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 12:33 AM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u. Let d be x(-4). Let h(w) = -d - 2 + 4*w + 2*w - 3*w. What are the prime factors of h(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 5:05 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**4 - 680*s - s**4 + 4*s**4 + 551*s - 1 + 19*s**3 - 1 to the form b*s**2 + g*s + u*s**3 + d + q*s**4 and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3 + -3 + sqrt(1573) + 1 + sqrt(1573) + -5 + 5)*4*-4)**2.\nAnswer: -901120*sqrt(13) + 25874432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779 is divided by 276.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 6*v**2 + 5*v - 9. Let g be b(-7). Solve -4*c = -2*n - 10, 3*n = -g*c - 2*n + 20 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/4 and 53\/580.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2929606 divided by -2?\nAnswer: -1464803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -49*k - 144. Let h be u(-3). Let d = -1 + 1.1. What is the third smallest value in -0.2, d, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mdmpqqmqpmqeqqqpqq. What is prob of sequence qqp?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713954 a multiple of 580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 380319491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 401596, 803187, 1204778, 1606369, 2007960, 2409551?\nAnswer: 2811142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510.6655 minutes to milliseconds.\nAnswer: 30639930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 457883.5 centuries in decades?\nAnswer: 4578835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**2 + 14 - 14)*(1161*f**2 - 1161*f**2 + 33*f**3) - 3*f**5 + 0*f**5 + 2*f**5 + (4*f**3 - 3*f**3 - 3*f**3)*(-f**2 + 3*f**2 - f**2).\nAnswer: 162*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 1 + 1 - 2. Suppose 5*q + 9*t + 521 = 11*t, -4*t = y*q + 194. Is q at least as big as -99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/1122*(-4)\/(-6)*-18?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (123\/(-82)*4\/3)\/(1749\/3975)\nAnswer: -50\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/11 + 98*y\/11 - 2412\/11.\nAnswer: 2*(y - 18)*(y + 67)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*o - 0*o + 4*n, 2*o + 2 = 2*n. Let c(y) = -y. Let w(s) = 7*s - 2. Let r(u) = o*w(u) - 6*c(u). Let b = -180 - -185. What is r(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/2 - 12513407*n.\nAnswer: -n*(n + 25026814)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225741 is divided by 222.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t = -i + 28, 3*i + 33*t + 27 = 29*t for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6515269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27380 and -0.4.\nAnswer: 10952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*3\/(-36) + 3 + -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x**2. Let n(d) be the third derivative of d**7\/2520 - d**4\/24 + 13*d**3\/2 - 30*d**2. Let s(h) be the second derivative of n(h). Determine a(s(v)).\nAnswer: 5*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828 is divided by 56?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -13*v + 95. Let i = 14570 - 14563. What is s(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 499 divided by -99?\nAnswer: -499\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**3*t**(1\/4)*t)\/((t**3*t*t)\/t*t*t)**37 assuming t is positive.\nAnswer: t**(-871\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82 (base 12) to base 7.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1644 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 16. Let j = l + 14. Suppose 4*y - 3*v - 27 = j, y - 4*v = 4*y + 11. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296697799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8358 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/338303 and -53\/2174805?\nAnswer: 15223635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3 (b) -2854.6 (c) -0.4 (d) -2 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(-5)\/10 + 263. Let z = x - 146. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11419b664 + -4?\nAnswer: 11419b660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 326960721.\nAnswer: 3, 19, 193, 9907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -2*w - 20. Let h = 6 - w. Suppose -3*x - 7 = -8*x - 4*a, -a - h = -3*x. Solve 3*j - x = -0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 times 90515?\nAnswer: 9956650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 17 = -6*p. Suppose -5*y + 49 = 2*c, -2*y - 5*c - p = -45. Let k = 13 + y. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2 + (-21)\/(-7) + 3 + 223 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d - 29*d + 22*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -20. Calculate the common denominator of 109\/10 and 1659\/14*(-2)\/d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mccgcmggccgc. What is prob of sequence gg?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89722?\nAnswer: 2, 113, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*h - 344 = 0, -h + 82 + 130 = 3*i. Let q(x) = x**2 + 72*x - i*x. Let a(b) = 24 - 44 - 4*b + 20. Calculate a(q(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 + -3.6. Which is the closest to -2\/5? (a) -0.7 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*c = 80*c - 5490 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a factor of 28815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + -39 - (8 + 2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -56861 * -449\nAnswer: 25530589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21220 (base 3) in base 15?\nAnswer: -e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 + 23. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**2 - 3. Let t(b) = 200*b**2 - 2. Determine t(f(v)).\nAnswer: 3200*v**4 + 4800*v**2 + 1798","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + (0 - 30\/(-9)))*-3. Let t(g) = g**2 - 9*g + 10. Suppose -2*k + 20 = 3*y + 3*k, 2*y = 2*k + 8. Let n be t(y). Is n equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -33, -81, -159, -273, -429, -633?\nAnswer: -891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/2)\/(1\/(-3)). Suppose -1 = -b + 5. Let d be b\/27 - (-11)\/(-9). What is the third biggest value in z, 2\/11, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -922 - 555 + 1477 + 4*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4 - 8*v**2 + 5*v**2 + 5*v**2 - 6*v. Let j be (-4)\/(-30) + (-9632)\/240. Let x = -35 - j. Give l(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 2:24 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -6. Let s be 0\/(3 - (n - -4)). Suppose -4*f - 23 = -3*i + 9, 25 = -5*f. Solve 4 = -4*k - s*d + 3*d, -k - i*d - 1 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*p + 70882 + 8272. Is -4167 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -8*d - 1. Let l be w(-2). Suppose c + 13 = l. Solve -v + c*v = 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 0 - 1\/2*q**5 - 1\/2*q**4 + 1\/2*q**2 + 3\/2*q**3 - q = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -37365, -37367, -37369?\n\"Answer: -2*x - 37363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -39812297*d - 52997659?\nAnswer: -39812297","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6150 by -246.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.6826 or 0?\nAnswer: -2.6826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 28. Let c be 3*l - (12 - 10). Solve b = 3*p - c, 0 = 4*p - b + 2*b - 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -525 - -9445\/18. Let m = -4673\/154 - 12\/77. Find the common denominator of i and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36, 65, 88, 105, 116, 121, 120?\n\"Answer: -3*u**2 + 38*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56072 - -56068. Let h = -3 - 0. Let o = -43.065 + 0.065. Sort -1\/6, o, k, h in descending order.\nAnswer: -1\/6, h, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 + m**5 - 2*m**2 + (-2*m**4 - 15*m**4 + 6*m**4 + m + 2*m**4 - m - m**4 + 4*m**4 - 4*m**4 + (-m + m**3 + m)*(0 - 2*m + 0))*(-4*m + 2*m + m).\nAnswer: 13*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + sqrt(8064)*-4)\/((sqrt(8) - (sqrt(80)\/(sqrt(10)*3) + sqrt(8))) + sqrt(8)).\nAnswer: -141*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**2 + 2*n - 2. Let x be o(4). Let z = -8 + -10. Let f = z - x. Calculate the highest common divisor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -73049264, -146098527, -219147790, -292197053, -365246316?\n\"Answer: -73049263*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eyyemzimoiiz. Give prob of picking 2 m, 1 y, and 1 o.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351527442 is divided by 1377.\nAnswer: 1374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1227, -1228, -1225, -1212, -1183, -1132, -1053?\nAnswer: -940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12591, -10443, -8295, -6147?\n\"Answer: 2148*y - 14739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2248641511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8757, 35245, 79393, 141201?\n\"Answer: 8830*o**2 - 2*o - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5963336?\nAnswer: 2, 137, 5441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*sqrt(204)*5 - (-1*sqrt(204)*1 - sqrt(204)))\/(sqrt(60)\/sqrt(80) - (sqrt(12) + sqrt(60)\/(sqrt(15)\/sqrt(3))))*2.\nAnswer: -4 + 64*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10189768?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 419*o**2 + 6*o + 23. Let i be u(-6). Let f = 74843\/5 - i. Let j = -102 - f. What is the biggest value in 2\/3, j, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(-19 + 649\/33)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 326*n - 4957. Let o be f(-16). Let k(z) be the second derivative of 0 + 1\/6*z**3 - 21*z + o*z**2. Determine k(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45850*v - 10 = -45855*v, 13*v + 29 = -5*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 6:42 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*l + 58*l - 3*l**2 + 54*l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -17683212 greater than -17683210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/10)\/(27\/45)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 16*y**2 + 74*y + 40. Is 11 a factor of u(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0522561 to 3 decimal places.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 128 = 4*n, -w + 2*n + 29 = -0*n. Suppose 4*a - 37 = w. Suppose -4*o = 3*k - 17, -o + 2*k = 2*o - a. Is o < 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/1855 + -891\/371. Put -5, -4, -0.1, 1, l in increasing order.\nAnswer: -5, -4, l, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -b073 (base 13) in base 11?\nAnswer: -17256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 687 and 250795533.\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498070?\nAnswer: 2, 5, 49807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13967, -28894, -43807, -58700, -73567?\nAnswer: -88402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.42 times 2\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**3)**27\/(f*f**(1\/4)*f*f*f\/(f\/f**(-2\/23))) assuming f is positive.\nAnswer: f**(-5259\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*k - 23*k - 8*k**2)*(-5 - 5 + 22 + 4 + 0 - 2 + (5 + 1 - 4)*(2 - 1 + 0) - 1 + 1 - 2).\nAnswer: -112*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -210, -2, -0.07, 3\/4, 0.9, 0.2, -5?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 224602709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 454838 to the nearest one thousand.\nAnswer: 455000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**2 - 1935*v\/7 + 94572\/7 = 0. Calculate v.\nAnswer: 444\/7, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (3*-2*sqrt(18) + sqrt(18)))\/(sqrt(9) - (sqrt(81) + sqrt(81)*1 - sqrt(81))) - (-4 + (sqrt(24)\/sqrt(48) - sqrt(16)\/(-2*sqrt(8)))).\nAnswer: -4*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*j - 13, 8 = 2*j - 0*j. Solve g*h = -7 - 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122807833793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 398220.8 - 398221. Let u(y) = y + 1. Let b(x) = x**3 + 3*x**2 - 3*x + 5. Let f be b(-4). Let n be u(f). What is the closest to 1\/4 in n, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18608899200 to the nearest 1000000.\nAnswer: 18609000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -14. Suppose r = 8*y - 21. Let p(q) = -5*q**2 + 19*q**2 + y*q**2. Let a(w) = -w. What is a(p(u))?\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 7*x**2 + 0*x + 5\/12*x**4 - 1\/120*x**6 + 0 - 1\/6*x**5 + 1\/3*x**3. Is 7 a factor of o(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 44, 30, 26, 32?\n\"Answer: 5*k**2 - 29*k + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 5:17 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.92 - 3. Let r = 0.02 - a. Round r to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, g: 2, v: 3}. What is prob of sequence hv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(-3)\/(-6) - 1. Let b be 1 + (-2 - l)\/2. Factor -3\/5*n**3 - 2\/5*n**b + 0*n - 1\/5*n**4 + 0.\nAnswer: -n**2*(n + 1)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 9:56 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 4)*(-z + 4*z - z) + (3 + 1 - 5)*(-12 - 16*z + 12) - 5*z + z + 3*z + 2*z - 2*z + 2*z as t + a*z and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 + (-780)\/24)*-10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-2) - 8\/(-10). Let y = 34.9 - 12.9. Let k = -21.4 + y. What is the nearest to -2\/5 in -0.4, n, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5568273917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9c - -5?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1699 + -1699.0000004604. What is i rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-42)\/(-36)*((-210)\/49)\/(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 8*z - 3. Let q be w(7). Suppose -q*d + 22 = -2*x, 19 = 3*d - x - 0*x. Solve m = -2*a - a + 5, -5*m - 4*a = d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b**2 + 2*b - 1. Let g be j(1). Suppose 0 = 3*d - c - 36, -3*d - g*c = -4*d + 1. Is d a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181757 to the power of 1\/2, to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5033\/5 + -4786393\/4755. Which is the second biggest value? (a) p (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-2))\/(3\/6). Let r(o) = 10*o**3 - 2*o**2 + 1. What are the prime factors of r(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24610?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -9*n - 8*n - 18*n. Which is bigger: 28\/347 or n?\nAnswer: 28\/347","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10333222 (base 4) in base 14?\nAnswer: -7654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1416, -2614, -3812, -5010, -6208, -7406?\nAnswer: -8604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 1. Let y(o) = 1. Let f(t) = -u(t) + y(t). Let h(j) = 7*j**2. What is h(f(b))?\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.08602324 to 2 decimal places.\nAnswer: 2.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38723322 - 38723322 - 1150*q**2.\nAnswer: -1150*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s - 6. Let t be j(-6). Let d(w) = -w**2 + 37*w - 28. Suppose -m + 17 = 1. Calculate the least common multiple of d(t) and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 0.15 (b) -5 (c) -1\/358 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, x: 1, i: 1, y: 2, p: 4}. Give prob of picking 1 x, 1 b, and 2 p.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1285, 2567, 3849, 5131, 6413?\nAnswer: 7695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37760 is divided by 90.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 174791960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2. Let u(b) = 69*b**2 + 21. Let z(m) = 7*m**2 + 2. Let n(k) = -4*u(k) + 42*z(k). What is a(n(w))?\nAnswer: 324*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - sqrt(153)*-3 - sqrt(153))\/sqrt(9) + 4*((sqrt(17)*-3 + sqrt(17) - sqrt(17)) + sqrt(17)))**2.\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**5 + u**3 + u**2 + u - 1. Let o(t) = -9*t**5 + 5*t**4 + t**3 + 11*t**2 + 8*t - 8. Let w(h) = 3*o(h) - 24*r(h). What is g in w(g) = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 8 + 32. Let n be -4*(6\/(-9))\/(k\/(-6)). Solve -i = i + n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q - 1. Let a(h) = -8*h + 6. Give -a(r) - 4*b(r).\nAnswer: 20*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 0 - 19\/10*f**6 + 0*f**2 + 55*f + 0*f**3 + 17\/12*f**4 + 0*f**5. What is the third derivative of j(t) wrt t?\nAnswer: -1368*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - i - 2)*(2*i**4 + 3*i**4 - 6*i**4) + 19*i**4 - 19*i**4 + 57*i**5 + (-5*i**2 + i**5 + 5*i**2)*(-5 + 5 - 1)*(3 + 0 - 4).\nAnswer: 59*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/49 (b) 303 (c) 0.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 317125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-315)\/120*-1)\/(4\/(-32)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - f - 3. Let b be (-3)\/(-7) + 75\/(-175). Calculate o(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-2)*(-32 - -2). Let f be 2 - 26\/s*-3. Let a be ((-9)\/6)\/((-2)\/(-4)). What is the third smallest value in f, a, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -567, -1128 in increasing order.\nAnswer: -1128, -567, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s**2 + 333*s - 137. Calculate o(-56).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -141\nAnswer: -5.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -91328, -91338, -91356, -91382, -91416?\n\"Answer: -4*p**2 + 2*p - 91326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 27\/7*l**4 + 0*l + 36\/7*l**3 - 3\/7*l**5 + 0 - 60\/7*l**2 = 0. What is l?\nAnswer: -2, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56173?\nAnswer: 13, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + 18. Suppose 3*z + 20 = -s. Let a = 33 + z. Solve -2*u = -0*u + a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 55*w + 19 - 102*w + w**2 + 69*w. Suppose 4*f - 2*m - 19 = 3*f, f = -5*m - 9. What is the remainder when q(-23) is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19066*s**2 - 2970*s + 6590542 wrt s?\nAnswer: 38132*s - 2970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 1. Let m be y(3). Let c = m + 2. Let v = -2 + c. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, a: 6, w: 1, k: 2, o: 1}. What is prob of picking 1 i, 1 a, 1 o, and 1 w?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 53 - -11ee02?\nAnswer: 11ee55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1790 - -60. Is 50 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 852356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b9d02 (base 14) to base 16\nAnswer: 6dd1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 + 64. Let y = 2.262 + 0.038. Let g = 1.3 - y. What is the third smallest value in 0.4, g, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vtivmtt. Give prob of picking 2 v.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 2*w**2 + 1\/6*w**3 + 1\/4*w**4 + 0 - 1\/20*w**5 + 2*w. Suppose 4*v - 3*a - 10 = 0, 12 = 4*v + 3*a - 10. Determine z(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24466368 divided by 4?\nAnswer: 6116592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 3*q + 9*q)*(-2 + q**2 - 6*q**2 + 3) in the form c*q**3 + f*q + m*q**2 + u and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 55605?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.071664 minus -1?\nAnswer: 0.928336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = i - 176 - 501, -3*n - 3*i = -669. Let h = -227 + n. Solve -4*t - t = h for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*g**4 + 226950*g + 81730894 wrt g.\nAnswer: 48*g**3 + 226950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/32, -1, -11.\nAnswer: -11, -1, 5\/32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2331532*0.5\nAnswer: -1165766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 11*p - 7. What are the prime factors of t(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 9*p**2 - 7*p + 32. Calculate the remainder when i(3) is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 40 = -5*s, -59*s + 62*s + 2*r + 21 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -6. Suppose 2*m + 0 = j. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -73, -75, -79, -85?\n\"Answer: -o**2 + o - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 18*g + 104. Let l be (-4)\/((-476)\/(-51)) - (25\/(-7))\/(-1). Calculate f(l).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -25. Let f be (-4)\/(-15 + -1)*4. Calculate the greatest common divisor of f and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 191 and -18.3.\nAnswer: 172.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 360655237?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-210)\/36*1\/(-7)\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -23\/158?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t + 3217 = 5529 - 2862 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 AM and 8:21 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -29*o - 8. Let y be g(-4). Suppose -5*u = -k, 5*k + 6*u = 4*u + y. Suppose -4*j = -n - n + k, 0 = -3*n + 2*j + 14. Solve 5*h - n = -22 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -2, -1, -3\/8, 91?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6544*f - 268222. Give d(41).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -283 + 3237. Suppose i = -2*o + 6*o - 3*d, 3*o = -d + 2222. Round o to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 + -33. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 953*f. Let i(m) = 237*m. Calculate o(i(d)).\nAnswer: 225861*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2506.\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26288337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 1.6. Round t to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(700))**2.\nAnswer: 100*sqrt(7) + 725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 6*c - 3. Let k be d(-7). Let i be 1 - (15 - k\/(-5)). List the prime factors of 502*(39\/42 + i\/28).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-3 + -1)) + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27, -25, 39, 195, 473, 903, 1515, 2339?\n\"Answer: 5*v**3 + v**2 - 36*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-52)\/((-2080)\/60))\/(9\/8*(-11)\/(-66))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v - 29. Let b(p) = p - 12. Let q be b(9). Let f(k) = 4*k - 28. Let i(z) = q*f(z) + 2*r(z). Find the first derivative of i(u) wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 20 = 0, -3*z - 8*a + 5*a + 3219 = 0. List the prime factors of z.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + 0.43. Let w be 14\/((-3)\/((-9)\/6)). Suppose 0 = 4*s - w - 1. Which is the nearest to s? (a) 0 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 22\/3, 313 in decreasing order.\nAnswer: 313, 22\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {i: 1, r: 17}?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*n - 4*z, -111 = -n - 5*z - 92. What is the third smallest value in n, -11, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 6:37 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - y**2 + 13. Let r be z(0). Suppose 0 = -t + r*t - 72. Calculate the greatest common divisor of 21 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**3 + 2*k**2 - 1. Let j be l(1). Suppose 2*a - a - 7 = -h, 11 = -3*h + j*a. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 h, and 1 q when three letters picked without replacement from {n: 4, h: 1, q: 2, c: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-11)*(f\/f**1)\/f)\/(f*f**(-4)\/f)**(-21) assuming f is positive.\nAnswer: f**(-94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -905 + 1516. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.758 + -146582498.058?\nAnswer: -146582498.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(117) - -1*-1*sqrt(117))\/((sqrt(54) - sqrt(486)\/sqrt(81))\/sqrt(6)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -59496885\nAnswer: 59496883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 41*t - 887. Calculate v(-56).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 127, 4, -1, 4157?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-5*(-6)\/(-30)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261778556.\nAnswer: 2, 13, 97, 51899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -96300 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6425 times 2.6?\nAnswer: 16705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*0 + 20\/(-8).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 389555.9 centimeters?\nAnswer: 3895559000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2 + 1. Let k = -3 + n. Suppose -2*f + 3*f - 24 = k. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -373 + 567. Let r = q + 251. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 568 (base 15) to base 4\nAnswer: 103013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 191794 and 161092.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**4\/15 - 2056*s**3\/15 + 900562*s**2\/3 + 4941902056*s\/15 + 1645799064\/5 = 0.\nAnswer: -1274, -1, 1521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (7 - 44) - -6) + 39?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (414\/(-1863))\/((-30)\/(-27)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 35015, 34179, 33345, 32513?\n\"Answer: r**2 - 839*r + 35853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -29*h**2 - 1. Let j be v(1). Let b = j - -82. Is b a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 3*x**2 + 3*x. Let z be c(3). Suppose 0*l = -3*l + z. Suppose l*r + 3 = -3. Put 2, r, -5 in descending order.\nAnswer: 2, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2716282373.\nAnswer: 7, 388040339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 r when two letters picked without replacement from {z: 2, a: 7, c: 2, h: 1, r: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away 5472311332?\nAnswer: -5472311332.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -289*x + 5496. Calculate the remainder when t(-28) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 7*n + 31. Give v(11).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*h + b, 2*h = -3*h - 2*b. Let w be h + 1 - -12 - -2. Suppose w + 23 = 4*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12952.776 + 1745.467\nAnswer: 14698.243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/26)\/((-6)\/20)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**3\/3 + 127492*y**2\/3 + 127616*y\/3 - 1274960 = 0 for y.\nAnswer: -6, 5, 31874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*d - 2*d - 46, -z + d = -13. Let o = z - -21. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2203 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: Suppose 12*k - 15*k + c = -79, -4*c = 4. Let p(o) = -2*o + 68. Let d be p(k). Solve 2*t - d = -2*z, -5*t = -3*z - 0*z - 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/4 of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/9)*s**(3\/7))\/(s*s**(-7\/3)*s*s\/(s**(2\/21)*s*s*s)))\/(((s\/s**(-7\/5))\/s*s*s**(-1\/6))\/((s**1*s)\/(s*s\/((s\/s**(-1\/5))\/s)))) assuming s is positive.\nAnswer: s**(379\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -766 = 5*f - 771 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24112542 divided by -3?\nAnswer: 8037514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 13 + 23. Suppose 5*n - q + 21 = 0. Let h(o) = -o**3 + 2*o**2 - 6*o - 6. Is h(n) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53794.67 to the nearest one thousand.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 51701, 103417, 155131, 206843, 258553, 310261?\n\"Answer: -s**2 + 51719*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 - 39*v + 485. Is w(19) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 greater than 5750\/393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1635*c**4 - 289385*c**3 + 1770*c**2.\nAnswer: -5*c**2*(c + 177)*(327*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/14*(-2)\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 875 + -870. Let b(s) be the first derivative of -p + 5\/3*s**3 + 7*s + 0*s**2. Differentiate b(d) wrt d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 4*q**2 + 2*q + 3. Let y(j) = j**2 - 1. Suppose 0 = 4*s - w - 15, -s + 7*w - 2*w + 18 = 0. Let z(b) = s*y(b) + n(b). Determine z(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b + 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 9 = -u, -u + 4 - 1 = -j. Suppose -u*s + 74 = g, 0*g - 2*g = 2*s - 36. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 - 0.4. Let n = o - 1. Let j = -227\/339 - -1\/339. Which is greater: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 3031020?\nAnswer: -3031014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h = 91 - 295. Suppose 18 = 3*a - 0*a. Let i be 3\/2*h\/a. Which is smaller: -2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 - -58. Let x(s) be the second derivative of 1\/4*s**z - 1\/10*s**6 - 1\/3*s**3 + 0 - 3*s + 1\/10*s**5 + 0*s**2. Let x(d) = 0. What is d?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/226 - -170\/113. Which is the nearest to f? (a) -5 (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**2\/3 + 19510880*z\/3 = 0.\nAnswer: 0, 4877720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 21 = i. Let a = i + -4. Suppose 2*v + 7 = q, -a*q = -4*q - v + 4. Solve q*m - 4*r - 17 = -2*r, -5*m = -5*r - 20 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8*n**2 + 4 + 17*n**2 - 8*n**2 + n. Suppose -3*z - j = j + 12, z - 4 = 2*j. Let l be 5\/((-15)\/6) - z. Give a(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 1737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2) + 3)*(-40)\/(-12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -7)*1\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 - 6*o**2 - 52*o - 312. Let y be i(-6). Let t(n) = 2*n + 58. Give t(y).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3720 - 0.3?\nAnswer: -3720.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 932904.6 weeks to hours.\nAnswer: 156727972.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -1.7. Let v be 17\/20 - (-4)\/10. What is the third biggest value in v, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 750 and 450?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1428389?\nAnswer: 1428389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = 3*c + 28*l, 64*l - 62*l + 4 = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 7*k = -25, -t + 5*k = -20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1544, -2894, -4244, -5594, -6944?\nAnswer: -8294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-30))\/((-2)\/(-3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 7*s**3\/6 - s**2\/2 - 7*s. Suppose -b + g = 4 - 24, -3*b + 76 = 5*g. What is the lowest common multiple of f(5) and b?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/5)\/a*a**(-1\/4)\/a)\/(((a*((a\/(a**5\/a))\/a)\/a*a)\/a)\/a**(-3\/5))*(a**(-6)\/(a\/a**0))**38 assuming a is positive.\nAnswer: a**(-5293\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 - 0. What is the greatest common factor of t and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12105 divided by 4035.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 11, b: 1, j: 2, l: 3}. Give prob of picking 1 e and 1 j.\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 + 157130152?\nAnswer: 157130155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2449*b + 1245*b + 1220*b + 0.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15\/26, -0.02, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151 - 151 - 65*r**2)*(-24*r - 96 - 32*r + 97).\nAnswer: 3640*r**3 - 65*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 170.3 - 178.3. Let n = 15.2 - 15. Which is the smallest value? (a) n (b) z (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.1 - 2.9. Suppose -20 = -4*k, 4*k = -5*s + k + 10. What is the third biggest value in f, 2\/7, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1\/5 (c) 0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 - 4*a - 5. Let g(k) = -k**2. Let x(r) = -g(r) - o(r). What is x(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512 = 160*q - 152*q. Calculate the remainder when 317 is divided by q.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -35*k**3 - 30*k + 5. Suppose 24*s = 20*s - 16. Let x(f) = 36*f**3 + 31*f - 4. Let p(r) = s*w(r) - 5*x(r). Find the second derivative of p(b) wrt b.\nAnswer: -240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-5)*(-105)\/7. Let k be (-3)\/9 - 30\/b. Solve 0 = k*v - t + 15, 2*v + 2*v + 10 = -2*t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 434752 and 448.\nAnswer: 3043264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n + 22. Determine d(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -3*u**3 - 37968*u**2 - 5327364*u + 45050400 = 0.\nAnswer: -12514, -150, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14088 - 14087. Let t(l) = -l**2 + 1. Let a(o) = 4*o**2 - 5. Calculate j*a(n) + 2*t(n).\nAnswer: 2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2444 (base 10) to base 13.\nAnswer: -1160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*n - 2*n - 20. Suppose -5*c - 4*m - 670 = 0, -n*c + c = 3*m + 399. Is 12 a factor of -1*1 - (c - -8) - -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 9. Let h be k(9). Suppose 3*d + 4*i - 23 = h, 0*i = -d - 3*i + 11. Let o be 2 - -3 - (d + -2). Put 0, 3, o in ascending order.\nAnswer: 0, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1483*w = -48739 - 58037 for w.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 + 2*a + 16. Let i = -45 - -45. Let s be z(i). Suppose -590 = -s*b + 14*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233, -1977, -6711, -15929, -31125, -53793, -85427?\nAnswer: -127521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11724*w**4 - 166899893*w**3 + 166899893*w**3 - 11147*w**2 - w wrt w?\nAnswer: -281376*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10*u + 199. Let g(v) = -v. Give g(f(y)).\nAnswer: -10*y - 199","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374 - 374 + 19*h**2.\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 0. Let u(l) = -l - q*l + 0*l. Let x(j) = j. Calculate x(u(f)).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 5. What is the remainder when (3 + i)\/((-1)\/(-25)) is divided by -1 + -1 - (-2 + -13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 26, -1\/5, 7, 0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - d - 2. What is the remainder when j(-4) is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 74*g + 400. Let s be t(5). Solve -2*m - 6 = -4*n, -s*m + n + 20 = 26 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 2 = -4*d, f - 141425*d + 141413*d + 37 = 0 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/803 - (-72945)\/657.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 4*m + 22. Determine x(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -1360*w - 954715. Calculate l(-702).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 22*h**3 + 2*h**2 - h. What is k(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 5:53 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/3)*p*p**(1\/17))**25\/(p**(4\/11)*p**(-1\/14))**(-9\/2) assuming p is positive.\nAnswer: p**(960055\/15708)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (-4 - (-4)\/2). Solve 3*s = t - 10, 5*t + 0*s = i*s + 24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 5, -5, 15 in ascending order.\nAnswer: -6, -5, -1, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*(l*l**(-18))\/l*(l**(1\/9)*l)\/l*(l\/(((l\/(l**(-2\/15)*l*l))\/l)\/l))\/((l**3*l)\/l) assuming l is positive.\nAnswer: l**(-721\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51364.5 * 0.467.\nAnswer: 23987.2215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 5423574*u - 10847144.\nAnswer: -(u + 2)*(u + 5423572)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 4. Let w be a(-6). Suppose -k = -w*k + 2, 2*o - 56 = -2*k. Suppose 4 = 5*z - o. Solve 3*q - 13 = n, z*n - 3*n = q + 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -9914.8, -5, 1687?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 8*g - 1. Let m be l(4). What is the tens digit of (-1694)\/(-35) - 6\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**2 - 56 - 13070*p + 13074*p + 54.\nAnswer: -7*p**2 + 4*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (45\/6 + -1)*2. What is the second derivative of -3*n**2 + d*n + 6*n + 0*n**2 - 9*n wrt n?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 4*n - 77. Let s be ((-6)\/21)\/((2\/(-1))\/(-262)). Let a = n + s. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -91344.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*v = -7, 2*v = -2*p - 2*v - 10. Let r(n) = 5*n**3 - 24*n**2 - 5*n + 1. Let u(d) = 4*d + 45. Let f be u(-10). Let c be r(f). Is c < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6 = r - 2, 0 = -5*r + 3*c + 46. Let f = 15 - r. Suppose -4*w = m - 31, 0*m + w + 124 = f*m. Calculate the remainder when m is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 v when three letters picked without replacement from vqqvvqvvqqvqqv.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9201, -9086, -8779, -8184, -7205, -5746, -3711, -1004?\nAnswer: 2471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4240 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 106*j**3\/3 - 3*j - 51. Let r be (12\/(-10))\/((-6)\/20). Is i(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*d - 3525, -5*b = -3*d + 6081 - 792. Let y = d + -976. List the prime factors of y.\nAnswer: 2, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1068559, 2137115, 3205671?\nAnswer: 4274227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.21 and -35?\nAnswer: -7.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 245046, 245046, 245056, 245082, 245130, 245206?\nAnswer: 245316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 315577 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**4 - 1534749*j**3 + 21164310 wrt j?\nAnswer: -8*j**3 - 4604247*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*r = 134, 6*o = 8*o - 4*r - 92. Let y(p) = -p**3 + 9*p**2 + 2*p - 6. Calculate the remainder when y(7) is divided by o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6049 (b) 4 (c) 1 (d) 5 (e) -4 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 2*u**2 - 4*u - 5. Give k(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2607426 is divided by 80?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 760853, 1521714, 2282575, 3043436, 3804297, 4565158?\nAnswer: 5326019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 421? (a) 4\/3 (b) 2\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d**4 + 2*d**3 + 12*d**2 + 2*d + 0*d**3 - 9*d**2. Let b(g) = -4*g**4 + 3*g**3 + 4*g**2 + 3*g. Let r(v) = 2*b(v) - 3*z(v). Factor r(m).\nAnswer: m**2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -2*z**2 + 6*z = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (27 - -1) + -52 + (80 - 40) + -33.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 3432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6504 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -3*f - 12. Suppose -4*g - 16 - 32 = f*a, 4*a + 3*g + 47 = 0. Does 33 divide 64 - (3 + a)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k\/((k\/(k*k**31*k))\/k)*k)*k*k\/(k\/(k**(-3\/11)*k)) assuming k is positive.\nAnswer: k**(-344\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1977.9883 rounded to the nearest integer?\nAnswer: -1978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 234 = w, 3*r - 5*r + 146 = -4*w. Suppose -4*y + 49 = 3*n, -3*y + r = y - 3*n. Calculate the lowest common multiple of 36 and y.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02574758 rounded to four dps?\nAnswer: 0.0257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-18))\/(3\/5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7764*m = -2787*m + 158265 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 15*b - 75. Let l be m(5). Suppose l = -41*q + 30*q + 2904000. Round q to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 2144.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {o: 5, g: 8}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.677 to two dps.\nAnswer: 8.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 7*x**3 + 4*x**3 + 2*x**3 - 10*x to w*x**3 + g*x**2 + z*x + u and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 122 - -94. Suppose 4*w - j - 292 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -128 - -283. Let j = c - 122. Solve 5*u - j = -13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (3 - 0) + -1. Let n be -3*(-1 + 0 + l). Solve -5*b + n = -7 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1710452701477\/4454 + -1920130987\/5. Let z be 46761\/(-6681) - -1 - (-36)\/6. Let t = z + h. Calculate the common denominator of 33\/8 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t**3 - 120*t**3 - 71*t**3 - 3*t + 3*t + 114*t**3.\nAnswer: -112*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1895616350 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5300 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -658.2 rounded to the nearest ten?\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -300 + 590. Let z = -155 + g. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 253 and 253?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (22\/(-55))\/(39\/(-15)). Which is the nearest to -1? (a) -3 (b) u (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**2 + 268*o + 552 = 0. What is o?\nAnswer: -2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 299 - 1871*k**3 - 304 to a + t*k + p*k**3 + m*k**2 and give p.\nAnswer: -1871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-594788)\/(-18) + 612\/2754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1503971 - 0.4?\nAnswer: -1503971.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000043839 rounded to 6 dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -839*z**4 + 33982*z**3 - 94446*z**2 + 2*z + 44 wrt z.\nAnswer: -20136*z + 203892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 4*f - 5. Let v = -21 + -30. Let p = -50 - v. Let l be 10\/30 + 13*p\/(-3). Determine q(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1466206*w**2 - 1466116*w**2 + 3*w**3 + 2932322*w**2.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 7 + -35 + 7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -a335 (base 16) in base 8?\nAnswer: -121465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -412\/259 - -80\/37. Let q = -16.18 - -16. Let b = -4.82 + q. Sort g, 0, 3, b in decreasing order.\nAnswer: 3, g, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 543005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2\/19, 5, 1, 40 in ascending order.\nAnswer: -0.4, 2\/19, 1, 5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -41?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176041 is divided by 87927.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2. Let f(l) be the first derivative of 7*l**6\/90 + l**3 - 4*l - 22. Let n(a) be the third derivative of f(a). Give t(n(m)).\nAnswer: 784*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 113 (base 5) to base 7\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*f = 2147 + 779 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w\/(w*w**(-2\/7)*w)*w*w)\/w)\/w)\/w)\/w**(-6\/11))**(-18\/7)*(w**(1\/3)*w*w\/(w\/(w*w**(-8\/7)\/w)))**(-1\/2) assuming w is positive.\nAnswer: w**(4706\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o*p**5 - 123*o*p + 3*o - 337*p**5 - p**3 + 2*p**2 wrt p.\nAnswer: -60*o*p**2 - 20220*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -510243 (base 6) to base 4\nAnswer: -21311103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of ((6\/(-8))\/3)\/(72\/(-3089952))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 977 and 1.07.\nAnswer: 978.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4040515021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125089 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3 = -3*u, 0 = -u + 6*u - z + 13 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 = 24. Let p = 63 + -36. Calculate the remainder when p is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1346123, -1346124, -1346125, -1346126?\nAnswer: -1346127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m - 17. Let s be v(3). Suppose -5*y + h + 105 = -y, y - 24 = -2*h. What is the remainder when -2 - (1\/s + -53 + 0) is divided by y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 2, 5, 3, 37.\nAnswer: -1, 2, 3, 5, 7, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 13*m**4\/4 + 5*m**2\/2 + 17. Find the second derivative of z(w) wrt w.\nAnswer: 78*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -u**5\/20 + u**4\/4 - u**2 - 2*u. Suppose -114*v = 83*v - 394. Calculate a(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -536*t + 4711 + 9761 = 0 for t.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -460, -286, 266, 1304, 2936, 5270, 8414, 12476?\nAnswer: 17564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001349786 rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 1 + 0 - -1. Let g = 13 + -9. Suppose n - 2*h = -9, -8 - 11 = n - g*h. Sort n, -1, v.\nAnswer: -1, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 2. Let b be u(0). Let l(q) = 26*q**2 + 5*q + 1. Calculate the remainder when l(b) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-48)\/(-4))\/((-4)\/(-118))*(-24 + 25) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o - 106 + 1637*o**2 - 1660*o**2 + 2*o as y*o + a*o**2 + m and give m.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/((-9)\/2*308\/(-3927)). Solve 2*h = -p*v + 15*v + 14, -h = 2*v - 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22.7385 + -22.7. Let b = -1.0385 + i. Which is smaller: -26 or b?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417, -750, -999, -1164, -1245, -1242?\nAnswer: -1155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/(96\/(-960))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1356 - 570. What are the prime factors of p?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022133 (base 5) in base 14?\nAnswer: -bd45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (81\/(-180))\/((-265)\/31800)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*l + 17*l - 40*l**2 - 28*l to g*l**2 + a*l + d and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1611898 is divided by 2258.\nAnswer: 1944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/182 greater than 0.0259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-19)*h)\/(h*h**(2\/65)) assuming h is positive.\nAnswer: h**(-1172\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 4*j + 3\/2*j**2 + 1\/6*j**3 + 0. Find the first derivative of y(q) wrt q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6074281 (base 10) to base 6\nAnswer: -334105401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 2:26 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-22))\/((a**15\/a)\/a))\/(a\/(a*(a*a*a*a\/(a**(-1\/12)\/a)*a)\/a))**(2\/29) assuming a is positive.\nAnswer: a**(-5855\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*c - 37. Suppose 3*q - 5*q = -c. Suppose -q*t = -0*t - 144. Is t a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = -5*w + 43. Let r be 2 - (w + 6) - (1 + -1). What is the greatest common divisor of 150 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2 - k + k**2 + 2. Let o = 19 - 8. Let h(g) = 2*g**2 - 2*g. Give o*u(i) - 6*h(i).\nAnswer: -i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 77091973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 7 = 3. Suppose -31*r + 27*r + 4 = 0. Suppose y*u = -r + 5. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/135*-20)\/(3*2\/(-9))*30.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3637, -3651, -3681, -3733, -3813, -3927, -4081?\nAnswer: -4281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*f + 39*f + 32 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1456 = -9*v - 103*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/10)\/((8*2\/(-160))\/(96\/(-24)))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/29220 and -1\/4560.\nAnswer: 2220720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0*b - 2*b**2 + 0 - 2\/3*b**3 - 1\/20*b**5 + 0*b**4. What is the first derivative of g(s) wrt s?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2 + 2*z - 1. Let i be w(1). Suppose 4*y + c - 190 = -c, 0 = i*y + 3*c - 240. What is the greatest common factor of y and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*c - 2*d = 84*c + 8, -3*c - 2*d + 13 = 0. Sort 5, c, -2\/7, 0, -0.6.\nAnswer: -0.6, -2\/7, 0, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 39*j + 1. Let k be p(-13). Let s(a) = -8*a**2 - 2*a. Determine s(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -98394 - 1476?\nAnswer: -99870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110786 - 113223427\/1022. Let x = t - 6\/73. Find the common denominator of x and -131\/550.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 27\/2 of a century?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**6\/120 + y**5\/60 - y**3\/3 + 3*y**2. Let k(v) be the first derivative of l(v). What is the second derivative of k(d) wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 + 54. Suppose 20 = t*h + y - 0*y, -16 = -5*h + y. Let c(w) = 2*w**3 + 5*w**2 - 2*w + 2. List the prime factors of c(h).\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129936.\nAnswer: 2, 3, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*g - 66*g = 15, -j - 116 = -2*g. Which is smaller: -126 or j?\nAnswer: -126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12199*m**4 + 8183*m wrt m?\nAnswer: -146388*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in -2\/61, -1, -8, -2\/3, -0.5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -353*y - 30515. Give r(-87).\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1284 - 700. Suppose -10*v - 194 = -t. Calculate the highest common factor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 12, l: 3}. Give prob of picking 1 l and 2 b.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -289*h**2 - 214*h**2 + 501*h**2. Let y(z) = 153*z + 2. What is y(t(q))?\nAnswer: -306*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*v - 6223 = 26932. What is the remainder when v is divided by 117?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -171*j - 17451. Calculate q(-102).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179907226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:54 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(m + 2*m - 4*m) + 0*m + 6*m - 2*m - 5*m - m + 5*m + (-2 - 2 + 6)*(-m + 2*m - 2*m) - 5*m + m + 3*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**3 - 8*v**2 + 8*v. Let f(m) = -5*m + 29. Let h be f(6). Let p be h\/(2\/(-2)) - 0. Let u(w) = w**3 - w**2 + w. What is p*g(c) - 8*u(c)?\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 d, and 2 s when four letters picked without replacement from sfhhhdshsshs?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2895, -23027, -77645, -183993, -359315, -620855, -985857, -1471565?\n\"Answer: -2874*h**3 + h**2 - 17*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + (-20 - -67) + -22 + 48.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -93 + 60. Let r = s + 31. Sort -1, r, 4, 5 in descending order.\nAnswer: 5, 4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 c when three letters picked without replacement from nccnqnnnnnnnqn.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -44. What is the lowest common multiple of w and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-4)*(-29)\/(-87)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-7) - 112\/(-49). Solve 0 = -5*q + z*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 3*a**4\/7 - 3*a**3 - 339*a**2\/7 - 45*a = 0.\nAnswer: -7, -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -7. Let p(g) = -8*g - 109. What is the smallest common multiple of p(-14) and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111 + -1101001011110001?\nAnswer: -1101001100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 2*j + 2. Let z be q(-3). Let m(f) = -f - 1. Let t(c) = -c**2 + 4*c + 37. Let b(k) = z*t(k) - 2*m(k). List the prime factors of b(-8).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 + -2 + (12 - -840). Solve -c = 7*h - 888 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31899, -37250, -42601?\n\"Answer: -5351*s - 26548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 - 2)*(-9*q + 38*q - 15*q)*(-3*q**2 + 4*q**2 + 0*q**2) in the form p*q + c*q**2 + b + x*q**3 and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 466 = -734. Let g = i - 2164\/9. Let q = 3.1 + 0.9. Sort q, g, -0.3.\nAnswer: g, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35*g*v**2 + 7455*g*v - 105*g - 52649*v**2 - 2*v wrt v?\nAnswer: 70*g - 105298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1066 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/169629 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11847)\/(-8) + 32\/256 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/7 (b) -4 (c) -1.82 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 126770 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118 a factor of 124668414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 97 - 695. Let h = 199 - y. Is h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f. Let y be (-4 - (-10)\/4)*8\/(-6). Let k(s) = 10*s**2 - 3*s**y + 18*s**2 + 29*s**2. What is k(j(x))?\nAnswer: 216*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 25. Let z(s) = s**2 + 8. Let m be z(0). Suppose -2*k + 0*k - 4 = 0. Which is the nearest to r? (a) m (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 3. Let o be y(-2). Let m be -3 + (-28)\/(-10) + 21\/30. What is the closest to -0.1 in o, m, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 38984191 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 2\/5 (c) -0.33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -2)\/(240\/695). Let z = -17\/3 - v. Which is the biggest value? (a) 3\/4 (b) z (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*t**3 + 63*t**3 + 87*t**3)*((-3 + 3 - t)*(-t + t + t) + 7*t**2 + 12*t**2 - 8*t**2).\nAnswer: 1280*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/280117 and -61\/161?\nAnswer: 1960819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 7082156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*o)*(-o**2 + 3*o**2 - o**2)*((3 - 5 + 1)*(-o + 2 - 2) + o + 0 + 0 + 6*o - 1 + 1) as d + x*o + u*o**2 + i*o**4 + g*o**3 and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 32, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*w + 0*w = -32, -2*n + 4*w = 14. Solve j - 5 = n*x, -3*j + 25 = 2*j + 2*x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + d**2 - d. Let g(y) = -y**2 - 14*y + 18. Let q be g(-15). Suppose 3*l - 98 = -2*k, 34 = l - 2*k + q*k. Let o = l + -30. Determine c(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29759 - -31064. Calculate the greatest common factor of 615 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s - 6. Let y be h(4). Let w(k) = -k + 57. Let f be w(9). Suppose -f + 72 = 8*z. Solve -x - 4*j = -1, 3*x + 3 - y = z*j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(((-2)\/1)\/(-2)). Suppose -l*y = 2*y + 10. Let z be (-4)\/3*(5 - 2). Sort 0, z, y in descending order.\nAnswer: 0, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.625 less than 0.0878?\nAnswer: -4.5372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -1, 5, 0.1, 212, 3\/7 in descending order.\nAnswer: 212, 5, 3\/7, 0.1, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 10*v**2 - 15*v + 3. Suppose -4 = -t - 0*s - 3*s, 4*t - 34 = -3*s. Let p = t - -2. Is r(p) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*g**3 + 14*g**3 + 5*g - 6 + 14*g**3 - 2*g**2 in the form b*g + s*g**3 + h*g**2 + p and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -1) + 0 - (-71 - -27). Let k = h - 23. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112923773 divided by -2\nAnswer: -112923773\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1216) - -1*sqrt(1216)) + -3)**2 + (sqrt(171) + sqrt(171)*2*3 - sqrt(171))\/sqrt(9) + -1.\nAnswer: -378*sqrt(19) + 19491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*t - 430 - 38. Suppose -10*f + 242 = t. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2021220 (base 3) to base 4\nAnswer: -122013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 641*v - 12. Let b be n(-1). Let w = 654 + b. Is w at least as big as 3\/553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*v + 26, 45 = 4*v - 5*a + 14. Solve -5*m = 5*h - 4*m + 17, 2*h - v*m - 2 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 6*a - 6. Let l be q(4). Suppose -2*m - l = -g, 0 = 2*g - 4. Let c be 3\/12 - (-2)\/m. Solve -3*h + c = -6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 351, 353, 355, 357, 359?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - f**2 - 1. Let a(z) be the third derivative of z**5\/60 + z**3\/6 - 2*z**2. Let d(r) = -r + 11. Let x be d(9). Calculate x*l(p) + 2*a(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 125 = 25. Let r be -1 + -3 - v\/15*-3. Solve r + 4 = 5*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11991*o - 24641*o + 9665*o + 0 + 0 to the form y*o + h and give y.\nAnswer: -2985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1668 less than 1670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 + 130 + (-4 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from {u: 6, q: 1, j: 6, t: 1, y: 3}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3223 divided by 37099?\nAnswer: 3223\/37099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182 = -276*o - 934 - 1368 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n - 3. Let b be f(2). Let g = -3 - -6. Suppose -d - g*d + 44 = 0. Solve 7*m + d = 3*m + 3*l, -l = -b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**31\/(r\/(r*r\/((r\/((r\/r**(-44)*r*r)\/r*r))\/r))))**(4\/5) assuming r is positive.\nAnswer: r**(316\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1605849 to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 + 348980*j**3 - 348983*j**3 - 91.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 95*z**5 - 1320*z**4 + 3280*z**3 - 2870*z**2 + 705*z + 110 = 0?\nAnswer: -2\/19, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*1\/(25\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7870596, -7870606, -7870616?\nAnswer: -7870626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from rrrrririirrriirrrrr?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 5 - (1\/6 - 1).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -535*f - 563 = -501*f - 4779. Solve -95*h + f = 29 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 91\/14)\/(1\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 9 = -19. Suppose -5*s + 715 = -5*b, -3*b = 4*s + m*b - 545. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 570 and 344850?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188*((-15)\/10 + 2)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 i when two letters picked without replacement from {b: 1, i: 3, x: 2, r: 6, c: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -348, -695, -1042, -1389?\nAnswer: -1736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2) + (sqrt(2) - sqrt(100)\/sqrt(2)))*4.\nAnswer: -12*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**2\/2 + 79*a - 21. Is l(19) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9103 times -71?\nAnswer: -135.6313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 464 (b) 4 (c) 1.9 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 78497 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-133)\/2527 + (-1799)\/114 - (-2)\/4 and 17\/7*1\/(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/10)\/((-3)\/15). Let z be 0 + d\/(0 + -1). Suppose -3*f = z*v + 5, 3*f + 3 = 4*f - v. Let g(y) = 2*y. Calculate g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3078995 + 6?\nAnswer: 30789a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from gggggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 77, 95, 139, 221, 353?\n\"Answer: 2*w**3 + w**2 + w + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 539347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2300 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 31 = 5*a, 3*m = 4*a - 40 + 11. Which is greater: 4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 1 (c) 11 (d) -0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -718*(60\/(-8) - -8). Let q = v - -1381. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5 + 645*z**4 - 104970*z**3 + 311050*z**2 - 309765*z + 103041.\nAnswer: -(z - 321)**2*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1043 is divided by 79.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-2 - -5) - (-44 - -42)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 38*m**2 - 9*m + 21. Let v be z(-6). Suppose v = -11*g + 17195. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + 27. Suppose 0 = -5*p - 5, -5*p - 24 - 6 = -5*d. Suppose 4*u - 2*k - 44 = -6*k, 0 = d*u + 4*k - 52. What is the greatest common factor of u and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*c = 65, 0*x + 115 = 4*x + 5*c. Suppose 2*i + 0 = -y + 13, -2*i - 8 = -2*y. What is the remainder when x is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8916.8 and -0.4.\nAnswer: 3566.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*u + 6 - 15. Solve 5*v + 45 = u*z, -39*z - 4*v = -38*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1091000 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96186?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 724595737 to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -542524 - -3?\nAnswer: -542521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*(-3)\/(-33)*850\/(-425)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 93?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**5 - 73578*k**4 + 11*k**3 + 19*k**2 - 44939*k?\nAnswer: 60*k**2 - 1765872*k + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32468405735.9731 + 32461122905. Let g = 7282536 + p. Let m = 295 + g. Round m to 3 decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**3 - 3*r**2 - 11*r - 11. Let i(l) = l**3 - l**2 - 4*l - 4. Suppose -s = -3*s. Suppose s*h = h - 16. Let u = h + -27. What is u*i(y) + 4*c(y)?\nAnswer: y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7519\/11 - -681. Is -4 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58*u**2 + 2*u - 3*u**3 - 15 - 54*u**2 - u**4 + 112*u**2 wrt u?\nAnswer: -12*u**2 - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/13)*l*l\/(l*l**(-2\/7)*l))\/((l\/(l**11*l))\/l**(5\/3)) assuming l is positive.\nAnswer: l**(3557\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from gzghzggggzggggzgzzh?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/9 and 33\/976.\nAnswer: 8784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 13*p - 13. What is z(10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*i + 3*i + i)*(-3*i + i + 0*i) + 2 - 2 - i**2 + 7 - 3*i**2 - 7)*(-355*i - 1 + 0 + 357*i).\nAnswer: -12*i**3 + 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8513, -1493, 10203, 26569, 47599, 73287?\nAnswer: 103627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46247717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1816.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 4*s + 4*k - 192, 0 = 2*s + k - 93. Suppose 45*h - 54*h = s. Which is bigger: h or -6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + -4 + (sqrt(13) + 2*sqrt(13))**2 - ((sqrt(468) + -3*sqrt(468) - sqrt(468))**2 + (-1*sqrt(65))\/sqrt(5)).\nAnswer: -4097 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11606876 times -2?\nAnswer: -23213752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 3 + 7. Suppose 0 = 4*o - 7*o + m*v + 127, 2*v = -5*o + 233. What is the greatest common factor of 30 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-368)\/(-12)*(-6)\/(-4). Let m(b) = b**3 - 10*b**2 + 8*b - 12. Let y be m(9). Let h = u + y. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8033 is divided by 894.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-6))\/(4\/(-24)). Suppose -u*o + 461 = 5*c, -4*c + 0*c = 5*o - 379. Let g(q) = -3*q**2 - c + q + 2*q + 89. Give g(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 9*g**2)*(-1 + 6 - 2).\nAnswer: 27*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 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: Let i(t) = t + 4. Let m(l) = l**3 - 4*l**2 - 4*l - 7. Let h be m(5). What is the remainder when (-12)\/(-5) + 4\/(-10) is divided by i(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 797406 + 398310. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8112875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/55 - 330\/605?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-3)*(7 + (-260200)\/37168). Let u be 0\/(128\/(-40) - 8\/10). Is u greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17756, 17834, 17966, 18152?\n\"Answer: 27*w**2 - 3*w + 17732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-414)\/(-24) + -27)\/((-26)\/104)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 1 + 9, -3*p = -2*h - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 8*f. Let r(h) = -h**2. Calculate n(r(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 115756 + -62771. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zisof. Give prob of sequence of.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2 + 1 + 4 + 2*o**2 - 8*o. Suppose 945 = 208*z - 19*z. Determine m(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 302 - 162. Suppose s = 5*o - 540. Does 8 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 7 = x. Solve 12 = -w + 4*w - x*o, 0 = 4*w + 4*o for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2. Let m(j) = -j**3 + 5*j**2 + 16*j - 12. Let n be m(7). Let w(k) = 1 - 3*k - n - 2 + 0. Calculate w(s(h)).\nAnswer: -3*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4169546 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-16 - (4 - 10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -6) + 0 + 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.3, -0.3605, 2, -2, -3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 43*y**2 - 2*y + 2. List the prime factors of u(1).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-40)*12275\/(-491).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -522 = 82*r - 24*r. Let v(i) = -2*i**3 - 4*i**2 + 4*i + 5. Let c(u) = 3*u**3 + 9*u**2 - 9*u - 11. Determine r*v(t) - 4*c(t).\nAnswer: 6*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 9 + 7)*(-10*a - 7*a**4 + 10*a) + (-3 + 3 - 1)*(-6*a**4 - 13*a + 13*a).\nAnswer: -99*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 a when three letters picked without replacement from {a: 10, x: 5}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: -568113 divided by -3\nAnswer: 189371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from {l: 2, u: 5, y: 7}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 6*i**2 + 6*i + 9. Let j be a(7). Suppose j*z = 3*k + 607, -17*k + 2 = -19*k. List the prime factors of z.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 227017 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13923 - 5823 = 540*m for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f - 3. Let s be w(-13). Let x = s - 15. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 10:08 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-10))\/(4\/30*-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -260535 divided by 5.\nAnswer: -52107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 145799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 0 - 3\/50*l**5 + 1\/105*l**7 - 1\/30*l**4 + 0*l**2 - 4*l + 2\/15*l**3 + 1\/75*l**6. Determine r so that z(r) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o - 3. Let j(h) = -2*h + 6. Let z(y) = -9*d(y) - 4*j(y). Calculate z(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from nhnnnnnnnnnnhnh?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17820.697 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086 is divided by 343.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*j - 5. Let f = j + -31. Let n = 5 + f. Which is the biggest value? (a) -0.1 (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115382.8 millilitres in litres?\nAnswer: 115.3828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 18*m + 2*x = 22, 4*m - 4*x = 16. Let l be ((-28)\/(-36))\/(7\/m). Does l = 3.23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2, 3, -0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 2, v: 1, e: 1, w: 1, c: 1}. What is prob of sequence qtv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {q: 3, f: 2, k: 9, w: 5}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 - 46.3. What is the third smallest value in 4, 5, r, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(119)*-4 + -3*(2*sqrt(119) - sqrt(119))))\/(sqrt(567) - 2*sqrt(567)*3 - (sqrt(567) - (2*sqrt(567) - sqrt(567))*-6)).\nAnswer: 5*sqrt(17)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -207 + 228.54. Let y = -20.4 + v. Round y to one dp.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**25\/j)\/j*j**(5\/2))**(-38) assuming j is positive.\nAnswer: j**(-969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.9845 + -23. Let b = h - -2.0155. What is the fourth biggest value in -1, 0.3, b, 7\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 42 in ascending order.\nAnswer: -2, 0, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -3*n - 308. Let c = 71 - n. What is the highest common divisor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**2 + 5*t - 9. Let m(p) = 16*p - 82. Let h be m(6). Let u(w) = -6*w**2 + 14*w - 26. Give h*x(c) - 5*u(c).\nAnswer: 2*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*k = 433, -2*d - 1712 = -6*d + 2*k. Let h = -312 + d. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j + 10, -6*p + 5 = -p + 2*j. Let f be 2\/1 + (-1 - p). Let w = 4 + f. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2792965 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/213344 and -39\/9040.\nAnswer: 1066720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -91 - -533. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 - 2*s + 1. Let r(w) = -45*w**2 + 51*w - 9. Give 2*r(p) + 18*z(p).\nAnswer: -18*p**2 + 66*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 134129 + -19.3.\nAnswer: 134109.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) + 6*sqrt(70)*-2)\/(sqrt(1000)*-2 - sqrt(1000))*-6*-5.\nAnswer: 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3 - (5 - (-11 - -14))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**3\/3 + m**2\/2 - 6. Let g(o) = -7*o**2 - 4*o. Let r(w) = -4*f(w) - g(w). Factor r(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 7*u + 10. Let j be q(8). Find the first derivative of j + 0*o**3 - 3 + o**3 wrt o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-3)*138\/230 + (-441)\/(-1440)?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -74032 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.6204385 minutes to weeks.\nAnswer: 0.001748059375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 32. Suppose 22*b + 64 = 24*b. Suppose 24*t - 20*t = b. Solve -c*r + 8 = -t*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/((sqrt(48)*2)\/sqrt(6)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 243299?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*v + z - 6, 0 = -2*z. Let t = v + 8. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1260 (base 7) in base 5?\nAnswer: 3413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p - 27. Let s(c) = -16*c - 135. What is -2*s(m) + 11*y(m)?\nAnswer: -m - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -3 (b) 0.5 (c) 5 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/8*(-2)\/(-5).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -1. Calculate the remainder when d is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26 - (-27 + 30)*(-10)\/(-6). Let j be (-1018)\/(-6) + 1\/3. Let p = j - s. Is 26 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 2. Let h be v(-2). Suppose -2*j + h*j = -4*y + 32, -2*j + 19 = 3*y. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 6*s**2 - s + 1. Let d(l) = -l**2 - 10*l + 5. Let i be d(-11). What is the remainder when t(4) is divided by (i\/2)\/(1\/(-5))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 0*c**4 - 5 + 0*c**3 - 1\/2*c**2 + 1\/6*c**6 + 0*c + 0*c**5. What is the second derivative of r(a) wrt a?\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-378)\/124 + ((-909)\/18)\/101*-6.\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlmqqmqqqlmmqwyqy. What is prob of picking 1 m and 1 l?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5505 + -5505. Which is greater: -1.31 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (27168\/(-64))\/((-3)\/(-4)). Let u = 1148 + c. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0907542858 rounded to three decimal places?\nAnswer: -0.091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -56065.\nAnswer: -1\/56065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (29 + 17)\/(-92)*(-4)\/6. Let s = -0.1 - -0.3. What is the smallest value in -0.2, u, s, 4\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h**3 - 1111*h**2 - 1863*h + 216537. Give p(223).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-63 - (-32 - -7) - 3)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/(((-22)\/11)\/4*-3)*66\/77\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1276\/7 - 182. Let l be (-3080)\/(-21)*12\/(-8). Let q = l + 221. Sort q, -4, s in decreasing order.\nAnswer: q, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.354 - 34.354. Let b = 19 + -54. Let l = t - b. Sort l, -6, 2\/11 in ascending order.\nAnswer: -6, 2\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45)\/sqrt(3))\/sqrt(5))**2 - (sqrt(363) + 2 + sqrt(363)).\nAnswer: -22*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -14 - 16. Calculate the highest common divisor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -26*d - 5. Let r be j(-2). Let k = r - 45. Let s(h) = -h**2 + h + 1. Let o be s(k). What is the second smallest value in 0, o, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 9:02 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-4)\/8*2 - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -9, -82, -3 in ascending order.\nAnswer: -82, -9, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1872)*-2 - (3 + (sqrt(1872) - sqrt(1872)*4 - sqrt(1872))))*-4)**2.\nAnswer: -2304*sqrt(13) + 119952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -125, -185, -247?\nAnswer: -311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 112012001111?\nAnswer: 112012001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 295*b - 4662. What is v(15)?\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2 - 74*z + 423. Determine f(11).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2. Let k(r) be the first derivative of -r**2 - 6. Give k(w(l)).\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(153) + -2 + -6*sqrt(153)*-1)**2 + 5 + 3.\nAnswer: -96*sqrt(17) + 9804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -8*p. Suppose -3*a - 2*a + 1245 = p. Is 29 a factor of 3\/(9\/1)*a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 29*q - 378. Let g be c(13). Let j(k) = 423*k**2 + 4*k + 4. List the prime factors of j(g).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 228, 225, 220, 213?\n\"Answer: -t**2 + 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, x: 2}. What is prob of sequence xv?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a + 7584 = 2652 - 7948. Let g = 14 + -7. What are the prime factors of g\/((-14)\/a) - 1?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 183424026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 3*u + u + 21, -k - 2*u = -3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 131383 and 1507.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10024 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9665586?\nAnswer: 2, 3, 7, 41, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/1242)\/(21 - 845\/39)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -232 + 233 - 30*n**3 - 15*n**3 in the form l + w*n**3 + z*n**2 + v*n and give w.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 75\/(-30)*16\/(-10). Put 1, h, -2 in decreasing order.\nAnswer: h, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from {v: 5, n: 8, b: 1, r: 3, d: 3}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/(-6)*(-1492)\/373 + -33.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -460 + 461. Let m = 13\/140 - -3\/28. What is the closest to -2\/3 in m, -2, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l**2 - 3*l**2 + 5*l**2)*(14917*l**2 - 7545*l**2 - 5592*l**2) as j*l**2 + d*l + t*l**4 + o + y*l**3 and give t.\nAnswer: -3560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 5934504.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 58, 329, 978, 2173, 4082, 6873, 10714, 15773?\n\"Answer: 28*t**3 + 21*t**2 + 12*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 24*i**2 - 45*i + 19. What is the first derivative of m(w) wrt w?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n - 17. Suppose -6*j = -5*j + 4. Let p be y(j). Is p greater than or equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + 53*m**2 + 50*m**2 - 58*m**2 - 3 + (0 + 5 - 6)*(0*m**3 - m**3 - m**3).\nAnswer: m**3 + 45*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127*z + 276*z + 1632 = -5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(14) + (sqrt(14) - sqrt(56)\/sqrt(36)) - 5*sqrt(14)*-2))\/(sqrt(448) - (-5*1*sqrt(448) + sqrt(448) + sqrt(448)) - 1*(-1*sqrt(448) - sqrt(448))).\nAnswer: -35*sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 964 - 21.5353.\nAnswer: 942.4647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -400 + 403. Solve -5*s - c = -8*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5090598 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -119 by -8343.\nAnswer: 119\/8343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 1\/9, 3, 0.02, -9.7?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 108*l**2 - l. What is the units digit of v(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -13, 3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 339649920 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from xwgzuzxxgrxrx?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.5962781 to one decimal place.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - 14*f**2 + 16. What is the remainder when 109 is divided by d(14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 + u + 4 + 0 + 5*u**3 + 7*u**2 - u**3. Let f(a) = -4*a**3 - 8*a**2 - a - 5. Let q(b) = 4*f(b) + 5*z(b). Determine q(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 2:29 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ad5 (base 15) to base 7.\nAnswer: -35552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 677199 + -677198.1. Let v be (-3)\/6*(-8)\/(-34). What is the nearest to p in v, -0.5, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 3) + (19 - 42) - (-3 - -110)\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 4, c: 4, o: 2, k: 3, g: 1}. Give prob of picking 2 o.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 4*l = 3*v + 311, 3*v = -3*l + 318. Let -6*d**4 + 100*d**2 - 35*d**5 + 29*d - 9*d + v*d**3 - 4*d**4 = 0. What is d?\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 40*t**3 + 2*t**2 - 3*t + 1. List the prime factors of x(1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90057?\nAnswer: 3, 11, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*2*sqrt(133) - sqrt(133) - sqrt(133)) + sqrt(133) - (sqrt(133) + (3*sqrt(133)*2 - sqrt(133))))\/(5*sqrt(63)\/(1*sqrt(729))).\nAnswer: -27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159927?\nAnswer: 3, 53309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0278681697 to four dps.\nAnswer: 0.0279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13, 32, 59, 94, 137, 188?\n\"Answer: 4*f**2 + 7*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(891)*-2 + 1)**2.\nAnswer: 108*sqrt(11) + 3573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172\/1118*(-182)\/(-686).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 z when four letters picked without replacement from {t: 4, s: 4, u: 5, z: 2}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(1\/5))**(19\/5)\/(c**(-6\/17)*c**(2\/27)\/c*c))**(1\/27) assuming c is positive.\nAnswer: c**(55526\/309825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -800*f**5 + 4020*f**4 - 81602*f**3\/15 + 804*f**2\/5 - 8*f\/5 - 1566. Factor b(j).\nAnswer: -2*(j - 2)**2*(100*j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 12:35 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 5*m - 43 + 42, 5*o = 3*m + 29 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 199813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from {j: 3, i: 7, d: 3, m: 1, g: 4}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/68349 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -950 and 0.069.\nAnswer: -65.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 5) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.96584cm to kilometers.\nAnswer: 0.0004096584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107*k**3*y**3 - 3*k**2*y**3 - 7*y**2 wrt k.\nAnswer: -642*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-4)*(-1)\/30*-2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + k - 11 - 2.\nAnswer: k - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 199058902 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 i be 528\/10 + (-1)\/(-5) + -2. Suppose 0 = i*x - 44*x - 336. Is 48 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10277 - -17432. Let b = f + -4937. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 - (130 + (35 - 70) - 35)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-230*t - 401*t + 129*t)*(-3*t - 10*t + 3*t).\nAnswer: 5020*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016227146 rounded to 7 dps?\nAnswer: 0.0000162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20391 + 49852. What is the thousands digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 7, f: 3, c: 7, x: 2}. What is prob of picking 2 c, 1 x, and 1 f?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -55, 5, 1\/5, 4, 2\/7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 911 = 4*y - 189. Suppose -q + y = 4*q. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -719 - -4569. Suppose 0 = 55*u - 30*u - b. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 86195100 to the nearest one hundred thousand.\nAnswer: 86200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2205668.1 months to years.\nAnswer: 183805.675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -288*r - 7429 = 321*r - 172*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 10 = 3*p. Let z be p\/4 + (-17)\/(-18). Factor 2\/9 + z*x + 2\/9*x**2.\nAnswer: 2*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 17*s**2 - 477*s + 35. Let r be b(28). Let x be (-4)\/14 - (-786)\/7. Calculate the greatest common divisor of x and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523 = -5*g - 3*r, -g + 106*r - 102*r = -123. What is the remainder when 12407 is divided by g?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a - 3 = 0. Suppose -3*g = -5*p + 8, -16 = -p - 6*g + a*g. What is the remainder when 7 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 82. Suppose b = 3*n + 8. List the prime factors of 6\/(-4)*n\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 17 = 2*k, 2*l - 19 = k + 7*l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-3 - 1) + (4 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*c + 39*c = 162. Let o be 5 + (-9)\/(c\/(-6)). Suppose o*x - 206 = -17. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-255)\/(-63) - 4)\/((-6)\/1349299). Let c = 10717 + n. What is the common denominator of -79\/33 and c?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (x**2 - 3*x**2 + 0*x**2)*(-2*x**2 - 5*x**2 - 2*x**2) + x**4 - 11*x**3 - 4*x**4 + 9*x**3 - 7*x as i*x**3 + h*x**4 + y*x + u + l*x**2 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/7 - 165*u\/7 + 24.\nAnswer: -3*(u - 1)*(u + 56)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159*g = -461 + 938. Let h(m) be the first derivative of -10 + 0*m**g + 0*m - 4\/5*m**5 - 7\/2*m**2 + 0*m**4. Find the second derivative of h(f) wrt f.\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.5 (c) 11\/2 (d) -5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 12*g**2 + 2*g - 21. Let p(f) = -36*f**2 - 7*f + 64. Let l be (-117)\/(-26)*(-8)\/(-18). Let t(k) = l*p(k) + 7*i(k). Differentiate t(x) wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*n - 22*n + 15*n + 30*n + 2 + 39*n as i + j*n and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 90108 + -54357. What is the thousands digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101 (base 2) in base 5?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 116860 or 116795?\nAnswer: 116860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5808, 5780, 5746, 5706?\nAnswer: 5660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17363938 - a?\nAnswer: 17363929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/1 - (-20)\/4. Suppose -5*w + 51 = -d*w. Calculate the remainder when w is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*q**4\/4 - 75*q**3\/4 + 73*q**2\/4 + 75*q\/4 + 7\/2.\nAnswer: (q - 7)*(q - 2)*(3*q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 121918.\nAnswer: -121914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 - f**3 + 0*f**2 - 4*f**3 + 5*f**3 + 0*f**3 + f**3 - 3 + 3 + (-f + f - f**3)*(2 + 3 - 7) - 4*f**3 + 3*f**3 + 3*f**3)*(-5499*f + 2110 - 2110).\nAnswer: -27495*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 107 + 58 = 0. Let d = 133 - h. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = 5*r - 5, -r = o. Let y(u) be the second derivative of 131*u**5\/10 + u**4\/6 - u**3\/6 + 4*u. Is y(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w - 66*w = -368. Which is the second smallest value? (a) -5 (b) -0.6 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**3 - 26*r - 26. What is a(-3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1925516?\nAnswer: 2, 481379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2061 times -143823\nAnswer: -296419203","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 4 = -4*n. Suppose n*h - 438 = x, 4*x = 4*h - 278 - 606. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -39, -67, -103?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*y - 45. Suppose -y*v + 799 = -3086. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/70*(165\/22)\/3\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 569575 divided by 6.\nAnswer: 569575\/6","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -31, -3, -1.6, -0.3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-12) + -1)*88*46\/92.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 350 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -65695\/6 < -10948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrorllllrlllllll. What is prob of picking 2 r?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2684 = -35*t + 1341. Calculate the remainder when t is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 48*t - 1395. Let k be l(31). What is the closest to k in 0.1, -5\/4, 4\/53, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49583957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + k - 11 = -a, -3*a + 22 = -2*k. Suppose q + 3*v - 2 = 0, -a*q - v - 2*v = 1. Let o be q - (0 + -1 + -2). Solve -o*j = -5*j - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37620901*t - 25384800.\nAnswer: -37620901","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 2144546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 5. Let h(n) = -16*n - 9. Let g be h(-1). Let s(o) = 3*o**3 + 5*o - 4. Let v(b) = 5*b**3 + 9*b - 7. What is g*s(i) + l*v(i)?\nAnswer: i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -550713.4 to the nearest 10000.\nAnswer: -550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 t when four letters picked without replacement from {t: 14, l: 4}?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4179*p + 3 - 3 - 39298*p.\nAnswer: -35119*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.457 + 7553293\nAnswer: 7553293.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0907044 to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0*d - 434*d**3 + d + 433*d**3)*(-d - 2*d + 0*d) to t*d + f*d**4 + v*d**3 + g*d**2 + q and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -497, -976, -1439, -1886, -2317, -2732?\nAnswer: -3131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1342*x**2 + 1322*x**2 + 1345*x**2 + 1350*x**2 - 5350*x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 9*v**2 + 7*v + 13. Let x be p(8). Suppose 0*l + x = l. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8723*l**2 - 26*l - 6*l**3 + 26*l - 8723*l**2.\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0625 - -2.0625. What is the nearest to y in -0.4, 3\/2, -0.5, -4\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -16 - 0\/2 - 0. Let d be 4\/h + (-17)\/(-4). Find the third derivative of -i**5 - 9*i**3 + d*i**5 + 9*i**3 - 3*i**2 wrt i.\nAnswer: 180*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(1\/4)\/t*t))**26 assuming t is positive.\nAnswer: t**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4 = -296. Suppose -15*j = -188 - o. Suppose -37*k = -j*k + 5. Which is the nearest to -1? (a) -0.5 (b) 0.2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 54\/11399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(32) + (5 + 1*sqrt(2))**2.\nAnswer: -14*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Suppose -3*c + 4*q = -3, -3*c + 0*q = q + 12. Sort f, -0.4, c.\nAnswer: c, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 6:21 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/1533 and (-6)\/(-18) + (-10885)\/31755.\nAnswer: 44457","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119.6512 + 271720.\nAnswer: 271839.6512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 3:14 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -226583221*x + 2*x**2 + 226583199*x - x**2.\nAnswer: x**2 - 22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -25*k**4 - 880*k**3 + 1650*k**2 - 560*k - 185 = 0. Calculate k.\nAnswer: -37, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 2 (c) 4 (d) -3\/5 (e) -3 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 5 = 2*x - 4*l, 2*l - 2 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 8*l**2 - 16*l - 33. Let g(u) = -10*u**2 + 15*u + 32. Determine 6*f(a) + 5*g(a).\nAnswer: -2*a**2 - 21*a - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 369 + -369 - ((29 - -17) + (2 - -6))\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127963 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -9*o**2 + 4*o + o**3 + 5*o - 2*o + o**2. What is the units digit of v(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.5 - -25. Let j = k + 0.7. Let g = 3.6 - j. What is g rounded to 0 decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -87 and 0.03.\nAnswer: -2.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 481*q**3 - 91*q**2 - 91*q + 91. Let a be (-3 + -1)\/(12\/(-27)) + -6. Let h(w) = -16*w**3 + 3*w**2 + 3*w - 3. What is a*f(j) + 91*h(j)?\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189515313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*f - 17574 = 0, -w + 5*f + 6861 = 2451. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2328 - 2281. Solve 36*t = a*t - 55 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 142*c - 103256. Give j(258).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12036377?\nAnswer: 563, 21379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**2 - 2*r - 1. Suppose 4*m - 15 = -7. Calculate the remainder when (-1)\/(-1) + 12 - m is divided by i(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + 26021524436?\nAnswer: 26021524468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from {n: 5, p: 6, d: 4, a: 1, h: 4}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 20, 3*o = 8*i - 9*i - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 8*a = -n + 27, 2*n + 4*a - 12 = 0. Suppose -2*h + 5*s + 24 = s, 3*h = -s + 36. Calculate the highest common divisor of h and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/((-741)\/104))\/(-212).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -182 - -181.921. Let q = o + 0.079125. What is q rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4)*(-144)\/27. Is (9\/(-12) - (-13662)\/o) + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 176*v - 364. Is y(14) a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15*(-48)\/(-54) - (-4)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/117 - 37\/117. Let g = -3.07 + 0.07. Let a = 2 - 1. What is the closest to a in g, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/13*o**2 - 4\/13*o + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5 = 5*h, -8 = -m - 5*h - 37. Let l = m - -2. Let p = l - -11. What is the highest common divisor of p and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 474 = 3*i. Let o = -506\/313 - -350346\/2191. Let k = i + o. What is the third smallest value in k, -1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 3*c + 5*c + 34, -6159*f + c + 20 = -6155*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 147, 160, 175, 192, 211, 232, 255?\n\"Answer: v**2 + 10*v + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 5*x**4\/24 - x**3\/3 + 14*x**2 - 24. Let t(z) be the second derivative of r(z). What is the first derivative of t(c) wrt c?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48278855?\nAnswer: 5, 2543, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 21, 4, -167, -18, 1.\nAnswer: -167, -18, -2, 1, 4, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s + 19912 - 19912.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0\/(-4) - (-43 + (2 - 0)) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 735 * -0.06\nAnswer: -44.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -522*n + 183*n - 301*n to the form h + l*n and give l.\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2283 + -2285.417. Round m to one decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 29*c**2 - 59*c - 61. Let u be t(31). Suppose 55*g = u*g + 12972000. Round g to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3619 and 2544674?\nAnswer: 17812718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 1\/8, -14, 0, -5\/7, 218 in ascending order.\nAnswer: -14, -5\/7, 0, 1\/8, 0.5, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m**3 - m**2 + 13*m + 4. Let h(u) = -15*u**3 - 3*u**2 + 25*u + 8. Let z be (10\/(-2))\/(-1)*-1. Let c(x) = z*p(x) + 3*h(x). Factor c(j).\nAnswer: -2*(j - 1)*(j + 1)*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4 (b) -3\/5 (c) 3\/2 (d) 0.2 (e) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**2 - 668*l - 23633. Give g(-29).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.641983 to two decimal places.\nAnswer: 1.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -755588272 - -4?\nAnswer: -755588268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 157 + -194. Let d = 37.00033 + g. What is d rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r - 17. Let f = -1 - -1. Let s be w(f). Let m(h) = -6 - 10645820*h + 3*h**3 + 10645820*h. Let l(i) = 9*i**3 - 17. Determine s*m(t) + 6*l(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559*l = 609*l - 21196550. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**2 - 5*o. Let l(u) = -7*u**2 - 5*u. Let z(s) = -2*l(s) + 3*y(s). Find the second derivative of z(v) wrt v.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785340649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**7\/105 + 7*d**5\/15 - 26*d**2. Find the third derivative of i(u) wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (146 - -1) + (-976)\/(-122). Solve -u = -4*p - 139 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**3 + 7*c**2 + 5*c + 2. Let b be z(4). Let a(q) = q**3 + 66*q**2 - 81*q + 255. Is a(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 3\/((-9)\/24). Let b = j + -4. Calculate the highest common factor of 42 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47020 * -310.\nAnswer: -14576200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, -0.5, 3, 1\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**3 - 2*h**3 + 2*h**3)*(-1107*h - 1009*h + 3 - 14 + 221*h - 1057*h).\nAnswer: 2952*h**4 + 11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 62.79?\nAnswer: -18.837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from uiiicimimmumimiicmm.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*d = -9, -10 + 5 = s + 4*d. Solve -2*u - a = a - 4, -s*u = -3*a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t - 7. Is k(8) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2505 <= 2778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 25\/6*t**3 - 101\/120*t**6 + 30*t**2 + 0*t**4 - t + 0 + 1\/20*t**5. Find the third derivative of u(l) wrt l.\nAnswer: -606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 67*a**3 - 77. Let u(l) = -1. Let b(q) = n(q) + 6*u(q). Find the first derivative of b(j) wrt j.\nAnswer: 201*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 f when two letters picked without replacement from bxxkff.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/12*3\/5)\/(-12).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -3*k + 38, 67*k + y - 24 = 63*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -4, 3\/7, 20.2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-12)\/4) - (1276 - 1186)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15652652 + 6182652. What is f rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 + 45. Let b be ((-5460)\/18)\/(m\/3). Let h = b - -2165. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 772105.6 micrograms?\nAnswer: 772105600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 228 - 73*d - 228 + 182*d + 87*d as z + o*d and give o.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9\/62, -0.023, 1\/101, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 3.835. Let w = l + 2.835. Let d be ((-2)\/4)\/((-1)\/(-4)). Which is the third smallest value? (a) w (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42523874 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 0, 1 in descending order.\nAnswer: 5, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -25318, -6, -4 in increasing order.\nAnswer: -25318, -6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 7. Calculate the remainder when z*((-44)\/16 + 2) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5160567423?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6965 times -0.2?\nAnswer: -0.3393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2326, 2324, 2322?\n\"Answer: -2*l + 2328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 14*o**2 - 32*o - 2. Give f(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102\/5*i**3 + 0*i + 0 + 0*i**2 - 37\/5*i**4 + 1\/5*i**5 = 0. What is i?\nAnswer: 0, 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + ((-3)\/(-4) - 783\/132). Which is the closest to -0.1? (a) 1\/9 (b) -5 (c) k (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, m: 3}. Give prob of picking 2 m and 1 r.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/13)\/(w\/(w**(-12\/5)*w))*(w*w*w**(-1\/9))**17 assuming w is positive.\nAnswer: w**(17471\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10028 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by (333\/(-6))\/(-5 + (-42)\/(-12)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4)*(-148)\/1665.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p - 4. Let m be b(5). Let a(z) = -4 + 5 + 11*z + 10 + 9 - 13. What is the hundreds digit of a(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejknjneee. What is prob of picking 1 j and 1 k?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(2*f - 4*f + 3*f)*(6*f + f + 2*f)*(0*f - 2*f**3 + 0*f).\nAnswer: -36*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 357604*l**2 - 954408*l + 636804 = 0.\nAnswer: 399\/299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 4, 1, -149, -1, -5, 3.\nAnswer: -149, -18, -5, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 3*k - 8, y - 4*k = -3*y + 56. What is the second derivative of -42*w + 371 + y*w - 371 + 2*w**5 wrt w?\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 110 * -0.744.\nAnswer: -81.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 + 7*g - 7*g + 1. Let y be w(-2). Is (-4*1 - y)*-223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 102846540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-6)*6)\/((-146)\/(-584)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106589 - 126121.21?\nAnswer: -19532.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 91439921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 595233096 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 s(g) = -1. Let i(x) = 5*x + 22. Let v be i(-5). Let k(p) = -3*p + 3. Let j(c) = v*s(c) - k(c). Let n(y) = -8*y. What is n(j(l))?\nAnswer: -24*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -3. Let f = -5 + 19. Let t = f - j. Calculate the remainder when t is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*f - 6*z + 35, 5*f - z = 17. Suppose -g + 1087 = -f*b, 3291 = 3*g + 4*b - 6*b. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38677.6 times -0.4?\nAnswer: -15471.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155776, -311554, -467332, -623110, -778888?\nAnswer: -934666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 941*m**7\/210 + 275*m**3\/6 + 131*m**2. Differentiate h(q) with respect to q.\nAnswer: 3764*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 3, -4, 0 in descending order.\nAnswer: 3, 0, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 52*g**3 + 4*g**2 + 15403*g + 42436713 with respect to g.\nAnswer: 156*g**2 + 8*g + 15403","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 63 = 3*p, 3*b + 42 = -p + 3*p. What is the smallest common multiple of 60 and p?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-5)\/(15\/(-6)). Suppose w*a + 5*v - v - 8 = 0, 5*v - 9 = -3*a. Let f = a - -3. What is the highest common factor of f and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(1331)*2)**2 + (sqrt(88) - sqrt(88)*1)\/sqrt(8)).\nAnswer: -26620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -10. Suppose 2*a - 16 = t*d - 6*d, 2*d = -4*a + 14. What is the lowest common multiple of (-9)\/(-2)*1*(-1 + d) and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gffo when four letters picked without replacement from fgfoggofg?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*l - 64, -600*l + 32 = -a - 604*l. Let d(k) = -k**3 - 16*k**2 + k + 6. Calculate d(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(0 + 0 + 1300*i**3 + 1833*i**3 - 104*i**3).\nAnswer: 3029*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 476 and 191114.\nAnswer: 382228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2683c4 (base 15) to base 5.\nAnswer: 433202414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 15*n - 1348. Suppose 42 = -t + n. Suppose 11*u - t = 992. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -11, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/9 + (-3)\/((-162)\/3630). Calculate the highest common divisor of d and 134.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1\/2*d**4 - 3\/2*d**3 - 1\/2*d**2 + 3\/2*d = 0. What is d?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -348301 - 350410 - 5*s + 698711.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, -10, -21, -32, -43, -54?\n\"Answer: -11*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 163 times -8\nAnswer: -1304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52257 + 0*p - 72292 + 3*p - 4*p.\nAnswer: -p - 124549","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1401, 2773, 4149, 5529, 6913?\nAnswer: 8301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (15\/(-5) + 4)*(-152424)\/(-29)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.348 - 4.652. Sort 0.36, l, -3 in decreasing order.\nAnswer: 0.36, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.31112 or -0.2?\nAnswer: 0.31112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 25\/(-5))\/(-2). Let l(q) = 2*q**2 - 2*q - 2. Let o(j) = -j**2 + 3*j + 2. Determine h*o(i) - 3*l(i).\nAnswer: -4*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 314474089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20135\/18 + -1112. Calculate the common denominator of 68\/9 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + u + 5 = 0, -p + 2*u - 5 = -0*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*v + 48*v + 5. What is the tens digit of (478\/(-2))\/(1\/v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6881966 and 546.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 bigger than 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, a: 1, c: 1, y: 4, z: 2, f: 3}. What is prob of picking 1 a and 1 y?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.4 + 3.4. Which is the third smallest value? (a) f (b) 2\/5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30579, 61291, 92003, 122715?\n\"Answer: 30712*w - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c = 96 + 60 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**3 + 3*x**3 + 0*x**3 + (3 - 3 + x)*(4*x**2 - 5*x**2 + 3*x**2) + 1635 - 56*x**3 - 1635 - 4*x**3 + 3*x**3 - x**3.\nAnswer: -53*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*s = s - 7, -4*h - 32 = 4*s. Suppose j = 2*z + 3*j - 4, z + 5*j = -10. Suppose z*k - 2*k = 12. Sort k, 1, h.\nAnswer: h, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcv when three letters picked without replacement from {c: 4, g: 4, d: 5, s: 1, v: 1}?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3904 - 3904. Let p = -1 + 0. Which is the closest to o? (a) 1\/2 (b) p (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5 and 20\/1933 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 1 = 4*t, -6398*s + 6400*s = -5*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**8\/20160 + i**7\/5040 - i**6\/360 + 149*i**5\/60 - i**2 + 8. Let u(q) be the third derivative of a(q). Calculate u(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 21*w + 3. Let m be l(-2). Let k = m - -45. Solve 2*f - 4*f = -k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ou when two letters picked without replacement from {g: 4, o: 2, u: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*i)*(4 - 4 + i)*(5 - 16 - 16) + (-2 + 2 + i)*(-2*i - 3*i + 6*i).\nAnswer: -80*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-7)*(-48)\/(-1320)*-77\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340634 = 11*a + 3*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/13)\/d)\/(d\/(d*d*d\/d**(1\/2))) assuming d is positive.\nAnswer: d**(11\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 + 0.03. Let z = 41 + -124\/3. What is the nearest to a in -0.5, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*d**4 - 180*d**2 + 180*d**2 + 0*d**4 + 9*d**4 - 2*d**4 + (0 + 2 - 1)*(-2 - 2*d**4 + 2).\nAnswer: 41*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6388418 minus -0.01?\nAnswer: -6388417.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 166 + -125. What is the remainder when t is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**3 + n**2 + n - 4. Let z(t) = 5*t**3 + 24*t**2 - 3*t + 12. Let s(g) = 12*l(g) + 4*z(g). Factor s(k).\nAnswer: -4*k**2*(k - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 703 - 713. Let h(k) = -44*k - 432. What is the remainder when 23 is divided by h(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284912 is divided by 99?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/7))**(2\/5)\/(d**(-6)*d**(-9)) assuming d is positive.\nAnswer: d**(531\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*l - 238*l + 3449 + 1829 = 29*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 38. What is the smallest common multiple of 22 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9)*y)\/(y\/(y*y\/(y\/y**(2\/13))*y*y))*(y\/(y**(-1\/35)*y*y*y))\/(y**(-3\/11)*y) assuming y is positive.\nAnswer: y**(-42767\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knyyynkkyysyhkys. What is prob of sequence kyy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y + 3*y + 0*y)*(19*y - 16*y + 17*y) in the form r*y + j*y**2 + l and give j.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 5*r**2 - 6*r + 5. Let a(g) = -g. Let l = 8 + -12. Let k be a(l). Determine f(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56938?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1020 (b) -5 (c) 8 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 11, l: 9}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*n - 14 = -59*n. Calculate the lowest common multiple of n\/((-13)\/((-2535)\/(-10))) and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Let r be -2 + (-12)\/(-27) + 2. Let o be (-1 + 5)*(-2)\/(-92). Which is the second smallest value? (a) o (b) z (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 7:50 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.01 and -0.5993?\nAnswer: 0.6093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 3*w**2 - w + 3. Let z be f(3). Is 17 + 2\/(2 + z) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(153) + sqrt(153)*2)*-3)\/((-2*sqrt(441) + sqrt(441) - sqrt(441))*-4).\nAnswer: -9*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1418329, -2836666, -4255003, -5673340, -7091677?\nAnswer: -8510014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2385, 0, -29 in descending order.\nAnswer: 2385, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -0.06 (b) 0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/7, 0, 1\/2, -0.65?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -6. Let a = 1 - t. Let i be 2\/(-3) + (-2)\/(-3). What is the closest to i in 2, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*s - 12*s - 4*a + 14, 3*s = 4*a + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.04\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 70, 154, 272, 424, 610, 830?\nAnswer: 1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1241 + 0.2741. Sort 0.02, o, -1, -5 in increasing order.\nAnswer: -5, -1, 0.02, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 68 - 60. Let t(l) = l**3 + 6*l**2 + l - 4. What is the least common multiple of t(-5) and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1956*u + 378 = 1964*u - 3022. What is the remainder when u is divided by 199?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-50 - -37 - (-3 - -2)) + 3 + 1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18433 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: b\"What is the hth term of 57122, 114240, 171358?\n\"Answer: 57118*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 569 + -311. Let q = v + -256. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -331.\nAnswer: -331, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 95\/(-35) - (2 - 5). Let x = 2 - 0. Let u = 656.6 + -657. Which is the smallest value? (a) x (b) u (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*v = -d + 7, -5*d = 5*v + 15. Let n(w) = w**3 + 4*w**2 - 6*w - 1. Is n(v) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -l - 0*l. Let b be (-12)\/6 - (-2 - l). Calculate the remainder when (b + (-1972)\/(-12))*(-6)\/(-4) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/i**(-3)))*i**(4\/7)\/i)\/((i\/(i*i*i**(-5)*i*i))\/(i\/(i*i*(i**3\/i)\/i*i*i)*i))*(i**(2\/5)\/i)**(3\/49)\/(i**(1\/4)*i\/i**(-3\/2)) assuming i is positive.\nAnswer: i**(-4131\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1756*k**2 + k - 1. Is l(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 331 and 33076?\nAnswer: 32745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*n + 6. Let y be (8\/28)\/(n\/(-14)). Suppose 190 = 8*q - 4*q - y*r, -r + 40 = q. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-2)*(-2)\/12\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/8*2\/(-10)*-7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -66. Suppose -4 = -k + 5*k - 4*h, v = 4*h. Suppose 0 = -3*c - 12, -5*t + k = c + 3. Solve -r = -3*n - t, 2*n + 11 = -r - n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -214*m - 7275. Give x(-34).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -61900 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3940883 and 8549?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 405 = g. Suppose -r = 4*d + 61, 2*d - 16 - 15 = r. Let t = g + r. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + r - 5, 3*z + 2 = -5*r + 3. Let x be (z\/9)\/((-2)\/18). Suppose -217 = -4*g - 5*s - 55, 5*s - 124 = -x*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/30)\/((-108)\/48).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + 112. Suppose h + a = 13*h. Calculate the remainder when 43 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-4) + -6 + (-108)\/(-16). Suppose 195 + k = 39*h. Solve h*b + 10 = 0, 4*j = 5*b + 4 - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2658*p - 1785 = -2539*p for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -1\/7, 2\/9, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80*x**2 - 15 - x**4 - 2*x**4 - 1 + 18 to h*x + t*x**2 + k*x**3 + n + b*x**4 and give t.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830621?\nAnswer: 11, 75511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**2. Let s(z) be the third derivative of z**5\/60 - 7*z**3\/6 + 258*z**2 + 2*z. Determine i(s(k)).\nAnswer: -5*k**4 + 70*k**2 - 245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a = 0. Let b(v) = -v**2 + 10*v - 5. Let p be b(7). Let g = p - 11. Solve -g*j + 0*j = a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*v + 10*v - 279 = 173*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -361129*c*i**2 - 142088*c with respect to i.\nAnswer: -722258*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1822 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 540 to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9095343 and 11028.\nAnswer: 2757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 4*d - 1061, -4*f + 2*d - 853 = d. Let t be (408\/22)\/(6\/(-69)). Let v = f - t. Is 1 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -123*h**2*s**2*y + h**2*s**2 - 16*s**2 wrt y.\nAnswer: -123*h**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 1. Let j(i) = -i**3 + i**2 + 19. Let y(o) = 2*d(o) + j(o). Is y(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3125 + -3121. Let -2\/15 - 14\/15*m**r + 16\/15*m**2 - 8\/15*m**5 + 4\/15*m + 4\/15*m**3 = 0. What is m?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259090216.\nAnswer: 2, 7, 11, 23, 18287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 1)*(-1 + 5 - 5)*(9980 + 367*q + 113*q - 9978 + (-q + 0*q + 0*q)*(-2 + 1 + 0)) to the form n + h*q and give h.\nAnswer: -962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, i: 3, d: 3}. Give prob of sequence ixdi.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 70949\nAnswer: 4\/70949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6644, -9066, -11488, -13910, -16332?\nAnswer: -18754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 64, -3, 3\/22?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v + v + 2*v)*(-v - 5*v + 4*v).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 5*a**2 - 4*a + 3. Let v be x(4). Is (v\/(-2))\/((-3)\/132) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 6. Suppose 2*p + 18 = -5*l, -5*l + 2 = -4*p - 4. Which is the second smallest value? (a) g (b) l (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -16*m + 88. Let l be n(5). Suppose -2 = -4*s + 2*j, -l = 3*s - 4*j - 12. Solve s = h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -212 + 206. Let j be (4\/((-40)\/(-45)))\/w. Put -0.2, 4, -0.4, j in descending order.\nAnswer: 4, -0.2, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 + 3*v**3 - 3*v**2 + 6*v**3 + v**2 + v. What is y(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6968*-1\nAnswer: 6968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2461\/21 + -117. Let b(q) be the second derivative of -2\/21*q**4 + 0 + 2*q + l*q**3 + 0*q**2 - 3\/70*q**5. Suppose b(f) = 0. Calculate f.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 12 + (-10 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1478\/(-4))\/((-122)\/2684)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + a - 34 = 0, -3*v + 68 = v - a. What is the greatest common factor of 425 and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3 - -2)*0)\/2. Let y be (-33)\/44 - (-7)\/20 - 290\/(-350). What is the closest to 1 in y, 2\/7, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -14, 0, -5\/2, -4, -0.5, -1762?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 1. Let k(z) = -3*z - 7. Let n(p) be the first derivative of p**3\/3 + 15*p**2\/2 - 49*p + 10. Let w be n(-18). Calculate w*a(s) + k(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5381*u**2 + 38301*u.\nAnswer: 10762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 + 91. Let i(x) = 20*x**2 + 41*x - 5. Let h(y) = 19*y**2 + 42*y - 6. Let p(q) = k*h(q) - 6*i(q). What is the second derivative of p(m) wrt m?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a\/(a*a\/a**(-6)))\/a)*a*a*a**(-7)\/a*(a\/(a**(2\/3)\/a))\/(a\/(a*a\/(a*(a*(a*a*a*a**2\/a*a*a)\/a)\/a))) assuming a is positive.\nAnswer: a**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = v + v, h + 34 = -2*v. Let b be (h\/12)\/(3\/6). Let z be (-2 - 5\/(-3)) + 75\/(-45). Sort -3, b, z in ascending order.\nAnswer: b, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57759232 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(((-16)\/12)\/4). Suppose -90 - 183 = -n*k. List the prime factors of k.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-4) - (0 + -3). Factor -2\/3*v**4 + 0 - 2*v**c - 2*v**3 - 2\/3*v.\nAnswer: -2*v*(v + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6751 + 6760. Let m = -2 + 6. Suppose 2*v + 4*y - 72 = 0, -m*v + 125 = -y - 55. What is the remainder when v is divided by j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 + -52. Let w = 24 - l. Let b(m) = 87*m + 3. Let o be b(w). Calculate the highest common divisor of o and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*2*sqrt(66))\/(sqrt(54)\/(-2*sqrt(144)))*4.\nAnswer: -192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 w when four letters picked without replacement from wkwwkkkkww.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -175, -834, -2469, -5566, -10611, -18090, -28489?\nAnswer: -42294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(55\/(-105) + (-6)\/(-9)). Suppose -5*t = -4*n + g, -3*n - 3*t + 18 = -21. What is the remainder when 48 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c + 3. Let a be j(4). Let u(z) = -z - 6. Let y(q) = -q - 5. Let i(w) = -6*u(w) + 5*y(w). What is the units digit of i(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-21) + 5\/2 + -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2731.\nAnswer: 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 4, q: 1, h: 2, b: 1}. Give prob of sequence ck.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 5 = -5*m, 0 = -49*z + 45*z - 4*m + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-376)\/120 - -2) + (-2)\/10\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by 938.\nAnswer: -43\/938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68023\/20874 - -11\/3479. Find the common denominator of -1 + 381\/(-84) + 5 and h.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a11 (base 11) to base 9.\nAnswer: -1607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-14))\/(6*(-33)\/77)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzxxrdvr. Give prob of sequence zdxb.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 68, -12, -140, -316, -540, -812, -1132?\n\"Answer: -24*t**2 - 8*t + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**2*x**3 + 7706*b**2*x**2 - 8878*b**2 wrt x?\nAnswer: 6*b**2*x**2 + 15412*b**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1558 or 0.2?\nAnswer: 1558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -690*(28\/21)\/(0 - 2). Suppose -4*w = 256 - k. Calculate the remainder when w is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1386 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1585, -2956, -4081, -4960, -5593, -5980, -6121?\n\"Answer: 123*d**2 - 1740*d + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 55 = 3*q, 3*q + 5683500 - 5683469 = -2*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25*g**4 + 24*g**3 + 156*g**2 - 9*g + 4.\nAnswer: 600*g + 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 - 2*y - 6. Let h be g(6). Let a = h - 114. Let j = a - 27. Calculate the greatest common divisor of 14 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -2*x - 1\/10*x**5 - 19\/15*x**6 + 0*x**4 - 99 - 9\/2*x**2 + 2\/3*x**3. Find the second derivative of m(i) wrt i.\nAnswer: -456*i**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*19\/((-1805)\/38))\/((-2)\/30).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {u: 7, b: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 744100?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*x + 149*x**2 + 2 - 265*x**2 - 22*x + 114*x**2 as r*x + m*x**2 + j and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/4*468\/(-91))\/8?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s - 4. Let b(q) = -q + 2. Let a(h) = h**3 + 4*h**2 + 4*h + 3. Let l be a(-2). Suppose 4*k + 2 = 4*n - 14, -l*k = -6. What is n*v(t) + 11*b(t)?\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2d21 (base 14) in base 16?\nAnswer: -1f81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 12 = 4, -2*d = -5*f + 26 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*s - 31*s - 12. Let k(m) = 3 - s + 5 - 3 - m - 5*m**2. Give k(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s - 3. Let i be n(-2). Let d(q) = -q**3 + 4*q**2 + 7*q - 7. Let o be d(i). Suppose -388 = -o*y - y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105\/(-108) - (-1 - 3\/(-12))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6))\/((-9)\/3)*2\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(6\/5)\/u**0)**14 assuming u is positive.\nAnswer: u**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -5*q**2 - 2*q - 43. Let n(t) = 6*t**2 + 3*t + 44. Determine -2*n(v) - 3*y(v).\nAnswer: 3*v**2 + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1846.607641 rounded to one decimal place?\nAnswer: 1846.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*n - 80816 + 86562 = 0 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 109?\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 144 + -233. Let y = 272 + g. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 + -20. Let m = -17 - -10. Let k(n) = -n**2 - 6*n + 7. Let o be k(m). Solve o = -u*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (104 - 5*l - 104)*(-l**3 + 7*l**3 + 0*l**3) + (-l**3 + 0*l**3 + 3*l**3)*(-4*l + 2*l + 0*l).\nAnswer: -34*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + (-4852)\/(-715) + -3. Let l = j - -2\/143. Which is the smallest value? (a) 0.3 (b) l (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10211002131 (base 4) in base 9?\nAnswer: 2228430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9199.074 millennia?\nAnswer: 919907.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -14, -77, -140, -203?\n\"Answer: -63*r + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -121, -640, -1557, -2872, -4585, -6696?\n\"Answer: -199*g**2 + 78*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 309958\/3 + -103319. Factor b*c**3 + 0 + 8\/3*c**2 + 16\/3*c.\nAnswer: c*(c + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 140861425 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.939 in 1\/3, -6\/5, 240, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 + 4*c**2 + 2*c - 6. Let r be w(-2). Which is smaller: r or 23?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/((-28)\/(-12)) + (3 - 5). Put d, 2, 5, -2 in descending order.\nAnswer: 5, 2, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -158*z**3 - 310*z**2 - 95694 wrt z?\nAnswer: -474*z**2 - 620*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 22*k + 17. What is the remainder when f(3) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, o: 1, c: 5, x: 1, a: 4, v: 3}. What is prob of picking 2 p and 1 a?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.74 + -0.26. Let i = 15.0085 + w. Round i to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -20\/9, -40.7, -5, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 2*w = -11, 285*d + 5*w = 286*d - 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 4. Let z(u) = u + 3. Suppose -7*m + 6 = -6*m. Let b(h) = m*p(h) + 5*z(h). Differentiate b(k) wrt k.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 76*i + 690. Let n be y(-9). Solve 0 = -4*r + 27 - 15, 0 = c + 2*r - n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164907181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -30*x**2 - 243*x - 20. Let i be t(-8). Let h(c) = 125*c - 506. What is h(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46 - -1?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28883867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 1) + -4 - (-92 + 89)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3337\/6 + 556. What is the nearest to 19 in m, 0.3, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 11:12 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 11053*g - 276343. What is l(25)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11213 (base 8) to base 2\nAnswer: -1001010001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2284607?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 399 + -399. Let u = -6.7 - 3.3. Let f = -12 + 8. Which is the nearest to w? (a) f (b) u (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + c - 6. Let f be i(0). Let z be ((-5)\/45)\/(7\/f). Let j = 37 - 37. What is the closest to 0.1 in z, j, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -i + 4*f, -4*f = 2*i - 9*f + 6. Let g(o) = o**2 - 6. Let v be g(i). Let r be -1 + (-3)\/6*-8. Solve 2*k + 2 = 0, r*b - 5*b + 7 = v*k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443\/(-1480) + 1 - 8\/((-128)\/6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*h = 16, 8 = 4*s + h + 1. Find x such that -1\/2*x**s + 3\/2*x + 0*x**2 + 1 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225885 divided by 45177?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.053 - 3.22. Let r = 2.167 + z. Is 19 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -643411.33 + 657250. Let m = v + -13682. Let b = -156 + m. Round b to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 188*p + 189*p = -40, -5*p = -4*t - 16 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 23*h**2 - 4*h + 106. Give b(23).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 1. What is the derivative of 2*u**3 + 2 - 7*u**3 + 3*u**f wrt u?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9322601, -9322592, -9322583, -9322574?\n\"Answer: 9*r - 9322610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 989 is divided by 245?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**2 + 42*z - 32. Let d be w(12). Suppose -7 - 9 = -4*j. Let y be j\/(-14) - (-58)\/7. What is the greatest common factor of d and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2499, 6, -5, -1\/2, 2489 in descending order.\nAnswer: 2489, 6, 1\/2499, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 72*g**2 + 65*g + 15764. Give w(-74).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26598.999968579 - -26599. What is b rounded to six dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3824 + -3830. Let z = -0.515 - -0.115. Sort -7, 3\/7, z, a.\nAnswer: -7, a, z, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 21. Suppose -3*a + 7*a - x + 12 = s, x - 6 = 2*a. Put a, 3, -4 in decreasing order.\nAnswer: 3, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = n + 3. Let a(x) be the third derivative of x**5\/60 - x**4\/4 + x**3\/2 - 75*x**2. Let c be a(n). What is c rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -306*q + 108*q + 199*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 217?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4c1 (base 13) to base 2\nAnswer: -1101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -18. Suppose -v = -g*v + 3. Let f be -2 - (v + -4 + -6). What is the highest common divisor of f and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4616755 (base 8) to base 9\nAnswer: -2318520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20211013210 (base 4) in base 5?\nAnswer: 1033433223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 20*s**2 + 1680*s + 117614. Let j(h) = 7*h**2 + 560*h + 39205. Let q(c) = 5*f(c) - 14*j(c). Factor q(t).\nAnswer: 2*(t + 140)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnnnnnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31577*d*s - 45742*d wrt s.\nAnswer: 31577*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -17*m + 159. Let j be b(9). Solve 4*g + x - 7 = 0, 3*g - 3*x + j = -0*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013 times -50128?\nAnswer: -100907664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5303*u**2 - 11825 wrt u.\nAnswer: -10606*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11904104 a multiple of 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 14*u**3 + u**2. Suppose -3*v + v = 0. Let y(w) = -w**2 - w - 1. Let r be y(v). Give i(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56580 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10205 + 10502. Calculate the greatest common factor of 1881 and h.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 + 6*m**2 - m**2 as o*m**2 + g*m + v and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - (-7 - -3)) + -1. Suppose -4*k - 6 + 2 = 0. Put k, i, -5 in increasing order.\nAnswer: -5, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*i + 38*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k. Let j(n) = -3*n + 34. Calculate v(j(x)).\nAnswer: -6*x + 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28 and -1504.\nAnswer: 42112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g + 19. Let z be p(7). Let t(s) = s**3 - 12*s**2 + 2*s - 10. What is t(z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(-22)*-14*384\/56?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(60) - sqrt(960)*2)\/((sqrt(12) - 2*sqrt(1200)) + sqrt(12)) + (-1*(sqrt(30) + sqrt(120)))\/(sqrt(294) + -2*sqrt(294)).\nAnswer: 103*sqrt(5)\/126 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - b - 11. Give o(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.856 - -8.856. Let i = -3.4 - -14.6. Let p = i - 11. Which is greater: k or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -26*x**3 + 518*x**2 + 87*x - 523. Give d(20).\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1760770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 162994319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 + 50*p**2 - 35*p - 310. Let r be s(24). Let f be 11\/2 + 5\/(-10). Solve -r*q = 2, -4*l - f*q + 10 = -3*q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/119 - 104\/306.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 3*o**5\/20 - o. Let a(n) = -n**3. Let m be (12\/(-16))\/(-3) - 9\/4. Calculate m*t(p) - 5*a(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i + 2 + 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113669936?\nAnswer: 2, 293, 24247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10000 (base 2) to base 10\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.14 - 19.139668. Round j to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -623*l**4 - 2389*l**3\/3 - 172*l**2 + 4*l\/3 = 0.\nAnswer: -1, -2\/7, 0, 2\/267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*t - 5*h - 33, 2*t + 7 = -3*h. What is the units digit of 1853\/51 - t\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*a + 2*a + 2*a)*(0 + 0 - 7*a) - a**2 + 4 - 4)*(-21*a**2 - 3 + 3) as l*a**2 + v*a**4 + d*a + u + s*a**3 and give v.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5713 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + (23 - (2 - 0))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + -1)*6\/(-9). Find the common denominator of 9\/5 and (138\/9)\/(x\/(-2)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5105 - 3?\nAnswer: 5102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 6, 1322, -5, 5, -2, -1 in ascending order.\nAnswer: -14, -5, -2, -1, 5, 6, 1322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/3? (a) 17 (b) 4 (c) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 63*c**2 + 6 + 3*c - 4 + 194*c**2. What are the prime factors of h(-1)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1170 and 183724515.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 476741938 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05 + -5.05. Let l = 5 + x. What is the nearest to l in 1\/4, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -58 and 195860.232578.\nAnswer: 195802.232578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) - sqrt(34)\/sqrt(18))**2 - sqrt(68)\/(sqrt(576)*1 + sqrt(576)).\nAnswer: -sqrt(17)\/24 + 272\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28526 - 28400.19. Let m = 127 - r. What is m rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77\/1193 - -475621\/42948. Let z be (-21)\/6*(-180)\/(-56). Let d = r + z. Sort 0.4, -0.3, d in increasing order.\nAnswer: -0.3, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9072 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/360 and 199\/402570?\nAnswer: 1610280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 55397*5\nAnswer: 276985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -24*b - 11. Let t(r) = 16*r + 7. Let p(y) = -2*y**3 - 108*y**2 + 9*y + 491. Let w be p(-54). Calculate w*c(u) + 8*t(u).\nAnswer: 8*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.142507km?\nAnswer: 142507000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 19203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(294)*-2 + sqrt(294))\/sqrt(6))\/(-6*sqrt(448)*1))**2.\nAnswer: 7\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 6*y + 5 = 5*d, -3*d + 3 = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 813766867?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13115 - 13115.1. Which is the fourth biggest value? (a) r (b) -35 (c) 3\/8 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*m**3*w - 2*m**3 + m**2*v - m**2 - 4*m*v*w - 4*m*w - 7 wrt m.\nAnswer: 18*m*w - 12*m + 2*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 55\/34?\nAnswer: 55\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2400679*i**2*l**2*s + 63*i**2*l**2 - 47201*l**2 wrt s?\nAnswer: 2400679*i**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2164167820?\nAnswer: 2, 5, 108208391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42 + -39 - (-2)\/(171\/(-165) - -1). Suppose 0 = 2*z + 2*z - 4*b - 576, -4*z + 579 = -b. Let y = z - k. Calculate the remainder when y is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*w**2*z**2 + 11*w**2 - 40*w*z**2 - 2*w*z wrt w.\nAnswer: 12*z**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 51.8 (b) -1\/11 (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1347 and 2539993.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4135111 (base 9) to base 15.\nAnswer: -2d9457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 800451 and 8154?\nAnswer: 4802706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -681 = -2*s + 301. Let x(o) = -o**3 - 14*o**2 - 25*o - 2. Let z be x(-14). Let k = s - z. Calculate the greatest common divisor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2597682?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*v = 31, 5*l + 4*v + 15 + 24 = 0. Let y(z) = -z**3 - 8*z**2 - 7*z + 7. Let b be y(l). Let d(i) = 2*i - 10. Does 4 divide d(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 - 12795942508.\nAnswer: -12795942479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87100887 + -45045803. Let p = 64705084 - s. Round p to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) + 1)**2*6.\nAnswer: 72*sqrt(7) + 1518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 4:11 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2777 + 2801. Calculate the remainder when 185 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 6*i + 8. Suppose 10 = i*v, -5*n - 2*v = 3*v - 1445. Let u = 411 - n. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3240.751 + 12984.022. Let q = 9748 - a. Round q to 1 decimal place.\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9131 - 9137. Is h less than 1\/402?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2482 + 0.9582. Which is the nearest to -0.2? (a) -2\/7 (b) u (c) -2\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98616 is divided by 9846.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10 - 2*r + 13*r - r. Let z(p) = 30*p - 3. Let h = -38 - -47. Let d(n) = -7*n + 1. Let y(x) = h*d(x) + 2*z(x). What is 2*j(m) + 7*y(m)?\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 39*n**2 + 2*n. Let z(c) = -1062*c**2 + 3*c + 1049*c**2 - 3*c. What is s(z(r))?\nAnswer: 6591*r**4 - 26*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*b = 29*b - 105 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + p + (0 - 1 + 2)*(-p - 3 + 3) + 0*p + 2*p - 4*p - 28*p + 12*p + 17*p)*(5*p - 18*p - 5*p).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.29 + 0.76. Let y = l - 2.05. Which is the third biggest value? (a) 0.1 (b) 0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*j + 24 = 0, 3*a + j - 9 - 7 = 0. Suppose a*h - 32 = 28. What is the highest common divisor of 324 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of 7*i + 3\/2*i**2 + 26. Determine f(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/8088 and -127\/1641864.\nAnswer: 1641864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence book when four letters picked without replacement from bjbobjokobbkkbobb.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 240982811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**4\/7 + 752*i**3\/7 - 106032*i**2\/7 + 6644672*i\/7 - 156149792\/7 = 0.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5457?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3\/41312 - 2958969\/41312. Let g = p + 72. Let d = -4\/15 - -23\/30. Which is the nearest to d? (a) g (b) 1\/6 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 61 = -3*p, 50 - 7 = 2*p - 3*x. Suppose 0 = 4*u - 64 + 8. What is the lowest common multiple of p and u?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/91342031 or 0?\nAnswer: 2\/91342031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 2*z**2 + z + 1. Let r be p(2). Suppose 5*u = -3*i + 3*u + 120, r = -u. What is the remainder when i is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 534 and 623?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 627672 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4))**(-3\/8))**3*(g**(2\/3))**(-39)\/(g\/(g*g\/((g**0*g)\/g*g*g)))**(-44) assuming g is positive.\nAnswer: g**(585\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u + 13. Let k be n(2). List the prime factors of ((-264)\/72)\/(1*k\/(-15)).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 1:51 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-15 - (-2 - 12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1615 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/31, -2\/33, -80\/3?\nAnswer: -80\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8010336?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 51, 87, 137, 207, 303, 431?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -66045904818 take away -0.04?\nAnswer: -66045904817.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -29\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1494664, -2, 54 in descending order.\nAnswer: 1494664, 54, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16122 or 16123?\nAnswer: 16123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91 + 180. Let j = q + 13. What are the prime factors of j?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 7*f**2 + 3*f - 5*f**2 - f. Let s be t(-2). Let u be (1 + 1)\/(s\/(-6)). Put u, 2, 0.4 in increasing order.\nAnswer: u, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 437864 and 30.\nAnswer: 437894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46222655233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 50 = -10. Let v(s) = 31*s**3 - 2*s**2 + 4*s - 19. Is v(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23700.\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/56 and -9\/64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 788*b + 741*b + 735*b - 2252*b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*p + 21*p + 5*q - 27882, -3*q + 27878 = 4*p. Does 19 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8\/3, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 8:39 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2813, 5880, 8933, 11972, 14997?\n\"Answer: -7*z**2 + 3088*z - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-84)\/63)\/((-3)\/12)*58111875. What is l rounded to the nearest 1000000?\nAnswer: 310000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24.176 - 1.176. Which is the closest to 1? (a) 1 (b) 0.4 (c) -2\/7 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 17030015, 17030013, 17030011, 17030009?\n\"Answer: -2*m + 17030017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z\/(z*(z*z**(2\/13))\/z*z*z)*z*z)\/(z*z*(z\/((z*z**26)\/z))\/z*z))\/(z\/(z*z**(-22))*(z\/z**(-5))\/z))**(-1\/75) assuming z is positive.\nAnswer: z**(41\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 2*u**2 - 12*u + 59. Let b be q(0). Let k be 0 + -40 + (-1)\/1. Let n = b - k. What is the remainder when n is divided by 51?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 times -278.5\nAnswer: 3063.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(190)\/(sqrt(40)\/sqrt(4)) + (sqrt(19) - sqrt(76)\/(3*sqrt(4)) - sqrt(19))**2).\nAnswer: -5*sqrt(19) - 95\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, m: 3, d: 2, o: 5, a: 3}. What is prob of sequence oa?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 20400 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (310*d**3 + 78*d**3 + 475*d**3)*(d**2 - 2 + 2).\nAnswer: 863*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 3. Let x be -1 - (1 + (-1 - -2)). Let j be x - (-9)\/((-12)\/(-4)). Solve j = -n*d + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2352882 (base 9) in base 6?\nAnswer: -43154502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*a**4 - 19*a**4 - 12*a**5 - 10*a**2 wrt a?\nAnswer: -720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2. Let z(l) = -10 + 10 + l. Determine z(v(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sksskyykks. What is prob of sequence ss?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 353441 is divided by 10175.\nAnswer: 7491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -16*v**3 - 2*v**2 + 2*v + 4. Let y(m) = -48*m**3 - 7*m**2 + 7*m + 13. What is -14*i(n) + 4*y(n)?\nAnswer: 32*n**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5\/4239 + 2867\/1632015. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -108.30685 take away 52?\nAnswer: -160.30685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c**2 - c. Let n(j) = 22894*j + 3. Determine n(z(k)).\nAnswer: -91576*k**2 - 22894*k + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*f - 64*f + 55. Calculate the remainder when 3 is divided by (-1)\/(-1)*f\/11 - -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/6 + 31\/6. Put s, -5, 8, -3 in decreasing order.\nAnswer: 8, s, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 57 = 3*f - 123, -12 = 4*f. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 3.6. Let q = t + -275.5. Let a = q - -272.109. What is a rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26866400 is divided by 3092?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 + 42048693*p**2 - 210243390*p = 0. Calculate p.\nAnswer: 0, 5, 14016226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -13, -11, -9, -7, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3814973.\nAnswer: 3814973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2007045630?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 4) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -170, 4, 11560.\nAnswer: -170, 2, 3, 4, 11560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44522*k**6 + 1050*k**4 + 3*k**3 + 11*k**2 - 902*k + 5748.\nAnswer: -5342640*k**3 + 25200*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13003110002 (base 4) to base 5.\nAnswer: -433123303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 256423 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (3456\/36 - 93)\/(1326\/4)\nAnswer: 2\/221","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2 = -8. Let u = 3\/2 - a. Which is bigger: 4 or u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -25435710\nAnswer: 7630713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27017034?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6222 divided by -3.\nAnswer: 2074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1459*h**3 - 137*h wrt h?\nAnswer: -8754*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 341 and 347325.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4\/5 + 72*j**3\/5 - 14*j**2.\nAnswer: -2*j**2*(j - 35)*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*y, -2*h - 3*h + 10*y = 48 - 73 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 247 - 379. Let u = 656\/5 + r. Which is the closest to 2\/5? (a) 0 (b) u (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -416193874.24000271 + 416193872. Let w = 0.001 - -2.239. Let b = p + w. What is b rounded to 7 decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15300 divided by 5?\nAnswer: -3060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, -27, -5 in decreasing order.\nAnswer: 7, 0, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n*p**3 + 169*n*p**2 - 103*p**3 - 5*p**2 wrt p.\nAnswer: -12*n - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71 is divided by (-3)\/((-3)\/(-4)) - (0 - 23)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112964?\nAnswer: 2, 31, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.08 + 0.08. Let p = -1 - z. Let h = -2 + 1.5. Which is the biggest value? (a) h (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 3*y**2 + 0*y**2)*(245*y**2 + 90*y**2 + 43*y**2).\nAnswer: -378*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 0*c**2 + c**2)*((3 + 2 - 3)*(0 + 2 - 3) - 2 - 1 + 0 - 2 - 1 + 1)*(5*c + 52 - 52).\nAnswer: 70*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 + 234 = s - 3*l, 2*s = -2*l + 390. Suppose s = 2*c - 142. List the prime factors of c.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 2*w**4 + 0 + 4\/15*w**5 - 68*w**2 + 0*w**7 + 1\/84*w**8 - 3\/10*w**6 + 0*w + 0*w**3. What is c in d(c) = 0?\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence njjf when four letters picked without replacement from fjfjzaajjjzzfzzffn.\nAnswer: 5\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-6))\/(16\/480). Let i = l - -50. What is the remainder when i is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -218849, -436353, -653857?\nAnswer: -871361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z + 11. Let v be i(-2). Suppose 13 = 4*l - v. Solve 2*f + 16 = -4*h + 4*f, -3*f + l = 2*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15431 = 34*u - 15227 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 40290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n + 20. What is t(-8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1416 - -3938. What is the common denominator of 903\/60 + (-1)\/(-5) and m\/2912 - (-9)\/42*-2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**5\/20 - n**4\/12 - n**3\/6 + 9*n**2\/2 - 2*n. Calculate the remainder when 34 is divided by c(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 168, 573, 1996, 5049, 10344, 18493?\n\"Answer: 102*f**3 - 103*f**2 + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 5:32 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*s**2 + 1 + 11*s**2 + 10*s**2 - 1.\nAnswer: -15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t\/t**4)\/t*t)\/(t*t**9))\/(t**7*t*t**1) assuming t is positive.\nAnswer: t**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 111, -3, 3, -1, -157, 0 in increasing order.\nAnswer: -157, -3, -2, -1, 0, 3, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + (sqrt(76) - (sqrt(76) + -2*sqrt(76)*-2)))\/sqrt(4).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 21198.\nAnswer: -21200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*v + y - 442, v - y = 139. Calculate the greatest common factor of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1792587\/2 + 2319*f + 3\/2*f**2.\nAnswer: 3*(f + 773)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18944 - 18942. Solve a*s + 46 = 36 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*g - 50*g + 14*g + 0*g - g + 4*g + (1 + 0 - 3)*(1 - 1 - g) + g - 1 + 1 - 2 + 2 - 2*g + (3*g + 0*g - 2*g)*(-6 + 4 + 0))*(2*g**4 + g**4 - 4*g**4).\nAnswer: 49*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40426*h*u*y - 2364*h*u + 377*h*y - 10*h + 3*y - 1100 with respect to y.\nAnswer: 40426*h*u + 377*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72647 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: Put -1, 1, -36, 179, 5, -4, -2 in descending order.\nAnswer: 179, 5, 1, -1, -2, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 12. Suppose n = 4 - i. Solve n + 1 = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 1. Let c = -2 + 5. Let p(b) = 2*b**c - 10 + 4*b**3 + 3*b**3 - b**4. Let l(j) = -2*p(j) + 18*w(j). Differentiate l(h) wrt h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71309 and 21.\nAnswer: 213927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2278*k**2 - 30*k**3 + 959*k - 2278*k**2 - 957*k.\nAnswer: -30*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxxbgbbxgwbwgbyxxb. Give prob of picking 1 g and 2 w.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7302.\nAnswer: 2, 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -467, -457, -421, -347, -223, -37, 223?\n\"Answer: 2*x**3 + x**2 - 7*x - 463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 146905 (base 11) in base 5?\nAnswer: 24304240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76\/(-38))\/((-5)\/310)?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(6*-2*sqrt(5) - (sqrt(45)*1 - sqrt(45)))**2 - ((2*sqrt(405)*6)**2 + 3).\nAnswer: -54003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(3 + 12\/8))\/6\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 432956 by 17.\nAnswer: 25468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**4\/15 + 272*k**3\/15 + 29362*k**2\/5 - 548604*k\/5 + 2497392\/5 = 0.\nAnswer: -164, 9, 282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**10\/50400 + o**9\/12600 + o**8\/11200 - o**4\/6 - 2*o. Let q(c) be the third derivative of f(c). Factor q(k).\nAnswer: 3*k**3*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4\/5 + 10752*x**3\/5 + 10749*x**2\/5.\nAnswer: 3*x**2*(x + 1)*(x + 3583)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*j**4 - 10 - 4*j**4 + 10 - 5*j**2 wrt j.\nAnswer: -216*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from hhububhu.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 482, 963, 1444, 1925?\n\"Answer: 481*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r. Let s be o(-1). Let p be (11400\/(-1))\/((6\/(-40))\/s). What is p rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37842 and 19716?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1080\/(-12)*(-2)\/(-2)*((-65)\/10)\/(-13)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**3 - 22*o**2 + 61*o + 264. Determine u(5).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*n - 92 = 207*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**3\/5 + 9819*x**2\/5 - 187644*x\/5 = 0.\nAnswer: -3292, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 266 - 262. Solve -n + b*c + 18 + 6 = 0, n - 5*c - 29 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1451, -1422, -1365, -1274, -1143?\n\"Answer: i**3 + 8*i**2 - 2*i - 1458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -16. What is the second biggest value in -3, -1, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 1)*(-2*g**3 + 3*g - 3*g)*(-2*g**2 + 2*g**2 + g**2).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/(-96) - 125\/6. Let l = i - -26. Solve -a**3 + 4*a + 5*a**3 - 3*a**3 - l*a = 0 for a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u - 4. Let d be k(3). Let h = 562.3 + -562. What is the closest to 1 in h, d, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.36 - -0.36. Let c = 0 - 1. Let d = -1 - -6. What is the nearest to 2\/9 in r, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, 2446, 1881 in decreasing order.\nAnswer: 2446, 1881, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.202694 centimeters?\nAnswer: 2026940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/54)\/(5\/30)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyy when three letters picked without replacement from {m: 2, i: 4, c: 3, j: 3, u: 4, y: 2}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3453758 is divided by 160?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2473583712 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 406036 (base 10) to base 2\nAnswer: 1100011001000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -74158, -147945, -221732, -295519?\n\"Answer: -73787*i - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -165956, -165960, -165966, -165974, -165984, -165996?\nAnswer: -166010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20331 divided by -4?\nAnswer: -20331\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 107*t**2 - 14*t**4 - t**5 - 107*t**2 + (-3*t**3 + t**3 + t**3)*(-t**2 + 4*t**2 - 4*t**2) - t**5 + 4*t**5 - 2*t**5.\nAnswer: t**5 - 14*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 9. Let n = y - 3. Solve 5*j - n = 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikkkkkkkkkkikkkkiik. Give prob of sequence ik.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/11 - 4941\/(-8052)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.93 + -0.07. Let y = 43 + -42. Which is the nearest to y? (a) -0.5 (b) s (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.3 - 13. Let w be (2\/6)\/((-1)\/(-3)). Let d be (-1)\/(-3) - 1\/w. Which is the nearest to d? (a) o (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3255?\nAnswer: 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1471735010907 - 5?\nAnswer: -1471735010912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 = 3*r + 67. Suppose 550 = 516*q - 241*q. Which is greater: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/3 + 2)*9. Suppose -f + 64 = r*f. Calculate the least common multiple of f and 22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -124*f**3 + 4*f**2 + 2*f - 1. Determine u(-1).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1410*j**4 + 1197.\nAnswer: -5640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008336111712 to five dps.\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2284354 = -171*p + 1125899. What are the prime factors of p?\nAnswer: 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.798 and 0.3?\nAnswer: 0.2394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3, -5, -2\/15, -11, -9?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -4*l + 360. Suppose -5*w + l + 235 = 0. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52753.5 nanometers in centimeters?\nAnswer: 0.00527535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1330236, -2660469, -3990702?\n\"Answer: -1330233*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554180.\nAnswer: 2, 5, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4877 and -110?\nAnswer: 53.647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 19*z**7\/2520 + 19*z**4\/24 - z**3\/3 + 7*z**2 + 5*z. Let n(p) be the second derivative of x(p). Calculate n(1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*a**3 + 101*a**3 - 396*a**3 + 98*a**3 + 96*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9)*-1*((5 - -19) + -39)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 494696*o**3 - 247371*o**3 - 247326*o**3 - 15.\nAnswer: -o**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003202 to four decimal places.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 7*j**2 - 8*j - 1. Let g be i(-8). Let n = -18 + 30. Let o = n + g. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f**2 - 2*f**2 + 3*f**3 - 2*f**2 + 2 - 2*f**2 to the form y*f + j*f**2 + d*f**3 + i and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -3810539 and -3810539 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 212 = -3*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 515 - 437. Calculate the smallest common multiple of y and 9.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 5730*x. Let d(b) = -3278 + 0*b**2 + 3278 - 6*b**2 + 8*b**2. Determine n(d(o)).\nAnswer: 11460*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (5 - 6) + -2 + 0 + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 21. Solve -m - r - 2 = -1, z = 3*m + 5*r + 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4))\/((-1)\/(-8)). Suppose q*s - 7*s = -6. Suppose -6 = s*d - 3*d. Solve v + d*k - 26 = k, -v - 3*k = -16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r. Let t(u) = -23*u**2 - 3. Let o(x) = 713*x**2 + 92. Let a(w) = -3*o(w) - 92*t(w). Give v(a(k)).\nAnswer: 46*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 133.14 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 15531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z. Let h(q) = 16262*q**2. Calculate h(m(i)).\nAnswer: 796838*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2009 - 54. Let i be ((-5)\/(-4))\/(12\/48). Calculate the remainder when i\/(-30) - v\/(-6) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 1*(-1 - -2)*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that o**3 + 310*o**2 - 75679*o + 370520 = 0.\nAnswer: -472, 5, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 3*m = -20, 3*u = 4038*m - 4037*m + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.7 (c) -3 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*z = 0. Let k = -4829 + 4828.6. What is the second biggest value in 3, -0.1, z, k?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 8:57 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 12 = 2*v, 5*g + 8 = -5*v + 28 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 9:19 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 28*f**3 - 1104*f**2 + 7488*f.\nAnswer: f*(f - 12)**2*(f + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p**2 + p - 2. Suppose 0 = 31*w - 5578 + 4121. Calculate the remainder when w is divided by m(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(720))**2 + -5*sqrt(5)*-3*-3.\nAnswer: -45*sqrt(5) + 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 5:56 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2572 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/4 - 114425*z\/2 - 114424.\nAnswer: -(z + 2)*(z + 228848)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 152245 to the power of 1\/2, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(165\/(-6)))\/(135\/10395).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575*m + 18*n - 33 = -572*m, 4*m - n - 25 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 183 (b) 0 (c) 0.4 (d) -2\/3 (e) -3 (f) -208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 10:08 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 345 - 599. Let t = 356 + x. Let s = t - 12. Calculate the highest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f - 20 = 0. Suppose 0 = f*m - 0*m - 55. Calculate the least common multiple of 2 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19792268 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 = -93*i - 756 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -178 + 893\/5. Which is the third smallest value? (a) x (b) -1.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**4 + 3*v**4 + 3*v**4)*(-3*v + 14 - 12 + v).\nAnswer: -2*v**5 + 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**2\/9 - 431228*z\/9 = 0.\nAnswer: 0, 215614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2574)\/(-18))\/(-13))\/((-3)\/(-3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0598 + -74.9902. Let n = t - -75. Let f be 16\/10*2\/8. Which is the third smallest value? (a) f (b) -0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 295 - 295. Suppose 18*m - 12 + 48 = c. Does -6 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 306 = -54. Let l = z - 30. Suppose -4*d**2 - l*d + d + 31 - 3 + 8 = 0. What is d?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285\/3041 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuubbububbbfbbuulf. Give prob of sequence bu.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1056\/(-1144))\/(198\/117)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, y: 1, u: 3, s: 5, c: 2}. Give prob of sequence uc.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7, -76, -277, -644, -1225, -2068, -3221?\n\"Answer: -8*w**3 - 11*w**2 + 6*w + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92 + 88. Let f be 14\/(-77) + w\/(-22). Suppose 0 = 5*x - f - 25. Let s(k) = k**3 - 4*k**2 - 3*k - 2. Determine s(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from {b: 2, u: 3, g: 9, e: 4}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35 in 0.1, -4\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 53793.\nAnswer: 376551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h + 2125*h**2 + 2109*h**2 - 4221*h**2 - 13. Let q be 4\/6*(0 + 3). List the prime factors of y(q).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/5 of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {r: 1, u: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8232564 or -8232569?\nAnswer: -8232564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 13*z - 25. Let h be l(15). Suppose -4*m + 8 = -4*b, -m - 4 = h*b - 6. Solve -a**m + 5\/2*a + 3\/2 = 0 for a.\nAnswer: -1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24956748 and 1173.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 4*l - 2. Let h be u(-4). Let c = h + 1. Let t be 3\/((-18)\/13) + 2. Is t equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(22)\/(sqrt(8)\/sqrt(4)) + (sqrt(220)\/sqrt(4))\/sqrt(5) + 4 - (sqrt(110)\/sqrt(8))\/(sqrt(125)*1)).\nAnswer: 19*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26685.5205 rounded to the nearest one hundred?\nAnswer: 26700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**6 + 9*o**5 + 27*o**4 + 5*o**2 + 849*o - 1.\nAnswer: 240*o**3 + 540*o**2 + 648*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12562171745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -y**3\/3 - y**2 + 4*y - 1005. Suppose 5*q = -13 - 2. Calculate p(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -b + 24, 3*r = 5*b - 2*b - 54. Calculate the least common multiple of 14 and b.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 1. Let n be g(1). What is the third derivative of 62*t**3 + 3 - 5 - 6*t**2 + t**n wrt t?\nAnswer: 372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, d: 2, h: 2, c: 2, t: 1}. Give prob of sequence hi.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1870 by -187.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 + 98.2. Let y(q) = 18*q - 1. Let p be y(1). Let r = p + -17. Which is smaller: d or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2737 or 4961?\nAnswer: 2737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -1, -3\/7, -59 in increasing order.\nAnswer: -59, -5, -3, -1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13695 by -2.\nAnswer: 13695\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 28, 0.1, 20?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - y = -17, d = 3*d - 5*y. Let i = 329 - 327. Put d, i, 28 in ascending order.\nAnswer: i, d, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 70 = 4*d, 2*d + 2*d = 3*o + 58. Suppose 0*w = -5*w - 10. Let s be w + (-1)\/(-2)*52. What is the highest common divisor of d and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5990 + 5?\nAnswer: 5995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73377 - -73379. Solve -4\/3*d**q + 80\/3*d + 0 = 0.\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 2:24 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000307581552 to 6 dps.\nAnswer: 0.000308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30.65 - -28.65. Which is the closest to x? (a) -2 (b) -0.2 (c) 4 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -1 (c) 0.1 (d) -24 (e) 0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/11 - 18*w**2\/11 + 42*w\/11 - 2.\nAnswer: -2*(w - 1)**2*(w + 11)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4\/3 + 1402640*o**3\/3 - 5610688*o**2 + 67328768*o\/3 - 89772032\/3.\nAnswer: 4*(o - 4)**3*(o + 350672)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 2:41 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0550614984 + 9076530.6649385016. Let d = j - 9076444.72000204. Let a = d - 86. Round a to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, e: 3, s: 2, d: 10, u: 2}. Give prob of picking 2 s.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**6\/36 + 13*l**5\/10 + 145*l**4\/8 + 1081*l**3\/18 + 84*l**2 + 54*l + 1602. Determine z so that t(z) = 0.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24271 + 24275. What is the closest to 2\/5 in 0, -12\/113, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = a + 2296, 2*i + 0*i = 4*a + 2302. Let z = i + -437. Suppose -5*b - u + 731 = 0, 102 - z = -4*b + 5*u. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - 11*u**2 + 5*u - 10. Let l be v(-12). Let f = 74 - l. Solve f = -3*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kyykyeyyyyeeyeyyeye. Give prob of picking 2 e.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nj when two letters picked without replacement from {n: 1, o: 4, u: 2, j: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.95 + 0.05. Suppose 0 = -2*l - 5*p + 34, -l + 5*p + 2 = -0. Let i be (9\/l)\/(20\/16). What is the second smallest value in i, y, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1312 and 512?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -28*m**2 - 439*m + 3649. Calculate v(8).\nAnswer: -1655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 18*g - 15. Let b be -1 - (8\/4 + -22). Let h be t(b). Solve 0 = m - h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 538541, 538544, 538549, 538556, 538565, 538576, 538589?\n\"Answer: l**2 + 538540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6016 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 2:37 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 1142*q + 5734. Determine t(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 7, 5\/8, 4\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w**(2\/61)\/w)\/w)*w**19 assuming w is positive.\nAnswer: w**(1340\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f + 0*f + (-1 + 0 + 2)*(-f - 4 + 4))*(-7*f**2 - 7 + 7).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9527.652 millilitres?\nAnswer: 9.527652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67799*f**3 + 91750*f wrt f?\nAnswer: -406794*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 569749\/7 - 81228. Let v = n - 165. Which is the biggest value? (a) 3\/2 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15.5*0.3\nAnswer: -4.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-156)\/(-20) - 7)\/(-11*(-4)\/10). Determine x, given that 4\/11*x + i*x**4 - 4\/11*x**3 + 0*x**2 - 2\/11 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4322013 (base 5) in base 3?\nAnswer: 10201122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*p - p. Suppose 5*u - 19 = 2*a, 11*a = 4*u + 9*a - 16. Suppose u*n - 72 = -p. What is the remainder when n is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*f**2*g - 14508600*f**2 + 12*f*g + 44545*g wrt g.\nAnswer: -9*f**2 + 12*f + 44545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1 - 25*d**5 - 1 - 10*d**2 + 58*d**5 + 35*d**5 wrt d?\nAnswer: 4080*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.9 (b) -2\/9 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -81? (a) 12\/73 (b) -5\/4 (c) -0.2 (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - k - 8. What is the smallest common multiple of w(6) and 246\/(-17 - (-148)\/8)?\nAnswer: 1804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.1941726 and 7.3.\nAnswer: 8.4941726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**12*u**(4\/9)*u*(u**1)**(-47) assuming u is positive.\nAnswer: u**(-293\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-30)*w*w**31*(w**(1\/10)\/w)\/w**(2\/65) assuming w is positive.\nAnswer: w**(269\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 31 = -4*j, -j = -4*s + j + 4. Solve 0 = s*w - 0*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24451, -48886, -73321, -97756, -122191?\nAnswer: -146626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/5 (b) -2 (c) -4 (d) 0.2 (e) -2.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -12238 and -12238 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -271, -541, -811, -1081, -1351, -1621?\n\"Answer: -270*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9.522 in 0.2, -18, 0.3, -2\/11?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -65\/4, -0.101, 7?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-36000)\/4)\/9 - 6. Let z = 2094 + p. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.6 - -0.4. Let y = 2.3 + -2.13. Let g = y + -0.27. Which is the nearest to 1? (a) g (b) 2\/9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 4*h - 24.\nAnswer: 4*(h - 3)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 378*v = 3460 - 2236 + 3690 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5043 = -73*b + 76*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98538?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 5:18 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -2*r**2 + 0 + 16\/9*r**3 + 0*r**5 - 2\/3*r**4 - 6*r + 2\/45*r**6. Factor t(l).\nAnswer: 4*(l - 1)**3*(l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/((-50)\/(-107135)) - (-4)\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2744*h**5 + 17444*h**4 - 20468*h**3 + 9640*h**2 - 2032*h + 160 = 0.\nAnswer: 2\/7, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 1 - z + 0*z - 4*z + 4 - 4 - 4*z - 6 + 6 + (-3 + 0 + 1)*(5 + 2*z - 5) - 5*z + 0*z + 3*z - 5*z + 4*z - z to a + w*z and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 + 3467*s**2 + 140088*s - 37241. What is l(1773)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1\/6)\/(-1) - 47815\/(-438)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 2*u, -r - 137*u + 133*u - 10 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 18 + 72 - 1568*t - 20.\nAnswer: -1568*t + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 = 3*y. Let k(m) = 4 - m - y - 3*m. Let j(i) = -i. What is j(k(c))?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43138391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5799, 1, 0, -2, -139 in ascending order.\nAnswer: -139, -5, -2, 0, 1, 5799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -603*k - 7809. Calculate z(-13).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 73*a**2 + 177*a - 2. Let i(k) = -85*k**2 - 178*k + 2. Give 6*i(n) + 7*l(n).\nAnswer: n**2 + 171*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3890 is divided by 118?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g = -5*g - 12. What is the common denominator of -25\/188 and g*1 - (108\/(-45) + -5)?\nAnswer: 940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cnooccnonumncouu. What is prob of sequence on?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69260840411 + -4.\nAnswer: 69260840407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3471 and 37129287?\nAnswer: 3471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 135 + -133. Suppose g*t + 9 - 57 = 0. Suppose -4*v + t = 8. Solve -3*c - 4 = -j + 2, -2*j + v = -2*c for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of 2*j**2 - 1\/3*j**4 + 0*j**3 + 0*j + 0. Let l(v) = -2*v**2. Determine z(l(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 18. Put 2, n, -5 in decreasing order.\nAnswer: 2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -121, 16 in descending order.\nAnswer: 16, -1, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mapneneeahhamaeea. Give prob of picking 1 h, 1 m, and 1 p.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606696 is divided by 3990?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2556*k**2 - 28*k - 7*k**3 + 2556*k**2 wrt k.\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 17*a**2 - 17*a + 8. Let g be x(16). Let j(r) = r**2 + 8*r + 3. Let m be j(g). Is m\/45*5 - (-224)\/3 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3451d8 (base 14) to base 2\nAnswer: 110110010110111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65530, -126604, -187678, -248752, -309826, -370900?\nAnswer: -431974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1283226 is divided by 2957.\nAnswer: 2845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 2\/11 (c) 3\/5 (d) 3\/8 (e) -8.35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + t - 1)*(7*t + 0*t + 10*t) in the form o*t**2 + b*t + p and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -194 > -192?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -23. Let q(v) = -8*v**3 + 6*v**2 - 5*v. Let i(b) = 9*b**3 - 7*b**2 + 6*b. Calculate w*q(f) - 5*i(f).\nAnswer: 3*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 3*f = 5*x + 107, -x - 11 = 2*f. Is -17 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12 + -2 - -11 - 249\/(-132) and 73\/128.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 9*f**2 - 12*f - 19. Let i(j) = 2*j**3 - 19*j**2 + 26*j + 42. Let a(p) = 4*i(p) + 9*x(p). Calculate a(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23482197?\nAnswer: 3, 79, 101, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-240)\/640*(-536)\/1086 and 10\/7.\nAnswer: 2534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-35)\/45 - (-248)\/18. What is the greatest common divisor of v and 784?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.1 + -6.100325. Round v to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 1 - (-2 + 5)) + (74 - 81).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 312 + -219. Suppose -4*a = 3*x - a - j, x - 46 = 2*a. What is the least common multiple of x and 6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2077*f**5 + 1519*f**2 wrt f.\nAnswer: 124620*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -840+105\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 41*u - 7. What is the units digit of j(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/13, -20, 12.5, 5\/4?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -358*o + 373*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 60*z + 4985 = 4605, 8*z = -48 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2\/2 + 4679*v\/2 + 282410 = 0.\nAnswer: -4555, -124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 - (-25 - -50) - ((-3 - 2) + -2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/9*4\/(-8)*-12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -1 - 81\/(-1). Suppose -7*y = 17 - 31. Suppose 2 = -4*g + 2*v + 32, 0 = -y*g - 3*v + 27. Calculate the highest common divisor of o and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -z - 2, 3*z = 5*i - 2 + 7. Let h = z + 6. Solve 5*c + v = 23, -c = 4*v - 3 + h for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 12029*i**5\/5 + 9709*i**3\/3 + 8258. Find the third derivative of x(n) wrt n.\nAnswer: 288696*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 475 = -12*c. Let p = 38 + -20. Solve -b + p = 4*q + b, 3*q + c = 5*b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 76?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12374 to the power of 1\/2, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**2 + 6. Let n(i) = 4*i**2 - 13. Let r(v) = -6*n(v) - 13*q(v). Let x(p) = -3*p. Calculate r(x(z)).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/3)\/q**(2\/5)*q**(-1\/8)\/(q*q\/((q\/(q\/q**(-5)))\/q))*(q**(-2\/9)\/((q\/(q\/(q\/(q**(-2\/7)\/q))))\/q))\/(q**3*q**(-2)\/q) assuming q is positive.\nAnswer: q**(-26963\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2499887708.6.\nAnswer: -2499887705.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 5. Sort 0, h, -4 in ascending order.\nAnswer: -4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/21 of a week?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v\/v**(2\/7))*v*(v*v**(-25))\/v)\/((v\/v**(4\/9))\/v)**(-1\/38) assuming v is positive.\nAnswer: v**(-27203\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = -4*i - 95 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 4*r - 5)*((-5 + 2 + 6)*(0 + 5 - 3) - 4 - 3 + 6).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103303 + 11?\nAnswer: -103232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/2 (b) 8\/3 (c) 0.01 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1578555653.\nAnswer: 1578555653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-13 - -13) + 8 - (4 - -2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.4 (b) 5 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-119))\/(4785\/2805).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22070.\nAnswer: 2, 5, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(147)*-1 - sqrt(147))**2.\nAnswer: -2940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 6 - 15, -5*r - 5*o = 0. Let i be -1 + (-2 - (-15)\/r). Find the common denominator of 10\/i*18\/25 and -29\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-700 - 12\/2)*(-10)\/(-4). Let m = -1245 - b. What is the tens digit of m\/18 - 21\/(-189)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 6*m**2 - 4*m**2 + 16*m**2.\nAnswer: 6*m**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.02, 0, 1, 2\/15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -6. Let w = -0.03 - 1.97. Let h = 1 + w. Which is the second biggest value? (a) h (b) -0.1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -20*w**2 - 4890*w - 130538. Determine k(-214).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*b + 3*b = 8, -5*b - 10 = 0. Suppose 2*p - p = x*n - 2, 5*n - 19 = -p. Solve 4*w + y = -5, 3*w + 20 = -0*w - p*y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2744171202?\nAnswer: 2, 3, 3011, 151897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43609 - 1086384909.\nAnswer: -1086341300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 874919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b2176 (base 15) to base 4.\nAnswer: -2021223321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 3, 0, 6, 660, -1, 4 in decreasing order.\nAnswer: 660, 34, 6, 4, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 6*h**2 - 2*h - 6. Let g be 2\/(-3) + 64\/(-12). Is i(g) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 839.\nAnswer: -4\/839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65.4 + -93. Let y = d + 28. Let k = 0.03 + 2.97. What is the third smallest value in y, k, 1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1542158 to the nearest integer?\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2108, -1\/6, 2, -41\/3.\nAnswer: -41\/3, -2, -1\/6, 2, 2108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3143 - -1?\nAnswer: -3142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - -10. Suppose -4*q + y = -3*q. Suppose 62*d - q = 61*d. What is the greatest common factor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1974, -15891, -53674, -127257, -248574?\n\"Answer: -1989*g**3 + g**2 + 3*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2)*(-2 - -1). Let r = 429 - 282. Suppose -4*w + r - 11 = h. Does 34 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.451909442 - -0.45198. Round p to 7 dps.\nAnswer: 0.0000706","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 11:00 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwcj. What is prob of sequence wj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/7*-2)\/((-51)\/(-119)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -10*h**3 + 1770*h**2 + 1011*h - 6. Let b(x) = -2*x**3 + 354*x**2 + 202*x - 1. Let t(l) = 11*b(l) - 2*k(l). Find the second derivative of t(m) wrt m.\nAnswer: -12*m + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -22*a**3 - 2*a**2 + 2*a - 1. Let c be i(1). Let n = -184 - -373. Suppose -8*v + 5 = n. Is v < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240 = -14*i - 70*i - 180 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 819 - 1343. Let k = 802 + u. What is k rounded to the nearest ten?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 9*p**5\/10 + 766*p**4\/3 + 1861*p**3\/3 + 338*p**2 + 1097*p + 2. Factor t(y).\nAnswer: 2*(y + 1)*(y + 169)*(9*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -7*x - 9*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 4*q**3\/3 - 11*q**2\/2 + 11*q + 6. Let b(l) = -l**2 + 3*l - 3. Calculate -6*a(t) - 22*b(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = 8*r - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3\/7 - 10*t**2\/7 + 2*t\/7 + 10\/7 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9346*s**2 - 15677*s + 1.\nAnswer: 18692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6538 and 8406?\nAnswer: 58842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 3394601132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 6*h + 28. What is u(11)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzpjppjzj. Give prob of sequence zp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 632548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {g: 3, x: 2, w: 4, c: 3, j: 7}.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*u - 4*o, 184 = 2*u - o + 190 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 7.4. Let d = -0.3 - j. Is 0 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 33*k**6\/40 + 37*k**3\/6 + 24*k**2. Let f(m) = -50*m**3 - 18. Let a(q) = 5*f(q) + 3*s(q). Differentiate a(u) wrt u.\nAnswer: 141*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.006, -0.4, 32, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(88\/(-40))*(-15476)\/1460?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 791 divide 414457897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*o + 18 = 0, -3*s + 7 = 2*o - 10. Let a = -12 + 17. Suppose a*w = -10, 0*i + 2*i = 5*w + 40. Solve -2*d = -h + 1, -d + 2 = s*h - i for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w*w*w*w**14\/w)\/w)\/(w*w**(-1)))**(-2\/7)\/(w\/(w\/(w\/(w\/((w*w**(-4)\/w)\/w*w))))*w**(-15))**(2\/31) assuming w is positive.\nAnswer: w**(-726\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*z + 44 - 13 - 31.\nAnswer: 158*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 902283456?\nAnswer: 2, 3, 4699393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 54. Suppose o*d - 5*t = 84 - 24, -3*d + 34 = -4*t. Calculate the remainder when 83 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340033.\nAnswer: 337, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 40208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-4 - (-116)\/24)*(-156)\/40?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32115468 divided by 16057734.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q - 102 = 122 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*z + 3467, 29*w - 34*w + 872 = z. Is z a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11045 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -164*d**2*l*o + 162*d**2*o**3 + 7*d*l*o**3 - l*o**3 - 43*o wrt o.\nAnswer: 972*d**2*o + 42*d*l*o - 6*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(891))**2 - (sqrt(11) - -1*1*sqrt(11)).\nAnswer: -2*sqrt(11) + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 478578958*f*o + 1209622491*o with respect to f.\nAnswer: 478578958*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 7 + 6*v + 4*v - 6*v to the form f*v + a and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-8)\/(-30))\/(6\/5). Let a be 34\/(-255)*23 - -3. What is the biggest value in -4, -3, p, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1218, -2432, -3646, -4860, -6074, -7288?\n\"Answer: -1214*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 41. Suppose 0*v - 9306 = -47*v. Calculate the highest common divisor of v and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002875895 to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2698 - -7988. What are the prime factors of m?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1043 = -g - 350. Suppose -4*r + g + 771 = 0. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = j - 615, -2*g - 2*g = -3*j + 1769. Calculate the greatest common factor of 102 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -16. Suppose -3*w + 72 = -138. Calculate the remainder when w is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q. Suppose -25 - 15 = -4*h. Suppose -l + h = -q*l. What is the highest common factor of l and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 18 = 5*j. Solve 2*w = j*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -17 + (-4 - -47) + -6 + 5\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 4*x = -8, -6*x + 8*x + 14 = -5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 7 - (132 - 129)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1173724*i + 3212919 wrt i?\nAnswer: -1173724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/22013346 and 23\/1914204?\nAnswer: 44026692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1497*i**2*r**3 + 1392*r**3 with respect to i.\nAnswer: 2994*i*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 17*h**2 - 16*h - 6. Suppose 4*q + 20 = -s, -3*s + 43*q = 42*q + 47. Give m(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.97 - 1. Let q = -3.03 - p. Suppose 3*x + 12 = 3, -4*m + 3*x = -25. Which is the third biggest value? (a) q (b) -3\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 2 - 7*j**3 + 1751*j**2 - 1751*j**2 to p*j**3 + t + x*j + q*j**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 - -0.4. Let n = 15.5 - 16. Suppose 0 = -3*h + 1 + 5. Sort n, h, k.\nAnswer: k, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -91*m**2 + 2500*m - 7599. What is z(24)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*p + 4*p - 8*p + 3)*(3990*p - 110*p + 887*p) as n*p**2 + c*p + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.55 - -2.75. Let m = h + -3.5. Let z = m - 0.8. Which is the second biggest value? (a) -0.2 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + k**4 + 3*k + (-11 - 10 - 11)*(3*k**4 - 4*k**2 + 4*k**2).\nAnswer: -95*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-4 + sqrt(1700)))**2 + -2 + (((sqrt(68)*-3 + sqrt(68) - sqrt(68)) + sqrt(68))\/sqrt(4) - (sqrt(119)\/(sqrt(14)\/sqrt(2)))**2))*-4.\nAnswer: -61700 + 2888*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 3, a: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a. Let q(z) = 11*z**2 - 4*z - 1. What is q(s) - 6*t(s)?\nAnswer: 11*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25093?\nAnswer: 23, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + w**2 - w + 6. Let m(i) = -2*i - 14*i**2 + 9*i + 13*i**2. Let t be m(7). What is u(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 119*z - 3*z**2 + 97*z + 469 + 12*z + 0*z + 242.\nAnswer: -3*(z - 79)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16.6 + -14. Let x = d - 56.6. Let b = x - -53.9999929. Round b to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 86 - 23*w + 51.\nAnswer: -23*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b801 - -12?\nAnswer: -b7bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1851*g**2 + 915*g**2 - 23*g**3 + 911*g**2)*(4 - 4 - 7*g) as v*g**3 + r*g + c*g**2 + j*g**4 + a and give v.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2*-2*32\/1472\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from bbgkkkgbkieejb?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 2\/5, -11 in descending order.\nAnswer: 2\/5, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -35022 take away -0.5?\nAnswer: -35021.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 take away -191606796725?\nAnswer: 191606796676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 8242073 to the nearest 1000.\nAnswer: 8242000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37*p*v**3 - 2*v**3 - 90 wrt p?\nAnswer: 37*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-12))\/t*t\/t**(1\/5) assuming t is positive.\nAnswer: t**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**3 - 3800*w**2 + 7603*w - 3802 = 0.\nAnswer: -3802, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 872 divided by -52641\nAnswer: -872\/52641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77640 divided by 4.\nAnswer: -19410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.1 (c) 257\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1662 - 534 = 24*o. What is the greatest common divisor of o and 2209?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/20)\/((-81)\/(-24))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - a + 5*s - 20 = 0, -a + 2*s - 2 = 0. Let r = -742 - -397. List the prime factors of (r\/6)\/(a\/(-4)).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5804 - 4312*m**2 - 5804.\nAnswer: -4312*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyghccccrgrgcccgrccc. Give prob of sequence crg.\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9072323?\nAnswer: 13, 487, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -3*a - 31. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 647*j**3*m*r**3 - j**3*m*r - 3*j**3*m + 4*j**3*r + 10*j**2*r**2 + 2*j*m*r**4 wrt r?\nAnswer: 3882*j**3*m + 48*j*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 50*b**2 + 445*b + 19409. Give c(-49).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 38868000 to the nearest 100000.\nAnswer: 38900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -3*h**2 + 0*h**5 + 0*h**6 + 2\/105*h**7 + h**3 + 0 + 0*h + 0*h**4. What is the first derivative of v(s) wrt s?\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13\/12 (b) 4 (c) 2\/3 (d) 1 (e) -1\/5 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26*119.\nAnswer: 30.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7025 = -3*x + 2*w + 2215, -w = 0. Round x to the nearest one hundred.\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -276 and 4.\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21146666 to the power of 1\/3, to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**3 - 2*d**2 - d. Let b be y(-1). Let q be (-3)\/b*(-6 - 2). Let u(w) = -13*w**3 - 2*w**2 - 8*w - 3. Is u(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -82*o - 125. Let w(s) = 80*s + 125. Let f(g) = 3*h(g) + 2*w(g). Differentiate f(z) with respect to z.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -381*p**2 - 16*p - 4*p**3 + 389*p**2 + 9*p**3 wrt p.\nAnswer: 30*p + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40043, -40042, -40041, -40040, -40039?\nAnswer: -40038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 9:07 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6393 or -6398?\nAnswer: -6398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + 10126*x + 60715. What is v(-6)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -185*q**2*u**3 - q**2*u + 544*u**3 wrt q.\nAnswer: -370*q*u**3 - 2*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130 and 450.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-10))\/((-9)\/60). Suppose -g*t + 5*t = 0. Suppose t = 2*w - 65 + 15. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r + 2. Let t be q(-2). Put -0.1, t, 1\/4, -0.4 in increasing order.\nAnswer: t, -0.4, -0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 945*p + 154. What are the prime factors of u(3)?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 6:59 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152612528 is divided by 151.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4610185 and -0.2?\nAnswer: 0.2922037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-4)\/((-616)\/(-7)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (98\/(-1127))\/((-18)\/27).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14166994*n**2 - 7318462.\nAnswer: 28333988*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2.54 (b) 3\/4 (c) 144\/7 (d) 4\/5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 7:09 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 16 - 12 - -5*7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**2\/19 - 108*m\/19 + 106\/19 = 0.\nAnswer: 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - 44. Solve 1 - 5 = -f*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxzd when four letters picked without replacement from {z: 5, x: 2, d: 2}?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 21*t**2 - 95*t - 43. Let f be b(14). What is the second biggest value in 20\/31, f, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -44*c**4\/5 + 1064*c**3\/5 + 128684*c**2\/5 - 3845096*c\/5 + 694848\/5 = 0. Calculate c.\nAnswer: -56, 2\/11, 33, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/9632 and 89\/5418.\nAnswer: 86688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s - 5*s + 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((4\/6)\/((-36)\/((-3672)\/85)))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrzuruzmzrr. Give prob of picking 2 z and 2 r.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from {x: 4, j: 15}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-1))\/(1\/(-4)). Let d = 14 - n. What is the remainder when 27 is divided by 5\/((-5)\/4) + d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*6\/693*3*-1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -187518, -187533, -187548?\nAnswer: -187563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.26 - -17.74. Let q = -2.18958 + -0.81042. Sort 0.4, q, u, 0.1.\nAnswer: q, 0.1, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -10\/27, -2\/5, -3\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465571963.\nAnswer: 465571963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 - l + 1. Let h(b) = 66*b**2 - 5589*b + 2583573. Let f(z) = -h(z) + 21*n(z). Factor f(w).\nAnswer: -3*(w - 928)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00011552 rounded to 6 decimal places?\nAnswer: 0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-42))\/((-64)\/(-1632)*17). What is the closest to 0.2 in -2\/3, -136, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28.9035*2.\nAnswer: 57.807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d - 3*d + 3*d. Let i(r) be the first derivative of 1\/3*r**3 + 6 + 0*r + 0*r**2. Determine i(b(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -219a8 (base 12) to base 16.\nAnswer: -ae50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.2, -20, -15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935036 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(500) + 2 + 3 - (sqrt(720)*3 + sqrt(5) + sqrt(30)\/sqrt(6) + 3))**2.\nAnswer: -280*sqrt(5) + 3945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 835 a factor of 4108175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*s - 12*s + 10*s + (3 + 2 - 3)*(-4*s + s + s) - 69*s + 22*s - 102*s + 30*s + 0*s - 2*s + 3*s in the form d*s + x and give d.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-8))\/((-34)\/(-136))*6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(273) - (1*sqrt(273) - sqrt(273)))\/sqrt(7))\/sqrt(3))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94243?\nAnswer: 73, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1822 - -4563. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4422527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 14. Let o(v) = 11*v. Let b(g) = -23*g + 1. Let k(y) = 4*b(y) + 9*o(y). Let m(l) = -15*l - 9. Let h(c) = -13*k(c) - 6*m(c). Give h(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 40*y**2 + 9*y + 342. Let k be p(-40). Is k not equal to -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdkkg. Give prob of picking 1 k and 1 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10185531 - -10185609.09523. Let u = h - 78.1. Round u to 4 decimal places.\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/19, -3\/5, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -5, -5*c - 3*w - w + 35 = 0. Solve -j - 3*h + 7 = -h, -14 = -5*j - c*h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-34))\/((-15)\/20). Let m = -0.06 - -0.36. What is the nearest to 0.1 in k, m, 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - x)*(117 - 324 + 104 + 469*x + 106).\nAnswer: -469*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 524.\nAnswer: -523.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 10 - 1. Let u = 26 + -16. Suppose b*m - 43 = -u. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - -96. What is the highest common divisor of b and 1785?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4547 + 4580. What is the nearest to s in 25, 1\/2, -1\/4, 1?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (10 - -14 - 12) + (0 - 5) - 1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -479*x**4\/4 + 3*x**3 + 51*x**2. Let q be l(2). Round q to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95138758 and 229112?\nAnswer: 380555032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -18*y - 2. Let h be m(-2). Suppose 0 = 3*j - 0*j + 5*u + h, u = 2*j + 40. Find the common denominator of 55\/2 and 47\/(-4) - 12\/j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 357274, 714771, 1072268?\nAnswer: 1429765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 6*c**2 - 4*c - 2. Let h be 2\/(2\/11) + -2. Let l(v) = -13*v**2 + 9*v + 4. Calculate h*f(g) + 4*l(g).\nAnswer: 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -10 - (107 - 117)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z**2 - 2*z. Suppose -5*v = -5*i - 15, -3*i = 4*v - 3 + 5. Let j be (2 + 0)\/((-2)\/i). Let d(k) = k**j + 3*k - 3*k. Determine -3*d(l) + n(l).\nAnswer: l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 1, 0.4, 1\/14 in ascending order.\nAnswer: 0.02, 1\/14, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/16 and -37\/200?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -11010100010100000?\nAnswer: -11010100010100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 divided by -67?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/152 and -55\/32.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19742569?\nAnswer: 7, 11, 113, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14\/4 + 5*7\/70 and 37.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5102107?\nAnswer: 5102107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27.2 - -26.2. Is 19\/7 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/80*(63957 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -203?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5 - 8268945*a**4.\nAnswer: a**4*(a - 8268945)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268406?\nAnswer: 2, 43, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m**2 + 2*m - 2. Let l(x) = 154*x**2 - 35*x + 35. Let h(k) = 31 + 41 - 26 - 2*k. Let c be h(22). Determine c*l(t) + 35*z(t).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 120 = 3*h. Is 3 + -4 + 0 + h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, -1, 0.034682?\nAnswer: 0.034682","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r + 6*r + 3*r + 7 + r**2. Let v = -740502 + 740492. Determine g(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3000816 and 44464.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 208 and 3*206\/8 + 3\/4.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3)\/2*(-5)\/(-30)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*u + 19. What is the remainder when 4 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 1. Let k(w) = 20 + 3*w - 2*w + 48 - 57. Give -2*g(z) + k(z).\nAnswer: -z + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3190 and 870.\nAnswer: 9570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l**2 - 2313*l + 124201. Give t(263).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11105, 44377, 99835, 177479, 277309, 399325?\n\"Answer: 11093*n**2 - 7*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 o, and 1 u when three letters picked without replacement from odlodluuodddodlodddu.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**3 - 6*k**2 + 4. Let f = -10 + 9. Let u(b) = -b**3 + b**2 - 1. What is f*g(c) - 4*u(c)?\nAnswer: c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**3 + 116*w**2 + 76*w - 8. What is o(-38)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2\/2115, -0.1, 4, 2\/19?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.428073 months to decades.\nAnswer: 0.003567275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -56\/137 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-12 - (-19 - 9) - 5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(68) - (sqrt(68) + (sqrt(68) - (4 + sqrt(68) - sqrt(68))))) + sqrt(68))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, p: 4, r: 4, l: 1, q: 3}. Give prob of picking 1 q, 2 p, and 1 r.\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 10*c**2 + 489*c - 91. Give a(-18).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 0 + 0*j**5 - 26\/3*j**3 - 49\/24*j**6 + 0*j**4 - 18*j + 4*j**2. Differentiate h(c) with respect to c.\nAnswer: -735*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 29*m**2 + 7*m + 16 + 8*m**2 - 36*m**2 + 5*m**3. What is the units digit of k(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.041, -2, 15494, -3\/5?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + 1 + -17 - (-8 + 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -5, 127.\nAnswer: -5, -2, 3, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28094971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 97818 and 866388?\nAnswer: 6064716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367840726.\nAnswer: 2, 11, 1520003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1767 - 692 + 1396)*(-2*x + 5*x - 4*x) in the form t + b*x and give b.\nAnswer: -2471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1057, -1990, -2923, -3856, -4789?\n\"Answer: -933*p - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.87 + 10.1. Let u = -3 - -32. Let q = u - x. Is q equal to -4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048720383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 331. Suppose 0 = -4*r + 145 + j. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqa when three letters picked without replacement from {q: 3, g: 4, a: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -499, -512, -527, -544, -563, -584, -607?\nAnswer: -632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000403345289 to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (203\/(-87))\/((-4)\/(-3))*6\/(-28).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t - 62*t - 13*t - 19*t + 115*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-70)\/54320*(19 - 3). Let d = -0.02 + 4.02. Which is the third smallest value? (a) d (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 - 1.3. Which is greater: 0.7 or y?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i. Let z = -113 - -168. Let r(y) = 7*y**2 + 46*y + z*y - 101*y. Calculate r(g(l)).\nAnswer: 252*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 31431, 31428, 31425, 31422, 31419, 31416?\n\"Answer: -3*o + 31434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100 - -2110?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 5\/6*n**3 - 7\/24*n**4 + 0*n - 1\/120*n**6 - 9 + 2*n**2 + 1\/10*n**5. Determine w(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 11:17 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + -426108?\nAnswer: -42610f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3692 in 7, 84\/13, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1455, -4, 0.6, -9\/5, 5 in increasing order.\nAnswer: -4, -9\/5, 0.6, 5, 1455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 26*c + 177. What is l(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 20d1?\nAnswer: -20ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**2 + 3 - 36*q**4 - 1 + 35*q**4 - q**3 in the form x*q**3 + s*q**2 + n*q**4 + w + y*q and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0112 - -193.9888. Let o = 194.4 - b. Sort 21, o, -1 in decreasing order.\nAnswer: 21, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109382\/113 + -968. Is x greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 0.4, -3, 8\/59?\nAnswer: 8\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2\/7, 23, 0.36, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c + 17*c + 2 - 13*c)*(10*c**2 + 39*c**2 + 4*c**2).\nAnswer: -424*c**3 + 106*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 734, 2238, 3758, 5300, 6870, 8474, 10118, 11808?\nAnswer: 13550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -3a3a?\nAnswer: 3a43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 38\/14 - (2 - 16\/7). Let h(s) = -s**3 - 2*s**2 - 4*s + 3. Let m(v) = v**2 + 3*v - 2. Let r be 6\/(-15) + (-24)\/(-10). Determine j*m(d) + r*h(d).\nAnswer: -2*d**3 - d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/t**(-7)*t)\/t)\/t**(2\/5))**(-4\/31)*(t**1)**(-36)\/(t**(2\/7)*t*t*t*t*t**(2\/17)) assuming t is positive.\nAnswer: t**(-765708\/18445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1423 - 1424. Let i = 30 + -33. What is the nearest to d in -2, 42, i?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79635657 rounded to the nearest one hundred thousand?\nAnswer: 79600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -17. Suppose -4*u + 5*m = 4, -u = 5*m + 12 + 14. Let a be u\/(-1)*(-2)\/(-3). Solve 0 = -a*t + 2 - d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-18) + (-7 - 1446\/(-54)). Is (170416\/12)\/(j\/15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k - 3 + 3)*(3 + 7 + 6) + k - 2*k + 0*k in the form u*k + m and give u.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9985298*y**3 - 6069645*y**2 wrt y.\nAnswer: -59911788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-77)\/14 + 7\/((-42)\/(-9))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*j - 8*j**2 + 27*j**2 + 0*j**2 - 8*j**2 to the form v*j + z + f*j**2 and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1722864596 to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b + 91 = 15*b - 13*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 7*d**2 + 5*d - 20. Let o(a) = -8*a**2 - 6*a + 24. Let j(t) = 5*o(t) + 6*r(t). Let l(v) = v**2 - 58. Determine j(l(w)).\nAnswer: 2*w**4 - 232*w**2 + 6728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from nvvvvvncuvcccdvncd.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + -1 + sqrt(17) + (sqrt(17) - (0 + sqrt(17) + 2)) + 3 + 1) + 4.\nAnswer: -5 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f - 44. Determine y(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -111001 (base 3) to base 13\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -31*f**2 + 742*f + 76. Let x be y(24). Solve 9*g + 44 = -x for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -60bd0 - -4cc?\nAnswer: -60703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2594*n - 2777 - 2411 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (3 + -8)) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/8 + 56633*f - 7474467\/2.\nAnswer: -(f - 452998)*(f - 66)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 31. Let j = s + 15. What is the third biggest value in -1\/4, j, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**6\/10 - y**5\/60 - 3*y**3 - 2*y**2 + 33. What is the first derivative of h(l) wrt l?\nAnswer: 36*l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 420?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t. Let g(u) = u**2 - 2*u + 2850. Calculate g(b(k)).\nAnswer: k**2 + 2*k + 2850","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3346 divide 38385312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*x = 10, -4*m - 3*x - 6 = -2*m. Suppose 3*v + 0*v = m. Suppose v + 1\/3*o + 1\/3*o**4 - 1\/3*o**2 - 1\/3*o**3 = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - (6 + 4 - 15)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/260337 and -125\/371082?\nAnswer: 1400092386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -23376424?\nAnswer: 23376427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a microgram in nanograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3615*s + 1433. Let o(w) = -3595*w + 1432. Let j(u) = -5*o(u) + 6*r(u). What is the derivative of j(f) wrt f?\nAnswer: -3715","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -365690000 to the nearest 1000000.\nAnswer: -366000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.364819 to one dp.\nAnswer: 29.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -852 - -2234. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8323*h + 8288*h + 3640 = 0. Solve 96 - h = 8*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3\/5 + 6904*j**2\/5 + 6884*j.\nAnswer: 4*j*(j + 5)*(j + 1721)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-591)\/(-30))\/(4\/10). Let r = h - 49. Factor -n**3 - 3\/4*n**2 + 0 + r*n.\nAnswer: -n*(n + 1)*(4*n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-6) + 90942\/207. Let i = -425 + u. Suppose -142 = -4*l + 2*q, -3*l - 4*q + 110 = -2*q. What is the remainder when l is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -194 equal to -194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52693, -52678, -52637, -52558, -52429, -52238, -51973?\nAnswer: -51622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 18474cc?\nAnswer: 1847504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*u = -5*u. Suppose -13*c + 62 + 29 = u. Solve 37 - c = -6*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of 15*b**2 - 25*b + 5. List the prime factors of t(6).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 68665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**4 - 6*y**4 + 4*y**4)*(-3 + 2 - 1) + 2*y - 9*y**2 + y**4 + 9*y**2 + 2*y**4 + 17*y**4 - 2*y**4.\nAnswer: 22*y**4 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 3. Let v = m - -11. Suppose v*o = 5*o. Is 0 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 7*x**2 - x - 1. Calculate b(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46 + 65 + 32 + 47*l - 217 with respect to l.\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-51)\/(-1))*249690\/(-231855).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/((-1)\/3))\/1. Let c(f) = -f**2 - 5*f - 4. Let p be c(s). Which is bigger: 6\/7 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*8\/(24\/(-3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45186, 45426, 46074, 47334, 49410, 52506?\nAnswer: 56826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -25.8 and -8.8.\nAnswer: -34.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 132182 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-8)*(-420)\/63?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 10*z - 20*z + z**2 + 10*z. Let q(g) = -3*g. Determine a(q(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71391 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 7. Let r = 12 - 7. Let q be d(r). Find the third derivative of 10*h**3 - 5*h**q + 4*h**2 - 7*h**3 wrt h.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 182 and 168308.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2364088?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -13792\/235 less than or equal to -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4*i + 3. Let l(w) = -13*w - 2. Let q(p) = 72*p + 11. Let n(z) = 11*l(z) + 2*q(z). Calculate b(u) + 6*n(u).\nAnswer: 2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21021 - 10?\nAnswer: -21031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 2 + 13 - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -232141?\nAnswer: 232137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001000110100000100 (base 2) to base 8.\nAnswer: -2106404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 5*m = 6*a + 24, 0 = -a + 4*m + 21 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xvbx when four letters picked without replacement from {x: 3, t: 1, b: 3, v: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.042 and -0.1757992?\nAnswer: 0.0073835664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/46 in 1\/7, 52, 4?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-4))\/(z\/(z**(5\/3)*z)))**(3\/4) assuming z is positive.\nAnswer: 1\/z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3 + 2*j)*(1 + j**2 - 1)*(-331 - 217 - 509).\nAnswer: -2114*j**3 + 1057*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -34791?\nAnswer: -34794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 2*d**2 + 2*d**2 + 0*d**2 - d**2 - 1742*d.\nAnswer: 4*d**2 - 1742*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from {j: 5, y: 1, w: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*(1\/(-8))\/(6\/(-24))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -117*y - 41. Does 53 divide t(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**3\/3 - 5*u**2\/2 + 7*u - 4. Determine n(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((-1)\/(-3) - 0). Let a = 43 + 1. Suppose -a = -v*i + i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -527 (base 13) to base 15\nAnswer: -3d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 307214 - 217840. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 67187 - 22303. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9}. Give prob of picking 2 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3600*w**3 + 4751*w**3 + 3327*w**3.\nAnswer: 11678*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3294\/(-732) + -3*2\/2.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4\/7 (b) -0.3 (c) -1\/92 (d) 92 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87398532 and 469044?\nAnswer: 262195596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/5)*f*f)**(-9\/4) assuming f is positive.\nAnswer: f**(-81\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 13. Let l be i(3). Let v be (-2)\/l + 156\/30. Solve v*y + 4*w - 16 = 9, 3*w = -3*y + 18 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - u - 2*b - 12, 0 = 2*u - b + 18. Let d = u + 10. Solve 6*c = d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 391 + -403 - (-29 + -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)\/((o**3*o)\/o))\/((o*o**(-2\/5))\/(o\/(o**0*o)))*((o\/(((o\/o**(1\/3))\/o*o)\/o))**(1\/50))**(-42) assuming o is positive.\nAnswer: o**(-268\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24.8 - -15. Let b = t + 7.8. What is the closest to b in 4, -1, 1\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-10) - 17\/(-15). Is v less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1699\/436 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 236839.6 millilitres in litres?\nAnswer: 236.8396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - m**2 + 0*m**2)*(-4 + 4 - 2*m**2) + 100*m**4 + 1860*m**4 + 345*m**4.\nAnswer: 2301*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1914 - -1913. Let x(u) = -u**2 - u + 1. Let r(l) = 7*l**2 - 4. Calculate b*r(z) - 3*x(z).\nAnswer: -4*z**2 + 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36891707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*x + 422 = 11*x - 33. What is the biggest value in 2.3, -5, 0.5, x?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1406, -9 in descending order.\nAnswer: 1\/2, -9, -1406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -5\/3, -4\/3, 3\/7, 0.125, 0.1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 12 = 4*f, 6*f - f = 2*j - 15. Let x = -8 + 13. Sort x, j, -1 in descending order.\nAnswer: x, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4340 - -30431\/7. Suppose -7*p + 2*o + 758 = -3*p, 4*p + 4*o - 740 = 0. What is the common denominator of r and 2\/(p\/(-114) + 2)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, e: 1, h: 2, z: 1, g: 2}. Give prob of sequence zge.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 1)*(-4)\/6. Is -1 + (-69)\/6*d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, 6, 1, -14.1, 1\/11, -0.21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*z**2 + 19747*z**3 - 24784*z**3 - 27*z**2.\nAnswer: -5037*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 69, 5, 4, 3, 2.\nAnswer: 2, 3, 4, 5, 61, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j - 42. Determine h(22).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 399 (b) 13\/9 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2253 + 2252 + 647*r + 2262 - 6767 to the form a*r + j and give a.\nAnswer: 647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**3 - 38468*y**2 + 230952*y = 0. Calculate y.\nAnswer: -9623, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -16 + 76. Let q = 166 + -162. Let j be (-6)\/(-8) + 17\/q. Solve -5*v - 15 = 7*h - 2*h, -4*h - j*v = o for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6597769261 to the nearest integer?\nAnswer: 81227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10448 - 5529. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s**3 + 43*s**3 + s - s.\nAnswer: 59*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/165, -3, 2\/11 in descending order.\nAnswer: 2\/11, -2\/165, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from gvv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 467b + 1884?\nAnswer: 6010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52803 is divided by 503.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 10*s - 5. Let o be n(-9). Suppose -3*g = -5*j - 11, 2*g + o*j = g - 2. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 25*k. Let m(p) = 17*p**2 - 2. Determine m(i(g)).\nAnswer: 10625*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**3*y**2 - 7*l**3 + l*y**2 + 163*y**2 wrt l?\nAnswer: -6*l**2*y**2 - 21*l**2 + y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 9) to base 12.\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**4 - 6*p**4 + 406*p**2 - 407*p**2 - 1 + 11*p to w + a*p**4 + v*p**3 + h*p**2 + y*p and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -105.5 + 106. Put 2\/9, y, 0.17, -5 in increasing order.\nAnswer: -5, 0.17, 2\/9, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 8*n**2 - n - 2. What is g(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**4\/7 + 144*n**3 + 123426*n**2\/7 - 36264*n - 376263\/7 = 0. What is n?\nAnswer: -97, -1, 3, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 16 - 96. Suppose -w + 4*h = -2, 0*h - 3*h = 0. Let l(y) = y**3 + 6*y**2 - 53*y - 316. Let j be l(-6). Solve -j*z = w*z + b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 82 = -k + 7*d, 0 = 3*k + 2*d - 250. Put 0, -5, -4, k in increasing order.\nAnswer: -5, -4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 361976113?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -176\/3, 2\/15, 6, -4 in decreasing order.\nAnswer: 6, 2\/15, -3\/7, -4, -176\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 23. Let q be o(-12). Let v(s) = -2*s - 4*s + q - 11. Let t(k) = -k**2. What is v(t(c))?\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**3\/13 - 198962*r**2\/13 - 596904*r\/13 = 0.\nAnswer: -3, 0, 99484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 21\/2*h**2 + 5 + 0*h**3 + 0*h - 3*h**4. What is the second derivative of o(q) wrt q?\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 769*c**2 + 23970*c - 4. Determine f(-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (16\/(-6))\/(8\/32 - 890\/3552)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 - 4 - ((-901836)\/(-4080))\/(-41) and 71\/34.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*(49\/14 - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3 + 11 = 0. Suppose b*h - 6 = -0*h. Solve 2*d - 3 = h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-45) + (-3)\/(1296\/(-66)) + 7140\/(-96)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a**2 + a**4 - 4*a**2 + 2*a**4 + 2*a**2 - 2*a**2 + (0*a + 2*a - 3*a)*(-2*a**3 + 0*a + 0*a) - 13*a**4 + 9*a**4 - 4*a**4 + 4*a**4 - a**4 - 2*a**4.\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**7\/18900 - h**5\/900 - 13*h**4\/12 + 9*h. Let p(d) be the third derivative of o(d). Factor p(l).\nAnswer: 2*(l - 1)*(l + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 + -23. Suppose -31 + 8 = -4*s + a*f, 26 = 4*s - 2*f. Suppose -s*p + p = -105. What is the remainder when 43 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (209 - 193) + 0 + -10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1988776 to the nearest integer?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3 - a)*(-4 + 3 - 5).\nAnswer: 6*a - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 199986598 + -199981502.51057. Let s = x + -5096.1. Let z = s - -0.61. Round z to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86189, 85660, 85105, 84512, 83869?\nAnswer: 83164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 4*i**2 - 2*i + 1. Let t be k(2). Suppose -2*p + t*p = 12. Suppose 0 = j - 1 - p. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 - 10) + -2 + 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -7. Let o(t) be the third derivative of 0 + 1\/12*t**4 + 3*t**2 - 1\/6*t**3 + 0*t - 1\/60*t**5. What is o(p)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*q + 40*q - 126 = -34*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21638, -1, 4, 145, -2 in descending order.\nAnswer: 21638, 145, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 35.765 - 36.5. What is h rounded to 2 decimal places?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2275.14 plus 182?\nAnswer: -2093.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 205779967 a multiple of 2990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2866789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1753.126 rounded to the nearest one hundred?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4073600 divided by 1675.\nAnswer: 2432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 9*k = -45. Let a be (-1)\/(-1) - (k + -11). Suppose -10 = -0*c - 2*c. Solve -a*b - 9 = n + 11, -2*n - 35 = c*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 48323317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*h**3 + 56*h**3 - 115*h**3.\nAnswer: 22*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 216641, 216625, 216613, 216605?\n\"Answer: 2*l**2 - 22*l + 216661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + sqrt(1008) - sqrt(1008)) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 347073 to the power of 1\/2, to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 10\/(-2)) + 0 + 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 35\/5 - (-23)\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvzvvyfffvvfzvvffzzf. What is prob of picking 1 v and 1 z?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 - 2. Let i(z) = -z**2 - 1. Suppose 6 = 5*l - 4. Let d = 1 - l. Let f(w) = d*i(w) + c(w). Give f(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -36. Let f(d) = -d**3 + 2*d**2 + 4*d. Let w be f(y). Factor 2\/3*t**w - 2\/3*t + 0*t**2 + 0.\nAnswer: 2*t*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3391 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 8*u. Solve u = w + 2*t + 5, -4*t - 7 = w + 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4322933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o - 5*o + 2*o)*(1197481*o - 2395020*o + 131 + 1197346*o) to c*o**2 + y*o + r and give c.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (22 + 2)*3\/((-18)\/(-4)). Let y = x + -16. Solve y = 3*v - 0*v + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.269916723 rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.997 + -0.193. Let c = y + -0.05. What is c rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(1 - 18\/(-4)). Let l = u + 0. Solve v - 4*q = 14, 4*v = -0*v + q + l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*a + 3*n, 75*a = 76*a + 2*n - 15 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d. Let s be u(1). Suppose -5*c + c + t = -5, -s*c - t = -13. Let g be c + ((-15)\/(-3) - 2). Solve 5*y + 10 + 20 = -5*v, -6 = 4*v - g*y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 284422294.\nAnswer: 2, 13, 10939319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*m*o*z - 24*g*m*o + 11*g*m*z + 2*g*m - 2*g*o - 5*g - m*z - 26*m + 525*o wrt o.\nAnswer: -g*m*z - 24*g*m - 2*g + 525","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and (-124246)\/(-1036) + 1\/14?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 3 + -5 + (sqrt(28) - sqrt(28)*2) + ((sqrt(28) - (-1 + sqrt(252))) + sqrt(28) - sqrt(28)))*6)**2.\nAnswer: 864*sqrt(7) + 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) + -1 + 3))**2 - ((sqrt(68) - (sqrt(68) + 1)) + 2)) + 5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -645 divided by -29.\nAnswer: 645\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 117 (b) 8 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 17852 divided by 4\nAnswer: 4463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5112510 + -21?\nAnswer: -5112531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ec37b (base 16) in base 13?\nAnswer: 557895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1119046 + -40290677\/36. Let w = c + 525\/4. Let f = -835\/26 - -86\/13. What is the common denominator of w and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -849281180 and -849281179 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.8, 9?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178301258?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 236 - 235. What is the second biggest value in y, 6, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 y when two letters picked without replacement from agtygcx.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -21*s**3 + 3926*s**2 + 188*s - 447. Determine i(187).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -56 + -4?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from {w: 1, o: 5, f: 10, x: 1}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 96 + -184. Let v be s\/(-20) + 3\/5. Suppose 3*l + 0*c - 2*c = 48, -v*l + 80 = -5*c. Calculate the highest common divisor of 40 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a\/((a**(-45)*a)\/a)))\/a*a*a**(8\/9))**(30\/11) assuming a is positive.\nAnswer: a**(-4150\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*m**4 - 55*m**4 + 57*m**4)*(0*m + 2*m - m + 3*m - 14*m - 12*m + 2*m - 1 + 1 + (-2 + 1 - 1)*(-2*m + 4*m - 3*m)).\nAnswer: 918*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 103 in -1.3, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*2 + (-3 - -5). Suppose h - 2*h = -d. Suppose c = h*w - 9*w + 36, 0 = -2*w + 2*c + 12. Is w less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1949 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*k**3 + 0*k**3 + 3*k + 7*k wrt k.\nAnswer: 78*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1. Let y(c) = c + 17. Let t(q) = -3*i(q) + y(q). Let z be t(-10). Find the second derivative of 0*h**4 + 0*h + h**z - 2*h wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 30 (b) -1\/2 (c) 607\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5522933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 189 - 14*m - 189 + (-6 + 2 + 1)*(-4 + 4 - 2*m) to l*m + i and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4*x - 17, 5*x - 1 - 21 = -4*k. Suppose 2*c - 32 - 56 = 4*p, -44 = -c + k*p. Is c greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -1168*t**3\/5 - 701*t**2 + 21021*t\/5 + 18\/5 = 0.\nAnswer: -6, -1\/1168, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*r - 26*r + 11*r + 2 + 20*r to the form p*r + f and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/5, 3, 70549?\nAnswer: 70549","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -35. Let r(v) = j - 12 + v. Let l(k) = -k. Determine r(l(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, -0.2, 5, 2.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 273 + 21 = 0. Calculate 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 g = 2.7 - 3. Let n = 0.05 - -3.95. Let c = 5 - n. What is the biggest value in -0.1, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -341 + 2*w**2 + 344 + 4*w - 8*w**2. Let d(v) = 31*v**2 - 21*v - 16. Let q(b) = -2*d(b) - 11*k(b). Let r = -4 + 3. What is q(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 2*n + 16. Let u be v(5). Suppose -3*j + 2 = -u, -j + 87 = 2*r. Suppose r*d - 19 = 42*d. List the prime factors of d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 c when three letters picked without replacement from rrroicirocrr.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/7 - -13\/21. Which is the closest to v? (a) 0.1 (b) -0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -380 bigger than -380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7088 and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 - -3. Let y be 3\/(-1 - z\/6). Suppose 4*a = 2*a + y. Calculate the remainder when a is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 21 = -5*i, -4*i = -0*f + 3*f - 18. Suppose 1 - 49 = -f*q. Let t = q + -2. Calculate the lowest common multiple of t and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63011290 rounded to the nearest one million?\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 944 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9980634?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a**3 + 6*a**2 - 11*a - 8. Let l be 23\/(-184)*0 + 1 + -12. Let n(y) = y**3 + 2*y**2 - 4*y - 3. Determine l*n(j) + 4*b(j).\nAnswer: j**3 + 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 0*b**2 + 5\/12*b**4 - 7\/3*b**3 + 7*b + 0 - 1\/72*b**6 + 1\/24*b**5. Let n(p) be the second derivative of z(p). Factor n(m).\nAnswer: -5*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -2*l - 10, -1617*h + 2*l + 2 = -1615*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 80607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 11518*l + 2142337. Determine g(-186).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 136 = 3*z - 3*l, 5*z + 2*l = 719. Suppose 4*h + z - 1189 = 0. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -0.2, 2\/7, -7740 in increasing order.\nAnswer: -7740, -0.2, 2\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 571184238 to the power of 1\/2, to the nearest integer?\nAnswer: 23899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, -0.4, -115, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 0*z - 1\/60*z**5 + 0 + 0*z**3 - 9*z**2 + 0*z**4. Let k(s) = -2*s. Give q(k(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(448) + 0 + sqrt(448) - sqrt(448)) + -4)**2 + (-1 + sqrt(448) + 5)**2 + -4.\nAnswer: -80*sqrt(7) + 989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(44)\/sqrt(2) + sqrt(22))\/sqrt(2) - (-4 + -1*sqrt(891))**2.\nAnswer: -906 - 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = v + 4*w, 207*v + 11 = 206*v + 4*w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 8*n + 3. Calculate the remainder when 15\/(-6)*(-8 - 2) is divided by g(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7, -44, -127, -280, -527, -892, -1399, -2072?\n\"Answer: -4*m**3 + m**2 - 12*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039707049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 235*r**2*v**3 - 4*r**2*v**2 + 18956*r*v**2 - 4*r + 186*v**3 wrt v?\nAnswer: 1410*r**2 + 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(1\/10))\/x)\/(x*((x*x*x**2*x*x)\/x)\/x*x)*(x\/(x*x*x**(-2)))**(-2\/11))\/(x*(x**(-6\/5)\/x)\/x*x\/(x\/(x*x*x**(-1\/11)*x)))**(-21) assuming x is positive.\nAnswer: x**(947\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27699)\/11871*696\/14.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2649968 and 888.\nAnswer: 2650856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -0.9, 0.5, 0.3 in decreasing order.\nAnswer: 0.5, 0.3, -0.9, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6745 and 639.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19145570833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 7*k + 6*k)*(-5*k - 2*k + 5*k) + 49*k + k**2 - 1 - 49*k.\nAnswer: -17*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 30. Let j(i) be the first derivative of 2 + 0*i**s + 2\/5*i**5 + 0*i**4 + 0*i**2 - i. Find the first derivative of j(y) wrt y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emmo. Give prob of sequence me.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3196 = -4036*f - 362*f + 40784 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -112*z**2 + 113*z**2 + 23 - 12*z + 4*z. Let n be v(7). Solve p + n = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohohus. Give prob of sequence hos.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -211424 - 1?\nAnswer: -211430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-five sevenths of a week?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19\/3 - 17\/3. Which is the closest to -1? (a) 1 (b) m (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585571837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72879?\nAnswer: 3, 17, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 n, and 1 b when four letters picked without replacement from mmnbn.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 3. Let k = t + 13. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44608, -44614, -44624, -44644, -44680, -44738, -44824, -44944?\nAnswer: -45104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o + 5. Let t(h) be the third derivative of h**4\/6 + h**3 + 2*h**2. What is -5*s(x) + 4*t(x)?\nAnswer: -4*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3218*g**3 + 693*g**2?\nAnswer: 19308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1520, 1040, 246, -856, -2260, -3960, -5950, -8224?\nAnswer: -10776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 1799070?\nAnswer: 7196280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**6\/30 + z**5\/10 - 5*z**4\/3 + 4*z**3 + 763*z. Factor t(v).\nAnswer: v*(v - 2)**2*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 107216 (b) -1 (c) -34\/9 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5042009897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**2 + 93399*n - 42781860 = 0.\nAnswer: 465, 30668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(304) + -5 + sqrt(304) + 1)**2.\nAnswer: -128*sqrt(19) + 1280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 1806?\nAnswer: 19866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d - 34*d + 2812 = 3648 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q + 1. Let u be c(1). Let o be (8 + -7)\/(u\/(-4)). Let a(k) = -5*k**2 + 2*k**o + 4*k - 3*k. Let d(l) = -4*l**2 + 2*l + 1. Give -3*a(n) + 2*d(n).\nAnswer: n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -38.52 and -2.294.\nAnswer: 88.36488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than 20213598?\nAnswer: 20213598.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 9.6 * 6268\nAnswer: 60172.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20.8, -616, 1 in decreasing order.\nAnswer: 20.8, 1, -616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -304254 + 0?\nAnswer: -304254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1020656 and 59696?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.70769595455 and 0.4.\nAnswer: -3.30769595455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 205.5 - 205.50003825. Round j to six dps.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2021 and 803627?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2*1\/9 + (-69)\/(-243) and -109\/6?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13590281*v**5 + v**4 - 39666142*v**2.\nAnswer: -815416860*v**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.329741 - -109.\nAnswer: 109.329741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 407dee?\nAnswer: -407de4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.931 minus 259.387?\nAnswer: -257.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 160*d**3 - 2 + 5*d**2 - d**2 - 165*d**3 - 2. Let s(f) = -f**3 + f**2 - 1. What is -3*k(b) + 12*s(b)?\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 2*s - 2. Let x(p) = p**3 - 2*p + 1. Suppose 2*d = -2*q + 2, 5*q = 3*d - 7*d + 3. Let l(k) = k**2 - 2. Let w be l(d). What is w*t(r) + 3*x(r)?\nAnswer: r**3 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (1 + (-1 - 9) - -12).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-7))\/(3210\/24717) + (-6)\/10. Put 1, -74, o, 2 in increasing order.\nAnswer: -74, o, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*t + u, 3 = 3*t + 5*u - 2. Suppose 4*p = 3*r + 2*p + 2, -3*p + 4 = -t*r. Let v be -3 + 21\/(-18)*r. What is the closest to 0 in 0.2, 3\/5, v?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/(-38) + 1 - (-3)\/((-6)\/(-319)). Calculate the greatest common divisor of 26887 and o.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2. Let r(f) be the second derivative of f**6\/144 - f**4\/6 - 3*f. Let k(z) be the third derivative of r(z). Calculate l(k(q)).\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yghyvyyygyvyygh.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 4. Suppose -40*h + 45*h = 90. Suppose -35 - 73 = -h*p. Solve -b*k - 2 = p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(1620)*1 - (5 + sqrt(1620) + 2))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111715 (base 10) to base 12.\nAnswer: 54797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2755020, 2755018, 2755016, 2755014, 2755012?\n\"Answer: -2*i + 2755022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1837*m**4 - 2*m**2 + m + 46.\nAnswer: 44088*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) -2\/143 (b) 2\/7 (c) 0.3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + -5 + 9 + (50 - 64)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 + 2*u + 5. Let v(x) = 8*x**3 - 6*x**2 - x + 8. Let c(b) = -13*b**3 + 10*b**2 + b - 15. Let k(m) = 6*c(m) + 10*v(m). Determine -5*i(t) - 2*k(t).\nAnswer: t**3 - 2*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 13*m**2 - 14*m - 14. Let i be h(-12). Suppose -z + 3 - 1 = 0. Suppose -i + 4 = -z*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**3 + 4*r**3 + r**5 + (1 - 1 + 1)*(-2*r**3 - 2*r**5 + 2*r**3) - r**5 - 5*r**5 + r**2 + 3*r**5.\nAnswer: -4*r**5 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*w**2 - 70*w**2 + 20*w**2 - 273*w**3 wrt w?\nAnswer: -1638","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -5*m**2. Let f(j) = -399*j**2 - 105*j + 35. Let t(l) = 67*l**2 + 18*l - 6. Let d(o) = 6*f(o) + 35*t(o). Determine c(d(g)).\nAnswer: -12005*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-4)\/(-24)*-16. Let b = 38 - r. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 37 - 3. Let b = -3290.08 + 3290. Is b != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 12, 22, 36, 54?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m - 51*m = 124*m + 1208 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9581)\/88)\/13 - -8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 12*q**2 - 15*q + 16. Let t be n(-13). Suppose 0 = -11*p + 8*p + t. Calculate the least common multiple of p and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, -0.05, -0.013, -63, -3 in decreasing order.\nAnswer: -0.013, -0.05, -3, -63, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 7 = -6*g. Let j be (-3)\/((-6)\/g)*-8. Is (-54064)\/j + (3\/21 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -8*t**3 + 12*t**2 - 3. Let p(o) = 7*o**3 - 11*o**2 + 2. Let n(b) = 3*p(b) + 2*w(b). Find the third derivative of n(q) wrt q.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of 11*z**3\/3 + 90*z + 1. Determine h(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(81)\/sqrt(3) - sqrt(27)) + 1 - ((sqrt(108)*-1 + sqrt(108))\/sqrt(4) + sqrt(27) + sqrt(27))*-1.\nAnswer: 1 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26437173.\nAnswer: 3, 7, 953, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3870600 to the nearest one hundred thousand.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*w - 36 = 5*h + 21*w, -h - 36 = -11*w - 8 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 313878190 to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5800)\/(-15))\/(-5))\/((-33864)\/38097).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 919?\nAnswer: 1838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426184.\nAnswer: 2, 11, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7199242 is divided by 234?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1609 - -2?\nAnswer: 1610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 0 - 12 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 36, 19*k - 15*k = 8*k + 4*s + 92 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 6*s - 6. Solve -y = 2*x - 4, -s*y + 8 = -x + 2*x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10819, 10837, 10855, 10873, 10891?\n\"Answer: 18*w + 10801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - (17 - 38)) + (0 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 7:48 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(40)\/sqrt(8) + sqrt(5)))**2 - 3*sqrt(2)*-2.\nAnswer: 1\/2 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 21 = -2*n. Suppose 4*m - 23 = 2*v + 7, m = -4*v + n. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23647*m + 28018*m + 10410*m.\nAnswer: 62075*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 6*s**2 - s + 1. Let g(n) = -14*n**2 + 8. Let m(t) = -5*t**2 + 3. Let i(x) = 6*g(x) - 17*m(x). Let w be i(2). Determine h(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4848098*d**4 - 12332*d - 41 wrt d.\nAnswer: 58177176*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2016 and 8420?\nAnswer: 1697.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (12\/(-30))\/((-2)\/340). Suppose j - 34 = -j - 2*x, x = 4*j - b. Calculate the remainder when j is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 3:01 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1993 + -1938. Solve -9*h - o = -20*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 164025.\nAnswer: 656100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (250\/(-6))\/(-5)) + (-240)\/(-45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1097*q - 36. Let w be m(8). Let r = -10452 - w. Let i = r - -1113079\/58. Find the common denominator of 21\/2 and i.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51635*a**3*d**3 - 136*a**2 + 5*a*d**3 + a*d**2 - a*d + 1512*d**3 + 21 wrt a?\nAnswer: 309810*a*d**3 - 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62035500 to the power of 1\/5, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + 39 + 1 + -20 - -89?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 704 in 5, -4, -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1088 by 272.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/185 - 197\/555. Which is the closest to o? (a) -3 (b) 4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3564)\/1980)\/((-17)\/10 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 167*o**3 + o**4 + 30*o**2 - 5*o**2 + 5*o**2 + 4*o**4 - 4*o**4 wrt o.\nAnswer: 24*o + 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 6. Let l(f) = -5. Give -3*j(c) + 2*l(c).\nAnswer: -3*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2701\/315 + 24\/35. What is the common denominator of (-917)\/12*(-10)\/(-35) and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b*o**3*p**3 - 63*b*o**3*p - 2*b*o**2*p**3 + b*o**2*p**2 + b*o*p**2 - 92*b*p wrt o.\nAnswer: 6*b*p**3 - 378*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1179 or 1189?\nAnswer: 1179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 9:00 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 2\/13, -0.4, -1\/29, 2, 0.052?\nAnswer: 0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36755356 a multiple of 384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*k - 36*k + 1029 + 816 = -136*k for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 3*k + 2. Let o be m(2). Let c(l) = 2 - o + 4 - 3*l. Suppose -2*d = 4*r + 2, d = 2*r - 2*d + 13. Determine c(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 6 = -4. Suppose v*j + 9 = 5*j. Let o(b) = -5*b - 7. Let n(s) = 2*s + 3. Let u(y) = 7*n(y) + 3*o(y). Determine u(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 0*g + g + g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2175 divided by -2175\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c + 17. Let x be d(3). Solve p - 3*r + 5 = 0, 0 = 5*p + r - x*r + 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/5 of a meter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5287 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000275702771 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 385999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 g when three letters picked without replacement from {g: 4, w: 6}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(2\/15)*a)\/((a**(2\/5)\/a)\/a*a))**17)**(6\/17))**(-2\/43) assuming a is positive.\nAnswer: a**(-104\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*u + 3*u. Calculate the lowest common multiple of u and 4\/16 - 7\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 + 2*h**2)*(0 - 3 + 5) - 17*h**2 + 15 - 15)*(0 - 2 + 3) in the form a + y*h**2 + c*h and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/2, 14\/84947, -2\/5?\nAnswer: 14\/84947","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426933?\nAnswer: 3, 13, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d + 23*d + 6*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -12. Calculate the highest common factor of k and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from {z: 2, i: 2, w: 2, u: 1, c: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-1)\/(-1)*(1771\/22)\/23\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 251566.1 milliseconds in nanoseconds?\nAnswer: 251566100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -76215*h**5 - 2*h**4 - 8*h**3*m**3 + 56*h**2*m**3 - h**2*m**2 + 1561*h + 69*m**2 wrt h?\nAnswer: -4572900*h**2 - 48*h - 48*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**3 + 14*r**2 + 311*r - 1005. Calculate l(3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (22\/(-6))\/((-6)\/90). Let k = c - -9. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1060468 + 7423278\/7. Determine r, given that 4*r + z*r**2 - 30\/7 = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*k - 7, 0 = -0*m + 4*m + 5*k - 23. Suppose u = -t - 25 + 105, 0 = -3*u - m*t + 239. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100011010100110 (base 2) to base 10.\nAnswer: -83622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.902 to 1 dp.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q + 8*q + 31740 = 0. Let s = -1056 - q. Suppose -8\/17*y**s + 14\/17*y + 4\/17 = 0. What is y?\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 41908, 1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2243 + -53?\nAnswer: 2150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/15)\/(1\/15). What is the remainder when v*(1 + -1 + 3) is divided by 5 + 8\/(-32)*-20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 144\/285 - 4\/38. Determine c, given that -s*c + 4\/5 - 4\/5*c**2 + 2\/5*c**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248\/10 + 17\/85 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327*a + 8382 = 3*v - 324*a, 0 = 3*v + 5*a - 8372. What are the prime factors of v?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d9 + 4?\nAnswer: 1dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvpvpevvepp. What is prob of sequence ev?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 16 = -0*g. Let s(o) = 2*o - 3. Let z be s(g). Suppose -i + 3*i + 1 = -f, 0 = -4*f - z*i + 11. Calculate the remainder when 25 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*v = 191*v - 155*v + 448 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + -45 + 0 + (2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -1\/5*s**2 - 22801\/5 - 302\/5*s = 0.\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - x - 4 + (-10 + 0 - 2)*((1 - 2 + 2)*(-x + 4*x - 5*x) - 3*x + 4*x - 3*x) to p*x + c and give p.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 + 0 - 8*y**3 - 2*y**3 - 3.\nAnswer: -10*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 304610004 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55.69418 - 55.7. Round t to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*o**5*q**3 + 57921*o**5 - 6961*o**2*q**3 - 4*o*q**3 wrt o?\nAnswer: -120*o**2*q**3 + 3475260*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**3 - 30*a**2 - 10366*a - 144723. Determine w(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 1. Let m(a) = -5*a**3 + 15. Let w(y) = -16*y**2 + 5*y - 4. Let l be w(1). Let j(f) = l*d(f) + m(f). Find the third derivative of j(k) wrt k.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 161, 16, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 37, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.10626 and -18.28161.\nAnswer: -15.17535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**3 + 2*x**2 - 6*x + 206. Determine a(0).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/2 + 1\/(-2). Let g be (-6)\/(-9) + (-154)\/(-21). Let i(u) = 2*u + l*u - g*u. Let x(y) = -y**2. What is x(i(k))?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(300) + 0)*-1*2 - ((sqrt(300) - (sqrt(300) - 1*sqrt(300)) - sqrt(300))*-6 + sqrt(300) + sqrt(300)*1 + 3))*4)**2.\nAnswer: 3840*sqrt(3) + 76940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -220282, -220275, -220268, -220261, -220254?\n\"Answer: 7*d - 220289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -580 + -3 - (1 + 1). Let j = -2341\/4 - x. Which is the second smallest value? (a) -19 (b) j (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 412018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 + 9*w**2 - 63*w**2 + 2*w**2.\nAnswer: -50*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14473*z + 11665*z = -50544 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 d when three letters picked without replacement from eefd?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 4. Let v = z + -20\/9. Let b = -1532\/5 - -306. What is the closest to -2\/9 in v, 1\/5, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 8. Let v be a(11). Let l be 1116\/(-40) + v\/5. Let n = 28 + l. Sort 3, 5, n in descending order.\nAnswer: 5, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3706*m - 2*a + 808 = 3710*m, -822 = -4*m + 5*a. Solve -70 = m*c - 193*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623321293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 45 = -4*x, -x = 2*t + 2*t - 21. Solve 9*l - x - 9 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -11 - 117\/(-45))*-15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2 - a - 1. Let x be m(2). Suppose 2*i + x*p = 0, 4*p = -4*i + 3*i - 3. Let j(o) = -o**3 + 5*o**2 + 2*o - 7. Calculate j(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -209 (base 14) to base 5\nAnswer: -3101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - -45 - 0\/(-2). Suppose 0 = -r + 4*k + 16, -r = 4*k - k - c. Is r\/2 + (-7 - -5) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r + 8. Let h(f) be the first derivative of -f**5\/40 - 5*f**4\/24 + f**3\/3 + 2. Let s(v) be the third derivative of h(v). Determine 5*a(b) + 8*s(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.633 + 5.673. Put y, 20\/9, -5 in descending order.\nAnswer: 20\/9, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 8*a**2 - a**2 + 0*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3290791 divided by -7.\nAnswer: 470113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 16 = -12. Let n(z) = z + j + 7 - 3. Let h be n(-8). Solve 0 = 2*k + 2*r - 8, h*r - 4*r = 5*k - 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b. Let h be v(5). Let t be (-2)\/9 - 435\/(-135). Suppose 8 = -t*w - 7, -h*p + 5950005 = -w. Round p to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35754 is divided by 1489.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 17072191 to the power of 1\/2, to the nearest integer?\nAnswer: 4132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3317075*h. Let g(j) = 2*j**2. Calculate a(g(o)).\nAnswer: -6634150*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16795, 23620, 34999, 50932?\n\"Answer: 2277*q**2 - 6*q + 14524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 2*w - 55. Suppose -8*q + 11*q = -w. Which is greater: -17 or q?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39304, 39322, 39352, 39394, 39448, 39514?\nAnswer: 39592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2014304 + 4?\nAnswer: 2014313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1830.231m?\nAnswer: 1.830231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -264443, -264352, -264263, -264176, -264091, -264008?\nAnswer: -263927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*g + 4*a - a = 122*g - 49, -5*a + 3325 = 167*g for g.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1588\/43, 3, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) - sqrt(132)\/(sqrt(36)\/sqrt(6)) - (3*sqrt(1078) - sqrt(1078)))\/(-6*(sqrt(539)*1 + sqrt(539))*-5).\nAnswer: -sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l**2 + 22*l + 22. What are the prime factors of m(6)?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -140871\/4 at most -35217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 70351176, 70351177, 70351178, 70351179, 70351180?\n\"Answer: x + 70351175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -204489\/70 - -2921. Calculate the common denominator of z and 74\/105.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-58)\/14)\/((-908)\/3178).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 14 - 11*i**2 + 13*i**2 - 1 to m*i**2 + k + v*i and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 34 (b) 0.4 (c) -0.3 (d) 3\/7 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) -4 (c) 20 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 391272701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 332113 (base 4) in base 5?\nAnswer: 111431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 3) in base 5?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 4*t - 3. Let f be a(-5). Suppose f*g - 5*g = -6. Suppose q = -g*q - 9. Is -22\/9 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (76 - -1)) + 3. Let j be ((-6)\/b)\/((-5)\/(-700)). Which is greater: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/(-42) - ((-6)\/(-7) - (-532)\/294)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 4*q = 8*f - 160, -5*f - 3*q = -421. Calculate the remainder when f is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.23 + -2.03. Let v = n - -2.26. Which is the closest to v? (a) -0.6 (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v + 3*v - 4*v)*(17*v - 7*v - 11*v) to the form r + w*v**2 + o*v and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11864, -2, 5, 67.\nAnswer: -11864, -2, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*a + 5*a**3 + 229 - 7*a + 1119 + 18*a + 7*a wrt a?\nAnswer: 15*a**2 + 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + t**2 + 3*t)*(2 - 1 - 3) + (t + 4*t - 4*t)*(3*t - 6*t - t) + 17 + 5*t**2 - 17.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 346 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*r + 20*r - 37*r as h*r + w and give h.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/21*1750\/(-375))\/((-4)\/(-14))?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) + 5 + sqrt(1377) + sqrt(1377) + 0)*-3)**2 - ((-3 + 2 + sqrt(1377))*6)**2)*3.\nAnswer: 9234*sqrt(17) + 186462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, b: 1, i: 6, e: 1, n: 1}. What is prob of picking 2 n and 1 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 1:22 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-27770.\nAnswer: -55540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-24)*8*33\/11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Suppose z*g + 2*g + 9 = 3*l, -3*l = -9. Let r(q) = -q**3 + 3*q**2 - 8*q + 1. Let f(t) = t**2 - 4*t. Let a(b) = -2*f(b) + r(b). Determine a(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 577 - 586. Find the common denominator of 26\/12*6\/20 and o - -4 - 189\/18.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/9 - 1687*r + 225720.\nAnswer: (r - 15048)*(r - 135)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14266182 and 336.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u**3 - 1. Let n be (-70)\/(-21) + (-2)\/(-3). Suppose 2*d + 0 = -4*x - n, 5*x - d = 9. Give q(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v - 10. Let s be d(-7). Let f = 3 - s. Is f != -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 2\/11, 0.35, -5\/6?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + t - 783054 = 0, -o - 2*t - 156602 = -0*o. Let a = -360842 - -544232. Let y = o - a. What is y rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-63) - 438\/(-14). Suppose -17 = -3*q - 71. Let g = q + u. Calculate the remainder when g is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, 2, 0.5, -1\/19, 5 in ascending order.\nAnswer: -160, -1\/19, 0.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/7 or -0.1?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5 - 16 = c, -c + 4*x + 6 = 0. Let u be (-4)\/6 + (-76)\/c. Let w be -10400000*(-3)\/u*14. What is w rounded to the nearest 1000000?\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of h**6\/120 - h**3 + h**2\/2 - 2. Let f(g) be the second derivative of t(g). Let o be ((1 + -1)\/(-33 - -35))\/1. What is f(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8434649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28.8426 + 28.58. Round s to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*n = 119, -5*z - 34 + 159 = 5*n. Which is the nearest to z? (a) -4 (b) 1\/3 (c) 4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/x**(-11\/4))\/(x**8*x*x*x))\/((x**(2\/43)*x)\/(x\/x**(-1\/37))) assuming x is positive.\nAnswer: x**(-33535\/6364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -24055.\nAnswer: -1\/24055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541413.\nAnswer: 3, 43, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57230)\/(-4753) - (0 - 5\/((-30)\/72)).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -3\/2 (c) 0.346 (d) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120102 (base 3) to base 11.\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + 1)*-4 - sqrt(90)\/sqrt(2)*1)**2 + (sqrt(180) + -4*sqrt(180))\/(sqrt(729)*3).\nAnswer: 1078*sqrt(5)\/9 + 1141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 51 - 110*x**3.\nAnswer: -110*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1162012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 16, 32, 64, 118, 200?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25475 + -10483. List the prime factors of c.\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 12*v - 360 = 0. Suppose -5*t + 6*f - 2*f = -11, 2*t - 5*f - 18 = 0. Let d = t + v. What is the remainder when 139 is divided by d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 2184988806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 198553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -2. Let y(v) be the first derivative of -v**2\/2 + v - 5. Let x be y(-4). Which is the nearest to j? (a) x (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + (1 + -13 - (-14 + -4)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -272, -915, -2168, -4235, -7320?\nAnswer: -11627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 171343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r**3 - 35*r**2 + 16*r + 62. Give u(-12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28795 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/240 and -17\/38175.\nAnswer: 610800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1719*s**4 - 1152*s**4 + 1718*s**4 + 955*s**2 wrt s.\nAnswer: 54840*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 18 + (-21 - -15) + -3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, x: 1, s: 1, q: 1, f: 1}. What is prob of sequence qs?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 3\/5, 2217\/352?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 381 by 1712326.\nAnswer: 381\/1712326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634.686 years to centuries.\nAnswer: 6.34686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 = -37*o + 140*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -0.11695, 3\/5, -120?\nAnswer: -0.11695","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*o - 16, 0 = 4*r - r - 4*o - 1. Suppose -385 = -5*q - 2*d, 0 = r*q + 3*d - 8*d - 200. What is the highest common factor of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11580157 and 6354.\nAnswer: 11586511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1267d (base 16) to base 10.\nAnswer: 75389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5686703.\nAnswer: 11, 516973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = 5*a + 3*f + 112, -191 = 5*a - f. Let t = a + 38. Solve -5*q + 24 + 6 = -5*c, t = -c - 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 7:00 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f + 37*f = -9*f + 705064. What is the remainder when f is divided by 121?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + 4 + (sqrt(1584) + 0 + 1)*1)*5 + 5)**2.\nAnswer: 61200*sqrt(11) + 1432825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 887951.2 decades in months?\nAnswer: 106554144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 294528 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 6*k - 4. Let s be g(-7). Solve 9 = -0*i + s*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -3*i - 4*m, -37*i - m = -38*i + 1. Calculate the lowest common multiple of i and 914.\nAnswer: 2742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -15*j + 13*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 20035745*y + 60107244.\nAnswer: -(y - 3)*(y + 20035748)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z**2 + 2*z - 4. Let s(w) = -40*w**2 - 6*w + 17. Give -2*o(n) - s(n).\nAnswer: 32*n**2 + 2*n - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*t - 2*i, -t - 19 = -2334*i + 2330*i + 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*z - 144, 2*z + 4*l = 5*l - 91. Let k = 45 + z. Let q(u) = 64*u**3 + u**2 - u + 1. What is the tens digit of q(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1638*p - 9*p = 48870 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 3*k**2 - 8*k - 16. Determine j(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 101322311 (base 4) in base 12?\nAnswer: 36585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or -720.6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**6\/120 - s**5\/60 + s**4\/8 + s**2. Let i(j) = 3*j**3. Let h be i(-1). List the prime factors of c(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2. Let f(x) = 444*x**2. What is -888*b(t) + 3*f(t)?\nAnswer: -444*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1088 - 0.1086736. Round w to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 43\/4 of a millisecond?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 1. Suppose -4543 = -h*w - 493. What is w rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jdjjjjdjj. What is prob of picking 4 j?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/9)\/(p\/p**(-2\/5)))**39*((p**1)**(1\/7))**(-14) assuming p is positive.\nAnswer: p**(-914\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 1:22 PM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1110 + 364 - 3*k + 374 + 372.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, -3, 19, 5, -2.\nAnswer: -3, -2, 2, 5, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 236750, -1\/9, -1\/8, 0.5 in descending order.\nAnswer: 236750, 0.5, -1\/9, -1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160 - 2*z - 78 - 4*z - 82.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 - 57. Calculate the greatest common divisor of 45 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*g**2 - 7*g + 7*g + (g**2 - 2*g**2 - 2*g**2)*(0 + 1 - 2) + 11*g - 11*g - g**2 - 3.\nAnswer: -12*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -241*m**4\/4 + 41*m**3 - 882. What is the third derivative of t(p) wrt p?\nAnswer: -1446","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012722397 to 7 dps.\nAnswer: 0.0000127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16229?\nAnswer: 16229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -36. Let h = 508 + -504. Sort q, h, 7, 3.\nAnswer: q, 3, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4960 - 5207 = 19*k for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2\/3 + 572*c\/3 + 1440.\nAnswer: 4*(c + 8)*(c + 135)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 286798 rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188229 is divided by 2208?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-1))\/((-26)\/26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3. Suppose n = -4*c + c + 156. Is -2 - (2 - c)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**2 + 11*k**2 + 2*k**2 + 5*k**2 as m + l*k**2 + r*k and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, n: 2, t: 1, v: 1, y: 2}. Give prob of sequence tn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77465 is divided by 38730.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 252101aa?\nAnswer: 25210203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 329193, 329664, 330137, 330612?\nAnswer: 331089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 1736*q**3 - 7*q**2 + 9*q - 21. Let c(u) = 1738*u**3 - 8*u**2 + 10*u - 24. Calculate -7*c(d) + 8*g(d).\nAnswer: 1722*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13224 = -1067*z + 46301 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**5\/30 - 3*q**4\/8 - q**3\/2 + q**2 + 65*q. What is i(7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*i**3*j**3*t - i**3 - i**2*j**3*t + i*j**2 - 2*i*j*t + 2*j**3*t + 3*t wrt i.\nAnswer: 84*i*j**3*t - 6*i - 2*j**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, m: 5}. Give prob of picking 2 m.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/(-266)*35\/(-30).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 1. Suppose -2*o - 866 = -2*c, -r*c = -o - o - 857. List the prime factors of 2\/(-8) - o\/16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r = -5*r + 420. Suppose -4*w + 41 = -5*d, -3*w = -0*w + 4*d - 23. Calculate the smallest common multiple of w and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 245933765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 - -26. Let j = 13.4 + x. Which is the biggest value? (a) j (b) -2\/7 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 12*f - 115. Suppose -5*m + 0*g + 2*g = -f, 3*g + 21 = 3*m. Suppose m*i - 260 - 388 = 0. What is the highest common factor of i and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-1.22.\nAnswer: 6.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/4431 + 1351433\/48741. Which is smaller: t or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66103009*g**2 - 17193*g - 1454 wrt g?\nAnswer: -132206018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**5\/5 - 784*o**4\/5 - 1930*o**3 + 76876*o**2\/5 - 166456*o\/5 + 115216\/5 = 0. Calculate o.\nAnswer: -379, -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -259 - 10*h + 259 + 11*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*s = 33*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*h**3*s**2 + 7*h**3 + 5*h**2 + 3918*h*s**2 + 1708*h + 1 wrt s.\nAnswer: 16*h**3*s + 7836*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3943*i - 1420*i = -126150 for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 4*l + 6. Let c be (-3)\/(-2 - -1) + 0. Suppose c*j + 10 = -h, 2*h = 3*j - 6*j - 14. List the prime factors of f(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b - 3*j - 12 = 0, 4*b - 20 = 5*j. Let c = 53 + -473\/9. Is b less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24.52 - 25. Let c = -0.38 - n. Sort -3, 0, 0.4, c.\nAnswer: -3, 0, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1)*(-58)\/(-174).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 8:55 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*f + 4*a - 3, 4*f - 24 = 4*a. Let x(j) = -j**2 + 6*j + 8. Calculate the remainder when f is divided by x(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 0.5 (c) -7\/8 (d) -10\/3 (e) -754\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*(-24)\/810)\/((-3)\/(-15))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70216 is divided by 1091.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 25 = 2*m - 14, -m - 8 = 3*h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y**2 - 87*y - 972. Calculate l(-11).\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 8*h**2 + 7*h. Let d be b(-7). Suppose -5*m + 25 = -d. Suppose 0 = m*i - 3 + 8. Is -2\/9 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010138 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/30 and -29\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2\/7 (b) 9\/97 (c) -1 (d) -0.3 (e) 1\/3 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -895 to the nearest ten.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1011101?\nAnswer: 1011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95816, -191464, -287112, -382760, -478408?\nAnswer: -574056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 4. Let a be l(-6). Let z be 1\/(a\/(-52*1)). Solve x - z = 5*t, -4*x + 14 = -3*t + t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/18 and 85\/2530896.\nAnswer: 7592688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 180911 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2740 and 180.\nAnswer: 24660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -390, -295, -184, -51, 110, 305, 540, 821?\nAnswer: 1154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4413001 + 2335?\nAnswer: -4410222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1384 - -665. Let k = -47 - y. Factor -k + 36*t + 28*t**3 - 58*t**2 - 2*t**2 + 672 - 4*t**4.\nAnswer: -4*t*(t - 3)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17028.76 - 17025.8599975. Let a = -4.4 + 1.5. Let k = a + j. Round k to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.07013 + -0.17013. What is the nearest to 0.2 in -1, 16, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccccrrcrccrccc?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = 4*x, 2*y + 4*x - 10 = -0*y. Let w(c) = 18*c - 6 + 0 + 7. Is w(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579812719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2653 = d - 356. Let x = 27261 - d. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/((sqrt(40)\/sqrt(4) + sqrt(10))*-6))\/(6*(sqrt(3) - sqrt(6)\/sqrt(2)) + 2*sqrt(147) + sqrt(3)).\nAnswer: -sqrt(3)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13073291212164 less than -0.04?\nAnswer: -13073291212164.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s + 1\/2*s**2 + 1\/12*s**4 + 0 + 0*s**3 + 1\/30*s**5. Let h(w) be the first derivative of t(w). Factor h(l).\nAnswer: 2*l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(6\/(-3)))\/((-468)\/(-26))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, m: 2, s: 2}. Give prob of picking 1 m and 1 f.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 2:00 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 176\/(-242)*2\/8\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 7 + 5. Let c(l) = -l**2 - 4*l + 1. Let z(t) = t**2 + 3*t - 2. Let m(h) = 4*c(h) + 3*z(h). Give m(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -18698, -37273, -55848?\n\"Answer: -18575*n - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + -0.8. Let h = b - -0.54. Let c = h + 2.06. What is the third biggest value in c, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3 = -1. Let r be (24\/(-108))\/(p\/3). Let i be (4 + 2)*3\/(-42). What is the nearest to i in 1, r, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3009\/(-6) - (-1296)\/(-72). Is x less than -521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(36) + sqrt(900))*1 + -4)**2.\nAnswer: -2*sqrt(3)\/3 + 769\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16408 and 728?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 6*m**2. Suppose 0 = 5*s - 1 - 29. Let y be (s\/5)\/(2\/(-10)). Give u(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -0.38.\nAnswer: 0.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 1342222.\nAnswer: 1342222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from ujujjjjjujuu.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -16. Let n(a) = 6 - 6*a**2 + 2*a**2 + 0 + 9*a. Let c(h) = -h**2 + h + 1. Let j(d) = v*n(d) + 6*c(d). What is the second derivative of j(r) wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -4. Find the second derivative of 2*w**2 - 15*w - h*w**2 + 19*w wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00583388*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + -17. Let g = z + -28. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 + 1. Let w be s(1). Suppose 3*u + 4 = 4*u. Let z be 7 + 319\/(-44) + (-34)\/(-8). Solve -u*t + 5 = -w*m, 5*m + 2*t - 15 = z*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(243) - ((sqrt(243) - sqrt(243)*1) + -4))*-2 - ((sqrt(243) - (-1 + sqrt(243))) + -2 + 2 + -2*sqrt(243)))*-2)**2.\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**7\/210 - y**4\/24 + y**2 + 3*y. Let b(i) be the first derivative of c(i). What is the second derivative of b(w) wrt w?\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-12*(-3)\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3 + 12196*a**2 + 37148989*a - 223333206 = 0 for a.\nAnswer: -6101, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4961042?\nAnswer: 2, 17, 79, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -346770 (base 8) to base 7.\nAnswer: -1001536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 3\/80*p**5 + 92*p + 5\/8*p**4 + 7\/2*p**3 + 0 + 9*p**2. Determine h so that c(h) = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10452681*l**3 + 20904989*l**3 - 10452298*l**3.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/7? (a) -1\/7 (b) 4 (c) -104 (d) 2\/13 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((60\/30)\/((-4)\/8))\/((-1)\/(-9)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -8*z + 3. Let i(s) = -4 + 48*s - 37*s + 0. Let g(r) = 5*i(r) + 7*o(r). Give g(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.8 + -33. Let x = -5.1904 - p. What is x rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 823 + -333. Let b = s + -489.951. What is the fourth smallest value in -5, 1, 1\/5, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 118395 and 10256515?\nAnswer: 4385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 1253*t**2. Let v(q) = 3*q**2 - 15*q + 10. Let z(c) = c**2 - 3*c + 2. Let o(h) = -v(h) + 5*z(h). Determine o(w(l)).\nAnswer: 3140018*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35617608 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 111010100110?\nAnswer: 111010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + 1 + sqrt(275))*4 - ((-2*sqrt(275) - sqrt(275)) + sqrt(275) + 4 + 1))*-1 + 3 + -1)**2.\nAnswer: 300*sqrt(11) + 9925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18095 is divided by 148.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*u**2 - 183*u + 0*u**3 + 332*u - 2*u**3 - 147*u + 6*u**3 - 2*u**4 in the form f + j*u**2 + p*u + b*u**3 + d*u**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44022 (base 5) to base 12.\nAnswer: 18b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 16) to base 8.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -l**6\/120 + l**5\/10 + 5*l**4\/24 - l**3\/6 + 5*l**2 + 11. Determine r(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -5*z**2 + z**5 + 18 - 20\/3*z**3 + 15*z + 5\/2*z**4. Factor a(m).\nAnswer: 5*(m - 1)**2*(m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.3, 65, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720 is divided by 269?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -312, -640, -984, -1350, -1744?\nAnswer: -2172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1313310281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46998 and 15084.\nAnswer: 39384324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 + -2824?\nAnswer: -2685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 234505088 to the nearest ten thousand.\nAnswer: 234510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -21777 less than -21777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.795861806 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 74. What are the prime factors of a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -188*y**6 - 14*y**4 - 175*y**2.\nAnswer: -22560*y**3 - 336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8915974.\nAnswer: 2, 4457987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55224, 110240, 165252, 220260, 275264?\nAnswer: 330264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 5*p - 45 = -80, -4*p = z + 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -355943, -711898, -1067853, -1423808?\n\"Answer: -355955*o + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*r + 8, 3*r + 17 = 6*r + t. What is the least common multiple of (6\/(-18))\/1 + (-28)\/(-3) and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93882, 187667, 281440, 375195, 468926, 562627, 656292?\nAnswer: 749915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5933*n - 2 + 3148*n - 4*n**2 + 3075*n - 2*n**4 in the form m*n + d*n**4 + z*n**3 + j + c*n**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/419 - -6289\/838. What is the common denominator of v and -1 + 23\/(-12) - 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -6*h**4 - 11*h**3 + 11*h**2 + 11*h + 5. Let d(a) = a**3 - a**2 - a - 1. Let g(n) = -22*d(n) - 2*l(n). Find the first derivative of g(x) wrt x.\nAnswer: 48*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-3))\/(-4 - -18)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -266*u**4 - 126*u wrt u?\nAnswer: -3192*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-60)\/(-6))\/(8\/2))\/(-1).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3251039 and -0.3?\nAnswer: -0.09753117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**3 - 56*f**2 + 5*f + 149. What is h(17)?\nAnswer: -1211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6\/611?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1195449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -3*b + 3. Let s be ((-212)\/(-265))\/((-1)\/(-5)). Suppose -14 = -b*d - d + j, s*d - 26 = -5*j. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -471\/40?\nAnswer: -471\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*j - 0*w - w, -3*j = 4*w - 8. Let h be -1 - 6\/j - -2. Suppose -8*y + 8 = 3*t - 3*y, y = t. Which is greater: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, u: 9, a: 10}. What is prob of sequence ama?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1687 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3043731853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 2:22 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**5\/10 + 7*x**4\/12 + x**3\/3 + 4*x**2 - x. Let b be t(4). Solve -3*a + b = 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + 22. Suppose -5*q - 4 = 16. What is the third smallest value in -0.5, y, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 15*s + 152 = 0. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/4)\/g*g**(-6\/7))**28)**22 assuming g is positive.\nAnswer: g**(-990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 52128 divided by -17376\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 28. Let p = d - -18. Which is the nearest to p? (a) -2 (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.19 + 1. Let g = b + 0.12. Let n = 34 + -38. Put g, -1\/4, 0.4, n in descending order.\nAnswer: 0.4, g, -1\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -319*h + 6360. What is b(20)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 127747608 to the power of 1\/2, to the nearest integer?\nAnswer: 11303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 449*h*j**2 + 9852*h + 3*j**3 + 108*j + 18 with respect to j.\nAnswer: 898*h*j + 9*j**2 + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -41\/33 (b) -3 (c) 2\/27 (d) -2\/9 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6*(-2616)\/(-10246)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 110*c**3 + 4 + 112*c**3 + 11*c + 8*c**2 = 0. What is c?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, d: 4, y: 2}. What is prob of sequence yd?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*u - 300 - 256 = 2159 - 230 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3622, -4468, -5314, -6160?\n\"Answer: -846*w - 2776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 14*r**2 + 2*r - 14. Is 58 a factor of m(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**3 + 0*h**3 - 97*h**2 + 2 + 91*h**2 to q + a*h**3 + y*h**2 + c*h and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.314002 times -5?\nAnswer: -841.57001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (12 - (-7 + (7 - -8))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*a - 25 - 19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.151 (c) -4 (d) 1 (e) 0.32 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5 - 6*(-4)\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-3*(sqrt(84) - (sqrt(84) - 1*sqrt(84))) + sqrt(84))\/(-1*sqrt(12)*4) - (sqrt(112) - (sqrt(175)*-3)**2)).\nAnswer: -7*sqrt(7)\/2 + 1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18982.84 rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10373.8763 rounded to the nearest ten?\nAnswer: 10370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n**2 - 217*n + 16. Calculate p(27).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - (4 - (2 + -1)). Let q(o) = o**3 + 10*o**2 + 8*o - 12. Let r be q(k). Is -2 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3905?\nAnswer: 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4522747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 225 = -7*s. Let q = -677\/9 + s. Sort q, 0, 2 in decreasing order.\nAnswer: 2, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4 = -5*q - 20, h = q + 2. Let s be (-1)\/4 - 7\/4. Let p be -1 + (s - -1)*1. Is p at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*w**5 - 3415*w**4 + 2*w**3 + w**2 + 13639 wrt w?\nAnswer: 120*w**2 - 81960*w + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c. Suppose c = -u - 2*u + 60. What is the lowest common multiple of u and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 59864.431 to the nearest 100.\nAnswer: 59900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-4 - 10) - -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.209 - 0.209131. Round l to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r**3 - 4*r**2 - 9*r - 14. Let z(c) = c**3 - c**2 - c + 1. Let t(q) = -u(q) - 4*z(q). Let y be t(-7). Sort y, -5, -3 in increasing order.\nAnswer: y, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 11. Let c(x) = x**3 + 8*x**2 - 11*x - 7. Let l be c(-9). Let n be d(l). Suppose -t - 2*t + 12 = n. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11863333?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/9 - 236*m\/9 - 80\/3.\nAnswer: 4*(m - 60)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 338357323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, l: 1, z: 1, j: 1, t: 2, d: 1}. Give prob of sequence ttz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -5, 83, -3 in increasing order.\nAnswer: -5, -3, 1, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62911*l - 62909*l + 125826*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13 (base 8) to base 9.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (658*x - 435*x + 365*x)*(-4 + 5 - 3) to the form j*x + w and give j.\nAnswer: -1176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1418124 divided by 177?\nAnswer: -8012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 11*u + 7*u - 2*u**2)*(0 + 0 + 1) + 0*u**2 - 3*u**2 - 6*u**2 + 2*u + 0*u**2 - u**2 - 5*u.\nAnswer: -12*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 37 = -2*u. Solve -3*r + u*z + 2 + 2 = 0, 2*r + 5*z + 14 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*x**2*y**2 + 3*x**2*y + 9*x**2 + 9*x + 6*y**4 - 4 wrt y.\nAnswer: -22*x**2*y + 3*x**2 + 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.52 + -2.52. Sort a, -0.177, -4, -2 in increasing order.\nAnswer: -4, -2, -0.177, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 5*b + 6. Let g be x(3). Suppose g = 29*n - 33*n + 1004. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**2\/3 - 16516*n + 49550\/3.\nAnswer: -2*(n - 1)*(n + 24775)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - 32*a + 31. Let i be c(31). Solve i = -10*p - 5*p - 75 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -42*10\/15 - -1. What is the remainder when 6\/(-27) + (-3057)\/r is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -642*l + 449*l - 672*l - 290*l as m + r*l and give r.\nAnswer: -1155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 - 42044*b**3 - 110921260*b**2 - 2310842100*b.\nAnswer: -4*b*(b + 21)*(b + 5245)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36, 9, 110, 273, 504, 809, 1194?\n\"Answer: v**3 + 22*v**2 - 28*v - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 - 7*i**2 - 17*i**2 to u*i**2 + l*i + d and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6)\/((-28)\/(-210))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -59, -1\/2, 3\/5, -3 in ascending order.\nAnswer: -59, -3, -1\/2, 3\/5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from izc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 1. Sort -0.3, -5, 1\/4, m in ascending order.\nAnswer: -5, m, -0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from oiooggeieeiigoe.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15452252.\nAnswer: 2, 17, 13367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c - 6. Let s be u(0). Let m(p) = p**3 + 9*p**2 + 8*p - 1. What is the units digit of m(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*b*f**4*l - 67*b*f**4 + 2*b*f**3*l - b*f*l - 19*f**2*l + f**2 wrt f?\nAnswer: 264*b*f*l - 1608*b*f + 12*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (12 + 1)) + (-45 - -47) - -33.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.25538063 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d32 + -3?\nAnswer: -d35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybbybxybbyubyybb. What is prob of picking 4 b?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -413 divided by 1\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9780333?\nAnswer: 3, 3260111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1029 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*u - 1, 1 = 5*u - y - 16. What is the third derivative of -3*l**2 - 13*l**3 + 4*l**u + 13*l**3 - 2*l + 35*l**3 wrt l?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 27 = -4*x - 173, -3*x - 129 = 4*d. Let s be 1272\/(-42) - 4\/(-14). Let g = s - x. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**2 - 192*w + 556*w - 10*w**4 - 184*w - 182*w to f*w**4 + p*w + z + a*w**3 + r*w**2 and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.3126 + 2.36. Let g = f - 0.052. What is g rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*i**2\/5 - 24031*i - 10013\/5.\nAnswer: (i - 10013)*(12*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t - 15. Let m be -4 + (11 + -2)*1. Let f be -2*m\/15*-3*1. Let j be n(f). Solve 3*h + 2*h - 3 = -2*c, 3*h + 4*c + j = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1341a4b + 76?\nAnswer: -1341995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 23 = l, -2*y = -4*l + 2*y + 68. Let a be (2*6)\/(8\/l). Calculate the greatest common divisor of 15 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 14*t**2 + 31*t - 42. Let n be r(-4). Sort n, -4, -3.\nAnswer: n, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53796318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18137 and 81992195.\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1102, -2309, -4322, -7141, -10766, -15197?\n\"Answer: -403*z**2 + 2*z - 701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, z: 2, u: 5, y: 2, o: 1, s: 1}. What is prob of picking 2 y?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l - 49. What are the prime factors of k(-15)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - 2*d - 4 + 0*d.\nAnswer: -2*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zpmd when four letters picked without replacement from zmpzpzgztdpzmpppt?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 393588 and 131196?\nAnswer: 393588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n - 13*n - 5*n + 2*n to the form i + h*n and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 3154197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11860?\nAnswer: 2, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 2. Let x = 2.2 + -2.1. Which is the nearest to x? (a) 1 (b) -4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 55 = -59, 0 = 5*f + 4*v - 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 44344024 (base 5) to base 10\nAnswer: 387389","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2492*g + 2781*g - 1354*g to the form y + q*g and give q.\nAnswer: 3919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 + 2)*((3 + 3 - 4)*(-4 + 3 - 2) + 4 - 3 + 2 - 1 - 4 + 6) + (1 - 4 + 0)*(-27 - 47 + 50))*(0*x - 2 - 2*x - x) to the form f*x + j and give j.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/9, -0.0068.\nAnswer: -4, -0.0068, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, q: 1, w: 2, a: 1, r: 5, x: 2}. What is prob of picking 1 x and 1 r?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2664407 divided by -37?\nAnswer: -72011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 299514882.2 rounded to the nearest one million?\nAnswer: 300000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 3*p**7\/70 - 5*p**4\/24 + 9*p**2. Find the second derivative of n(t) wrt t.\nAnswer: 108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1682890*y**4 - 6749304*y**2 wrt y.\nAnswer: -40389360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23462 - 5939 = 9*y. What are the prime factors of y?\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39663340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((z**(-2\/37)*z)\/z)))\/(z**(-1\/2)\/z)*(z\/z**(-6\/5))**(1\/20) assuming z is positive.\nAnswer: z**(5757\/3700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -467*o + 1452*o + 1308*o + 24941 = 2011 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 3016350?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70.3 - -33.1. Let f = -37 - u. What is the nearest to f in -0.1, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2*l + 245 + 115, 2*u - 2*l - 340 = 0. Let i = -19 - -37. Calculate the remainder when u is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a*c**3 - 2*a*r**2 - 3*a*r + 43*c**3*r**2 - 8*c**2 wrt c?\nAnswer: 6*a + 258*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**3\/10 - 2354*q**2\/5 - 14133*q\/10 = 0 for q.\nAnswer: -3, 0, 4711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 9*y**2 - 8*y + 8. What is the units digit of j(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*b = -82, -2*x - 2*b + 3*b - 40 = 0. Let l = 34 + x. What is the common denominator of (294\/l)\/(9\/(-2)) and 113\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = c - 35, -2*c + 70 = 3*z - 6*c. Let u(i) = 6*i + 29. Let h be u(0). Which is bigger: z or h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -2*t + 3*p - 2*p, 2*t = -5*p - 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 4*j - 4 = 0. Let i = -208\/255 - -14\/15. Are i and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 + (10 + -21 - (0 - -18))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 6*r**2 - 6*r - 1. Let s = -5 - 0. Calculate h(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**2 - 99*d - 29. Let u be b(23). Let t = -343 + u. Let k(s) = -s**3 - 2*s**2 + 5*s + 6. What is k(t)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*r - 29*r - 40*r + 141*r - 62*r.\nAnswer: -19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6871\/41442 + 6\/6907. Let i(h) be the second derivative of -j*h**3 + 17*h - 1 + 0*h**2 - 1\/20*h**5 + 1\/6*h**4. Suppose i(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4247521398?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*b - 4*b + 15*b)*(13 - 9*b**3 - 13) + 4*b**4 - 2*b**4 + 0*b**4)*(-1 - 1 + 4)*(6 + 0 - 4).\nAnswer: -460*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6731 and -1223?\nAnswer: -8232013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 52011*s - 173370. Let o(k) = 2*k - 6. Calculate -28895*o(d) + r(d).\nAnswer: -5779*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1276, 2556, 3836, 5116?\nAnswer: 6396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 72.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*a + 200 = -199*a. Solve b + 3*m - a = 0, m + 6 - 4 = -4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/2025)\/((-7)\/(-42))\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43821?\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 2)*(-46*v**3 + 58*v**2 - 58*v**2) as r*v + b + m*v**2 + z*v**3 and give z.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -172a41 + -6?\nAnswer: -172a47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.3 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45\/30 + 86\/4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**3 - x**2 + 65*x - 64. Let k be w(1). Let d(i) be the first derivative of 0*i**2 + 13 - 5\/3*i**k + 0*i. Let j(p) = -p**2. Give d(j(u)).\nAnswer: -5*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n - 1. Let u(h) = h**2 - h - 3. Let b be u(3). Let f be p(b). Let s be 3\/9 + f\/30. What is the smallest value in s, 0.5, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + u + 6. Let h be ((-3)\/2)\/(u + -5). What is the third biggest value in -4\/7, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 3*a + 3 = 0, 2*a = -10*d + 8*d + 18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = j - 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) 38 (b) -4\/7 (c) -3 (d) 5 (e) 0.18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33980 is divided by 8488?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 3*j + 4*j)*(3*j + j - 2*j + (-3 - 3 + 5)*(4*j - 4*j + j) - 4*j + 2*j + 4*j) + 2*j**2 + 0*j**2 - 4*j**2.\nAnswer: -11*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s + s)*(-5 - 2 + 6)*(-2*s**2 - s**2 + s**2)*(-23*s + 0 + 1 + 26*s).\nAnswer: 12*s**4 + 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 65844.\nAnswer: 263376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6734 and 185.621662.\nAnswer: -6548.378338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/1*3*31\/(-36735)?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2418093 is divided by 4955?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*h + h + 32 = 0, -5*h = 4*b - 77. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -194151*v - 257627 wrt v?\nAnswer: -194151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -265537814 and -0.5?\nAnswer: 132768907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + -9. Let r = -22 - j. Which is the smallest value? (a) 0.5 (b) r (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ya when two letters picked without replacement from {y: 9, x: 6, a: 4}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 29470?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*f**3 - 261*f**2 - 5526*f - 1365.\nAnswer: 3*(f - 35)*(f + 13)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4203\/58 - 1710\/29. Let g(x) be the first derivative of 14 + 2*x - k*x**2. What is the first derivative of g(c) wrt c?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1208 + 451. Let o = -494 - b. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 13*r**2 - r + 18. Let o be c(13). Suppose o*d - 2*d = 237. Let a = d + -53. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10813862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6\/40)\/((-12)\/(-192)) and 36\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1. Let m(h) = -2*h - 10. Let g(t) = -3*m(t) + 30*x(t). Let j be -3 - 4\/((-16)\/28). Suppose -j = -l, -2*a + 10 = -3*a + 3*l. Give g(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/308 and -31\/28?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4130 (base 10) to base 5.\nAnswer: -113010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15001 - 14999. Let n(z) be the second derivative of 0*z**q + 0 - 2\/33*z**3 + 1\/66*z**4 - 31*z. Factor n(d).\nAnswer: 2*d*(d - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-14))\/(30\/105). Solve -n*l = 3*l - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -4. Let j = k - -1. Suppose 8*w - 4*w = 8. Which is the closest to -0.03? (a) w (b) j (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1536 and 2714666?\nAnswer: 2084863488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3718 divided by -26?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -214, -408, -680, -1030?\nAnswer: -1458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03638892 to three dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -8. Suppose -s = 6*w - 7*w. Let t = w + -2. Put -3\/4, -4, t in descending order.\nAnswer: t, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14905 and 18157.\nAnswer: 998635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/4)\/(90\/(-60)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**6\/60 - i**4\/12 + i**2 - 7*i. Let p(j) be the first derivative of o(j). Find the second derivative of p(g) wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -40*y**2 + 7*y + 17. Let q(v) = 13*v**2 - 2*v - 6. Let f(b) = 7*q(b) + 2*s(b). Let l(m) = -4*m**2 + 3. Give 3*f(t) + 8*l(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 * 123.33187\nAnswer: -739.99122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13460)\/(-249010)*(6*(-5)\/(-45))\/(-1*2).\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (626\/(-2191))\/(80\/205 + 0) and (5\/4)\/(77\/4).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 8 = 2*g. Suppose -4*m - 2*r = g, -m = 3*r + 4 + 2. Suppose 4\/3*y**3 + 0*y + m - 2\/3*y**2 - 2\/3*y**4 = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3302551894 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 0 (c) 16 (d) 6.3 (e) 5 (f) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1200, -1201, -1202, -1203, -1204?\n\"Answer: -t - 1199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*s + 10, 0 = -4*s + 2*m - m - 15. Suppose 88 = -4*t - 252. Let q be t\/25 + (-2)\/(-5). Which is the second biggest value? (a) -4 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -141046 - -0.46092\nAnswer: -141045.53908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(-y - y + 0*y)*(-1 + 1 - 9*y) + 2*y**2 + 3 - 3.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32580 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -29 - (4 - (5 + -1)). Let w = -17 + p. Solve -3*t = -m + w, 5*t + m + 13 = -8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51.7 + -52. What is the nearest to -0.1 in 2\/9, 5\/6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 82*k**3 + 12*k**2 + 12*k + 12. Let q(b) = 33*b**3 + 5*b**2 + 5*b + 5. Suppose -39*s + 61*s = -264. Calculate s*q(i) + 5*a(i).\nAnswer: 14*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or 92\/25?\nAnswer: 92\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -102 - -120. Calculate the greatest common divisor of 9 and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 7*j**2 - 4*j + 1. Is y(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*2\/(-8)*-2. What is the smallest common multiple of 20 and -1 + 12\/2 + d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4042791 to the nearest integer?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -2*sqrt(3) + 2)**2 + 0 + (sqrt(300) + 1 + sqrt(300))**2 + -5 + sqrt(300).\nAnswer: 46*sqrt(3) + 1203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1433947\/96 + -14938. Let b = 6109129\/80 - 76363. Find the common denominator of c and b.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0524 or -1489.5?\nAnswer: -0.0524","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - -0.44. Let o = 5.84 - n. Let a = o - 4. What is the biggest value in a, -1\/5, 1\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2 - y**2 - 5*y - y**2 + y**2. Let d be l(-4). Factor -3*i + 6*i**2 - 2*i**3 + i**3 + 0*i**d - 2*i**3.\nAnswer: -3*i*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 11 + 102*o + 54*o + 69*o - 19.\nAnswer: 225*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5*i - 45. Calculate w(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*a - 8, -9*n + 3*a - 7 = -10*n. Suppose -3*g - z = -5, z + 15 = -3*g + 4*z. Let u = g + 0. Which is smaller: n or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 not equal to 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 - 8*s + 8*s - 1 - s**4 - 2*s + 2*s + (-4*s**2 + 4*s**2 - 2*s**3)*(-2*s + 0*s - s) + (0*s**3 + 0*s**3 + 3*s**3)*(3*s - 4*s - s).\nAnswer: -4*s**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/3*(-41)\/(-41).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 126 = 410. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g**2 - 603 + 603 + 15*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11150, 5 in ascending order.\nAnswer: -11150, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2464 + 8658. What are the prime factors of i?\nAnswer: 2, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - r**2 - 1. Let x be g(-2). Find the second derivative of 0*l**x + 2*l**3 - l**3 + 4*l + 0*l**3 wrt l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5391.5 - -0.03828.\nAnswer: -5391.46172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-425)\/(-15) + 2\/(-6). Let p = 37 + z. Let v be (3 - 2)*23 + 3. Calculate the greatest common divisor of p and v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147620937, 295241868, 442862799?\nAnswer: 590483730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(n + 0 + 0) + (0*n + 2*n - n)*(7 - 2 + 5).\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2799)\/(-4976))\/((-3)\/(-4))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/14)\/(0 + 1).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3) + 2012\/12. Calculate the greatest common divisor of z and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*8*(-1)\/2*139975\/(-67188).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 1:26 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 7. Suppose 14 = -p*a + 246. What are the prime factors of a?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - 1. Let w be (-2 - 0)*(-3)\/30. Which is the nearest to 3? (a) v (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1163 (base 8) to base 4.\nAnswer: 21303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 56634 - -2?\nAnswer: 56636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b + 4*b + b. Suppose -5*w = 2*r - w - 22, -3*r + 3*w = -6. Let i(n) = n - n - r*n + 2*n. Calculate x(i(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 7 + 2*r + 2*r**2)*(-79*r**2 - 177*r**2 + 67*r**2) to the form b*r**4 + a*r + y*r**2 + d*r**3 + u and give y.\nAnswer: 945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20855, -20769, -20625, -20423, -20163, -19845, -19469?\nAnswer: -19035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -375.5 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = 106 + 236. Let n = 14 - 5. Calculate the greatest common factor of m and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from {q: 3, w: 1, t: 3, p: 6, f: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 2*i**5\/5 - 2*i**3\/3 - 17. Find y, given that o(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, d: 1, o: 4, v: 3, e: 4}. What is prob of sequence nnvv?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-87355625)\/450125 - -194 - (-1)\/13?\nAnswer: 2\/277","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**4\/3 + 2*r + 58. Suppose 0*l + 2*l - 8 = 0. Let y(n) = 12*n**2 - l + 4. Determine y(x(h)).\nAnswer: 192*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 9 - 11 + 5*s - 4*s. Let g be i(-3). Which is the nearest to 0.1? (a) 0.17 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0007832 less than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1182.612312us?\nAnswer: 0.0000000019553775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*a**2 - 34*a**2 + 159*a**2 - 42*a**2 - 42*a**2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/26 + (-8)\/(-52). Let k be 2\/(-66)*333\/37 + 0. Which is the nearest to 1\/2? (a) 3 (b) k (c) q (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -10, -27, -5 in decreasing order.\nAnswer: 0, -4, -5, -10, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4956.\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 906750869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 58, 114, 208, 358, 582, 898, 1324, 1878?\n\"Answer: 3*z**3 + z**2 + 32*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -q - 5*l + 4, -5*q + 4*l - 144 = 0. Let z = -1 - q. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -23*b - 299. Let j(k) = 39*k + 597. Give -3*j(i) - 5*z(i).\nAnswer: -2*i - 296","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fspb when four letters picked without replacement from {a: 3, f: 6, p: 2, s: 2, b: 1}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**3 - 6. Let a(z) = 24*z + z - z. Determine b(a(k)).\nAnswer: 1728*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 192 - 193.9. Let r = 0.3 + -0.2. Let l = t - r. Which is the third smallest value? (a) l (b) -0.2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 3 - (-2 - 1). Suppose -2*u - 4*r + 25 = u, u + 4*r - q = 0. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -11*k**3 + 2024*k**2 - 7*k + 1310. What is o(184)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -26, -2, -6, 1 in descending order.\nAnswer: 42, 1, -2, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17040 + 9579. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005849 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3)*3*-5. Solve w*g - 5 + 25 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 104258493?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -2*f + 32 - 17\/2*f**2. Let h be m(-2). Calculate the greatest common factor of h and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1741898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -22057, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrgsgmmsgmmmrm. Give prob of picking 3 r.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -74*v + 12. Let i(t) = -147*t + 23. What is -3*i(u) + 5*z(u)?\nAnswer: 71*u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, v: 3, h: 3, s: 2, m: 1, z: 1}. Give prob of sequence vhhz.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3399060 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5388059 is divided by 305?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1183.00499 + 1183. Let z = 27.08999 + v. Let q = z + -27. Round q to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32948*h + 10959*h + 10973*h + 10982*h.\nAnswer: -34*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 196\/60 + 6\/(-10). What is the third biggest value in 0.01, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, k: 2, d: 1, f: 1, z: 4, q: 1}. Give prob of sequence dz.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + v**2 - v**2)*(0*v**2 + v**2 + v**2 - v**2 - v**2 + v**2 + (2*v - 3*v + 2*v)*(-2 + 2*v + 2)).\nAnswer: 6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 - 6*r + 3. Let q be p(5). Let w be (4*20\/32)\/((-1)\/q). Solve -h = -3*h - w*i - 3, -3*h = -i + 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -6*z + 22. Solve z*a - 4 - 16 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-1463)*11)\/((20\/56)\/1)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 74 = -5*a + 2*a, -5*a = 3*u - 58. Let v = u - -16. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 8*n**4 - 3*n**3 - 8*n**2. Let w(j) = -15*j**4 + 7*j**3 + 17*j**2. Let y(g) = 3*w(g) + 7*z(g). Find the third derivative of y(m) wrt m.\nAnswer: 264*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*(r\/r**(7\/8))\/r*r\/(r**(1\/2)*r))\/(r\/(r\/(r**(-25)*r))*r\/(r*r**(-13))) assuming r is positive.\nAnswer: r**(93\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**7\/189 - p**6\/135 + p**5\/90 + p**4\/54 - 5*p + 1. Factor l(g).\nAnswer: -2*g**2*(g - 1)*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 + 2*y**4 + 0*y**2 + (-3*y**4 + 5*y**4 + 0*y**4)*(-20 - 17 - 111).\nAnswer: -294*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19795 = -394*g + 11416 + 29071. Solve -125*l = -g*l + 56 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from aasasssaap.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 9*0.3722\nAnswer: 3.3498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 121.47 times 0.4\nAnswer: 48.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27654375, -27654376, -27654377, -27654378, -27654379, -27654380?\nAnswer: -27654381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 19 = 5*y, y - 13 = 6*y + g for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 347 + -346.761. Let u = x + -0.2935. Round u to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 151*n - 772. Calculate q(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59448, 118414, 177378, 236340, 295300?\nAnswer: 354258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -323, -651, -979, -1307, -1635?\n\"Answer: -328*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14a613a (base 11) to base 7.\nAnswer: -30563442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -16 - -20 - (-14 + -3)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + -5*sqrt(6)\/sqrt(2) - sqrt(33)\/((sqrt(11) + (sqrt(11) - sqrt(44)\/sqrt(4)))*5)).\nAnswer: -156*sqrt(3)\/5 - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*g + 5*g + 13*g in the form v*g + n and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 1. Let o(f) = -5*f**2 + 4*f + 11. Let l(q) = 6*m(q) + o(q). Let i be l(-5). Solve -3*r = -2*z - i, -5*z - 4*r = 2 - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3550*g**3 + 2*g**2 + 2*g + 9974 wrt g.\nAnswer: 21300*g + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (97\/6790*28)\/((-21)\/30*2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 53 + 47. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75123 and 459.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298 + 924*b - 3186*b + 298.\nAnswer: -2262*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94\/3, 0, 28, 4.\nAnswer: 0, 4, 28, 94\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.306 - 144.85.\nAnswer: -146.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -830 + 1413. Let g = n - 344. What are the prime factors of g?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1237 + 2093. Let c = -440 + x. Let b be 1*(-4)\/(-14) + c\/112. Solve -2*m - 7 = -5*o, -b*m - 4*o = -m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.058 and -0.334211.\nAnswer: 0.019384238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {v: 11, z: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320232202210 - 1?\nAnswer: 320232202203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15\/8? (a) 2 (b) 1 (c) -0.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h**5\/3 - 796*h**4\/3 + 25088*h**3\/3 + 719872*h**2 + 8945664*h = 0. What is h?\nAnswer: -48, -224\/13, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.38 (b) 20 (c) -0.5 (d) -18 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10319\/6 - -1726. Let t = 15\/2 - z. Let b = 73\/2 - 38. What is the closest to -4\/3 in b, 0, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 101, 126, 117, 62, -51, -234, -499?\nAnswer: -858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/13)\/(b**(-1\/5)\/b))\/(b**(-18)\/(b\/b**8)) assuming b is positive.\nAnswer: b**(803\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i. Let d(l) be the first derivative of -51*l**2 + 21. Determine d(f(x)).\nAnswer: -102*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-2\/17))\/l**(-6)*((l*(l\/l**(5\/12))\/l*l)\/l)\/l*l\/(((l*(l\/l**(1\/12))\/l)\/l)\/l) assuming l is positive.\nAnswer: l**(436\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 + t**2 - 3*t + 13. Suppose -3*s - 14 = -7*s + q, 5*q - 5 = -5*s. Let d(m) = -m**3 - m**2 + 2*m - 13. Let w(y) = s*d(y) + 2*z(y). Give w(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfb when three letters picked without replacement from {k: 1, f: 1, b: 1, q: 1, i: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (36\/45)\/(136\/(-340))*(-1)\/(-35)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1245486 and 370?\nAnswer: 230414910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4722 and -3?\nAnswer: -14166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + (1 - 0))*10. Suppose -g - 35 = -b. Suppose 49*v - 10 = 47*v. What is the greatest common divisor of b and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1124411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-10))\/(4\/10). Suppose -2*k + 10 = 3*k. Let u = k - 2. Which is bigger: u or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -6. Let b = 353 + -355. Sort n, b, -1 in descending order.\nAnswer: -1, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -378025*s**2 + 18*s - 35207351 with respect to s.\nAnswer: -756050*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 + 4*j + 1. Let v(m) = -1. Let h(c) = c - 1. Let t be h(2). Let s(k) = t*w(k) - 3*v(k). Let n be s(5). Is n less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2 + 14 = 0. Let b(x) = 10*x - 24*x - 4 + 5*x + 6*x. What is b(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 24*r + 1. Let t(d) be the second derivative of d**4\/6 - 66*d. Give t(k(l)).\nAnswer: 1152*l**2 + 96*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 289 = 4*y, -172 + 24 = -2*y - 4*i. Suppose -2*j = -p - 19, 4*p = p - 3. Calculate the highest common factor of j and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/576 and -51\/30903040.\nAnswer: 278127360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**4 + 3*w**4 - 4*w**4 + (w**4 - 2*w + 2*w)*(-2 - 3 + 4) + 0*w**4 - 10*w**4 - 14*w**4 + (-4*w + w + 5*w)*(-w + w + w**3) + 2*w**4 + w**4 - 2*w**4.\nAnswer: -20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 7*m - 7. Suppose -a = -k + 1, 2 = a - 2. Suppose -4*b - 29 = -5*w, -2*w + 29 = -k*b - 3. Determine n(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-139)\/11 - 2300\/6325?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 5*a**2 + 41*a - 32. Let g(z) = 2*z**2 + 14*z - 11. Let o(x) = -8*g(x) + 3*t(x). Let q be o(9). Let i = q + 2. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/3 in 2\/25, 14\/89, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 - 4*z**2 - 1902*z + 1895*z + 3*z**2 - z**4 - 5*z**4 to j*z**2 + c*z**3 + x*z**4 + i*z + w and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3641921, 7285864, 10929805, 14573744, 18217681, 21861616, 25505549?\n\"Answer: -f**2 + 3643946*f - 2024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-1 - 5)) + (1 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/7))**18\/((q*q**(1\/3))\/q**(-2\/13)))\/(q**(3\/10)\/q*q*q\/(q*(q\/q**(-4))\/q)*(q\/(q*q*q*q\/q**(-1\/6)))\/q**(4\/3)) assuming q is positive.\nAnswer: q**(16183\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 122.85 to the nearest integer.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24696*o**2 - 6669*o**2 - 29382*o**2.\nAnswer: -60747*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q + 0*q)*(-7*q - 2*q - 8*q + (6 - 3 - 2)*(-7*q + 3*q + 3*q) + 1 - 1 + q + (4 + 1 - 3)*(q - 3*q + 0*q) + 2*q - 4 + 4).\nAnswer: -38*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 96794 take away 689.2419?\nAnswer: 96104.7581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2430.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23912 = -938*f - 3276 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 + 7*q - 2. What is z(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 271.09 + -272. Let w = 10.09 - r. Let m be (-3 - 82\/(-27))*6. What is the second smallest value in w, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10950981*j**4 - 13*j**2 + 20*j - 14228.\nAnswer: -262823544*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2*r - 3*r**3 + (17 - 17 + 14*r)*(124*r**2 - 80*r**2 - 100*r**2))*(-4*r**2 + 6*r**2 - 4*r**2).\nAnswer: 1574*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*o**4*w**2 - 29759*o**3*w**3 - 101232*w**3 - w**2 wrt o?\nAnswer: 20*o**3*w**2 - 89277*o**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -235 or -236?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 3, 3\/7, 0.06, 7, -2\/5579, 0.2, -0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, p: 2}. Give prob of picking 2 b and 2 p.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b**3 + 29*b**3 - 38*b**3 + 8*b**3.\nAnswer: 19*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of c**5 + c**2\/2 + 5. What is the second derivative of u(r) wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 3*k + 21 = 0. Let x be 3*3\/(-9) - k. Solve -2\/3*p**x + 8\/3*p - 8\/3 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 24*q - 116, -37*q + 0 + 40 = -5*k - 12*q - 13*q - 17*q for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 3 + (-19 - -8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 81*a**2 + 12482*a + 12492. What is h(79)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11066053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2. Let c(g) be the second derivative of -7*g**4\/12 - 5*g + 3. Give c(t(n)).\nAnswer: -7*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -2\/31905767?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1603150276 - -0.4\nAnswer: 1603150276.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 4. Let u be p(-4). Let q(i) = 12*i - 3 - 11 + 2 - i**2. Calculate the lowest common multiple of q(u) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tcczttcztcttzzccct. What is prob of picking 1 c and 1 z?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 + 12*t - 4. What is i(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1851.1806 milliseconds to minutes.\nAnswer: 0.03085301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 9 = -w. Calculate the remainder when 35 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -883*m**8\/336 + m**5\/30 - m**4\/12 + 640*m**3\/3 - m**2 + 2338*m. Find the second derivative of v(q) wrt q.\nAnswer: -17660*q**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) + (-8)\/32. Suppose -g + 13 = 3*r, 2*r - 8 + 2 = v. Solve -2*b + 2 = 5*d - 28, 0 = 2*b + g*d - 26 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1704495 and 520?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19320)\/(-700)*5\/6.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r - 102. What is h(16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1160 is divided by 224?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (224\/(-64))\/(2\/(-1))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 5:46 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.73 - 0.43. Let f = u + -3.30364. Round f to four dps.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1911 and 85085.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 - -124. Let h = 220 + c. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 381625517 by 13897.\nAnswer: 27461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 331299 to the power of 1\/2, to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2008)\/(-5) + (1 - (-8)\/(-5)). Let g = 253 - w. Let i = g - -347. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(513) + sqrt(513)*1)\/sqrt(9))\/sqrt(3))**2 - (sqrt(1900) + -1 + sqrt(1900) + sqrt(1900) + -4).\nAnswer: -30*sqrt(19) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0\/r*r*(r*r**(-3))\/r*r)\/(r**(2\/3)*r\/(((r**(1\/6)*r)\/r)\/r))*(r**(1\/3)\/(r\/((r*r**2\/r*r)\/r)*r))**(-2\/15) assuming r is positive.\nAnswer: r**(-409\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/10*(-20)\/(-2). Let j = -4 - 0. What is the common denominator of 39\/5 and (v\/2)\/(j\/(-13))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 405 - 404.7. Which is the nearest to y? (a) -1\/3 (b) 2\/3 (c) 5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 20*q**3 - q**2 - 21*q + 52. What is the tens digit of w(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*15\/10*22\/(-33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-10626)\/(-10) + (-574)\/(-1435)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 m when four letters picked without replacement from oencccmomcnoonnce.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3113 and 208005?\nAnswer: 2288055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/5, -52277\/3, -1.7?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*f**2 - 100*f**2 + 181*f**2.\nAnswer: 45*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-112)\/78 + 6\/9. Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h + 41. Give m(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 - 720*g + 64800.\nAnswer: 2*(g - 180)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*m + 302*m + 92070 = 966*m + 1094*m for m.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628.353 years in centuries?\nAnswer: 16.28353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**5\/180 - 5*d**4\/72 + d**3\/3 + 79*d**2\/2 - d - 38. Let f(c) be the first derivative of s(c). Factor f(b).\nAnswer: (b - 3)*(b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -238 (b) 622 (c) 0.63 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14014671, 14014709, 14014747, 14014785, 14014823?\n\"Answer: 38*q + 14014633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -150701.1 * 22\nAnswer: -3315424.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**2\/(x\/((x*x**(2\/9))\/x))*(x\/(x**(1\/5)*x))\/(x**1*x) assuming x is positive.\nAnswer: x**(-44\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 219*k + 226*k + 57, -k = -3*n + 71. Let c = 2 - -30. Calculate the greatest common divisor of n and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 12:09 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 2 - 7)*(1 - 1 + f)*(-2*f**2 + 3*f**2 - 3*f**2) - 61*f + 20*f**3 + 61*f.\nAnswer: 48*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 28*j**2 - 503*j - 38. Let n be v(18). Which is the biggest value? (a) -2\/11 (b) -137 (c) n (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4323*q - 24185. Give v(6).\nAnswer: 1753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86380621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 1:54 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a5e + ac?\nAnswer: b0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/(-18))\/((-120)\/(-270)) - 2. Which is bigger: -792 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-1)\/(-5))*558\/(-3348)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 + 18*x + 4. Let v be r(9). Suppose a + v*a - 10 = 0. Let h(t) = -19*t**a - 270*t + 270*t. Let f(o) = o. What is f(h(d))?\nAnswer: -19*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2609704595 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9800)\/(11 - 3))\/1. Is -0.1 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -10*c + 2*c - c**2 + 0*c**2 + 0*c**2. Let l be v(-7). Suppose -l*w = -3*w + z + 5, 15 = w - 3*z. Solve -x - 5 = -w*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14104409?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 550.7 - 551. Sort 1\/4, -26, 3, z in ascending order.\nAnswer: -26, z, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y + 2559 = 237*y + 128 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*s + 1580 - 897 + 1539 = 0 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10515*9.17.\nAnswer: -0.9642255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 13 - 23. Suppose -19 - 1 = -n*s. What is the third derivative of 7*o**2 - 9*o**2 - 6*o**4 + s*o**2 wrt o?\nAnswer: -144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3fe9 + -e?\nAnswer: 3fdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + -2 + 3 + 2. Let y be 9\/(63\/28)*(2 - 1). Suppose l = 6*o - 26 - y. Solve o*r - 2 - 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -283 - 2*m**3 + 283 + 2*m**2 - 7*m to y*m**3 + c + h*m**2 + x*m and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) + sqrt(112)\/(4*sqrt(2)))\/sqrt(8).\nAnswer: 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 62299895 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95204?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 118 + -245?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/12)\/((-2)\/8). Suppose -3*c + 13 = n. Calculate the remainder when 9 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42552*y = 42503*y + 882 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.3 + 5.3. Let r = 300 - 298. Which is the smallest value? (a) s (b) -3\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8 + 9 = -2*p, 0 = 2*p - 5*d + 21. Let j(z) = 2*z + 17. Let b be j(p). Calculate the remainder when 16 is divided by (-28)\/(-5) + b\/(20\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4752)\/(-396) + (2 - 1416\/84).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1473*x - 2891*x - 1 + 1427*x. Let q(v) = 22*v**2. Calculate z(q(s)).\nAnswer: 198*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 25*l + 78. Let q be d(14). Let w be 19\/q + (-4988)\/(-19824). Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2536 or -145?\nAnswer: -2536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 - a**5 + 0*a**3 + (8*a**2 - 3*a**5 - 8*a**2)*(-4 + 0 + 3).\nAnswer: 2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -86510?\nAnswer: -86511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -422, -3391, -11470, -27215, -53182, -91927, -146006?\n\"Answer: -426*i**3 + i**2 + 10*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 15) to base 2.\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -22. Let v = q - -1. Suppose 32 = z - 2*k - 19, -193 = -v*z - 4*k. Calculate the remainder when z is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0\/z*z)\/z**(-6)*(z**(1\/4)*z)**10 assuming z is positive.\nAnswer: z**(37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/172788 and 129\/205700.\nAnswer: 4319700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19a04 (base 13) in base 4?\nAnswer: 30031230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 17*b**2 - 14*b. Let o(j) = -8*j**2 + 7*j. Let a(i) = 4*i**2 + 15*i - 4. Let n be a(-3). Give n*o(t) - 6*d(t).\nAnswer: 2*t**2 - 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sof when three letters picked without replacement from osotsofufbfoootsuofo.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4163 and 1725?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1133540\/(-120)*2*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -72*n**3 - 3*n**2 - 121*n + 76. What is the ten thousands digit of l(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 352410030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**7\/70 + 75*w**6\/2 - 84375*w**5\/2 + 52734375*w**4\/2 - 19775390625*w**3\/2 - 2017*w**2. Let j(p) = 0. What is p?\nAnswer: 375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**3 - 3*i**2 - 3*i + 2. Let p be n(2). Suppose -17*w + 484 = -p*w. Suppose -2*m + 2*g = -328, -3*m + w = -7*g + 2*g. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/133328 and 1\/4624?\nAnswer: 38531792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 4:16 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 + 20709. Let r(z) = z. Give l(r(c)).\nAnswer: -3*c**2 + 20709","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 152659 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, b: 4, h: 3, e: 5}. What is prob of sequence ey?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.39696 times -4806\nAnswer: 1907.78976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (705 - 546 - 729)*(-1 - h**3 + 1) + 3*h**3 + 5*h**3 - 6*h**3.\nAnswer: 572*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5765 divided by 1153.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.228 + 1.034. Let s = -0.006 + j. What is the smallest value in -5, -4, 5, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 390*v - 392*v = -4. Suppose 5*b = f - 16 + 3, 4*b + 2 = -2*f. Differentiate 19 - f - 10*c**3 - v*c**3 with respect to c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -23*d**4 + 75*d**3 - 85*d**2 + 16*d + 10. Let a(g) = g**4 - g**3 + g**2. Let n(x) = 14*a(x) + 2*t(x). Find w such that n(w) = 0.\nAnswer: -1\/4, 1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5966 and 37392?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 4 = 11*t. Suppose -5*s + t*s + 78 = 0. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1.5. Let f be (-10)\/15*15\/(-2). Which is the closest to 0.1? (a) f (b) -5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -184*b**4 - 2*b - 457.\nAnswer: -736*b**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + 14 + (13 - -32 - 101)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1479 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owmmooymww. What is prob of picking 2 w and 1 o?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019 a factor of 126579740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/((-36)\/(-21)) - 1. Let k be (8\/(-42))\/(7\/(-21)). Which is the nearest to 0? (a) -3\/5 (b) s (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -873\/268 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 47586 divided by -15862\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2 + 2)*(-109 - 131 - 76).\nAnswer: -632*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (261\/(-22))\/(-9) - 6\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/155484 and 13\/4392.\nAnswer: 18969048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490 a factor of 162934480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 2 c, and 1 b when four letters picked without replacement from {u: 3, c: 3, h: 1, b: 1, x: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127123064.\nAnswer: 2, 31, 512593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 25945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/27)\/y**(-26)*(y\/((y*y*y**(-10)*y)\/y*y))**(1\/9))**9 assuming y is positive.\nAnswer: y**(728\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 - 974 - 784 - 2*r**3 + 428.\nAnswer: -2*r**3 - 1330","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 5, -1.6, 1496?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*h**3 + 446*h**2 + 2170*h - 2622.\nAnswer: 2*(h - 1)*(h + 69)*(3*h + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -473.43 at least as big as 81.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.99874 + 21. Round h to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.1 (c) 0.15 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5 - 8*h**2 + 2 - h**3 - 7 - h. Let t be l(-8). Let n be (3\/(-3))\/(t + 1). Solve 3*z = 4 - n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5*z = -1597, 4*g + 6*z = 2*z + 2172. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 4*u**2 - 248*u + 1578. Calculate r(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, q: 2, j: 2, b: 6, v: 1}. Give prob of sequence sqq.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 0.1, -5422, 68, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 + 46. What is the remainder when z is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2733 * -5\nAnswer: 13665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1612\/325 + -5 + (-15288)\/3675?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*d**2 + 29*d**2 - 65*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 670*c - 920*c - 2165*c + 1)*(-c**2 - c**2 + 0*c**2).\nAnswer: 7510*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1321123121103 - 12?\nAnswer: 1321123121031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 2289?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -5. Let z be 3\/n - (-86)\/30. Let o(x) = -x**3 + 3*x**2 + 5*x - 2. Let t be o(4). Which is the nearest to -1? (a) t (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 4*u**2 + 16*u - 8. Let x be c(-8). Let j be (-483)\/(-24) - 15\/x. What is the greatest common divisor of j and 800?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 10*r - 12. Let b be j(6). Let s = -24 - -36. What is the highest common divisor of s and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -331301000 (base 5) to base 7\nAnswer: -15111051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 5*c - 30, 0 = -4*v - 0*c + c + 38. Calculate the remainder when 47 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*b - 353 + 366, -b + 3*a + 1 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-4 - -3) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.016676 - 0.01769165. What is v rounded to 5 decimal places?\nAnswer: -0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22561*q**5 + 36709*q**2 wrt q?\nAnswer: 1353660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4*l + 549 = 529, -f + 2*l = -8. Solve 26*s - 31*s + 20 = f*g, -s + 5*g = -4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/12 + 2\/6. Let x = 0.291 + 0.109. Let k(t) = -t**3 - 3*t**2 - 4. Let z be k(-3). Sort q, z, x in ascending order.\nAnswer: z, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -16*k + 50. Let r(n) = 7*n - 22. Let a(d) = -7*r(d) - 3*w(d). Let z(g) = g - 1. Let p be z(4). What is a(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**3*v*v\/v**(2\/15)*(v*v*v\/(v\/(v*v**1)))**24*(v*v\/(v**(-1\/4)*v)*v)**48*(v**(-1\/4))**(-43\/5) assuming v is positive.\nAnswer: v**(12661\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 333*f*q**3 - 4*f*q**2 - 23*f*q - 3*f wrt q?\nAnswer: 1998*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(4\/15)\/l*l*l*l*l**(1\/12) assuming l is positive.\nAnswer: l**(47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from {n: 7, s: 1, v: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (64 + -145 + -2 + 12 + 3).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1458.169 - -1459. Round w to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5\/4 + 369*x**4\/4 - 3915*x**3\/4 + 9975*x**2\/4.\nAnswer: 3*x**2*(x - 5)**2*(x + 133)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3318, 6556, 9794, 13032?\nAnswer: 16270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*s**3 + 2*s**3 - s**3)*(1 + 6 - 3) - 3*s**3 - 2 + 2 in the form m*s**3 + r + t*s**2 + l*s and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -808\/7, -2\/57?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22866556.\nAnswer: 2, 5716639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*(-6392)\/(-111860)\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 10 = 14*g + 5*o, -5*g - 4*o + 12 = 0. Solve -k + 6 = g*s, -4*k = -5*s + 9 + 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 171 = -0*w. Let s = 1 + 18. What is the greatest common factor of s and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 139317, 278610, 417903?\n\"Answer: 139293*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 279 and 13206.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k - 1. Let f be z(-1). Suppose -3*u - 48 = -0*i - f*i, -u + 12 = i. Is 9 a factor of (-6)\/(-21) + 206\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiqzqtbt. What is prob of picking 1 t and 1 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*q = 37, 0*g + 4*q = g - 17. What is the units digit of (-8)\/(g + (-4)\/(-4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**3 + b**2 - 7*b - 16. Let l be n(6). Let q = l - 416. What are the prime factors of q?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 3:39 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000010111 (base 2) in base 11?\nAnswer: -872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*p = 5216923 - 5214019 for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23831 + 23879 - (-3 + 2 - -36).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -118 + 245. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 minus 6166447?\nAnswer: -6166476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1352*o - 1151*o. Solve o = 2*f - 2, z + 14 - 17 = -5*f for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-336)\/(-20))\/7)\/(6\/10). What is the greatest common divisor of 256 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3898183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 53, -3992, 0 in ascending order.\nAnswer: -3992, 0, 17, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 10:53 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 + 2*j + 2. Let h be a(2). Let m = 5.13 - 0.13. Let u be (3\/3)\/(2*(-11 + 0)\/22). What is the nearest to -0.2 in m, h, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174982641?\nAnswer: 3, 1049, 55603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/3)*p)**(13\/3)\/(p**2*p*p*p\/(p*(p\/(p*p**(-2\/5)))\/p*p)) assuming p is positive.\nAnswer: p**(358\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**3 + 15*s**2 - 120*s + 797. Determine m(9).\nAnswer: -1984","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8, -4, 0, 4?\n\"Answer: 4*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55\/(-22)*2*-331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 85 - 38 = 0. Let t = 1171\/9 + f. Calculate the common denominator of -22 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4\/20) - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.025, -2.703, 2, -5?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*h + h + 4*h)*(-59 - 1457*h + 2427*h - 1010*h) in the form w + o*h + i*h**2 and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -12, 5, -1905, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3582041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 5*i + 25. Calculate the remainder when 487 is divided by i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010010000010110 (base 2) to base 4.\nAnswer: 122100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -123 - -245\/2. Let j = 2\/11 + 0. Suppose 0 = 2*p - 0*p - 10. Which is the closest to z? (a) 0.5 (b) p (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7244 - s**3 - 9041 - 2*s**3 + 5*s**3.\nAnswer: 2*s**3 - 16285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7351, -7535, -7841, -8269, -8819, -9491?\n\"Answer: -61*c**2 - c - 7289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 94073.51t in milligrams?\nAnswer: 94073510000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/90*1 + (-2132)\/(-5070)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(68)*4)\/(sqrt(4) - (sqrt(4) - sqrt(4)*-2)*1 - sqrt(48)\/(sqrt(24)\/sqrt(2))).\nAnswer: 16*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 28 = x - 4*y, x + 2*y = -6. Let i be (-2)\/x + 99\/6. Solve 4*s = -4*q + i, s - 6 = -3*q - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -8174668?\nAnswer: -8174668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 2c239?\nAnswer: -2c236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 6545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1751 and 7?\nAnswer: 12257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.1 + 0.1. Let m = 6.02 - -1.18. Let d = -4.2 + m. What is the closest to r in 2, d, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-161)\/(-230)*(-48)\/(-42)*2\/16?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*-7.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 3) to base 8.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30021919*u**5*x**2 - 334*u**2*x**2 - 3186*u**2*x - u**2 - 2*u*x**2 + 2*x**2 wrt u?\nAnswer: -1801315140*u**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w - w - 7*w - 12*w**2 - 9*w - 12*w.\nAnswer: -12*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -621 + 913. Suppose -3*k + 2*k + r = 0. What is the remainder when k is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -47?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 334 (base 16) to base 10\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/2349 and -93\/18908.\nAnswer: 1531548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 9 + 27 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.50304 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7965?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwapjkkkkpwwkwkk. What is prob of sequence aj?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + 7. Let z(r) = 9*r**2 - 7*r + 13. Let y be z(2). What is the greatest common divisor of y and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by ((-107910)\/(-5445))\/((-4)\/(-22))?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m - 6 + 9366*m**3 - m**4 - 4682*m**3 - 4685*m**3 + m**2 as c + q*m**3 + u*m**2 + a*m + n*m**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/7 - (-3)\/1. Suppose t*k = -0*k. Suppose k = 4*c + 4*j - 4, 5*c + 0*j - j = 35. Let b(n) = -n**3 + 7*n**2 - 6*n + 3. Calculate b(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5135 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 0*a**2 - 1\/3*a**3 - 1 + 0*a. Let w(l) = -5*l. What is w(o(k))?\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 460276929*v**5 + 716793816*v wrt v.\nAnswer: 9205538580*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*l**2 + 13*l - 6*l - 18*l wrt l.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(3\/7)*n**1)\/((n*n\/(n*n**(-1\/2)\/n)*n)\/n**(-4\/5)) assuming n is positive.\nAnswer: n**(-131\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 34*b - 211. Determine t(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 16*k - 11*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1011*o**2 + 11*o + 2057*o**2 - 1025*o**2 - 4*o + 4*o - o**2 + (6*o - o - 4*o)*(o - 3*o + 6*o).\nAnswer: 24*o**2 + 11*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-2) + (-41)\/(5740\/720)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.3. Let p be 8\/(-6)*(-6)\/28. Put 2, l, p in ascending order.\nAnswer: l, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 6*y - 5. Let q be o(-7). Determine m so that 0*m**2 - 2*m + 6*m - 2 - q*m**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/286800 and 53\/1800.\nAnswer: 860400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1732184?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*u - 3*v + 56, -4*u = -v - 109. Solve u = 9*a + 63 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8986 rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**2 + 575*h + 1130.\nAnswer: 5*(h + 2)*(h + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -5*z + 5, 6 = -3*m + z + 3*z. Let n(i) be the third derivative of 0 + 0*i**3 + 0*i - 5*i**m - 1\/6*i**4. Let h(o) = -o. Give n(h(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -13. Solve -11 - 1 = -b*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2937970 and 218785?\nAnswer: 20565790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1126223 minus -204?\nAnswer: 204.1126223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 43*l + 10. Let d(f) = 37*f + 21. Give 2*d(s) - 3*r(s).\nAnswer: -55*s + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -965 = 33*y + 857 - 2185 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.67 - -4.66999743. What is n rounded to seven decimal places?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 484*v - 227*v + 7 + 496*v**2 - 256*v + (0*v + v + 0*v)*(-v + 0*v + 4*v).\nAnswer: 499*v**2 + v + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 - 212?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1971063 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 41?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1606611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (140\/(-5) - -5) + 2. What is the remainder when -3 + t\/(-35) + (-617)\/(-5) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0*3\/3)\/(-2). Suppose 3*n - 8*n = -4*m - 63, p = -5*n - 5*m + 45. Let l = 19 - n. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 + 30*o**3 - 72*o**2 - 30*o + 75.\nAnswer: -3*(o - 5)**2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 4 + 3)*(2 + 2*w - 2).\nAnswer: 52*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8282 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.923633 centuries in millennia?\nAnswer: 0.8923633","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3267523417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + b + 6. Let p = 2 + -2.2. Sort 2\/15, b, p.\nAnswer: b, p, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-8)*10\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l**2 + 51*l - 529. Let r(u) = -u**2 - u. Suppose -286*f + 288*f = 2. Let o(z) = f*m(z) + 5*r(z). Find p such that o(p) = 0.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260 = 5306*s - 5293*s for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/7 - 3)\/(9\/(-42)). Solve -4*s = 3*y + y + x, -3*s = 2*y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3651 and 9?\nAnswer: 10953","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -300 (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43954003 to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 348 + -206. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 8 = 3*o - 0*i, 0 = 5*i - 20. Let s = -30 + 29. What is the second smallest value in -3, o, s, 2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 51 = -2*p, o - 5*o = p + 42. What is the common denominator of (-8 - 0) + 8471\/903 and 2\/p*83 + 1?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*o**5 - 3*o**3 + 416*o**2 - 24*o + 64 wrt o?\nAnswer: 40*o**3 - 18*o + 832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -38. Is -4\/13 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.243 + -0.19. Let g = 1.947 + h. Which is the fourth smallest value? (a) 0 (b) 2\/15 (c) g (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in -3, 0.0508, 0.39?\nAnswer: 0.0508","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 24*r**2 - 14*r + 75. Give x(-24).\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -33. Sort 2, j, 1.\nAnswer: j, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*h = 3. Let v be 30\/(-16) - (4 + -6). Which is the biggest value? (a) -0.4 (b) v (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 18. Let t = -5 + p. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*((-2)\/8)\/((-42)\/56)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*i - 32 = -i + 33. Let x(p) = 82*p - 74. Give x(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 1:42 AM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 570620960317 less than -0.5?\nAnswer: -570620960317.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9608, -13328, -17048?\n\"Answer: -3720*q - 5888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9067 - 6434. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(4\/(-5))*65\/((-4550)\/(-112))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127\/28 + -30\/7. Which is the second biggest value? (a) 0 (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3, 2, 2\/21, -0.5, 0, -902, -19\/2?\nAnswer: -902","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 8. Let m be (p\/4)\/(21\/(-56)). What is the remainder when 35 is divided by 1*(m - -1) - -12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5, -4, -5, -8, -13?\n\"Answer: -w**2 + 4*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 148*a + 640.\nAnswer: 4*(a - 32)*(a - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a decade in years?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 674 + 461 + h - 151 + 742 in the form z*h + x and give x.\nAnswer: 1726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3 + -1 - 0) + -6 - (-161 + 144)) + -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence do when two letters picked without replacement from ggxixiidiog.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1029 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 147107840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78244, 157331, 236418?\nAnswer: 315505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 165061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen halves of a centimeter?\nAnswer: 85000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15 + (-1 + -2 + 7)*-1. Let y = -24 - d. Let k(c) = -c - 8. Give k(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-6)\/(-20))\/((-3)\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5 + 0 - 2*n + n wrt n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*i**2 + 107*i**2 - 2*i**3 - 24*i**2 - 161*i**2.\nAnswer: -2*i**3 - 264*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -i - 7717, 2*c = 4*i + 3992 - 144. Round c to the nearest one hundred.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -24*j + 3. Let i(f) = -2*f - 27. Let h be i(-14). Let o be 2\/6*h*(-12)\/4. List the prime factors of p(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1724e (base 16) to base 13\nAnswer: -341c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 17?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 7*z**2 + 6*z + 1. Give t(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -2739.\nAnswer: -1\/2739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 4 - 7*y)*(12 - 12 + 13*y**3 - 58*y**3).\nAnswer: 315*y**4 - 135*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-1649 + 1746 - (-14 + (1 - 2)))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3670 + -3666. Is -2\/9 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 14 = 2*l, 2*l - 3*b - 12 - 7 = 0. Let x be (1 - 1)*(-1 + 0). Suppose x = -5*y + l*y + 15, 2*q = -4*y + 26. Sort 5, -0.3, q, 1.\nAnswer: -0.3, 1, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/50 and 17\/25.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/3)*g*(g*g**(-1\/13))\/g assuming g is positive.\nAnswer: g**(23\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 7:32 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (81 - 100 - -27 - (28 - 2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - t + 4*t = 1, 0 = 4*d - 4*t - 4. Suppose -8\/7*s**4 - 4\/7*s + d*s**2 + 10\/7*s**3 + 0 = 0. Calculate s.\nAnswer: -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134 - -133. Let l(c) = -113*c**3 - 2*c**2 - c. Let i be l(n). Suppose 6*a = 14 + i. Calculate the remainder when 39 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-414)\/72)\/(2\/(-16)). Let g be (-10)\/50 - (-198)\/(-10). Let c = j - g. Calculate the greatest common divisor of 22 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 3000000. Suppose 3*p = z + 3, 2*p + 0*z - 5*z = 15. Let t be c(p). Round t to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63474 < -63475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/2*1524\/508?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1302732 and 50806548.\nAnswer: 50806548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -20 + 31 - (12 - 1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/3 + 4*p**2\/3 + 26*p\/3 + 20\/3.\nAnswer: -2*(p - 5)*(p + 1)*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 326776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/442151603 and -14\/5.\nAnswer: 2210758015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3.5. Let i = 14.8 - -4.2. Let f = i + -18. What is the nearest to 0 in 0, s, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 11143446.\nAnswer: 5571723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k - 5*k - 6*k**2 + 16*k**2 - 4*k.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1 - 7 = 0. Let k be (4\/(-3))\/((-1)\/s). Solve -a + 14 = 5*x, -3*x - 5*a = -0*x - k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 + 5*f - 2*f**3 - 8854*f**2 + 8854*f**2 - 5*f.\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291 = -25*g + 59 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**3 - 11*o**2 + 2*o - 44. Let c be y(6). What is the second biggest value in 0.3, 10, c, -2\/19, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 43. Calculate the greatest common divisor of 56 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6*g = 0. Suppose 2*w - w - 21 = g. Suppose 3*p + 3*l = 489, 5*l = 9*l + 20. What is the highest common divisor of w and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.54, -1, -6\/7, -7\/43, 1\/8.\nAnswer: -1, -6\/7, -0.54, -7\/43, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3\/4 - 52036673*a**2\/4 + 225651269402965*a\/4 + 75217095582841\/4.\nAnswer: (a - 8672779)**2*(3*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2237537?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -44402*k**3\/7 - 216061324*k**2\/7 - 5800280*k\/7 - 38928\/7 = 0?\nAnswer: -4866, -2\/149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.43 - 1.43. What is the biggest value in r, -0.09, -2\/15?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -5, 18.\nAnswer: -5, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p\/((p\/((p*p**11*p)\/p))\/p))\/p*p*p)\/(p**(-2\/77)\/p*p) assuming p is positive.\nAnswer: p**(1157\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 465, 1, -5 in descending order.\nAnswer: 465, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 124862391 and 4374?\nAnswer: 2187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 59, 137, 267, 449, 683, 969?\n\"Answer: 26*c**2 + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3619 = -4*t + 2195, 2*t = 2*x + 2922. Let j = t - 711. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a milligram in micrograms?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-1\/3)\/h)\/h)**19)**(3\/19) assuming h is positive.\nAnswer: h**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*q - 4*q**3 - 48*q - 59*q - 44*q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 2*x + 5*m, -94*x - 87*x = 92*x - 277*x + 11*m + 125 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.462 + -30.\nAnswer: -31.462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p - 4 + 0 + p + (5 - 1 - 3)*(-3*p - 9*p + p).\nAnswer: -13*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t + 40*t - 26*t - 7*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*-1*1\/2. Suppose h + 1 = c. Solve 5*l + 31 = -0*l - 2*n, 4*l - c*n = -14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v**(4\/7)\/v)))\/v)**(1\/34) assuming v is positive.\nAnswer: v**(-5\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 18. Suppose 2*n = 7 + s. Let h = -9 - -15. What is the smallest common multiple of h and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from diirii.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 9113*i - 4561*i = 3*b + 4559*i - 53, 0 = -3*i + 4*i - 5 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -32976, -5, -16 in descending order.\nAnswer: -5, -16, -32976","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -124109000 to the nearest one million.\nAnswer: -124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1642195 less than -0.2?\nAnswer: -1642195.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 - -24?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1022326202?\nAnswer: 2, 79, 6470419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -0*n - n - 17, 3*w - 15 = 0. Let z = 512 + -508. Put -2, z, n in descending order.\nAnswer: z, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3514138t in micrograms?\nAnswer: 351413800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66847507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 + 151*c - 956. Let y be j(6). Solve -y*s = -6*s - 64 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32267 - 32252. Suppose 2*c - 4 = 4*c. Put 0.01, c, x in descending order.\nAnswer: x, 0.01, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -o, -3*s - 4*o - 19 = -2. Calculate the smallest common multiple of 6 and 41 + (s + -8)*(-42)\/(-147).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6 - 49*x + 15*x + 15*x + 16*x. Give m(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.059 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381135 is divided by 125379.\nAnswer: 4998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10758599 is divided by 2689642?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/6 and -9\/166.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 108238 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 138920425027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q - q**2 + 1 + 0*q + q**3 + 0*q**2 + 3*q**2. Let b = 13 - 9. Suppose -b*l - 1 = 3. Calculate t(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + (0 - 1) - 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2069389354.\nAnswer: 2, 37, 461, 60661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o - 5*o**2 - 2 - 4*o**3 - o - 4 + 3*o**3. Let u be g(-6). Solve u*q = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51 less than or equal to -58?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -4 - 2 + 2 + 3. Let t = 201 - 111. Let v = -96 + t. Let p(a) = -a - 8. What is v*g(k) + p(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*x + 7860 = -152*x - 113*x for x.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -29*a - 11036. Is -2\/3 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: f8fef (base 16) to base 3\nAnswer: 1220211000121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12)\/(((-20)\/12)\/5).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -35871\/10 at most -3587?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 60*j**2 + j**3 + 0*j**3 + j - 150*j**2 + 25 + 90*j**2. Give y(0).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + (-23 - 29) + 39\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - o**2 - 5. Let g(x) = -x**2 + 7*x. Suppose 14*i - 7*i = 28. Suppose -3*u + 2 = 2*h - 9, 0 = -i*u - 5*h + 3. Let a be g(u). Give y(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(1575) - (sqrt(378)\/sqrt(6) + 3)) + ((-1*sqrt(126) - sqrt(126))\/sqrt(2) + -3)*-4)**2 + 4.\nAnswer: -1242*sqrt(7) + 33412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + -0.8. Let n be (-1)\/((5\/(-2))\/(-1)). Sort n, -1\/4, l in increasing order.\nAnswer: l, n, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 17328525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-324)*36*(-2)\/32.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35242496 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 12:11 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.040960143267 from -3.\nAnswer: -3.040960143267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 21 - n - n + 15*n. Let p be i(15). Let y = p + 11. Calculate the remainder when 6 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 175 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 + 6320*r.\nAnswer: 6320*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27 - 21*k**2 + 80 - 5*k + 17*k**2 wrt k.\nAnswer: -8*k - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1066.93?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21475655?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/44 - 6944\/77. Let b = 93 + l. Solve -3*y = b*i, 4*y = 2*y + 3*i - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - 23. Let y = i - -40. Suppose -b - 13 = 5*m, 0 = -3*b - 4*m + 2*m. Solve f - b*f = y for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - p + 8*p)*(-2 - 2 + 5) + (-3 - 20 + 50)*(-3*p + 5*p + 9*p)*(0 - 1 + 3)*(4 + 1 - 4).\nAnswer: 601*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -193116018*i**4 - 22359473.\nAnswer: -772464072*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-16)*(-1 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -1\/6*v**3 + 0 + v**2 + 4\/3*v**4 + 5*v + 1\/10*v**5. Calculate the smallest common multiple of 8 and z(-8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 117 - 114. Suppose 0 = 3*i - y + 4, -i - y + 7 - d = 0. Solve i = 2*t - t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 3*f + 5*f + 3 - 4*f - 3 + (6 - 1 - 3)*(815*f + 17 - 32 + 13).\nAnswer: 1630*f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.9 - -49.1. Let o = t + -68.9. Let g = o + 16.90000067. Round g to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 1. Let o(k) = -46*k + 2. What is 6*g(z) - 3*o(z)?\nAnswer: 144*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*sqrt(99))**2 + -3.\nAnswer: -60*sqrt(11) + 2476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 7*f**2 - 18*f + 73. Let c be b(6). Is c bigger than -5\/102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*k**2 + 1738*k**2 - 393*k**2 - 557*k**2 - 393*k**2 + 1313*k**3.\nAnswer: 1313*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 10 (c) -1\/13 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of -x**8\/2184 - 2*x**7\/1365 + 7*x**6\/780 + 2*x**5\/39 + x**4\/13 + 47*x**2. Find d, given that t(d) = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*u - 3*u + 3*u + (-9 + 1 - 5)*(-37*u + 1 + 10*u + 0).\nAnswer: 344*u - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-6)*(-1137)\/(-379)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 69, 5, 179, -13, 2, 3 in decreasing order.\nAnswer: 179, 72, 69, 5, 3, 2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-1)*1588\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1095435 and 1095434 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5)\/(18\/45).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -129, 0, -452.\nAnswer: -452, -129, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-18) + 112\/24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Suppose 4*a + h = 12. What is the third derivative of a*r**5 - 3*r**2 - 2*r**5 - 2*r**5 wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3*u + 12 = 0, 4*x - u - 16 = 3*u for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2408, 4818, 7228?\nAnswer: 9638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 553*f - 554*f + 63 = 0. Is f at most 1092\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 967365 a multiple of 1295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*a + 36*a - 185 = 0, 4*a = 2*t + 3*t + 163 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -180 + 54. Let m be z\/105*10\/(-4). Let v = -1 - -3. Solve m*o + v = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -c + 5*q - 15, -7 = -3*c + 2*q. Suppose -1073*n = -1068*n - 810. Let z = 162 - n. Solve -c*i = 4*s + 1, -s = -z*i + 4*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -69624\nAnswer: 13924.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 80680089599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8263 - 463 = 195*k for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1154 at most as big as -1156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 488509139 > 488509139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 3:38 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**3 + i**2 - 3*i + 2. Let u be q(1). Let w be -5*u\/15 + 1599999. What is w rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6279619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u - 3. Let l(r) = -r. Let j(b) = -9*b + 2. Let t(y) = -j(y) + 2*l(y). Let w be 1 + -6 + (1 - 1). Calculate w*n(o) + 7*t(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 6, -3*f + 0 = 5*a - 29. Suppose 8 = -a*d + 11*d. Find the third derivative of -8*h + 8*h + d*h**2 + 12*h**4 - 13*h**2 wrt h.\nAnswer: 288*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141350 divided by 11?\nAnswer: 12850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*b + 4. Let x(i) = i**2 - 13*i + 14. Suppose 0*u - 2*u = -10. Let v(c) = c**2 - 2*c + 3. Let n(s) = u*v(s) - x(s). Calculate n(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 7*z**2 + 9 + 3*z**2 + 6*z**2 in the form t + c*z + a*z**2 and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 20*z - 1. Let d(w) = -60*w + 4. Let j(t) = 4*d(t) + 11*v(t). Suppose -28*x = -68*x - 200. What are the prime factors of j(x)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31137\/7898 + -37\/359. Let a be ((-3)\/3)\/(-1) - -7. Calculate the common denominator of 178\/a - (-1 - -1) and y.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, l: 2, m: 2, f: 8, x: 1}. What is prob of sequence ufxf?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 2*i + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -63333852.5 to the nearest 1000000.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81*a**3*r**4 + 2*a**3*r**3 + 16*a**3*r**2 + 4*a**2*r**2 - 2*a*r wrt r?\nAnswer: -1944*a**3*r + 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q - q**2)*(-4*q + 2*q + q) + ((-q + 2*q - 3*q)*(-4 + 3 + 3) - 4*q - q + 6*q)*(q**2 + 0*q**2 - 2*q**2).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c**2 - 9*c + 9. Let l(k) = -k**2 + k - 1. Let r(p) = 9*l(p) + s(p). Let u(i) = 31*i**2. Determine u(r(o)).\nAnswer: 279*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**3 - 3*h**2 + 3*h. Let c(m) = m - 11*m**3 - 4*m + 0*m + 5*m**2 - 2*m. Calculate 3*c(x) + 5*n(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*z**3 - 75*z**3 - 75*z**3 + 9*z + 14*z - 77*z**3.\nAnswer: z**3 + 23*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6143629130 divided by 5.\nAnswer: 1228725826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 250?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228914 is divided by 114409?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 32*w + 23. What is the units digit of v(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 - 2*h**2 - 88*h**3 + 7*h**2.\nAnswer: -88*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(5\/3)*x*x*x*x)\/((((x\/x**18*x)\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -q + 32. Suppose q = b + b. Let z = -44.6 - -45. Sort b, -4, z.\nAnswer: -4, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a day?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1217797 is divided by 427?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeddedeee. Give prob of picking 1 d and 2 e.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 283.9 + -284. Let d = 3 - 2. Which is the nearest to d? (a) g (b) -0.5 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2260\/6215)\/(4\/235) + -25?\nAnswer: -40\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 smaller than 2465634?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1327, 5, -2 in ascending order.\nAnswer: -1327, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 7*d**2 - 18*d + 12. Determine l(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of a**6\/120 - a**5\/12 + 3*a**2 + 6*a. Let m(z) be the first derivative of k(z). What is the third derivative of m(u) wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-684)\/(-15) + (-9)\/15. Let t = -5 - p. Let s = 352\/7 + t. Which is the smallest value? (a) 3 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**3 + 1. Determine w(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/9*4\/(-14)*3. Suppose o = -4*a + 33, k*a - 6 = -5*o + 15. Calculate the lowest common multiple of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -2\/15, -2\/7, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 15 = 4*w. Let h be -1 + w + (-48)\/28. Let x = -0.7 + 1.2. Put x, h, 0.1 in ascending order.\nAnswer: 0.1, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3455860?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1371, -1354, -1337, -1320, -1303, -1286?\n\"Answer: 17*n - 1388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 63, 113, 167, 225, 287?\n\"Answer: 2*k**2 + 44*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -284*l - 61973. Give x(-218).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*s + q - 45, 0 = 3*s + 3*q - 36. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 7:03 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 245\/(-294) - (-8)\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k + a + 71 = 3, -5*a - 80 = 5*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/7)*o**(-4))\/(o*o**(-3\/5)*o)**(-29))**33 assuming o is positive.\nAnswer: o**(42438\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 2156 = 27*i + 33*i - 11*i for i.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n - n**2 - 2 - 3 + 6*n + n. Determine v(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 179 + -179. Let u(x) be the first derivative of 2\/21*x**3 + 0*x**2 - 17 + o*x. Let u(c) = 0. What is c?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 (base 14) to base 13\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1021 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*d + 8, i = 5*d + 3 + 1. Suppose 5*n = d, -p = -2*p + 2*n + 3. Suppose -4*b + p = -5. Calculate the greatest common divisor of b and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 131*w**3 + 75*w**2 - 21*w**3 + 82*w**2 - 10*w**3 wrt w?\nAnswer: 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-32)\/(-20))\/((-1)\/(-5)). What is the common denominator of 29\/39 and (f + (-486)\/56)\/((-6)\/(-8))?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1591\/10 - 147. Let l = 23\/2 - v. Let x be 1 - (3\/1 + -2). Is l at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuippupupuprr. Give prob of sequence ipr.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23154274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 601 divide 1235824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 88*p**2 + 73*p - 1421. Let z be a(-89). Let r be -1 - (-1 - -2 - 3). Solve 5 = z*g - r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 207 divide 545628402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -14354?\nAnswer: 14352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 892 or 1.03?\nAnswer: 1.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-17)\/((h*h*h**8*h)\/h) assuming h is positive.\nAnswer: h**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 3\/55, 4\/7, -1\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -59919 and -0.017.\nAnswer: -59919.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 33 = 2*g - 4*g, 2*g + q - 35 = 0. Does 8 divide -60*(g\/(-5) + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 5 = -4*b. Suppose -2*y + 3*y - 6 = 0. Suppose 4*i = y*i. Solve -h - 4*a = 9, b*h - 3*a + 3 - 4 = i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1 + -4*(sqrt(720) + 0 + sqrt(720) + -5 - sqrt(720)*-3*6))**2.\nAnswer: -38400*sqrt(5) + 4608400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 6\/5 of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 + 169886180*o**3 - 1443065707749620*o**2.\nAnswer: -5*o**2*(o - 16988618)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) -3\/7 (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 3, 12, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1981513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 7872?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276909527?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 2675?\nAnswer: 2675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3 = -4*f + 2*g, 7 = 4*f + g. Suppose -h - 5*r - 30 = -6*h, -h + f = 2*r. Factor -3 + 8 + 3 - 5*c**2 + 2 + h*c.\nAnswer: -5*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10011 - 10?\nAnswer: -10021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 724?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 36*d**2 - 19. Is w(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26467*c**2 - 26187 wrt c?\nAnswer: 52934*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3127.247 rounded to the nearest integer?\nAnswer: 3127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-2 - 2)) + -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 - -69.01. Which is the biggest value? (a) f (b) 3 (c) 0 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 480001 and 7?\nAnswer: 3360007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16439522 and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*(i**5*i*i*i)\/i))**(-2\/23))**(-9\/5) assuming i is positive.\nAnswer: i**(-126\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -61641492?\nAnswer: -1\/20547164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-5\/9)*a*a*a*a*(a**(-24\/7)*a)\/a*a**(-4)*(a\/(a*a*a\/a**(-28)*a))\/a)**(6\/11) assuming a is positive.\nAnswer: a**(-4408\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4 (b) -148 (c) 13569\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkfknpkknkfnckn. Give prob of picking 2 f and 1 p.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5 + 372*i**4 - 3729*i**3.\nAnswer: -3*i**3*(i - 113)*(i - 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 2:33 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 203319900?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**3 + 219*i**2 - 17*i + 31646.\nAnswer: -6*i**2 + 438*i - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Let f = -11 + 10.7. Which is the third biggest value? (a) -1\/5 (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1586332839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -8\/9*v**3 - 1\/630*v**7 + 0 - 17*v**2 + 0*v + 0*v**6 + 2\/45*v**5 + 0*v**4. Factor m(k).\nAnswer: -(k - 2)**2*(k + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -3*q - 2, -261*q + 2*f + 4 = -264*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*b, n + 3*n + 5*b = -44. Let o(d) = -d**2 - 18*d + 2. Is 17 a factor of o(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 176*m - 481*m + 156*m - 5810*m**2 + 149*m to the form i*m**2 + x + c*m and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/1 + (46 - 41). What is the units digit of 1*-1516*(g + 18\/24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 199*r**3 + 737*r - 69946 wrt r.\nAnswer: 597*r**2 + 737","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54644128 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6847374 millilitres?\nAnswer: 0.0006847374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/31)\/w)**(-1\/7) assuming w is positive.\nAnswer: w**(33\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**2 - 2*a - 2*a - 1 + 4 + 3*a. Let g(x) = -21*x**2 - 5*x + 15. What is -2*g(r) + 11*s(r)?\nAnswer: -2*r**2 - r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3140 - 3?\nAnswer: -3143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 2:37 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 11:43 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_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: What is the fourth biggest value in 2, 6\/5, -3\/11, 0.5?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6343196678?\nAnswer: 2, 7, 13, 2909, 11981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12094 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 - 52\/(-16). Suppose 384 = 19*z - 528. Calculate the greatest common divisor of z and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6435\/(-360))\/13)\/(4\/(-24))\nAnswer: 33\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 1 = 6. Let q(y) be the third derivative of 3*y**6\/40 + y**5\/60 + y**2. Let x be q(m). Solve 5*o + x = -5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/(-44) - 31\/4. Let b(a) = 2*a**2 + 11*a + 37. Is 20 a factor of b(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 50 = -2*p. Let b(h) = 20*h + 41*h**2 - p*h - 63 - 40*h**2. Is b(-26) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 27*x**3 + x**2 - x. Suppose k - 7 = -6. Calculate the remainder when j(k) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128648 is divided by 6425.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7939447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-20)\/(c*c**7\/c*c)*c**(-12\/5)\/(c\/((c\/(c\/c**(-2\/35)))\/c)))**(-2) assuming c is positive.\nAnswer: c**(2272\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 873 + 798 = 5*h, -242 = 4*h - 17*f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 4\/5 (c) 4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-54 - (-32 + 18)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 208?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -11 + 10*m - 5 + 19 - m**2. Calculate the remainder when 150 is divided by s(8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -b**3*r**2 - 501*b**3 + 2*r**2 - 218*r with respect to b.\nAnswer: -3*b**2*r**2 - 1503*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -5 + (-2 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*r = -81, 9 = -0*r - 3*r. Suppose o + 3*o = 352. Calculate the greatest common factor of j and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 109769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**3)**(1\/2)*i**(2\/17)\/i**22)**(7\/6) assuming i is positive.\nAnswer: i**(-1617\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, 0.1, -117656, 0.3, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -566*t - 21. Let j(s) = -2*s - 2. What is -5*j(p) + n(p)?\nAnswer: -556*p - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*y + 35*y - 12*y - 51*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17 times -8.1102215\nAnswer: 137.8737655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47 + 47 - 14*b**2)*(1 + 1 + 1 + 2*b).\nAnswer: -28*b**3 - 42*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 2*w = 0. Let o be 58\/(-18) + w - (-2)\/9. Let x(h) = -4*h - 10. What is the least common multiple of 22 and x(o)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = h - 6*h. Let f be 1 - (6\/h + -2). Let c = 3 + f. Solve d + 17 = -c*j, -j + d + 2*d = 1 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (325\/(-39) - -8)\/((7\/15)\/7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -317 divided by 1\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109181?\nAnswer: 23, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (574 + -1)*(10\/15)\/2 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 5. Let r(t) = -44*t - 32. Let z(i) = -4*i - 3. Let b(w) = h*r(w) - 32*z(w). Let c(a) be the second derivative of a**3\/6 - 2*a. Calculate c(b(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 5*k + 41 = 0, 495*k = 2*h + 499*k + 28 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670632.7cm in nanometers?\nAnswer: 6706327000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p + 1. Let u be d(5). Let j(t) = -t + 15. Let n be j(u). Solve -n*i = -3 - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -415562, -415563, -415564, -415565, -415566, -415567?\n\"Answer: -m - 415561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87616264447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98 + 102. Suppose -2*x = h - 0*x + u, 4*x = -4*h. Factor 9*s**3 - 33*s**4 - 27*s**3 + 37*s**h + 20*s**2 - 6*s**3.\nAnswer: 4*s**2*(s - 5)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + (-120)\/90.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 8 = 4*w, -100*h = -95*h - 3*w - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16403304?\nAnswer: 2, 3, 683471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 5*v**2 - 3*v + 7. Let n be g(-3). Let k(b) = 8*b + 18 - 9*b - 18. Calculate k(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 606, 604, 602?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.9 and -2460.\nAnswer: 12054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-267)\/(-178) - 4\/8. Suppose -3*s - 15 = -5*o + 2*s, 13 = 3*o - 5*s. Which is the nearest to o? (a) 1\/3 (b) -5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2089 in -0.2, -6\/11, 0.39?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 321 and 83246?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: bb6 (base 14) to base 6\nAnswer: 14420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 320108.\nAnswer: 2, 79, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 47, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872 is divided by (8\/(-12))\/(10\/30345*-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 10*u**2 + 14*u - 1. Let c be a(-8). Calculate the highest common factor of c and 2865.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 24.0183846 microseconds?\nAnswer: 0.0000000002779905625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3 + 9 = 0. Let i be 10\/z*(-2)\/(-5). Suppose 5*t - 5 = -0*t. Solve t = -o - i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9 - 15*t**3 + 3*t**4 + 27*t**3 - 17*t**5 - 3*t**2 + 24*t**5 - 3*t**4 wrt t.\nAnswer: 420*t**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*i - 3*n + 247, 5*i - 4*n = 332. What is the greatest common factor of i and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 340764061 to the nearest integer?\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 102286054*a - 254895515?\nAnswer: 102286054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/2 + (9 - 4). Let a be (i\/1)\/((-5)\/(-25)). Suppose 3*m - a*m + 4 = 0. Solve -m*k + 1 = -3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3809 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66 * -1.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/(-1))\/(-5))\/(1444\/(-760)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 404.42*-4.\nAnswer: -1617.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 45 = 3*t, -6*p + p - 69 = 2*t. Let d = p + 16. Suppose -d*w - 83283 = 42717. Round w to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1710 and 1440.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 3*t - 17. Let v be z(-5). Let l = v + 8. Calculate the smallest common multiple of l and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1733, 3464, 5195, 6926, 8657?\n\"Answer: 1731*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*x**3\/5 + 2028537*x**2\/5 + 1159128*x\/5 + 165588\/5.\nAnswer: 3*(x + 13799)*(7*x + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2177 + -2169. Let j(t) be the second derivative of 0 + 1\/12*t**4 - 1\/5*t**5 - 1\/30*t**6 + 2\/21*t**7 + 0*t**2 + 0*t**3 - b*t. Factor j(h).\nAnswer: h**2*(h - 1)*(h + 1)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 4*s**3 - 65 + 65 - 11*s**4 + s**2 - 2*s**3 as o*s + k*s**4 + i + d*s**3 + n*s**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*o**4 - 15*o**4 - 41*o**4 + (0*o - 3*o + 2*o)*(-3 + 3 + o**3) - 2*o**4 + o**4 - o**4.\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1\/(2\/29))\/(1\/70)?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -119.48 and -38?\nAnswer: 4540.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 1. Let s(y) = -2*y - 4. Let x(f) = -5*b(f) - 2*s(f). Calculate x(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*d*l**2*m - d*l*m**2 + 19*d*l*m - 5*l**2*m - m**2 - 3*m wrt d.\nAnswer: 3*l**2*m - l*m**2 + 19*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**3\/2 + 42339*j**2 + 1609785*j\/2 + 2542050 = 0 for j.\nAnswer: -15, -4, 28245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(119\/21 + -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6.6 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q**4\/4 + 591*q**3\/4 + 7175*q**2\/2 + 28425*q + 70750 = 0. Calculate q.\nAnswer: -566, -10, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*r + r + 3*r)*((113 - 219 + 94)*(0 - 5 - 5) - 4 + 2 + 1) to g + v*r and give v.\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**7\/210 - g**6\/25 + 19*g**5\/50 - 2*g**4\/5 - 37*g**3\/30 + 3*g**2 + 949*g. Determine l so that o(l) = 0.\nAnswer: -10, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97 * 3.\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.9 less than -221.6435?\nAnswer: -230.5435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -655755.1 + -69238.9. Let z = 725006.49911 + h. Let d = z + -12.5. What is d rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 381\/508 + (-14)\/16. Put 2\/11, -29, r in decreasing order.\nAnswer: 2\/11, r, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r. Suppose 3*o - 2*o + 3 = 0. Let k be f(o). Suppose -2*h + 2*s + 2 - 6 = 0, -4*s + 22 = 3*h. Solve k*c + 1 = h*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12, 23, 34, 45?\n\"Answer: 11*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(75))*2*-3 - (sqrt(1188) - (sqrt(1188) - (sqrt(1188) - 1*sqrt(1188))) - sqrt(1188))\/(sqrt(11) + sqrt(1100)*2))**2 + -5.\nAnswer: 12480*sqrt(3)\/7 + 173647\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -3*n - 12, -12 = 3*n - 8*n + 4*u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1200 (base 15) to base 6.\nAnswer: -25413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -94. Let d = -46 - c. What is the second smallest value in 0.1, d, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61247\/42 - 1457. Calculate the common denominator of f and -109\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3665.\nAnswer: 5, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 + 10*d + 1. Let l be r(-9). Let v = l + 14. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 358 divided by -2.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 2. Let u(c) be the third derivative of -c**5\/60 + c**4\/8 + c**3\/3 - 12*c**2. Determine u(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*a**2 + a**2 + 9*a**2 + 31*a to the form x + j*a**2 + k*a and give k.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -543, -2165, -4883, -8709, -13655, -19733, -26955, -35333?\nAnswer: -44879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-50)\/(-425) + 5200\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167954, 335886, 503818, 671750, 839682?\nAnswer: 1007614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1333700405?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -19*k**4 - 17*k**3 + 8*k**2 + 8*k - 63. Let l(w) = 12*w**4 + 11*w**3 - 5*w**2 - 5*w + 42. Let a(x) = -8*l(x) - 5*y(x). Differentiate a(j) wrt j.\nAnswer: -4*j**3 - 9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2569 + 8*l + 2574 - 6*l. Let t(a) = 9*a**2. Calculate r(t(n)).\nAnswer: 18*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c = -8, -k - 3*c = -26. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 16*q - 1. Let r be v(1). What is the lowest common multiple of 100\/r + (-2)\/(-6) and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -453970, -453971, -453972?\nAnswer: -453973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/sqrt(2))\/(sqrt(8) - sqrt(24)\/sqrt(3) - sqrt(8)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h - 11. Let m be j(5). Suppose -3*y + 3*b - 96 = 0, -y - 41 = 3*b - 7*b. Let o = m - y. Solve -w - w + 6 = 0, 5*v + 34 = o*w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x. Let o(d) be the first derivative of -d**5\/15 + d**2 + 4. Let t(s) be the second derivative of o(s). Give h(t(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z**5\/7 - 118*z**4\/7 + 1014*z**3\/7 - 254*z**2 + 148*z - 144\/7 = 0.\nAnswer: -18, 1\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 37027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26701 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -145\/7. Let q = -86.7 - -85. Let g = q + -1.3. Which is the biggest value? (a) 0 (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*k**2 - 1127761*k - 15338761 with respect to k.\nAnswer: -14*k - 1127761","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1553901 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1211*u**2 + 1211*u**2 + 3*u + 1166*u**4 + 0*u + 133 - 237*u**4 wrt u?\nAnswer: 11148*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -2, 1\/4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*n - 932*n**2 + 931*n**2 - 25*n.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44695 is divided by 7431?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(7623)*-6)\/(sqrt(27)\/sqrt(12) - sqrt(27)\/(sqrt(3) + (sqrt(3) - sqrt(6)\/sqrt(2)))).\nAnswer: -396*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16945293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1111000000100001010111 (base 2) to base 15\nAnswer: 52aab5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*f = 37 + 26, 5*q + f = 61. Let u be q*-2*2\/(-4). Let p(b) = b**2 - b - 13. Is p(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*m + 9 = -2*k + 218*m, -5*k = -5*m + 60 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 + 10*h**2 - 10*h**2. Let j(o) = 3*o + 8. Let s(p) = 2*p + 5. Let q(b) = 5*j(b) - 8*s(b). Determine q(u(l)).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w. Suppose -15 = 5*h - 5*j, 0 = -2*h - j + 6*j - 15. Let f(c) be the first derivative of h*c - 3\/2*c**2 + 2. Determine f(b(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8865875, 17731731, 26597587?\nAnswer: 35463443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 8*d + 1. Let z be t(7). Let k(n) = -n**2 + 8*n - 3. Let o be k(z). Calculate the common denominator of -30\/11 and ((-143)\/14 + 1)\/o.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 68022.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 12.8. Let x = 15.4 + j. What is the second biggest value in 0.4, x, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103376\/1305 or 2\/7?\nAnswer: -103376\/1305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -10.953102.\nAnswer: 131.437224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/10 - 3\/6. Let i be (72\/23 + (4 - 7))\/((-14)\/(-126)). Which is bigger: g or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, z: 3, r: 2, y: 1, w: 3, c: 1}. Give prob of sequence czr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/60)\/(236\/(-354)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 44\/16 - (-6)\/(-8). Let u = r - -1. Solve -u*i + 8 = i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*n, 2*h - 9 = -2*h - 5*n. Let o be h\/4 + 26\/(-40). Sort o, 0.4, -1\/5 in descending order.\nAnswer: 0.4, -1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 12*y + 80. Let h be c(-23). Let t = h + 205. Solve t = -2*g - a, 2*a - 5*a - 9 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 88*x**3 + 325.\nAnswer: 264*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from {l: 3, j: 1, k: 1, m: 3, b: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 12:22 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 75 = 5*i, -282*d + 11 = 3*i - 280*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**8\/s))**(2\/53)*(s**(-5\/6))**(2\/51))**(8\/13) assuming s is positive.\nAnswer: s**(-16808\/105417)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 3 - (0 + 0)) + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1417 - -1416. Let v(l) = 2*l**2 + l - 7. Let h(p) be the second derivative of p**2\/2 - 2*p. Calculate m*v(x) - 6*h(x).\nAnswer: -2*x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-12)*3\/(-1). Suppose 10 + 6 = y*d. Suppose 0 = -4*u - d*i - 136 + 408, 5*u - 341 = -4*i. Calculate the remainder when u is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 2*u**3\/3 + 26*u**2\/3 - 32*u = 0.\nAnswer: -16, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*p - 57, -3*p + 453 = -3*i + 489. Solve 0 = 5*x - 2*c + 1, 0 = -2*x + 2*c + i - 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c84 - 2b?\nAnswer: c56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11273585 is divided by 388744.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 14*l**2 - l + 6. Let s be r(-6). Suppose -u + 274 = -s. What is u rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, o: 7, j: 4, m: 1, h: 1}. Give prob of sequence hj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 7*x - 4. Let a = 15 - 12. Suppose 5*k - 5*q - 35 = 0, 0 = -4*k - 2*q - a + 1. What is the lowest common multiple of 18 and r(k)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8515795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 582, 569, 548, 519, 482?\n\"Answer: -4*x**2 - x + 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6694 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 3228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + 151 - 99 - (-14 + -1).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2751 - -3218. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747 >= 101176\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-6562)\/85)\/((-4)\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (286 - 840 + 283 + 332 - 87*l)*(-l - l**3 + l).\nAnswer: 87*l**4 - 61*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 559 + -551. Let v be (-6)\/l*(-392)\/147. Solve -v*r + 6 = r, 2*k + 3*r = 8 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/28*-12 + 93\/(-21). List the prime factors of (26 - (t + 9))\/(6\/102).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in ten thirds of a week?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 406 = 69*m - 1370 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1 - 8 + 3 - 2*r**2 - 2 - 8*r.\nAnswer: -2*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25463\/16 - -1594. Let n = 5 + -6. Find the common denominator of b and (n\/12)\/((-7)\/1498).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 4, -0.06, -3, 2\/7345, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1526 and -205358011.\nAnswer: -205356485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/4 - 105*m**2\/4 - 51*m\/2.\nAnswer: -3*m*(m + 1)*(m + 34)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137 divided by 17.\nAnswer: 137\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)*z\/(z*z*z*z*z*z\/(((z**(-5)*z*z*z)\/z)\/z*z)*z))**0 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -1\/2, 83\/25?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -25. Let o = h - -12. Calculate the smallest common multiple of 10 and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1550 and 854350?\nAnswer: 26484850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 9 = -3*i + 2, -9 = -2*h - i. Suppose 2*d + 17 = -k - h*d, -3*k + 4*d + 29 = 0. What is the remainder when -3 - (-1)\/(k\/78) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + g**2 - 4*g + 1. Let v be a(2). Let f(b) = 6*b**2 + 8*b - 7. Let u be f(v). What is u rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 7*p**2 - 6*p - 10. Determine z(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 589 + 2*b + 441 as w + j*b and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -75600 + 4989739\/66. What is the common denominator of j and -13\/1956?\nAnswer: 21516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brrrp. What is prob of picking 1 p and 1 r?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -375038*i = -375054*i - 272 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**3 - 5*h**2 + 31. Let s(z) = -2*z**3 - z**2 + 1. Determine -5*s(m) + w(m).\nAnswer: 5*m**3 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -32) + (-2 - -2). Let q = 52 - y. Does 18 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-120)\/(-32)*(0 - -4). Calculate the common denominator of (1\/(-5))\/(5\/s) and -9\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m - p + 21 = 0, m = 2*p + 7. Let z(f) = -f**2 + 3*f + 22. Let t be z(m). Let a(i) = -2*i + 0 + 6 - 5. What is a(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/1188 and 57\/14.\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 24*y**2 + 43*y + 24. Let k be s(22). Let x be 6\/k*(52\/12 + -3). Solve 3*b - 19 = -2*o, x*o - 4*b - 2 = -14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9255 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1.861 + 1658.67196637\nAnswer: 1660.53296637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 210324?\nAnswer: -210322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-3 + (-469)\/(-140)). Solve -5*x - u = i, 0*i - i = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**4 + 540 - 540 + 3*z**4 + 2*z + 4*z**2 as w*z**4 + s*z + m*z**2 + n + j*z**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 + 195*r**2 + 1800*r - 2000.\nAnswer: 5*(r - 1)*(r + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 1971*w**2 - 3942*w + 7. Determine l(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.1 - -17.15. Let l = 4 - 7. Let w be (6\/(-21))\/(l\/(-7)). What is the nearest to w in 4\/5, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -9.35, -4, -5, 0.2, 14, 0.4, -139?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 22*k - 130. Suppose -3*m + 2*f + 42 = 0, 8 = -m - 469*f + 466*f. Determine b(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19575360 and 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 27. Let r be z(11). Let s be 4 - 1 - 1380\/280 - (-3)\/7. What is the closest to -2\/49 in s, r, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 45, 54, 61, 60, 45, 10?\n\"Answer: -j**3 + 5*j**2 + j + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3484389 less than or equal to -3484380?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**15\/u)\/(u*u\/(u*u**(-1\/16)*u)))\/(u**(-5)*u*u\/(u**(-4)\/u)))**(-32\/3) assuming u is positive.\nAnswer: u**(-382\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 14 = -4*f + 42, 0 = 3*f - 5*b - 50. Suppose 4*j - 240 = j. Calculate the greatest common factor of f and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 47*m + 19 = -51*m, 0 = -2*u - 2*m - 8 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 5 + 2)*(-3*p + 3*p - 2*p) + p + p - p)*(-1 + 1 + 3*p).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24155 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*6\/8*418\/19\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 43 = j, -3*p - 2*j = -15 - 16. Solve -5*a = p - 24 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 5 - 9 - (6 + -33)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3211 and -21374.\nAnswer: -18163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-16)*((11 - 5) + (-224)\/36).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12418*h - 12254*h - 2788 = 0 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(3\/17))*c\/(c*c**(6\/7)\/c))\/(c\/(c\/((c*(c\/(c**22*c))\/c)\/c))*c*c*c*c**(3\/20)))**(-7\/3) assuming c is positive.\nAnswer: c**(-16001\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 1. Let t(h) = -8*h - 10. Suppose -4*k + 2*r - 4 + 6 = 0, 4*r = -20. Let n be 96\/56*42\/4. What is k*t(q) + n*i(q)?\nAnswer: -2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*x**2 - 16 + 26 - 8)*(6*x - x + 0*x).\nAnswer: -110*x**3 + 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1080344899 to the nearest integer?\nAnswer: 32869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163465722 is divided by 258.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a - 7*a + 48 = 0. Let s = a + 21. Let l = -4 + 13. Is l < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = 113 - 225. What is the smallest common multiple of 7 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - c**2 - 5*c + 2. Suppose -4*o = -5*v - 110, -5*o = -195*v + 197*v - 154. What is the smallest common multiple of o and s(4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j + 3. Let n(k) = -1. Give -2*n(t) - 3*p(t).\nAnswer: 3*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(109\/763)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -9*y**3 - 16*y**2 - 21*y - 5. Let r(l) = -22*l**3 - 40*l**2 - 52*l - 12. Let v be ((-4)\/5)\/(4\/60). Let d(x) = v*o(x) + 5*r(x). Factor d(m).\nAnswer: -2*m*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + 106. Let u = a + -117. Let t(m) = 12*m - 56. Calculate the least common multiple of t(u) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wddllltbdgdttdd. Give prob of picking 1 w and 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9518*i + 9510*i - o + 29 = 0, -o = i - 8 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nznznnnnznn. What is prob of picking 2 z?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 36, -3\/5, 1\/12, 654?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2)\/d)**(-2\/99)\/(((d\/((d\/d**(-2))\/d))\/d)\/d)**(-24)*((d\/(d**(2\/7)\/d))\/d*d**(2\/13)\/d*d)\/(d**(-1\/4)\/d)**(-8) assuming d is positive.\nAnswer: d**(-243548\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -14990 * 4\nAnswer: -59960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*w - 3*u - 16, 0 = -5*u + 15. Let k = w + 7. Let d be (k - 1) + -15 - -3. Which is smaller: -12 or d?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 5*s - 2. What are the prime factors of s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -249 + 249.4. Let p = 1505 + -1505.5. Let r be 1\/(-5 - (1 - 0)). What is the nearest to 1\/3 in p, l, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 93*m + 20. Let u be l(0). What is the greatest common divisor of u and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - 201404235?\nAnswer: -201404244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41\/3, -59, 2 in increasing order.\nAnswer: -59, -41\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*11*65\/715?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15296064 a multiple of 599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 divided by -6.\nAnswer: 53\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/39))\/(o**12\/o)*(o*o**(-10)*o*o)\/(o*o**(17\/3)) assuming o is positive.\nAnswer: o**(-307\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1315*k**2 + 1655*k**2 + 2685*k**2 - 569*k**2 + 1048*k**2 as j + d*k**2 + w*k and give d.\nAnswer: 6134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1430706 is divided by 353.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 10*i**2 - 3*i + 2. What is the units digit of s(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -10*g + 90. Suppose 4*s - g - 39 = 0. Solve -s + 9 = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.21\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -30, -125, -284, -513, -818, -1205?\n\"Answer: -h**3 - 26*h**2 - 10*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -119 (b) -0.15 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 + 17*f. Suppose 15 = -3*i, 2*l = 4*i - 5*i + 51. Suppose 7 = -5*u - l. List the prime factors of m(u).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321311 (base 4) to base 16.\nAnswer: -e75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/6 + 52*b**3 - 157*b**2 + 472*b\/3 - 105\/2.\nAnswer: (b - 1)**3*(b + 315)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36301303*k**5 - 329*k**2 - 68191*k wrt k.\nAnswer: -2178078180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f**2 + 5*f + 22. Let n(c) = 3*c**2 - 3*c - 11. Let b(y) = -5*n(y) - 3*o(y). What is the first derivative of b(s) wrt s?\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12629.62 to the nearest 10.\nAnswer: -12630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171 and 741.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*u + 13*u - 405 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 11:22 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7325467 divided by 20.\nAnswer: 7325467\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*v - 6, -3*t + 58*v - 63*v = -37. Let z(h) = 2*h - 13. Determine z(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.47 or 7?\nAnswer: -2.47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 - 2*j**2 + 2*j**2. Let v be (-14 - (0 + -3))*-2. Let t(n) = -v*n + 42*n - 18*n. Calculate t(w(c)).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2432.006 milligrams in tonnes?\nAnswer: 0.000002432006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 39 = 21. What is the third derivative of -14*z**4 + 26*z**2 + v*z**2 - 68*z**2 wrt z?\nAnswer: -336*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242050 is divided by 151?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -29*m**2 + 7*m - 1. Let j be n(3). Let a = 348 + j. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -291795\/1513256 + 1\/18232. Is 0.1 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 0*h + 2. Suppose -17 = 5*v - 5*t + 8, -v + 2*t = 10. Solve 6 + v = -h*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**2\/2 - 2769*o + 5537\/2 = 0.\nAnswer: 1, 5537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -69, -87, -13, 225, 699, 1481?\n\"Answer: 12*m**3 - 26*m**2 - 24*m - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 238 - 22 = 0. Let y = h + -105. Factor -9487*c**2 - 8*c + 6*c**y - 10*c + 9502*c**2 - 3*c**4.\nAnswer: -3*c*(c - 3)*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 + 0)*(-5855 + 2803 + 2350)*(3*g - g - 5*g) as u*g + c and give u.\nAnswer: 2106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5954 and 24362?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2912*n - 3. Let i(m) = 5*m. Determine i(b(l)).\nAnswer: -14560*l - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 26c41c6 - -9?\nAnswer: 26c41d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21849 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**2 - 48*s + 2. Let m be g(-12). Suppose 2*q + 67 = m*l - 105, -4*l - 4*q = -328. Calculate the remainder when l is divided by 28.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2 + 4*n**3 - 3*n**3 + 0 to the form h*n**2 + p + r*n**3 + a*n and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 + 12*m**2 - 4*m - 14. Let r be h(-6). Sort -5, r, 3, 4 in decreasing order.\nAnswer: r, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25446?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g - 2 = 0. Let z(r) = 2*r**2 - r**3 - 11*r**2 - 3*r + 4*r**g. Determine z(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -29*z**4\/24 - 2*z**3\/3 - 6*z**2. Find the first derivative of m(s) wrt s.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 592*-1047170\nAnswer: -619924640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 + 6230*g**3 - 69045*g**2 + 113130*g.\nAnswer: 5*g*(g - 9)*(g - 2)*(g + 1257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from {p: 8, u: 2, h: 5, n: 2, c: 2}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 242 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 51, 101, 137, 153, 143?\n\"Answer: -c**3 - c**2 + 60*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**3 + 8*y**3 - 11*y**3.\nAnswer: 9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y**3 + y + 1. Let g be (-2)\/((-6)\/3) - 1. Suppose g*x = -7*x - 7. Give j(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4396*u**3 + 96711*u**2 + 101130*u + 23 = 0?\nAnswer: -1, -1\/4396, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1836 + -364077?\nAnswer: -362141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 15, 0 = -4*s + r + 19 - 8. Suppose 9 = 3*n + 3. What is the third derivative of q**5 - 2 + s + 3*q**n wrt q?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2557*m + 2562*m + 3*p = -42, m - 7*p - 60 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28092 and 551970344.\nAnswer: 9364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10484 rounded to the nearest one hundred?\nAnswer: -10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n - 3*j + 15, 2*n = 2*j - 12. Let k(q) = q**2 - 6*q - 2. Let h be k(7). Put h, 3, n in decreasing order.\nAnswer: h, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7873 is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 - -25. Let m = 26 + q. Solve 5*c - 4*p = 0, -p + 6 - m = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 268853.\nAnswer: -537706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 5*u**2 + 4*u - 12. Let z be v(5). Calculate the greatest common divisor of z and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*s + 50 = 0. Let f = s - 10. Suppose -8*y + 4*y + 5*o + 40 = 0, f = -o. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9414\/13 - -724. Let k = -150 + 42. Does i = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 53722911*o**2\/5 + 10744581*o - 6\/5 = 0. What is o?\nAnswer: -1, 2\/17907637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 12) to base 16\nAnswer: -9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32940 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 4 + 0)*(-2 + 1 + 2)*(-4*m**2 + 4*m**2 + 2*m**5).\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2604472 and 2330584.\nAnswer: 2536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/(5\/615) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1181424\/749 or -1576?\nAnswer: -1181424\/749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 1705*y**2 - 613*y**2 + 28 + 128*y**2.\nAnswer: -2190*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -48, 156, 620, 1344, 2328, 3572, 5076?\n\"Answer: 130*k**2 - 186*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 406211 and 156?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 23873 take away -203402868?\nAnswer: 203426741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -19*s - 22. Is w(-23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-182)\/(-7)*(-2 - 4\/(-3))*(-108)\/(-72).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2. Let p(z) = 8*z**2 - 9*z. Give p(n(k)).\nAnswer: 72*k**4 - 27*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + b + 58. Let l = b - -16. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 3*n, 5*o + 53 = -3*n + 56 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - -1. Let z = 125\/3 + -42. What is the nearest to z in 3, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -13*d + 29. Solve 0 = d*c - 11 + 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*15\/(-2)*6508\/(-68334).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1708, -1710, -1710, -1708, -1704, -1698, -1690?\nAnswer: -1680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-10))\/(2\/24). Let l(x) = -6*x**2 - 4*x - 5. Let k(v) = -5*v**2 - 3*v - 4. Let p(t) = a*l(t) + 7*k(t). Let p(h) = 0. Calculate h.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1286.\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02377997 rounded to 5 decimal places?\nAnswer: 0.02378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 19, 14, -1, -26, -61, -106?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**10\/q*q)**(3\/2)*q*q**11\/q*q\/(q**(-1\/2)*q)*q)**(-9) assuming q is positive.\nAnswer: q**(-261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18 or 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -1 (c) -1406.046\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -604*k - 229*k**2 + 231*k**2 - 302*k + 151*k - 418*k to the form p*k + f + g*k**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 4*t**5\/5 + 4*t**3 + 6. What is the third derivative of w(f) wrt f?\nAnswer: 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 724 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: Expand 4*n + n**2 - 4*n + (6*n - 2*n - 3*n)*(-1 + 1 - 2*n) - 4 + 4*n**2 + 4 - n**2 + 5*n**2 - 2*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 406*s**3 + 1159.\nAnswer: 1218*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.832045 litres?\nAnswer: 2832.045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(117) - sqrt(13)) + 5*sqrt(325) + 3.\nAnswer: 3 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-54)\/18)\/((-3)\/7). Let o = h + -20\/3. What is the common denominator of o and 11\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2076 divide 118758833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 8022 + 810. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*m - 44, 2 + 9 = i + 3*m. Are 15 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5952 and -0.003?\nAnswer: -17.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-4) - -1 - (45 + 4) and -33\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*b = 4, 0 = 4*b + 2 - 10. Suppose -x*q + 7*q - s = -15998, 0 = -2*q + 4*s - 6392. What is q rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3709522 is divided by 8667.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/52 and 31\/759954.\nAnswer: 1519908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/917 (b) 2 (c) 3 (d) 0.54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 > -30122\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 11 = d - 5*y, 5*d + 3*y = 27. What is the third derivative of -3*i**3 + i**4 - 4*i**4 + 3*i**d + 2*i**2 wrt i?\nAnswer: -72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -0.007?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 + -9. Suppose 16626 = 2*i - o*k, -2*i + 33265 = 2*i + 5*k. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 10*k**2 - 11*k - 13. Let f be g(-9). Suppose -4*o + 2*p = 14, -2*p = -f*o - 7 - 8. Let u = 1.9 - -0.1. What is the closest to o in 1\/3, 3, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooouuoou. Give prob of sequence uuuo.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -687.3 * -0.7\nAnswer: 481.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {p: 1, b: 5, o: 3}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 16. Give y(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27155 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 276404110 and 1610?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -731704918\/755 - -969146. Let s = x - 2\/151. Let z = -0.3 - -0.8. What is the smallest value in s, -4, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**2 + 12. Let h(w) = -7*w + 17954*w**2 + 25*w - 17958*w**2. Give h(z(m)).\nAnswer: -36*m**4 - 234*m**2 - 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**4\/6 + 29*x**3\/6 + 20*x**2 - 55*x. Find the first derivative of y(j) wrt j.\nAnswer: 4*j + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178068922?\nAnswer: 2, 89034461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a. Let z(v) be the second derivative of 0*v**2 + 0*v**3 + 19\/12*v**4 + 0 + 39*v. Determine g(z(s)).\nAnswer: 57*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 52.25614707?\nAnswer: 54.25614707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 35505635 and 5.\nAnswer: 35505635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, c: 2, u: 2, y: 1, z: 1}. What is prob of sequence uz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -4\/824481175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 4*y, 11*n - 2*y + y = n + 3*y + 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3582204 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, w: 1, p: 4, h: 6}. What is prob of sequence wcph?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 7:57 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/(((-1081)\/23)\/8084)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41436.\nAnswer: 2, 3, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 320 - 293. Let n(j) = 24*j + w*j - 62*j + 39*j. Let a(x) = -3*x**2. Calculate n(a(r)).\nAnswer: -84*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2821 is divided by 48?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + sqrt(3159)*3 + sqrt(3159))\/(sqrt(15)\/sqrt(5)*3).\nAnswer: 37*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11856 - -11870. Calculate the remainder when 2593 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-64)\/(-432))\/((-4)\/6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 divided by -1410.\nAnswer: 5\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 396 and 594.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 44 = -4*x - 3*r, 3*x = 3*r - 3 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -175465429 to the nearest one hundred thousand.\nAnswer: -175500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/4))**(-37)*t**(2\/21)\/t*t**(1\/5) assuming t is positive.\nAnswer: t**(3589\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**3 - 40*c**2 + 76*c + 1213. Calculate z(-13).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726834 is divided by 135?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*j - 2*d - 8, 5*j = -3*d - 5. Suppose 0 = -j*n + 4*u - 14, u = -n - n + 11. Let r(v) = -n*v + 2*v + 3*v. Let b(k) = -2*k**2. Calculate b(r(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o**2 + 2*o - 5. Let s(n) = n - 1. Let x(a) = -a**2 - 2*a + 2. Let l(m) = 3*s(m) + x(m). What is -4*l(g) + u(g)?\nAnswer: -2*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13837442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7\/3)*n*(n**(-5\/6)\/n)\/n)**(-8) assuming n is positive.\nAnswer: n**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = h. Suppose h = 4*v - 3*a + 17, -4*a + 5*a - 3 = 0. Let i be 9\/3*(v - -58). Round i to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 1\/40, 4, 0, -31, -2\/65, 4\/3?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2. Let t(h) = 12986072*h. Give y(t(v)).\nAnswer: -337276131978368*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*((-175)\/10)\/(-5). Solve s + r = -5*u, 0*s - 4*u = 3*s - 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 84*m - 473. Let o be p(73). Is 330 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24*(-39)\/(-624)*22*-1\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1756 + 1791. Solve 11*p - n*p - 96 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -391332?\nAnswer: 391327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 962175, 1924305, 2886435, 3848565, 4810695, 5772825?\nAnswer: 6734955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 2, 7056 in ascending order.\nAnswer: -2, 2, 4, 7056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -4513\nAnswer: -1\/4513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o + 33. Let v be w(-8). Sort v, 52, -3 in decreasing order.\nAnswer: 52, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g + 3. Give h(8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 - 4*t + 46. Determine o(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1137 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 69*t - 26*t - 3*t**4 - t**3 + 97*t)*(2 - 2 - 2).\nAnswer: 6*t**4 + 2*t**3 - 4*t + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n. Let g(y) be the second derivative of -406*y**3 - y**2 + 833*y. Determine g(h(r)).\nAnswer: -2436*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42.92 + -29.08. Let a = 1732067277.9999971 - 1732067206. Let g = a + d. Round g to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s - 18 + 19 + 41*s.\nAnswer: 29*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a gram in milligrams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 1, 7.9.\nAnswer: -18, 1, 7.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-204)\/680*13\/(-3) + (-9)\/(-45)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 240960 and 1600?\nAnswer: 1204800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3034*i + 279*i**2 - 1495*i - 1539*i - 413*i**2 - 597*i**2.\nAnswer: -731*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -213?\nAnswer: -1065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/218542 and -7\/452?\nAnswer: 437084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**4 - 144*g**3 - 4812*g**2 + 5760*g + 537600 = 0. Calculate g.\nAnswer: -16, 10, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 47*a - 412. Let u(z) = 15*z - 131. Let s(m) = -6*n(m) + 19*u(m). What is s(-14)?\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 66 = -41, 0 = -t + p + 8521. What are the prime factors of t?\nAnswer: 2, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 638 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12535*p**2 + 11479*p**2 + 39895*p**2.\nAnswer: 38839*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 89?\nAnswer: -6\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6425 + -216?\nAnswer: -6644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11022100 (base 3) to base 5\nAnswer: 100031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 - 69. Let a = 34 - g. Let y be 1 - -7*(-3)\/15. Put y, 2\/5, a in decreasing order.\nAnswer: 2\/5, y, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2518993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 63 = 5*g - 1, -2*g + 6 = 0. Solve 65*v - t*v = -12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**5\/60 - j**4\/2 + 2*j**3 - 2*j**2. Let y be p(11). Suppose 4*w - y = 3*w. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 171889673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 892674 and 915?\nAnswer: 4463370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(130)\/(sqrt(70)\/sqrt(7)) + -3 - (4 + 5*2*sqrt(13))).\nAnswer: -27*sqrt(13) - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkkkbbbbkkkb?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/76 and 101\/544?\nAnswer: 10336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30 - ((-3 - 3) + 4). Let d be 16\/(-4) - -8 - z. What is d rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 480 divided by -5\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39994.\nAnswer: 2, 19997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2290398437?\nAnswer: 3307, 692591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 897191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*m + 12. Suppose 0 = 4*b - c - 21, -2*b + m = 5*c - 2. What is the smallest common multiple of 2 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 11062*g + 3200*g + 5658*g - 23.\nAnswer: 19920*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 823 divided by 290450\nAnswer: 823\/290450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-16)\/(-4))\/1)\/(-2*18\/9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*i + 67 + 11 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3323 + 3326. Let x(y) be the first derivative of 14 + 1\/8*y**4 + 3\/2*y - 1\/2*y**v - 1\/4*y**2. Factor x(w).\nAnswer: (w - 3)*(w - 1)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 67*t - 8. Let d be l(8). Suppose d + 67 = 5*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.307 - 0.043. Let h = c + 1.634. What is h rounded to 2 decimal places?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-15))\/(1\/(-6)). Let h be o\/8 + (-13)\/20. Sort 6, 2, h in decreasing order.\nAnswer: 6, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g - 4. Let k be d(-2). Suppose 8 = 4*o - k. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8 + -3)*(1 + 0). Suppose -5*v = 2*m + 2 + 10, -c*v - m = 11. Let w be v\/8 - (-1)\/4. What is the second smallest value in w, 0.5, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**3 - 6*s**2 + 7*s + 10. Let k be b(-3). Suppose 10*l = k*l - 42. Let q be 0 + -1 - -1*6. Solve 2*v - l = -a, -a = -q*a + 3*v - 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**3 - 106*z**2 + 13*z + 185. What are the prime factors of r(53)?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -193*d + 10 + 10 - 11. Is p(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101641820.\nAnswer: 2, 5, 7, 726013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -94 + 206. What is the greatest common divisor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-18))\/(20\/174). Let m = w + -4\/15. Do -0.1 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = 280*z + 222 + 1009. Let s(i) = -22*i + 8. Let k(x) = -4 + 1 + 9*x + 0. Determine z*s(n) - 12*k(n).\nAnswer: 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 1:41 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**6)\/(q\/q**5*q))\/(q**(-1))**(2\/13)*(q**(2\/5)*q*q**(-3))**(-8) assuming q is positive.\nAnswer: q**(712\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2205177.73 - -0.08\nAnswer: 2205177.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19086953.\nAnswer: 79, 359, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 333 - 338. What is the closest to -0.2 in 103, k, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 513583938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5 + 1087*b**4 + 12995*b**3 + 15761*b**2 + 3850*b = 0. Calculate b.\nAnswer: -350, -11, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -121 - -22?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*x + 633 - 170, 5*x + 490 = k. Is 19 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84173981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 4:36 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 10.4, -33441 in descending order.\nAnswer: 10.4, 1\/5, -33441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence le when two letters picked without replacement from {g: 1, b: 1, e: 1, l: 1, f: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0.24. Let i = -25.9 + 26. Which is the closest to i? (a) 2 (b) -0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2044 + 375 = -37*o - 448 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 4)*(11893*u - 1779*u**3 - 11893*u + (-3*u + 3*u - 2*u)*(u**2 + 2*u**2 - 4*u**2)).\nAnswer: 3554*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*p**2 + 0 + 0*p - 4\/7*p**4 - 2\/7*p**5 + 0*p**3 = 0. What is p?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4)*-2 - -4. Let g(p) = 2*p**3 - p**3 + 10*p**2 + 8*p + 2*p**3 - p**j. Let a(o) = o**2 + o. Let u(c) = 6*a(c) - g(c). Factor u(q).\nAnswer: -2*q*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 27212901.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100112 is divided by 6763.\nAnswer: 5430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -3807.3 to the nearest ten.\nAnswer: -3810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.2 + 0.2. Which is the third smallest value? (a) -1 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*sqrt(1584) + -5)**2 - sqrt(1584)) - ((sqrt(165)\/sqrt(5))\/sqrt(3) + sqrt(22)\/sqrt(2) + -3).\nAnswer: 454*sqrt(11) + 12725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 9 - 13 = 0, 0 = -3*b + 2*h - 17. Let f = 7 + -2. Let u(c) = c**3 - 6*c**2 + 5*c - 7. Let n be u(f). Is b smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58994 to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 10:14 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 0.34, 6?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*r + 8133 - 7173 = 0 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 404543?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-116)\/551)\/(5*16\/(-12920))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 2, -4 in decreasing order.\nAnswer: 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 736829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*h - 0*c - 2582, 5*h + c = -6488. Let b = h - -2703. Is b\/6 + 24\/9 + -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/9 - 610430*x**2\/3.\nAnswer: 2*x**2*(x - 915645)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 11*d + 11. Let u be i(12). Let v be (-3)\/(12\/(-9) - u). Let x = 27 - 9. What is the greatest common factor of v and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -872*b**5\/5 - 1775*b**2\/2 + 1872. Find the second derivative of n(g) wrt g.\nAnswer: -10464*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*z = -5*d + 40*z - 45, 4*z - 1 = -3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*w + 307 = 438*w - 1640. Factor 3\/5*v**4 + 3\/5*v**w + 0*v + 0 - 6\/5*v**2.\nAnswer: 3*v**2*(v - 1)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -108*v + 105*v + 6. Let n(w) = w**3 - 3*w**2 + 5*w. Let a(k) = -2*k**3 + 4*k**2 - 6*k - 1. Let m(j) = -3*a(j) - 4*n(j). Is 12 a factor of m(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -1642, -0.3, -0.042?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 226\/7*17\/85. Let n = g + -5\/14. Let y = -14563\/9 + 1620. Find the common denominator of n and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(76\/19)*(4\/2)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.8 and -6.1?\nAnswer: 17.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 551 - 181 - 176 + 9*l - 209. Calculate m(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 10*g**2 - 2*g - 11. Let r be 1\/2 - 84\/8. Let i be w(r). Suppose -z - i + 26 = 0. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 140154 and 3010329.\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x + 3. Let g(j) be the second derivative of -5*j**4\/6 + j**3\/3 + 3*j**2\/2 - 31*j. Let m be g(-1). Let f(c) = 2*c + 1. Calculate m*f(a) + 4*u(a).\nAnswer: -2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 8. Suppose q*f - 6 = 14. Put 1, -4, f in ascending order.\nAnswer: -4, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2713, 2705, 2693, 2677, 2657?\nAnswer: 2633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 164, 381376, 5 in increasing order.\nAnswer: 5, 164, 381376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 9*o - 83. Let y be u(10). Suppose 1436 = y*g + 358. Is g greater than or equal to 155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18326 - 2670*m**2 + 2678*m**2 + 18326.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 798 and 23982294.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 9:29 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.137 times -0.15989?\nAnswer: 0.98124493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3 + (-5*(sqrt(272) + 2) - (3 + sqrt(272) + -1)) + 0)*-2)**2.\nAnswer: 3360*sqrt(17) + 40393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1431.21 rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-10))\/((6 + 0)\/6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + 13. Suppose 33*c**4 + 3*c**2 - 10*c + 2*c**2 - x*c**4 + 8*c**3 + 2*c**3 = 0. What is c?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 96694468318.\nAnswer: 96694468320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.97 + -0.87. What is the fourth biggest value in 5\/3, 0.01, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 0 + (-229 - -236)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8391 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -9340.\nAnswer: -9340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*c - 4*p = -34, -16 = 4*p. Let a = c - 45. Let k = a + 179. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*p + 37 + 48 = 17 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*x + 20, -j + 3*x - 8 = -2*j. Is j a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19.6*-2\nAnswer: 39.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11187\/4 + -2776. What is the common denominator of y and 15\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00146485 to 5 decimal places.\nAnswer: -0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-28)*4)\/(28\/49).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*c + 126, 4*u - 196 = -5*c + 2*c. Let p = c + 59. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 5*p**2 - 3*p + 7. Suppose -106 = -4*l + 5*w, -4*l = -4*w - 0*w - 108. Suppose -l = -8*o - 69. Calculate z(o).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 5*r**2 + 5*r. Give l(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 11*q**2 - 5*q + 43. What are the prime factors of l(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22476383801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, 656, 2719, 6866, 13793?\nAnswer: 24196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - f + 5*f)*(3*f + 3*f - 3*f) + 762 - 49*f**2 - 762.\nAnswer: -40*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -354*d - 1726. Calculate m(-8).\nAnswer: 1106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -179805*l - 15. Let x be g(-1). Let m = x + -1516790. Round m to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + f + 11 = 2*d, 5*d - 10 = -4*f. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4438009883 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) 3 (b) 2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + x**5 - x**2 + (-10*x - 26*x**4 + 10*x)*(-6*x + 6*x + 19*x) - 2*x**2 - 2*x**5 + 2*x**2.\nAnswer: -495*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 14*f**2 - 20*f + 35. Let x be n(12). Solve 6*h + 71 - x = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 242206382 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -40. Calculate the smallest common multiple of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, e: 5}. What is prob of picking 4 m?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-1 - (-11)\/8). Let q be (a\/(-14))\/(4\/(-14)). Let y(k) = k**2 - 3*k + 2. Calculate y(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 25*z - 624. What is the remainder when 39 is divided by h(26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.7 and -1484.53.\nAnswer: -1486.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15120 by 4943.\nAnswer: -15120\/4943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.07 - 46117?\nAnswer: -46113.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1840 greater than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 8*h**2 + 7*h + 3. Let l be p(-7). Let m(x) = 105*x - 5. Let c be m(4). Suppose -s = 2*a - 294, -6*a = -l*a - 5*s - c. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2495303?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 2. Let t(l) = 2*l**3 - 11*l**2 + 40*l - 327. What is the remainder when t(7) is divided by i(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2208 and 11316?\nAnswer: 90528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 2*v - 281. Let r be n(16). Solve 6*t + 3 = 5*t - 2*c, -t = -3*c - r for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 110\/3. Suppose -5*u + 4*d - 145 = 88, -4*u + 2*d = 190. Let c be ((-2)\/(-6))\/(u\/(-42)). What is the nearest to o in -3\/5, c, 3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + c = -3*r + 13, -5 = -r - 2*c. Suppose r*a + 5*p = 931, -4*a + 3*p - 1573 = -9*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 + 319\/5. Factor -1\/5*c**4 - 6\/5*c**2 - v*c**3 - 1\/5 - 4\/5*c.\nAnswer: -(c + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 h when three letters picked without replacement from {x: 1, h: 5, k: 11}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w**3 + 8*w**2 + 6*w - 5. Let o(t) = -t**2 - t + 2. Let l(n) = -6*o(n) - z(n). What is the first derivative of l(y) wrt y?\nAnswer: 27*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -12*z + 26 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7367 + 0.991\nAnswer: -7366.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 2*b + 7*b - 3*b**2 - 7*b to q*b + o + u*b**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2002 - 11034110?\nAnswer: -11040112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (3 - 80\/12). Let t = 5.8 + -2.2. Let c = -4 + t. Put -2, c, s in decreasing order.\nAnswer: s, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 + 198 - 100 + l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2294361 is divided by 2294347.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565150?\nAnswer: 2, 5, 89, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 5*q**2. Let l(i) = 2 + 16*i - 17*i - 5 + 1. Let u(j) = 2*j + 5. Let k(t) = -10*l(t) - 4*u(t). What is k(c(r))?\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/6 and 25\/176.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1501222730534255+-0.3\nAnswer: 1501222730534254.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 1. Let i(z) = -z**2 + 5*z - 11. Let m(j) = 2*i(j) + 22*q(j). Let l(x) = -3*x**2 + 2*x**2 + 2*x**2 - 2*x**2. Determine m(l(o)).\nAnswer: -2*o**4 + 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-15)\/2))\/(12\/20)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, p: 3, c: 3, y: 1}. What is prob of sequence cppc?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -695, -2982, -6769, -12032, -18747?\n\"Answer: 4*u**3 - 774*u**2 + 7*u + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**2\/5 - 227688*v\/5 + 45537 = 0?\nAnswer: 1, 75895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**3 + 129*y**2 + 1181*y - 22. Determine n(-30).\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291*w + 296*w = 9940. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1051828 by -5.\nAnswer: -1051828\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 8*p + 50. Determine m(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 771152184 and 2596.\nAnswer: 2596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 230.211 - -12.509. Round n to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 26 = 4*u, 7*o + 134 = -5*u + 100 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -12*w**2 - 629*w + 2555. Give y(-57).\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -169283 at most as big as -169280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*v**3 - 244 + 502 - 250 to the form l*v**3 + w*v + n*v**2 + q and give l.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -q + 3. Let p(a) = a**2 + 7*a + 9. Let n be p(-6). Let w = q + n. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191619 is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 58443 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2106 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 1 - (2 - -10). Let h = 15 + m. Put 5, -1, h in ascending order.\nAnswer: -1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -1 + 0*k**3 - 2*k**2 + 0*k + 0*k**4 - 4\/5*k**5. What is the second derivative of t(b) wrt b?\nAnswer: -48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - 27*r**2 + 11*r - 13. Let f(g) = -g**3 + 13*g**2 - 5*g + 6. Let i(l) = 6*b(l) + 13*f(l). Is 6 a factor of i(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (335\/(-198) - 1372\/(-882))*(-1)\/3?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 327 or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*n**5 + 0*n**5 + 0*n**5 + (4*n**2 - n**2 + 11*n**2)*(3*n**2 + 2*n**2 - 3*n**2)*(-1 - n + 1).\nAnswer: -36*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/8*(-4)\/(-3). Suppose 19 = -2*z - 3*h, 5*h - 24 = 4*z + 25. Let f(t) = 7*t + 15. Let n(q) = 4*q + 8. Give b*f(c) + z*n(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 7*q + 176. What is the tens digit of q*(-4 + (-18)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from titiqqqqzzzzqqqqqqzt. Give prob of picking 1 t, 1 i, and 2 z.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**4\/6 + 3*a. Let v(j) = -j**2 - 6*j + 7*j - j. Give v(g(q)).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 841, -705, -6?\nAnswer: -705","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 111 (b) 3 (c) -0.068 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**2 + 10*x + x**2 - 9*x + 5*x to r*x**2 + y*x + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 z, and 1 u when three letters picked without replacement from uuuzzbg?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4894644775.14607 - 4894623123. Let d = k - 21652. Let w = -0.145 + d. What is w rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4693, 5157, 5927, 7003, 8385?\nAnswer: 10073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 68893.632ms?\nAnswer: 0.01913712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.98 + -20. Let i = -0.78 + w. Let y = 1.2 - i. Which is the nearest to -6\/7? (a) 0.5 (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4484108983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-20))\/(-7)*45\/(405\/62).\nAnswer: 31\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -5 - (0 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -8, -2\/15, -3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 90 = 4*k, -5*k = 5*b - 3*b + 96. Let x be (-156013)\/(-3) - 2\/6. Let s be x\/(-10) + k\/(-50). What is s rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 3*a**2\/2 + 2*a - 71. Let z(g) = g + 1. Give 3*v(y) - 5*z(y).\nAnswer: 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 2*n - 5, 329*x - 4*n = 327*x + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 5*j - 209, 2*c + 2*c - 236 = 4*j. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -190 + 198. Put 2, k, -4 in increasing order.\nAnswer: -4, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 + 3*z - 3. Let o be w(-3). Suppose 5*x + o = 7*x. Factor 27 + 45*g**4 + 30*g**x + 5*g**2 - 27 + 20*g**5.\nAnswer: 5*g**2*(g + 1)**2*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n - n - 3*n)*(0 + 0 + n) + (-2*n**2 - n**2 + 2*n**2)*(-3 + 3 + 2).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cck when three letters picked without replacement from kcc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 12:30 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(65)*1)\/(sqrt(125)*-3) + -2 + ((5 + sqrt(78)\/sqrt(6))*3)**2.\nAnswer: 1349*sqrt(13)\/15 + 340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**3 - 17*a**2 + 30*a**2 - 24*a**2 wrt a?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 640152 divided by 72\nAnswer: 8891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f = 24 - 144. Solve q + 6 = 2*w, -w + 0*w - f = -2*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 - 15688*u**3 - 378240*u**2 - 2272896*u.\nAnswer: 4*u*(u - 3946)*(u + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = f. Suppose f = -3*x - 3 + 45. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -2*u**4 + 2*u**3\/3 + 5*u**2 + u. Suppose s + 4*c + 0*c = 17, -16 = -5*s + 3*c. Let y be z(s). Round y to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y**3 - 1083*y**2 + 6*y - 19. Give k(0).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*i**6 - 9*i**5 - 2*i**4*x + 980*i**2*x wrt i?\nAnswer: -1800*i**3 - 540*i**2 - 48*i*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3430142243 (base 5) to base 7.\nAnswer: 122061525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 77 + 12*y**3 + 4*y**2 - 5*y**3 - 71 + 0*y**2. Let c(x) = -x**2. Let k(j) = -4*c(j) - s(j). Differentiate k(m) with respect to m.\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*p = -54 + 40 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 2\/25, -2, 1\/9, -32116?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5630.5.\nAnswer: 5630.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 53807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-2)\/((-18)\/303))\/(36\/6) and -47\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 15 - 11)*(0*g + 0*g + g**2).\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (2618\/84)\/17?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-936)\/273)\/(-12)*3556\/8?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.6 or 1?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 5, -8 in ascending order.\nAnswer: -8, -6, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 133092 (base 10) to base 15\nAnswer: 2967c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/2 + 5\/6. Let d be (-16)\/(-30) + 4\/(-12). Let y be ((-3)\/(-12))\/(3\/(-4)). What is the nearest to y in q, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 1 = 13. Let g(u) = u**3 - 7*u**2 - 8*u - 9. Let t(m) = 3*m**3 - 14*m**2 - 17*m - 19. Let j(f) = q*t(f) - 5*g(f). Calculate j(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42 + -45 - (4 - 10). Solve 5*f = -4*w + 2, f + 11 = k*f + 5*w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 88 = -37. Solve -s*d + i = -4, 33*i - 38*i = 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -713*w - 410*w = -2246 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 11:05 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -186658036 and -14.706?\nAnswer: 186658021.294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -141 (base 8) to base 7\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12254346, 12254349, 12254354, 12254361, 12254370, 12254381?\n\"Answer: l**2 + 12254345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-116))\/((-4)\/(-24)). Let b = 284918467\/406 - 701770. Let c = b - f. Is c at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 92*f + 463. Let d be z(-5). Let g be 12\/10 - 0 - 1. Solve 1\/5*r**d + g*r**2 + 0 - 1\/5*r**4 - 1\/5*r = 0 for r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -16, 3 in descending order.\nAnswer: 21, 3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 348\/(-9)*(0 + 3) - 4. What is the remainder when 697 is divided by (-34)\/(-10) + -3 + (-3312)\/f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/27)\/(2\/57) - 3. Let j be -14*1*(-8)\/n. Let b(d) = 4*d - 6. Give b(j).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 8) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2922\/13 - 167303\/650. Let c = p - 122\/25. Let i = 3832 - 42181\/11. Calculate the common denominator of c and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -128*b - 2 + 268*b - 132*b + 0 + 0 + b + (1 + 0 + 0)*(0*b - 2*b + 4*b) to n + v*b and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 514 - 509. What is the nearest to 3 in q, 4, -0.07?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(-18)*-482 - (-2)\/9 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lli when three letters picked without replacement from {l: 3, d: 2, i: 15}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -151*q**7\/42 + 71*q**3\/3 + 191*q + 17. Let t(z) be the first derivative of i(z). Find the second derivative of t(k) wrt k.\nAnswer: -3020*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 3*m + 5, -3*m - 25 = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101214964.\nAnswer: 2, 661, 38281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2661 - 1300 - 1327 + w as a + d*w and give a.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wizwztuwiwiuwzzzut. Give prob of sequence tutu.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(68)*-1 + -1)**2 - (-3 + sqrt(68) + 0 + 3).\nAnswer: -6*sqrt(17) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/10105 and 45\/329423?\nAnswer: 1647115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*p - 4500 = 32*p. What is p rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/(-8) - -12) + -11 + (-5)\/(-4). Which is the closest to -2? (a) -0.1 (b) -0.6 (c) -5 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623623?\nAnswer: 7, 11, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jqq when three letters picked without replacement from {a: 2, j: 6, q: 5}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**2*x + 2*o**2 + 7*o*x**2 + 97*o with respect to x.\nAnswer: 2*o**2 + 14*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, y: 5, t: 2, a: 3, g: 1}. What is prob of picking 1 a, 1 y, and 1 t?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 811080356?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 71640.\nAnswer: 286560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 132?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 24 + -9 + -12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = -3*c + 2478. Suppose -3*j - 3*d + c = -j, 0 = 2*j + 4*d - 174. What is the remainder when j is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 - 5*d**2 + 6*d + 3. Let g be k(0). Let f = -18 - -2.1. Let i = -3.1 + f. What is the closest to 1\/4 in g, i, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 269291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -58. Suppose w = 3*o + 17, t*o + 12 = -4*w + 2*o. Suppose u = 4*a + 1316, 4*a - w*u = -0*u - 1312. What is a rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, o: 13}. Give prob of sequence poo.\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17, 22, 27, 32, 37?\n\"Answer: 5*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozp. Give prob of sequence pz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -281*f + 1925. What is v(7)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -269.11 rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (5\/2)\/(2\/(-2 - -174))?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (27\/(-6))\/((-3)\/4). Let t = s + -4. What is the remainder when 10 is divided by 6\/t + (-2)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -18.9624, -2, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express s - 12*s**2 - 147 + 147 + (-2 + 3 + 0)*(-2 - 4*s**2 + 2) as w + d*s**2 + n*s and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**2 - 125*r - 852. Determine z(-24).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/27 and -115\/6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2166127?\nAnswer: 2166127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26769 is divided by 194?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111635 and 1397455?\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502\/6 + 80\/12 + -6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y. Let g(m) = -m**3 - 2*m**2 + 1. Let j be g(-1). Let x(f) be the first derivative of 1\/3*f**3 + 1 + 0*f**2 + j*f. What is b(x(k))?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18860 and 12328?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-147)\/980 + 4\/16.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.24, -1\/51, -4, 0 in decreasing order.\nAnswer: 0.24, 0, -1\/51, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33721 is divided by 527?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -74168 (base 11) in base 7?\nAnswer: -626613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18648 or -130526\/7?\nAnswer: -18648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1413*m = 230*m - 18928 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 12, s: 7}. What is prob of picking 2 h and 1 s?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 r when two letters picked without replacement from {j: 1, i: 1, r: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - i + 1. Let c(k) be the first derivative of k**4\/2 + k**2\/2 - k + 15. Give -4*b(r) - 4*c(r).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3475386 (base 9) to base 12\nAnswer: -768250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43270 or -43276?\nAnswer: -43270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/12656 and 69\/3164.\nAnswer: 12656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycyyycy. Give prob of picking 1 c and 1 y.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (12\/140)\/(5\/(150\/18))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 12. Sort 4, -1, x in decreasing order.\nAnswer: 4, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/9)\/((-1)\/(-27)). What is the greatest common factor of l and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1362601 is divided by 9520.\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 11*b**3 + 29*b**2 + 6*b + 6. Let k(y) = 9*y**3 + 29*y**2 + 5*y + 5. What is -6*k(q) + 5*l(q)?\nAnswer: q**3 - 29*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 3*u, -4 = 2*t - 5*u + u. Let d(q) = 5*q - 5. Let s be d(t). Solve b - 2*m - 2*m + 11 = 0, 4*b = s*m - 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 + 0)*(-36 + 36 + 2*l)*(10 - 88 - 40) to q + p*l and give p.\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4 - 2*t + 3*t**2 - t**2 + 5*t - t**2. Let z = 34 - 55. Let b be (-22)\/6 + 28\/z. Calculate j(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)*a**(-1\/6)\/a)**(-1) assuming a is positive.\nAnswer: a**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -0.5. Put 2, l, -5 in ascending order.\nAnswer: -5, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 560694.\nAnswer: 6167634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.42413 millilitres in litres?\nAnswer: 0.06942413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 247895851.\nAnswer: -4\/247895851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 916391?\nAnswer: 7, 31, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 7 + 0 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6 + (28\/(-35))\/(63\/75)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 - 13. Suppose 0 = 9*k - s*k - 8. Suppose k*h - 3*y = 780, 0 = 5*y + 5 + 15. Is h a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (228\/(-19))\/(-4*(-1)\/2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/(3289\/110))\/(28\/364)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 71 = -s, -526 = -5*s + 2*h - 171. Calculate the remainder when s is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*i + 4*b, 2*i = -i - b + 11. Let m = -14 - -15. Let o = i - m. Solve -3*x + 24 = 5*j + x, -7 = -o*j + 5*x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 10. Suppose -32 + 20 = 2*i. Determine t(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 21. Suppose 2*s - 5*j + 829 = s, 2*s - f*j + 1628 = 0. Is (s\/(-24))\/((-1)\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*n = -69 + 401 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - (-1 + (-12 - 7))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-4)*j)\/j)\/(j*(j**(1\/6)*j)\/j))\/(j**3\/(j*j**8)) assuming j is positive.\nAnswer: j**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 3. Suppose -3*u + 11 = w, u - 1 = w + i. Solve 34 = -u*q + 14, -2*x - 3*q = 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 11)*(11*z - 11*z - 5*z**5) + 246*z**2 - 246*z**2 + 88*z**5 + 2*z**5 + 1 + z**4 - 1.\nAnswer: 50*z**5 + z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, u: 5, s: 5}. Give prob of picking 1 s and 2 l.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 10272*z + 10272*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*j + 1335 = -1893 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 3)*1\/2. Let s = 39 - 36. Sort r, s, -3 in ascending order.\nAnswer: -3, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -254?\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*(-1)\/(-2) + 1. Suppose -6 - 33 = -r*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108*m + 126*m - 136*m)*(2*m + 2*m - 3*m)*(-m**2 - 1 + 1).\nAnswer: -98*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-12)*1)\/((-770)\/2310)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 17 = -2*k - 33, 0 = 3*k + z + 75. Calculate the remainder when 6\/12 - k\/4*182 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*c = -6, 2*r - 17 - 6 = 3*c. What is the highest common divisor of 95 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) -3\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2225975927 to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -39*n + 10. Let t(y) = -y - 2. Determine q(i) + 6*t(i).\nAnswer: -45*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15\/2 (b) 1\/61 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/3)*p\/(p\/p**(-3)))\/(p*p\/(((p**(-4)\/p)\/p)\/p)*p*p**8))**34 assuming p is positive.\nAnswer: p**(-2176\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16795*r**3 + 124*r**2 + 2*r - 14829755 wrt r?\nAnswer: -50385*r**2 + 248*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7851, -7811, -7785, -7773?\nAnswer: -7775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 856416 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 + 1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/(-60)*(-5)\/2. Suppose 0 = -h - 6*s + 4*s - 12, p*s + 4 = h. Which is smaller: h or -21\/5?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 2*p - 2*p + 3 + 11*p - 3 - 2*p + 5*p - p - p - 2*p + 2*p + (2 + 0 - 4)*(0*p - p + 2*p) + p - 6*p + 0*p + 3*p - 2*p + 2*p.\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-930)\/(-1085))\/((-20)\/70)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4746351413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 289369269 a multiple of 823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.165 * -15.\nAnswer: -2.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 7:42 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -39798, -79820, -119844, -159870, -199898?\n\"Answer: -a**2 - 40019*a + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.4, 3.12, 4, -0.4 in decreasing order.\nAnswer: 4, 3.12, 3, 0.4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -15, 0.01, -1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxb when three letters picked without replacement from bxbbxb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15880629?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 161*t - 1. Let j be w(2). Let b = -98 + j. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 164.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*u = 2712 + 5137 + 2539 for u.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -47846148 divided by -2\nAnswer: 23923074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 8. Round k to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (14269\/1995 + (-10)\/35)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 1, k: 3, t: 3, u: 6}. Give prob of sequence muk.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 7429228?\nAnswer: 7429228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 510 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -0*d + 76. Calculate the remainder when 74 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 10 - ((-3)\/(-1))\/3. Let s = x + -6. Find the third derivative of -s*y**6 - y**6 + y**6 - 12*y**2 + y**6 wrt y.\nAnswer: -120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 29, 27, 25, 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, f: 1, l: 6, e: 3, a: 2}. Give prob of sequence ee.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x + 1. Let u = 10 - 9. Suppose 2*j - a = 5, -4*j - 4*a = u + 7. Let k(s) = 8*s - 7. Calculate j*k(q) + 6*v(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -4643 to the nearest one hundred.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 193988*u**3 + 789*u**2 + 25.\nAnswer: 1163928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = -3*u + 50. Let s be ((-1)\/(-10))\/(7\/u). Let g = -1.2 - -1.6. Sort -0.5, g, s in increasing order.\nAnswer: -0.5, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/9975*-19)\/(21\/(-35))\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54725 and 11325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p*p**(-1\/4))*p*p)\/p*p**(-8)*p)**(3\/13) assuming p is positive.\nAnswer: p**(-57\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -27, -40, -73, -138, -247, -412, -645?\n\"Answer: -2*r**3 + 2*r**2 - 5*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/94672 and 67\/1704096.\nAnswer: 1704096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 5, -386.52?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 252, 245, 234, 219, 200, 177?\n\"Answer: -2*m**2 - m + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -65, -1, 151, 29 in increasing order.\nAnswer: -65, -1, 2, 29, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*k**3)*(-2790*k + 2790*k + 1 - 15*k**2).\nAnswer: -30*k**5 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*8085\/(-490)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-72)\/45 - (-2)\/(-5). Suppose -49*g = -86*g + 73*g - 2052. Put q, g, -4 in ascending order.\nAnswer: -4, q, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2. Let d(f) = -221913*f**2. What is w(d(g))?\nAnswer: -49245379569*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8, 26, 100, 214, 368, 562?\n\"Answer: 20*p**2 - 26*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -215 and 1.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/95, -4\/3, -0.7, 5, -2\/9?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.082 * 60\nAnswer: -4.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*f - 175 = 4*b - 275, b = f + 4*f + 25 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3472069839 rounded to 3 dps?\nAnswer: -0.347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**3 - 6*g**2 - 5. Let k(p) = -2*p**3 + 3*p**2 + 3. Let o(y) = -5*k(y) - 3*q(y). What is the third derivative of o(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/9 (b) -4 (c) -1\/3 (d) -0.153 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 8:08 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*l**3 + 81*l**3 - 242*l**3 + 86*l**3.\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 3*w = 3, -14*v + 11*v = 5*w - 19 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g + 18. Let w be n(15). Suppose -5*h = -t + 2*t - 13, -h = -w. Is 2 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*v + 335, -i - 2*v - 242 = -5*i. Let m = 29201\/8 - 3655. Calculate the common denominator of i\/4*12\/(-15) and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016660035585 rounded to four decimal places?\nAnswer: 0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 9 + 7. Suppose -5*w + x*i + 101 = -107, -2*w - 4*i + 72 = 0. Suppose -4*l = -5*s + w, -l = -5*s + 2*l + 35. Solve -3 = -s*u + 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**8\/336 - o**7\/35 - 3*o**6\/40 - o**5\/15 - 29*o**2. Let m(t) = 0. Calculate t.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224224 and 14364896?\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 166103 (base 7) to base 4\nAnswer: 20020223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/148612596 and 71\/553080.\nAnswer: 1486125960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, t: 1}. Give prob of picking 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 37325998 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6) - 22\/(-3). Let q(b) = 20*b + 3. Let s(u) = 13*u + 2. Let x(c) = a*s(c) - 5*q(c). List the prime factors of x(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.3 + 20. What is the biggest value in 3, d, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h = 4*n + 1724, 5*h = 2*n + 2146. Suppose 132 + h = 5*p. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-136)\/(-22) + (-4)\/22. Is 4\/12 + 112\/o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.351 (b) 0.03 (c) 3 (d) 5035\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11943, -12186, -12441, -12708, -12987, -13278?\nAnswer: -13581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 54310897 times 2?\nAnswer: 108621794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(102)*-4*-4)\/((-2*sqrt(216) - sqrt(216))\/(sqrt(4) - sqrt(324)*-2)).\nAnswer: 608*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 7 = -1. Let m = p - 1. Which is the nearest to -0.1? (a) 1\/6 (b) 5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-36 - -34)*90\/12*3866\/(-6).\nAnswer: 5, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*v = -161, 109 - 29 = 2*s - 2*v. Suppose 3*z = 6*z - 117. Suppose s*i = z*i + 6. Sort -4, i, -5, -3.\nAnswer: -5, -4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 244545*i**2 + 244515*i**2 - 488830*i**2.\nAnswer: 230*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24)\/(-20)*(-20)\/(-6) - 0. Put -1, a, -5 in decreasing order.\nAnswer: a, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.064 - 0.06400041. Round b to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 56 + 19. Let r be 5\/y - (-38)\/10. Suppose 129 = n + 5*q, -5*n - r*q + 561 = -0*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 d, and 1 r when three letters picked without replacement from {r: 3, h: 4, d: 5, l: 4}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. Suppose y*t + 41 - 121 = 0. Solve f + 5 = -v, 5*f - f = 5*v + t for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*r, -380986*r - 15 = -4*d - 380989*r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00606601 to four decimal places.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 450671569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -159558*n**3*w**3 - 112264*n*w**3 wrt n?\nAnswer: -957348*n*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 59?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q + 7. Let y(i) = i. What is c(m) + 6*y(m)?\nAnswer: -2*m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, q: 2, w: 2, e: 1, x: 5, n: 1}. Give prob of sequence bnx.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(320))**2 + 3 - (-3 + sqrt(320)*-2)) + ((3*sqrt(320))**2 + -5)*4.\nAnswer: 11827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*b*o**5 - 2*b*o**4 - 2*b*o - b - 7*o**3 - 11 wrt o?\nAnswer: -120*b*o**3 - 24*b*o**2 - 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from hhllhhhhlhh.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -579089*b**6 + 2*b**5 + 49*b**2 - 206*b - 2 wrt b.\nAnswer: -69490680*b**3 + 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 151 divided by -91681.\nAnswer: -151\/91681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/4 and -107\/231417522.\nAnswer: 462835044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*w + 45483 = 0, -7 = 3*w - 16. List the prime factors of n.\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 13) in base 12?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/6*18\/(-21) + 12715016589\/10563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17365 + -17361.3982. Let h = 4.5 - 0.9. Let q = d - h. What is q rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/14 and 137\/27584718?\nAnswer: 27584718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 6:06 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**16\/v**26)\/((v*v**(14\/11))\/(v**46*v)) assuming v is positive.\nAnswer: v**(382\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*l**4 + 34815*l**3 - 2455*l**2 - l - 5?\nAnswer: -72*l + 208890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 26 + -11 + (1 - (2 - -4)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b - 31. Let n be w(6). Let y(h) = 2*h**3 - 11*h**2 + 5*h + 3. Let f be y(n). Solve -f*l = -q + 11, -3*q + l = -q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 8*u + 17. Let a be k(9). Calculate the greatest common divisor of a and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 741.446 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20074 and -41?\nAnswer: 823034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159473551 is divided by 464.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 500088.6 millennia to years.\nAnswer: 500088600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1318428?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152*(21\/(-6))\/(-7)*8.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9790517?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22120433963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46 and 460?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286745.\nAnswer: 5, 57349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9017 - 3804. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -22*y**2. Let j(r) = 38*r - 1. Determine j(i(p)).\nAnswer: -836*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 2*v + 90 = 0. Suppose -2*l = -2*m - 5*l + 39, 71 = 3*m + 2*l. What is the highest common divisor of m and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqqqrq. Give prob of picking 2 r and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 678126*g**2 - 15*g - 3920 wrt g.\nAnswer: 1356252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t + 9*t + t - t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 396871236 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (13348\/(-10011))\/((-20)\/(-18))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 20. What is the units digit of r - -9 - (4 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/126, -1\/6, 0.4, 209\/3, 0.5?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/(-20) - (-226)\/110 and (-6)\/40*(-330)\/(-25).\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-10))\/((-25)\/(-150))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.1 - 30.9. Let g = -47 - v. Let b = g + 15.0000047. What is b rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 593 + -597. Let a = -484.69611 - -480.69610955. Let p = b - a. What is p rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (0 - 0 - 12 - (-386 + 179 + 238)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -5\/2, -1, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 1.7, 139, -1, -0.5, -1\/7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 452 in decreasing order.\nAnswer: 452, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2)**(-18))**(-1\/2)*(c**3*c*c*c**0*c)\/(c**1*c*c)**(3\/5) assuming c is positive.\nAnswer: c**(111\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 64 - -7?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3\/x*x)\/(x\/((x*x**(3\/2))\/x)))**8\/((x\/(x\/x**(-1\/3)))**(-19\/5)*x**5*x*(x*(x\/(x*x**4))\/x)\/x) assuming x is positive.\nAnswer: x**(386\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 156 + -32 + 27 - 113.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -28*i**3 - 6*i**2 + 4*i - 6. Let a(j) = j**3 + j**2 + j + 1. Let n(f) = -6*a(f) - s(f). What is the second derivative of n(g) wrt g?\nAnswer: 132*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3734*o**3 + 107781*o**2 wrt o.\nAnswer: 22404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -25 + 30 + 4*z**3 + z + 0*z + 4*z - 5*z**2. Let j(u) = -10*u**3 + 12*u**2 - 12*u - 12. Let h(w) = -w**2 + w. Let f be h(-3). Give f*p(v) - 5*j(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18404*a + 36875*a + 3*a**3 - 18471*a - 4*a**3 + 3*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 less than -18?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7723 - -7899. What is the remainder when 1048 is divided by p?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 862*o - 76 = -w + 858*o, 71 = w - o. What is the remainder when 128 is divided by w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m**3 + 567*m**2 + 2066*m - 552 = 0.\nAnswer: -138, -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/3 > 0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.4 - 4.6. Let m = 0.8 + 4.2. Which is the smallest value? (a) m (b) -0.5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58810 > 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 46*q**2 + 22*q - 24. Let i be h(-19). Suppose -5*c - 10 = 0, -l - 4*c = 3*l - i. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-1))\/8*(-10)\/5\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(3)*-5*-5 - (sqrt(216)\/sqrt(2) + -4).\nAnswer: 6 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w + 19 = w + 7*n, -5*n = w - 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 14695*a. Let p(o) = -157*o**2. Calculate s(p(y)).\nAnswer: -2307115*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**23\/((m*(m\/(m*(m**4*m)\/m*m*m)*m)\/m)\/m))**(-49) assuming m is positive.\nAnswer: m**(-1421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**5\/20 - 5*d**4\/12 + d**3\/2 + 4*d**2 + d. Let y be (75\/200*(13 + -5))\/(6\/8). What is the units digit of n(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 6*i**2 - 19*i + 27. Let s be o(8). Let j be (22\/(-4))\/((-2)\/4). Solve 5*u + s*f + j = 0, u - 1 = 2*f - f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k - 1. Let l(h) = 5*h + 6. Let s(u) = l(u) + 6*x(u). Let r(d) = 10*d. What is r(s(p))?\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/120 and -79\/22872.\nAnswer: 114360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 101*i + 4831. Calculate w(-48).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 9 + 114\/(-18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76\/133)\/((-108)\/(-42))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 5*z - 4, 1 - 13 = -3*o - z. Solve 4*w = -3*c, 5 = -5*c - w - o*w for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, v: 2, l: 2}. 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: Let d = 3380.6 - 3380.60033638. Round d to 5 decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtftfmmdfqtqdqtqf. Give prob of sequence dtm.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 212 + 914 = 0. Let v = -64 - d. Suppose -v*o = -5*o - 4491. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -866747 = -86*p + 726919. Does 29 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 - 5\/((-5)\/4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 11 + 5*u + 117 - 4*u.\nAnswer: u + 115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**3 - 2*w**2 + w - 4. Let h(l) = 14*l**3 + 3*l**2 + 11 + l + 2*l**2 - 4*l. Let y(n) = -2*n**3 - 11. Let b be y(0). Calculate b*r(s) - 4*h(s).\nAnswer: -s**3 + 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-86)\/(-1) + (24\/4 - 7). Let d = s + -88. Put -6, -1, d, 4 in increasing order.\nAnswer: -6, d, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/20)*l)\/l**(-1\/7) assuming l is positive.\nAnswer: l**(139\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/16 and 49\/228.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l + 18. List the prime factors of k(8).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0049828 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7330 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-114 - -119 - (7 - -2 - -1)) + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 5:41 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*c - 2 + 18, -5*c = -2*f + 8. Let l be (-5 - 114\/(-24))*(4 - c). Let z(d) = 17*d**3 - 1. Give z(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9789 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 - (-11676)\/(-15576). Let w = 4\/59 + r. Suppose 4*a + 0*a + 12 = -4*o, -3*o - 2*a = 5. Which is smaller: o or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3179.1 + -3179. What is the third smallest value in a, 1.44, -2\/11?\nAnswer: 1.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 660 and 16.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/18 and 77\/15564.\nAnswer: 46692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 3. Let y be b(-3). Let a(p) = 0*p**3 + 12 - p - p**3 + y*p**3. What are the prime factors of a(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1646 divided by -2\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**2 - 2 + 5 - 1 - 2*n**2 + 4*n**2 - n**2 + (-3*n + 2*n - 4*n)*(0*n - 4*n + 3*n) to the form p*n**2 + b*n + m and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75056.76 micrometers to centimeters.\nAnswer: 7.505676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 5:14 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1961 + 2 - (4 - 1). Let m = 488 + -484. Suppose -1798 = -3*q + 4*t - 321, 3*t + s = m*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*z**2 + 118*z**2 - 31*z**2 in the form h*z**2 + c + g*z and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**21\/y)\/(y\/(y*y**(-21)\/y)) assuming y is positive.\nAnswer: 1\/y","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(36)\/sqrt(3)) - (sqrt(7) + 4*sqrt(28) + sqrt(7)).\nAnswer: -9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 443407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/13143 and 53\/630.\nAnswer: 2760030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpmax. Give prob of picking 1 p and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 11*j - 7. What is the remainder when m(6) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, u: 2, g: 2, e: 3}. Give prob of picking 1 g, 1 u, 1 e, and 1 q.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50378 to the power of 1\/2, to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.98 - -2.1625. Let t = -112.2825 + d. Round t to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35134*p**2*v*x**3 - 3272*p**2*v*x**2 + 2*p**2*v*x + 216*p**2*x**3 - p**2*x**2 + 274*p*v*x + 2*v*x wrt x.\nAnswer: 210804*p**2*v + 1296*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*g + 0 + 72 = -4*m + 119*g + 112*g - 338*g, 128 = 8*g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50756617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.866 to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 253 - 335 = 0. Suppose -9*f = -7*f - g. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 49?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/6 - (-269)\/3. Let d = -3 - -6. Let i be (-162)\/(-3)*2\/d. Calculate the greatest common divisor of i and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1946 is divided by 171.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6993 != 6971?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -340, -4, -8, -5, 5, -1 in decreasing order.\nAnswer: 5, -1, -4, -5, -8, -340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 divided by -168627?\nAnswer: 134\/168627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -18. Let s(r) = r**2 + 4*r + 6. Determine s(m).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7883 + 7882.97. Which is the nearest to o? (a) 0.3 (b) 76 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 - 14.3?\nAnswer: -14.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 79 + 74 = 0. Let d = 47 + z. Let f be ((-4)\/16)\/(1\/d). Sort -3, -4, -5, f.\nAnswer: -5, -4, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -531*j - 195. Calculate x(-2).\nAnswer: 867","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvjjjjiiiii. Give prob of picking 1 v and 2 i.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 + (-6 + 2 - 3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 91464 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 36891527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1028*a**2*c**2 + 706219*a**2*c - 45598*c**2 + 11*c wrt c?\nAnswer: 2056*a**2 - 91196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9438012 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -104.8 - -105. Suppose -4*q + 5 - 1 = 2*k, 0 = 2*k - 5*q + 32. Let o be (-36)\/(-60) - k\/(-10). Which is the closest to o? (a) -3 (b) 0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 13*t - 18. What is the remainder when 35 is divided by r(10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 513, 544, 573, 600?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -91*d*h**4 + 7417*d + 67*h**2 with respect to h.\nAnswer: -364*d*h**3 + 134*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, s: 1, j: 5}. What is prob of sequence syj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.4 * -50.\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 287*t + 207. Let o(x) = -3. Let m(f) = -g(f) + 6*o(f). Differentiate m(l) with respect to l.\nAnswer: -287","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 355471 + -355471.1400532. Let n = k + 0.14. Round n to 6 dps.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10619, 21238, 31853, 42464?\n\"Answer: -2*f**2 + 10625*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -5 (c) -426\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+8537\nAnswer: 8536.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 6*h - 6 = 0. Let u be 40\/50*(h - -7). Let a be 0\/(-4*(-2)\/4). Sort u, a, -1 in ascending order.\nAnswer: -1, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(448) + (1 + sqrt(112) + sqrt(7))**2 + (-2 + (-1*sqrt(7) - sqrt(7)))**2 + -3*4*sqrt(7).\nAnswer: -26*sqrt(7) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of f**5\/15 - f**4 - 7*f**3\/2 + 24*f**2. Let t be ((864\/30)\/(-8))\/((-6)\/20). Is g(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -4, 149 in ascending order.\nAnswer: -4, 0.06, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (6 + -1) - (-179 - -174)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 175*b**6\/12 + b**5\/60 + 9*b**4\/8 + 25*b**3\/3 - 2986*b**2 - 2. Find the second derivative of z(q) wrt q.\nAnswer: 10500*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24923261 to the power of 1\/2, to the nearest integer?\nAnswer: 4992","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3 (b) 0.06 (c) 1.051 (d) -3\/7 (e) -0.1 (f) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbcb. Give prob of picking 1 c and 1 b.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 482*s = 487*s - 13, -49*y + 23 = -5*s + 244 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 5. Let l be c(-7). Let b(y) = 7*y - 13. Let f(n) = 20*n - 39. Let q(w) = -8*b(w) + 3*f(w). Let m(k) = -k + 3. Determine l*q(p) - 9*m(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 10*y**2 - 168*y - 1988. What is l(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 348 = 5*q - 0*q, -y + 3*q - 94 = 0. Let n = y - -82. Let j be ((-4)\/(-2))\/(-1*1). Sort 5, j, n in decreasing order.\nAnswer: 5, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40 - -38. Let k be (1 + 3)*(-9)\/u. Calculate the highest common divisor of 162 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-316)\/(-2370))\/((-3)\/5). Put -4\/7, j, -1\/3, -10.4 in increasing order.\nAnswer: -10.4, -4\/7, -1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1. Let k = 7 - 5. Let a(j) be the third derivative of j**4\/24 + j**3 - 2*j**2. Give k*a(v) - 11*n(v).\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kskbycs. Give prob of sequence bcsk.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (17 - (-12 - -11 - -30))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0 - -54) + (24826 - 24841)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + 8*s**2 + 5*s - 10. Let d be c(-8). Let a be (-4)\/10 - 1420\/d. Suppose 3 - a = -5*t. Solve -4*h + 3*h - t = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 77544 and 101956.\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1214*f = -1212*f - 10. Factor -2 - 6*p**2 + f + 84*p**3 - 87*p**3 + 3*p + 3.\nAnswer: -3*(p - 1)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2124453 (base 6) to base 14.\nAnswer: 2a241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 8*g + 0*g + 2)*((0 - 1 - 1)*(181 - 14 - 15) + (1 - 2 + 0)*(2 + 0 - 1)).\nAnswer: 3355*g - 610","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 39\/5*x**2 + 507\/5*x + 1\/5*x**3 - 23. Let g(m) = 0. Calculate m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = 3*r - 10, -34*w + 2*r = -29*w - 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 2\/3 (c) 2588855\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 135688444 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1289284157?\nAnswer: 7, 157, 953, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*i - 0*i. Suppose 4*c = -3*g + 160, 5*g - i*c = 227 - 7. What is the greatest common divisor of g and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from rkrhkkrmmk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + -686310?\nAnswer: -686303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 1\/2 (c) 466 (d) 5 (e) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -41*z. Let u(f) = -39*f - 1. Calculate -3*a(r) + 2*u(r).\nAnswer: 45*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 18. Let w be 1*z\/((5\/(-7))\/5). Let c = w - 55. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9471890 to the nearest one hundred thousand.\nAnswer: 9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 132 and 1298?\nAnswer: 7788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5881 + -5881.04339. What is x rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, -2\/63, -2\/17 in descending order.\nAnswer: -2\/63, -2\/25, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -b**3\/3 - 3*b**2 + 6*b + 398. Let c(w) = -3*w**2 - 17*w + 18. Give -6*c(v) + 17*h(v).\nAnswer: v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1202122201 - -11?\nAnswer: -1202122130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 15*z - 8, 0 = -h - z - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 6:18 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9}. What is prob of picking 2 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-14)*s\/s**(-13))\/(s**(-4)*s**(2\/3)) assuming s is positive.\nAnswer: s**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5593*m**4 + m**2 - 11*m + 2. Let r(d) = 8389*d**4 + 2*d**2 - 16*d + 3. Let h(i) = -10*g(i) + 7*r(i). What is the third derivative of h(x) wrt x?\nAnswer: 67032*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5256281 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 - 12*u + 17. Let z be i(-13). Let f be 2 - (-345)\/(-6) - -3. Let r = f + 51. Which is the third biggest value? (a) r (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*s + 3*s + 2*s)*(2 + 1 - 1) + 3*s + 2*s - 3*s)*(-47*s - 11*s + 9*s + (2 + 0 + 0)*(3 - 3 + 2*s) - s + 0*s + 0*s) as w*s**2 + a + u*s and give w.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (10 + -11 - (-10 - 2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**4*p - 142*c*r + 2*p*r - 19*r - 1 wrt c.\nAnswer: 4*c**3*p - 142*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-9)*y)\/y**(-5\/2))\/((y\/(y**(-8\/5)*y)*y)\/y**(3\/16)))**(-47) assuming y is positive.\nAnswer: y**(-41689\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -41644 and 17606102?\nAnswer: 17647746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -4. What is the common denominator of (i\/(-12))\/((-2)\/29) and 3\/(-12) + 255\/(-84)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417 = -4*c + 235. Suppose c = -7*g + 807. Calculate the greatest common divisor of 46 and g.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 + 255*a**3 - 1995*a**2 - 2255*a.\nAnswer: -5*a*(a - 41)*(a - 11)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 64 = 5*q, 4*q - q + 2*w = -46. Let x(f) = 7*f - 26. Let m be x(-9). Let d = 76 + m. Which is smaller: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 96\/(-1088)*248.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 2*b - 8*t - 4, -2*b + 8 = 2*t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/(-75)*385\/(-4) and -41\/34.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 5*i - 5. Let d be o(-2). Is d < 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(11) + 4 + 0 + 1*sqrt(704) + ((2*sqrt(605))\/sqrt(11))\/(sqrt(5) - (sqrt(5) + (sqrt(45)\/(-3*sqrt(9)) - sqrt(5)))))**2.\nAnswer: 100*sqrt(11) + 6939\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000086226844 to 6 decimal places.\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -2\/3, -90, 2?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247, -1789, -5843, -13627, -26359, -45257, -71539, -106423?\nAnswer: -151127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*d**2 + 37*d**2 - 94*d**2.\nAnswer: -23*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*i + 186*i - 83*i + 391 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, c: 2}. Give prob of picking 1 c and 2 t.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 71285 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*6\/4*(-102)\/(-73). Are p and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6639105 to the nearest integer?\nAnswer: 2577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-4\/3)*(o*o**(2\/3))\/o*o**(-8)*o\/(o\/((o\/((o\/(o\/(o**(2\/9)*o))*o)\/o)*o)\/o)) assuming o is positive.\nAnswer: o**(-71\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from ccccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -625839487*t**5 - 96*t + 1153088?\nAnswer: -12516789740*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.09 - -6. Let c = w + 0.02. Let b = -3.33 + c. What is b rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -35*d - 1. Suppose -180*v + 188*v - 16 = 0. Let u be ((32\/24)\/v)\/(2\/(-3)). Calculate g(u).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -306, -441, -550, -621, -642, -601, -486?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 214, -0.2, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1589682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - d**2 - d - 4. Suppose -5*k - 3*s = -0*k - 6, -4 = -3*k - 2*s. Determine z(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = u + 5. Let h = 27 + -18. What is the remainder when h is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3420*y**3 - 3*y**2 - 57*y + 103. What are the prime factors of g(2)?\nAnswer: 27337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3979c (base 13) in base 3?\nAnswer: 12102110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2. Let n(w) = 54280*w. Give b(n(y)).\nAnswer: -5892636800*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o + 1. Let u = o - -4. Suppose -u*b + 2*m = -5*b + 22, -2*b + 3*m = -27. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -23, -32, -51, -86, -143, -228, -347?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-10.4.\nAnswer: -41.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-51)\/(-2)*(-4)\/(-6). Suppose 5*a + 55 = o, -2*a - 12 = o + c. What are the prime factors of (-1)\/2 + (-138)\/a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2754)\/45*(-1)\/4 + 1108\/(-1385)?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2 + 160*a + 1800 = 0 for a.\nAnswer: -10, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -3849, 12\/13?\nAnswer: -3849","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4139430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20262 divided by 6754.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11544 (base 7) to base 9\nAnswer: 4126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**19*l)**42 assuming l is positive.\nAnswer: l**840","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*r - 5265 = -11*r + 8*r - 30*r for r.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 164*l**3 + l**2 - 54*l + 54. Calculate h(1).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y - 2. Let q = -76 + 71. Let b(m) = 2*m + 2. Calculate q*b(c) - 6*i(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 595014 or 595024?\nAnswer: 595014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.97 + 3.23. Let n = y - 29. Sort n, 5\/6, 0.4 in descending order.\nAnswer: 5\/6, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r**2 - 40*r + 7. Let s(g) = 115*g + 188*g + 122*g - 427*g. Give s(h(l)).\nAnswer: 16*l**2 + 80*l - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (17\/(-5) + (-6)\/(-2)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f - 2*f + f**3 - 36*f**2 + 39*f**2.\nAnswer: f**2*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p**3 - 11*p. Let y = 139583 + -139579. Suppose -5*q - 19 = 4*m, -m + 3*q - 37 = m. Let z(b) = -b**3 - 4*b. What is m*z(o) + y*t(o)?\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 2*o + 70. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 4 + 4)*(-3*p**2 + 3*p**2 + p**2) + p**2 + p**3 - p**2 + (4*p - 5*p - p)*(5 + 2*p**2 - 5) - p**3 + 8*p**3 - 2*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 19*f**2 - 20*f - 18. What is the least common multiple of p(-18) and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344 = 101*g + 71*g. Is 100\/147 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 13. Let o(r) = 2*r**2 - 26*r + 3. Let f(k) = -7*k - 29. Let h be f(-6). Let q be o(h). Does z = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19978 - 11085. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 3*l - 594. What are the prime factors of l?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -89*t - 42. Let g be u(-4). Suppose -g*l + 311*l = 6. Suppose 0*w - 4*w = 16. Which is the nearest to l? (a) w (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + 0.1. Let f = 0.21 - 0.41. Which is the closest to -2\/3? (a) f (b) -0.4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123495 and 480.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 6. Suppose 0 = -v*x + x - 120. Let y be 2525\/(-2)*x\/(-1). Round y to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-6) + 85\/(-30) + 4. Let t(z) = -13*z**2 + 15*z + 1. Let k(n) = 6*n**2 - 7*n. Let c(m) = 7*k(m) + 3*t(m). What is c(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*c**2*y**2 - 3*c*y - y**2 - 1 wrt c.\nAnswer: 172*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.5 or 4.6467?\nAnswer: 4.6467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2964 and 18.\nAnswer: 8892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -43*y - 85. Let l(h) = 15*h + 30. Let a(x) = -6*b(x) - 17*l(x). Let g(i) = -16*i. Calculate a(g(t)).\nAnswer: -48*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6\/14149?\nAnswer: -6\/14149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 11. Find the common denominator of 13\/h*27\/10 and -49\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q + 69 + 9 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/17703 and 11\/22575.\nAnswer: 19030725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -2737241.\nAnswer: 1368620.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7606 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*s = -3*n + 80, 4*n = -2*s + 108. Let v = n + -127\/5. Put -5, 2\/5, v in decreasing order.\nAnswer: v, 2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -350 - -373. Let o = -21978.2962 + 21955.3. Let w = x + o. What is w rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.75 + -1214520.\nAnswer: -1214521.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 3*s**2\/5 + 876*s\/5 + 873\/5 = 0.\nAnswer: -291, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1412*h + 0 + 1671*h + 0.\nAnswer: 259*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4*w. Let k be 344\/252 + 0 - 8\/36. Which is smaller: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*q + 63*q - 12 = 0. Calculate the smallest common multiple of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5604742304 rounded to two decimal places?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8648 + 1778 + 2*d**2 - 4*d**2.\nAnswer: -2*d**2 - 6870","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/84 - 192\/(-28) - 89. Which is bigger: u or -407\/5?\nAnswer: -407\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 195 = -i. What are the prime factors of i?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.46, -0.17, -0.18, -0.3, -1\/4?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 1 - 11 - 7*x**3 + 6*x**3 + 8*x**2 + 13*x. Calculate k(9).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j*j\/(j\/j**3)*j*j*j)*j**(-4)*j*(j**(-1))**(9\/2) assuming j is positive.\nAnswer: j**(-29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23626 (base 10) to base 7.\nAnswer: -125611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**(-1\/3))\/y*y*y*y**(4\/17)*y*(y\/(y\/(y\/y**(2\/3)*y)))**26)**(1\/24) assuming y is positive.\nAnswer: y**(667\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 41*x**2 + 46*x - 602. Is 3 a factor of w(40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 102 - -47?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17364, 16369, 13646, 8325, -464?\nAnswer: -13591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -4, -3 in increasing order.\nAnswer: -4, -3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5492 divide 1966234856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -2*v - 24, 3*v = -5*y + 5 - 37. Suppose -l = -p - 3, -l - 7 = 5*p - 2*l. Let k be (0 + -2)\/1 - p. Put y, k, -3 in increasing order.\nAnswer: y, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gsp when three letters picked without replacement from {p: 9, z: 1, g: 4, s: 1}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 26 and -149?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207360.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 37, -5, -121, -158, -4.\nAnswer: -158, -121, -5, -4, 3, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from {x: 7, n: 5}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, a: 1, s: 1, u: 4, g: 3, h: 2}. What is prob of picking 1 s and 2 h?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 18*x**2 - 96*x**2 + 5 - 42*x**2 + 10*x. Let u(c) = c**2 + 4*c - 1. Let t(d) = -m(d) + 3*u(d). What is the second derivative of t(l) wrt l?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus 7.3716?\nAnswer: -14.3716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 i when four letters picked without replacement from rqrqidrrrqppprqdprpp.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891)*4 - sqrt(891) - sqrt(891))*2 + 4 + 5)**2.\nAnswer: 648*sqrt(11) + 14337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 577, 4524, 15197, 35956, 70161, 121172, 192349, 287052?\nAnswer: 408641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1739.4 - 1739. Let l be ((-16)\/(-9))\/(-1) + 2. Let d be (-2 - -1)\/((-15)\/(-9)). Which is the biggest value? (a) h (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of d**8\/504 - d**7\/315 - d**6\/60 + d**5\/18 - d**4\/18 - 6*d**2 - 15. Suppose g(x) = 0. What is x?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*j**2*k**2*p**2 + 7*j**2*k**2 - 10*j*k**2*p**2 + 3*j*k*p + 2*k**2*p - k*p**2 wrt j.\nAnswer: -50*k**2*p**2 + 14*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (21 - (3 - -6)) + -2 + -8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*1\/5*-20*(-6)\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 1\/5, -3\/2, -52, -2\/13 in ascending order.\nAnswer: -52, -3\/2, -2\/3, -2\/13, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 24?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23355 by 501.\nAnswer: -7785\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 82741862615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20561901071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68370*w**3*x + 1451*w**2*x**2 + 2*w*x**2 - 2*w*x - w + x**2 - 3*x + 67053 wrt w?\nAnswer: -410220*w*x + 2902*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 2748.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) - 2*sqrt(152) - sqrt(152)) + sqrt(152))\/sqrt(8) + (sqrt(304) - sqrt(304)*1) + (sqrt(76) + sqrt(76)*-2)*4*4.\nAnswer: -33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/1249?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -23414 (base 5) in base 15?\nAnswer: -7a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 198 - 194. Suppose 5*r + 4*a - 270 = 0, 5*r + 0*r = y*a + 230. Calculate the highest common factor of 400 and r.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -0.14, 2\/69 in increasing order.\nAnswer: -0.14, 2\/69, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 5 - (-4 + 1 + -19 + -5).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 - 33 = -20*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (2 - (13 - 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*a**3 - 3945*a + 700*a - 1663*a to p*a**3 + b*a + o + q*a**2 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-270)\/(-63) - (-4)\/(-14). Suppose 0 = 2*b - b - i. Let c(r) = -3 + 7 - 2*r**2 + 4*r**2 - b*r - r**2. What is c(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*b - 147 = 77*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5796*f**2 + 3104*f?\nAnswer: 11592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + m - 4*m + 156 = 0, 4*h - 213 = -5*m. What is the least common multiple of h and 5?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000720333037 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*h**2 - 6*h + 6*h - h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.29 - -0.71. Let w = -0.47 - -0.01. Let c = -0.96 - w. What is the second smallest value in v, c, 1, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -0.5. Let k = 5\/28 - -41\/84. What is the nearest to k in 5, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15 - (-963)\/63) + 2505\/(-77). Let m = p - -350\/11. What is the second biggest value in 0, -5, m, -9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9631065.\nAnswer: 3, 5, 642071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 728 = -2*o, 5*o = -5*l + o + 907. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2036 is divided by 883?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1.4, 5, -0.4, -0.5 in descending order.\nAnswer: 5, 1.4, -0.4, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**6\/k**(-1\/2)*(k\/(k\/(k\/k**(-2\/5))))\/((k\/(k\/(k*k*k**(-6\/5))*k))\/k) assuming k is positive.\nAnswer: k**(91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3627*a**2 + 18*a - 231. Let h(r) = 907*r**2 + 4*r - 52. What is -9*h(j) + 2*u(j)?\nAnswer: -909*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -34, 7\/8, -5, -0.5, 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -91023, -91022, -91021, -91020?\nAnswer: -91019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 391 - 344. Calculate the remainder when r is divided by 16 + ((-3)\/(-3) - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 11227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 19*p - 12. Let y be f(-18). Suppose y*w + 4*w = 2250. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*c = -76*c - 10391 - 4089 for c.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -7786*m + 2474*m - 6646*m + 40*m + 375*m in the form j*m + i and give j.\nAnswer: -11543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 - 60. Let u be 6\/(l\/(-9) + 3). Suppose -4*v = -22 - u. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3393, 4, 3\/10, 3 in descending order.\nAnswer: 4, 3, 3\/10, -0.3393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 123 = 8*a - 3*a, -b = -5*a + 111. Suppose 8*o - 79 = -a. Suppose 0 = -f - 3*s - o, -3*s = s + 12. Solve r = f*v - 5, 0*v - 10 = -5*v + 2*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -790, -3363, -7650, -13651, -21366, -30795, -41938?\n\"Answer: -857*p**2 - 2*p + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*s - 18. Let b = -6 + s. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -49*m + 1. Let s be c(-2). Suppose 2*i - 3*h = 16, 3*i + 2*h = 25 + 12. Let n be (-38 - -36)*i\/(-2). Calculate the greatest common factor of n and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*(-1 + sqrt(5324)) + sqrt(5324))**2 + 1.\nAnswer: -88*sqrt(11) + 5327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -3 + 5 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*g + g + g)*(-3*g**3 + 2*g**3 - g**3 + (-g**2 - 2*g**2 + 5*g**2)*(-2*g + 4*g - 4*g)) to z*g**2 + x*g + o*g**4 + m*g**3 + y and give o.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121 - 64 - 57 + 7622*t**2 to the form l + w*t + y*t**2 and give y.\nAnswer: 7622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -113.67 and 12.8?\nAnswer: 126.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 12) to base 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -4, -15, 5, -17 in increasing order.\nAnswer: -17, -15, -4, -3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73 + -28. Suppose 2*j + 8 = 62. Calculate the remainder when a is divided by ((-8)\/(-6))\/(3\/j).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -105.9 or -745\/241?\nAnswer: -105.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - 35 - (-1 + 7) - (0 - 9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1 + 0 + sqrt(125) + -1*sqrt(125)*-6 + -2)**2 + 5.\nAnswer: -560*sqrt(5) + 6194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*g - 8. Find the third derivative of -2*r**6 - r**g - r**2 - 3*r**6 + 8*r**6 wrt r.\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*(-4 + -2 + 18). Suppose 8 = 3*t - h, 5*t + 0 = -h + p. Solve -12 = -4*r, -3*k + 2*r = -t*r + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100 + 13122201?\nAnswer: 13122101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n**(10\/3)))\/n**(2\/27) assuming n is positive.\nAnswer: n**(-65\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 20, -1, 0 in increasing order.\nAnswer: -3, -1, 0, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-60)*-3 - 58\/(-4). Solve 0 = 8*p - 13*p + t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154743486.\nAnswer: 2, 3, 17, 19, 79847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-82)\/(-48) - 3)*-4 and 1170\/56 + 2 + 60\/(-28)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 6638365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -2. Let h = p + 2.5. Let o = -261 - -262. Which is the smallest value? (a) h (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.4069705 minutes to hours.\nAnswer: 0.040116175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.878667ml to litres.\nAnswer: 0.004878667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 15, a: 4}. Give prob of sequence gg.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 491835422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, k: 5, a: 1, l: 8, g: 2, o: 2}. What is prob of picking 1 a and 1 k?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 2*s**7\/105 - s**5\/30 - s**2 - 1. Let m(t) be the second derivative of k(t). Find the third derivative of m(c) wrt c.\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a day in minutes?\nAnswer: 30960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 12*h - 1. Let a(w) = -11*w + 1. Let b(q) = 7*a(q) + 6*x(q). Let d(g) = 3*g - 1. Let z(m) = 6*m - 100. Let u be z(18). Calculate u*d(t) + 5*b(t).\nAnswer: -t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -232*k + 232*k - 816*k**2 + 950*k**2. Let l(r) = -2*r + 11. Give u(l(p)).\nAnswer: 536*p**2 - 5896*p + 16214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-3 - -4) + -12. Let f be 7 + -5 - q\/8*6. Solve -5*r = 6*r - f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 14*u**2 - 154*u - 150. Let t(j) = 31*j**2 - 307*j - 299. Let v(i) = 13*k(i) - 6*t(i). Solve v(a) = 0 for a.\nAnswer: -39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8028 + -5134. What are the prime factors of y?\nAnswer: 2, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 914010 or 914011?\nAnswer: 914011","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (45\/75)\/(1\/5). Sort -3, -6, v in decreasing order.\nAnswer: v, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -11 + 0 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01224 to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -2. Suppose -25 = -f + 4*c, u = f - 5*f + 5*c + 45. Suppose f*i = 2*y + 2020, -y + 2*y = 5*i - 1020. Round y to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -584 + 0.02.\nAnswer: -583.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36537, 73074, 109615, 146160, 182709?\n\"Answer: 2*t**2 + 36531*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 87*x + 22935. List the prime factors of y(0).\nAnswer: 3, 5, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1958 + -111.0158. What is c rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 435, 894, 1391, 1944, 2571?\nAnswer: 3290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 106072?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1976589960 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 54921.7.\nAnswer: 54924.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-5)\/s**13)**16)**(-3))**22 assuming s is positive.\nAnswer: s**19008","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + 1*(sqrt(243) - (-1 + sqrt(243)))*4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 544138376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - w. Let l = -101822 - -101819. Let v be (2 - (-6)\/(-4))*2. Let f(r) = 2*r**3 - 8*r. What is l*i(z) + v*f(z)?\nAnswer: -z**3 - 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20222627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f - 4 = 0, -2*f = 4*n - 18. Suppose 5*o + 4*i + n = 45, 5 = 5*o - 3*i. What is the remainder when o is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 1 - (-117936)\/(-11830)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 490*h**2 + 619. Let x(n) = 983*n**2 + 1238. Let c(y) = -11*b(y) + 6*x(y). What is the first derivative of c(v) wrt v?\nAnswer: 1016*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j - 25 = 5*o, 2*o + 10 = 4*j. Suppose 0 = 3*b - j*k + 5*k - 31, 2*k = 5*b. Let h = 8 + -5. Solve -h*y = -b*y + 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(5)) - sqrt(20)\/(sqrt(36) - sqrt(4)).\nAnswer: 2 + 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31789187*u**4 + 69817961*u.\nAnswer: 381470244*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t. Let a(x) = 6. Let d(w) = a(w) - 4*g(w). Let l be d(-13). Suppose -l - 322 = -5*j. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -5*n - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -2, -4, 0, 112, -20 in decreasing order.\nAnswer: 112, 1, 0, -1, -2, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 2*z + 60 = 0, 18554 = s - 16*z + 18488 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/16 and 99\/10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 5*i + 5. Let o be y(5). Let f be (20\/(-3))\/(2\/(-9)). Solve 5 = o*u + f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46? (a) -2194 (b) 14 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100211 - 110221?\nAnswer: -211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -58788 not equal to -59155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80760 divided by -3365.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 - 202*q - 881. Give v(-97).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 181 + -187. Let b be -94 - ((-2)\/m - 5\/15). Is 1\/4 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*m - 7*m**5 + 3*m - 7*m wrt m.\nAnswer: -140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n**3. Let a be w(-1). What is the remainder when ((-62)\/(-3))\/(6\/a) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8b309 - 5?\nAnswer: 8b304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 13*k. Let v(i) = 79*i**2 - 3. Let d(x) = 4505*x**2 - 170. Let s(l) = 3*d(l) - 170*v(l). What is j(s(h))?\nAnswer: 1105*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.122 + -0.146. Let v = -1.562 + w. Let u = v - -1.7. Round u to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14 - 0.14. Sort g, -2\/3, 0.2 in decreasing order.\nAnswer: 0.2, g, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267992984 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98 + 103. Let p(v) = -v**3 + 6*v**2 - 6*v + 5. Let k be p(5). Sort n, -4, k.\nAnswer: -4, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18a940 (base 16) to base 7.\nAnswer: 16510634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27785 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 324.688nm in millimeters?\nAnswer: 0.000324688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 5010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -57770018205079032.45000077 - -57770018520743079. Let h = l - 315663888.55. Let a = h + -158. Round a to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -184 + 439. Calculate the greatest common divisor of o and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*b - 3*b + 709 = 0, -3*v - b + 2111 = 0. Suppose -2*o = -c + 241, -c = 2*c - o - v. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-1)\/14*192\/96*(-7)\/6)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6746 divided by 3565\nAnswer: -6746\/3565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 0*m**4 + 1\/40*m**5 + 1\/8*m**2 - 1\/120*m**6 + 0 + 4*m - 1\/12*m**3. Let u(g) = 0. What is g?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -13*t + 1778. Suppose 0 = -2*h - 2*m + t, -h + m - 253 = -3*h. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x - 8*x + 2*x**2 + 8*x + 7*x.\nAnswer: 2*x**2 + 30*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.4, -0.0586?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4935 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21b76 + -4?\nAnswer: -21b7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 + 77. What is the second biggest value in b, -0.16, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1069520, 2139002, 3208484, 4277966?\nAnswer: 5347448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 - 84*w**3 + 729*w**2 - 1680*w - 2496.\nAnswer: 3*(w - 13)*(w - 8)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581*d + 3690 - 907 - 19632 = 0 for d.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**6\/360 - 11*i**5\/120 + 13*i**4\/6 - 29*i**3\/6 + 21*i. Let l(k) be the second derivative of x(k). Is 14 a factor of l(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-5 - -4)*1. Let b be ((-6)\/(-8))\/(-1)*-4. Suppose -2*h + 4*c + 20 = -0*c, -20 = -4*h + b*c. Solve -2*t + p = -3*t - z, 0 = 3*t - h*p - 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6445709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 31, 32, 11, -32?\n\"Answer: -11*t**2 + 34*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.9 - 0.1. Let g = 59\/4 + -15. Which is the smallest value? (a) -4 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 8, r: 3, k: 6}. Give prob of picking 2 y and 1 k.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6308 - -6553. Solve 0 = -258*d + n*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11903727493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.5, -734\/117, -0.3, 0.6 in decreasing order.\nAnswer: 4, 0.6, -0.3, -0.5, -734\/117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12701?\nAnswer: 13, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 19*o**2 + 18*o - 1. Let d be r(-18). What is the common denominator of d + (260\/56 - 2) and 139\/36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 2*x + 2*x)*(-3 + 4 - 2) + (4 - 1 - 4)*(x + 3 - 3) - 7*x + 3*x + 3*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of o**7\/140 - o**5\/120 + 7*o**3\/6 + 7*o**2. Let m(b) be the first derivative of s(b). Find the second derivative of m(i) wrt i.\nAnswer: 36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 378.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -1\/2, 14, 3, -85?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 84\/107?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5 = 4*h, -3*f - h + 11 = -0*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b269 (base 16) in base 7?\nAnswer: 4200425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 682 at most as big as 681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21446 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - 3*x + 20*x)*(-11*x - 52*x**2 + 48*x**2 + 1 + 1).\nAnswer: -92*x**3 - 253*x**2 + 46*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.8744 - -0.0256. Which is smaller: u or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2201012003102 - 10?\nAnswer: -2201012003112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -3 (b) -3\/5 (c) 0.003 (d) -1110\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 105729 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: Suppose 5*j + 2*r = 44, 24*j = 19*j - 5*r + 35. Solve -j = -4*a + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = m - 716, -4*m - x = -1068 - 1901. What is the greatest common divisor of 117 and m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {i: 3, m: 3, k: 3, g: 4}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51780 and 10407780.\nAnswer: 10407780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + sqrt(800)*-2)\/(5*sqrt(40)) + -2 + sqrt(20) + sqrt(5) + (sqrt(5) + -1)*6)**2.\nAnswer: -664*sqrt(5)\/5 + 8169\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.17 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -344, -3 in descending order.\nAnswer: 2, -3, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1368 and -9 + 23699\/1521 - 7.\nAnswer: 17784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -103, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -35*h - 38. Is g(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1992 divided by 4.\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 + 26307*p\/2 - 1053880.\nAnswer: (p - 80)*(p + 52694)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/((-8)\/(-3)))\/((-18)\/48). Solve 0 + 1\/4*i**f + 0*i + 1\/4*i**3 = 0 for i.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + -4 + 3 + sqrt(16)\/(-4*sqrt(8)) - ((sqrt(882) - (1 + sqrt(882)))*-5)**2.\nAnswer: -26 + 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 s when four letters picked without replacement from useeusuuesesieieiue?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 + 2*k**2 + 3*k - 3. Give m(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 26 + 24 = 0. Let y be (-2 - -1)*(t + -1 - -3). Suppose 12 = y*p - 3*p - 2*x, 3 = p - x. Solve 0 = p*m - 3 - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2804 and -12.61.\nAnswer: -12.8904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 = 6. Suppose -q*h = -5*g + 3, -h = 3*g - 7 - 6. Suppose -13 = -h*v - x, -5*v + 28 - 2 = -2*x. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3484.1799 to 0 decimal places.\nAnswer: -3484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1315 and 2565.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(204) + 2*sqrt(204) + sqrt(204)) + 1*1*sqrt(204))\/(1*sqrt(1452)*-1 - (-4*(sqrt(1452) - (sqrt(1452) + 2*sqrt(1452))) - sqrt(1452))) + -3.\nAnswer: -3 - 13*sqrt(17)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*t + 15. Solve 0 = 3*y - 15, t*q + 20 + 0 = -y for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from {j: 3, n: 2, r: 1, d: 6}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 9*p**2 - 8*p + 2. Let t be h(-8). List the prime factors of (0\/t)\/(-2) + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/532)\/(13\/(1001\/22))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rhrh when four letters picked without replacement from rhhh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**4 - 1112724*l**3 - 70093674*l**2 - 1471911588*l - 10303186635 = 0.\nAnswer: -370845, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*t = -903 + 2883 for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 0.32.\nAnswer: 5.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*x**2 - 34*x**2 - 25*x**2 + (4*x + 2*x - 4*x)*(4*x - x - 2*x).\nAnswer: -68*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (760\/4180)\/(7\/(-231)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 4*w = -4*a + 16, 0 = -3*a - 5*w - 36. Let y(s) = s**3 + 7*s**2. Let i be y(a). Is 2\/275 <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 6. Let u(m) = -2*m - 12. Let j(y) = 13*n(y) - 6*u(y). Give j(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/9778 and 53\/76?\nAnswer: 371564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 151982?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 3, l: 1, i: 5, s: 1, o: 4, c: 4}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - (7 - 3)*-1) + -198. Let x = 244 + p. What is the highest common divisor of x and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - g + 103 = 120, 5*g = 5*f - 25 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + (64\/40)\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 2 + (-1398)\/22. Let k = 34567\/594 + g. What is the common denominator of 3267\/330 + -4 + 0 and k?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 9*p**2 + 10*p + 4. Let i be x(-10). Suppose -12*g + i*g + 37176 = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 2*p + 6 = 0. Suppose -x + 2*x = -u + p, x = u + 1. Solve -y - 4*y = u for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/60 + (-10)\/60?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2)*(-1 + 1 - 4*x + (-1 - 1 - 2)*(-2*x - 2*x + 2*x) + 5 - 5 + 3*x + (-2*x - 3*x + x)*(-8 + 1 - 4)) in the form o + j*x and give j.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 343 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 1721*v - 1115. Let k be l(13). What is the greatest common factor of k and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -12*g**3 - g**2 - g - 1. Suppose 4*s = 5*n + 5 + 16, -1 = 5*n + s. What are the prime factors of x(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/9 - 1378*k\/9 + 460\/3.\nAnswer: -2*(k - 1)*(k + 690)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-6)\/a**(-1\/17)*(a**(-3\/4)*a)**(-3) assuming a is positive.\nAnswer: a**(-455\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2355 = 3*p - a + 2*a, -4*p + 3138 = 2*a. Calculate the greatest common divisor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**3\/5 + 11*v**2\/5 - v - 3\/5 = 0.\nAnswer: -1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*i**2 + 3 - 2*i**2 + i - 2*i**2 - i + (2*i + i - 4*i)*(i + i - i).\nAnswer: -7*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/2 and -43\/614.\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 8. Let k be v(-4). Let g be (10 + -13)\/(6\/k). Let n be (1\/(-2))\/((-9)\/72). Solve -r + n = -g*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6098.\nAnswer: 2, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - 0.8. Suppose 25 = -2*u + 7*u. Suppose -3*c - 2*c = -4*j - u, 0 = -2*j. Is c > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/22 and -41\/22194?\nAnswer: 244134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 4*o + 17, -5*q + q - 3*o - 26 = 0. Is q\/(15\/(-9)) - -88 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -7 - 4*h**3 - 5*h**2 + 14*h**3 - 5*h**3 + 0*h**3 - 7*h**3 + 3*h. Let p = -12 + 7. What are the prime factors of c(p)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -134 + 132. What is the biggest value in 99, v, 0?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 2365272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + -1 - (-45528)\/48. Let p = -39919\/42 + d. Calculate the common denominator of -11\/21 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -2\/3, -0.5, -48\/11, -52?\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 9*j**2 - 300*j + 2524. Determine p(32).\nAnswer: 2140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34 + 103\/3. Sort j, 0.1, -2\/13 in decreasing order.\nAnswer: j, 0.1, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - d)*(-4*d + d + 4*d) - 3*d**2 + d**2 + 0*d**2 + 33*d**2 - 563 + 282 + 283.\nAnswer: 30*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 26 = 6*i - i, 2*a - 17 = 3*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 161*s**2 + 26*s - 1. Let q(j) = j. Give w(q(d)).\nAnswer: 161*d**2 + 26*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 5.8. Let d = 5.73 + -6. Let m = d + -0.73. What is the third smallest value in p, -4\/5, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7896185.\nAnswer: 5, 11, 143567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-6))\/(48\/(-9) - -5). Suppose y*j - 390 = -4*x, 3*j = 2*x + 396 + 213. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-4*3\/30)\/(378\/210).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -281.9 + 281. Let d = 0.5 + n. What is the nearest to -1 in d, -1\/7, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 141\/(-15) - (-2)\/5. Let t be y\/6*(-7 - -1). What is the tens digit of -15*(-6)\/t - 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 b when four letters picked without replacement from bjbjjbjbjbjbbmh?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 b when two letters picked without replacement from {b: 2, d: 17}?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -146 - -139. Let j be c - (6 - 51) - 3. Calculate the highest common divisor of 56 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-2)\/(-2) + 3. Suppose -588 = 12*m - 24*m. Suppose v*t = 5*p - 85 - 32, -2*p = -3*t - m. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 19*l**3 + 1 - 21*l**3)*(-9*l - 122 + 27 + 67) as z*l**3 + g + i*l**4 + j*l + t*l**2 and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, g: 14}. Give prob of picking 3 v.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-225)*3*31\/((-186)\/45).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (l + 0*l - 2*l)*(3 + 6 - 3)*(2*l - 6*l + 64 + l) in the form o*l + j + q*l**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16112 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of 8*m**3\/3 + 12*m - 1747. Let c(u) = -7*u**2 - 11. What is 5*c(p) + 4*k(p)?\nAnswer: -3*p**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by ((-41)\/7 - 1)\/(6\/(-21)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*x**2 + 29*x**2 - 10*x**2 + 9 + 21 wrt x?\nAnswer: 66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2017*f**3 - 2*f**2 - 10*f + 10. Let h be u(7). Suppose 2*q - 5*y = 13999980, -4*q - h + 28691657 = -4*y. What is q rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a. Let o(h) = 120*h. Let i be 1 - -10*(-21 - -4). Let s = 104 + i. Let l(v) = -11*v. Let j(z) = s*l(z) - 6*o(z). Calculate r(j(f)).\nAnswer: 30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1872) + 1 + sqrt(1872))*-6 - -4*(sqrt(1872) + (sqrt(1872) - (sqrt(1872) - (sqrt(1872) - (-1 + sqrt(1872)))))**2 + -1 + sqrt(1872)))*-1.\nAnswer: 12 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - w. Let q(j) = j**5 - 4*j**4 + 6*j**3 + 5*j. Let z(u) = -4*p(u) - q(u). Solve z(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 18)*(3*o**4 - 2*o**4 + 2*o**4).\nAnswer: -60*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9334\/9 or 1036?\nAnswer: 1036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209156?\nAnswer: 2, 52289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (14 + 13*l - 2*l**2 - 12 + 0*l)*(l**2 + 2*l**2 - l**2)*(3 + 4 - 6) as y*l**3 + z*l**2 + d*l**4 + r + k*l and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u. Let p(l) = 6*l - 6*l + 314*l**2 - 395*l**2. Determine x(p(o)).\nAnswer: 243*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/10)\/(8\/180). Calculate the common denominator of (-6)\/o - 87\/36 and 101\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p. Suppose 5*i = -5*d + 5 + 5, p = -i - 2*d. Sort 2, -3, i in descending order.\nAnswer: i, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -116*g**3 + 1382*g**2 + 116*g + 54. What is h(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/27802 and 21\/26723.\nAnswer: 742952846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 1 + 1 - 4*q + q + q + (q + 3 - 3)*(1 + 4 + 4))*(-2 + 3 + 2)*(0 + 0 + 1).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(6) - sqrt(2))*1 + (sqrt(18)\/sqrt(729))**2 + (2 + (0 + -2*sqrt(2) + sqrt(2))*3)**2.\nAnswer: -12*sqrt(2) + 1784\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5079414 - -0.4359417?\nAnswer: 0.9438831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 31931 = 2*v, 3*a - 4*v = v + 19140. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + 2*d**3 - 6*d**3)*(2 - 1 + 0) + d**3 + 14*d**3 + 2*d**3.\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184 - 180 + 412*r**3 - 163.\nAnswer: 412*r**3 - 527","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -334173454 divided by -2.\nAnswer: 167086727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -6113391 to the nearest one hundred thousand.\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (14\/4 - 4)\/((-2)\/(-488)). Let y = -120 - w. Sort -0.1, 3, -2\/21, y.\nAnswer: -0.1, -2\/21, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 2*b + 41 = -85, 0 = -4*p + 4*b + 252. Calculate the remainder when 682 is divided by p.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 4:16 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -69.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/723 and -109\/6000.\nAnswer: 1446000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3934 times -355\nAnswer: -1396570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -13*o**3 - 34*o**2 + 188*o - 19. What is a(5)?\nAnswer: -1554","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6 + 2 - i**3 + 2*i + 1 - 4 + 16*i**2 - 8. Give w(16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/390 and -87\/8300?\nAnswer: 323700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 105510.\nAnswer: 7385.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - 12\/(0 + -2). Let n(q) = -1973*q - 25 + 1975*q + 30. What is n(f)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137905, -276131, -414357, -552583, -690809?\nAnswer: -829035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 4. Give o(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1678086665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0*t + 2*t - 30, t = j + 3. Let w be 6*(t\/12 + 4\/(-16)). Suppose 3 + 0*s**w - 8*s + 4 + 2*s**3 - 2*s**2 + 1 = 0. Calculate s.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 28 - 6 = 0. Let y = d + -18. Which is smaller: y or 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 20.9. Let f be 2\/(-3) + 2\/27*12. What is the closest to x in -0.2, 0, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1127662651*x**2 - 94482948*x - 2 wrt x.\nAnswer: -2255325302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 10:10 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65206 is divided by 76.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55825504?\nAnswer: 2, 7, 35603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19994505 is divided by 714086?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5 - 2 + 3 + t. Let k(v) = -v - 1. Suppose 62*l = -472*l + 132*l + 1206. Determine l*k(x) - y(x).\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5)*((-12)\/(-4))\/3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 203201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i**2. Let d(y) = 5*y - 4. Let c(s) be the third derivative of 5*s**4\/24 - s**3\/2 + 10*s**2. Let p(q) = 4*c(q) - 3*d(q). Determine f(p(o)).\nAnswer: 100*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-174778)\/8)\/((244\/16)\/(-61)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4 + 3*g - 9 + 13. Let x(b) = 6*b - 5. Let k(h) = h - 1. Let o(i) = 10*k(i) - 2*x(i). Give o(q(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(12)\/sqrt(4) + 5))**2.\nAnswer: 40*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -26*y**2 + 10*y + 1. Let b(h) = 5*h**2 - 2*h. Calculate 11*b(v) + 2*j(v).\nAnswer: 3*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*j + 24*j + 3787. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 2*s - 10, -178*i + 116*i - 12 = -4*s + 3 + 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 4. Let m be f(6). Let t(j) = -j**2 + 3*j - 3. Let a be t(m). Find the common denominator of 1 + -2 + a\/74 and 79\/20.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 14) in base 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -2*m + 2, 0 = -5*t + m + 3877. Suppose -3*o = -3*q + 6*q + 6819, 3*o + 6815 = -5*q. Let a = o + t. What is a rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -44*s**2 - 97*s - 15. What is d(-1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 5. Let r be p(12). Let h = 19 - r. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*i**3 - 68*i**3 + 27*i**3 - 2*i**4 - 6*i**2 + 4*i**2 as c*i**4 + p*i**2 + f*i**3 + h + o*i and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**15\/(f**(-2)\/f) assuming f is positive.\nAnswer: f**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 > -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -787*o**2. Let x(n) = -2*n. Give j(x(r)).\nAnswer: -3148*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4027 = -211*f - 1248 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165\/13, 0.4, -0.17, 96 in descending order.\nAnswer: 96, 0.4, -0.17, -165\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2 + 2 + 2*s. Let k = 2 + -4. What is i(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 107, 105, 103, 101, 99, 97?\n\"Answer: -2*t + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - -3. Let y be ((-12)\/10)\/((-2)\/g). Calculate the highest common factor of 54 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 999716*c**6 - 240*c**2 - 82*c?\nAnswer: 119965920*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1309007.572 from -2.\nAnswer: 1309005.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 102*s + 9. Let u(q) = -51*q - 5. Let v(g) = 6*m(g) + 11*u(g). Find the first derivative of v(d) wrt d.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**2 + 0*j**2 - 4*j**2 + (-5*j + j + 3*j)*(j + 0*j - 3*j) - j**2 + 2*j**2 + j**2 + (-j - 2*j**2 + j)*(-3 - 1 + 1).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((3\/(-3))\/(5\/25))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d + 4*d**2 - 5*d**2 + 17 - 3*d. What are the prime factors of g(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 124*t - 28774. Give l(232).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 20 + 2 = 3*f, 4*l - 2*f = -18. Let a be l\/2 + 0 - 60\/40. Let n be ((-18)\/20)\/(42\/(-35)). What is the second smallest value in n, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.06 (c) 32 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5\/9 + 136*a**4\/3 - 2262*a**3 = 0. What is a?\nAnswer: 0, 87, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3518, 1132, 13760, 38356, 78910?\n\"Answer: 665*x**3 - x**2 - 2*x - 4180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v - 7*v = -11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -85*d**5 - 124*d - 11. Let m(l) = 42*l**5 + 62*l + 6. Let x(j) = -11*m(j) - 6*u(j). What is the second derivative of x(a) wrt a?\nAnswer: 960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1394*j - 1304*j = -360. Put -2, -5, j, 5, -154 in descending order.\nAnswer: 5, -2, j, -5, -154","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 78 + -76. Suppose -114 = 2*a - 6*a - v, -x*v - 24 = -a. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-1 + 1 + 3*c)*(3*c + 0*c - 5*c).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**6\/255 + i**5\/34 - 7*i**4\/34 + 23*i**3\/51 - 8*i**2\/17 - 22*i. Factor x(s).\nAnswer: 2*(s - 1)**3*(s + 8)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2448624 is divided by 433?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 - 11811*o - 14*o**3 + 7*o**3 + 11811*o - 4.\nAnswer: -13*o**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - (-435)\/(-33)) + (-16)\/(-88). Is (12\/z)\/(3\/(-860)) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*f = -3*a - 42, 5*a + f + 99 = 0. Let x be (-42)\/40 - 16\/a. Suppose 0 = 3*v + 6, -8 = -o + 5*v - 1. Is o smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 44.5, -1.1609 in descending order.\nAnswer: 44.5, 0, -1.1609, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -454*h - 457*h + 918*h - 19. Let z(i) = 8*i. Give u(z(k)).\nAnswer: 56*k - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2908 divided by -2\nAnswer: -1454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, 0, -3\/29 in decreasing order.\nAnswer: 0, -3\/29, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*t**2 + 6*t**3 - 37*t**2 + t - 28*t**2 - 60*t**2 - 14*t**3.\nAnswer: -8*t**3 - 65*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(3\/2)*s))\/s*s*(s*s**(-1\/17)\/s)\/s*((s\/(s*s**(-3\/4)))\/s)**39 assuming s is positive.\nAnswer: s**(-905\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5338 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b + 4. Let s(t) = 6*t - 3. Give 4*d(j) + 5*s(j).\nAnswer: 22*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -7, 5, 1\/5 in decreasing order.\nAnswer: 32, 5, 1\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26140a (base 14) in base 12?\nAnswer: 531b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 154 - 97. Suppose 27*h = f*h - 3960. Is h a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29128 and 560?\nAnswer: 2038960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53271, -46845, -36143, -21171, -1935, 21559, 49305?\nAnswer: 81297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7f14 + ea9?\nAnswer: -706b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -31, -90, -177, -292?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*q**2 + 9*q**2 - 12*q**2)*(3 + 4 - 6)*(-3*q - q - q).\nAnswer: -90*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 49*j**4 - 2*j**3 - 3*j**2 + 470*j + 2110650 wrt j?\nAnswer: 196*j**3 - 6*j**2 - 6*j + 470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/(-18))\/(2\/6). Suppose -z + 3*z = -2*a + 52, 0 = y*a + 3*z - 100. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 409905221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5253.778 less than -1.34216?\nAnswer: 5252.43584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11211210021 (base 3) to base 10.\nAnswer: -95344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 + -53. Let q = 15 + -22. Let i = x + q. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 450 and 4?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/87 - 55\/261. Let l = -56 + 54.9. Let w = l - 3.9. What is the closest to w in 1\/2, u, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3095 and -14672?\nAnswer: -45409840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 5:54 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -161*n**4\/24 - 9*n**2. Is o(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, h: 9}. Give prob of picking 4 w.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2992326369 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = f - 4*f. Suppose 3*v - 4*l - 22 = 0, 0 = -f*v - 6*l + 4*l + 52. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42976.\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20775 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zczc when four letters picked without replacement from {c: 5, f: 1, z: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 5*n + 9 = 8*m, 3 = m - 2*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -104, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + (-23 - -6 - -15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4029.368 to the nearest one hundred.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 818871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f. Let z(y) = 77*y - 80*y + 243*y. What is z(l(n))?\nAnswer: 240*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**3 + 8*v**2 - 8*v**2 + (3*v - 6*v + 4*v)*(0*v**2 + v**2 + v**2) - v**3 + v**3 - v**3 + (0 + 0 + 2*v)*(v**2 + v - v).\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11209 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -4. Let c = p + -4\/5. Suppose 0 = -5*t - 20, -4*w = -2*t + 2 - 10. Is w bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-1215)\/6)\/9)\/(24\/(-40))*328\/(-123)\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((((-32)\/(-10))\/8)\/((-5)\/5))\/((-177)\/48675).\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 6) to base 2.\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 0 + 0)*(216 + 31 - 715) + (1 - 4 + 1)*(5*m - 3*m + 0*m) as n + k*m and give k.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-13))\/(-2))\/(1\/(-2))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/27 and -26\/3213?\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.31695708 to four dps.\nAnswer: 0.317","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9317 and 294756.\nAnswer: 3242316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*t = 3, -6*t = -n - 3*t + 3. Let a(k) = -4*k**2 + 9*k + 41. Let s(m) = -m**2 + 2*m + 10. Let c(i) = 2*a(i) - 9*s(i). Determine c(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -4*i - 32, -65*i + 62*i = -5*y + 24 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/2*540\/(-81).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 226098627 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 - 10*a + 110. What is s(-7)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let -39\/2*b**2 - 153\/2 + 3\/2*b**3 - 195\/2*b = 0. What is b?\nAnswer: -3, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(612)*1 + (4 + -1 + sqrt(612))**2.\nAnswer: 48*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21420999*o + 21421060*o - 2440 = 0 for o.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1041, -2127, -3221, -4323, -5433?\n\"Answer: -4*i**2 - 1074*i + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, 1024, 0.0345, 0.2 in increasing order.\nAnswer: 0.0345, 0.2, 83, 1024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/3 (b) 1 (c) -2\/69 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*c - 5*d = 330, 3*c = 3*d + 942. Suppose 8*q + c = 13*q. What are the prime factors of q?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 5*k**3 + 1109015*k**2 - 20*k - 4436060 = 0.\nAnswer: -221803, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-30 + (12 - -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 + 1.06. Let k = 0.01 - -1.99. Let j = w - k. What is the closest to j in 1\/7, -0.4, 3\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 900 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kie when three letters picked without replacement from kyiiibybfibkeb.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euuw when four letters picked without replacement from euwuppuwpwueuuu.\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 222, 0.19, -4\/5 in ascending order.\nAnswer: -4\/5, -0.04, 0.19, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3\/(12\/215416))\/(2*9\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62032 + 61396 = -53*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1053) + -1 + 4 - (sqrt(1053) - (4*-6*sqrt(1053) + sqrt(1053)))).\nAnswer: -1242*sqrt(13) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 355 + 287. Let h be (-16)\/56 - v\/14. Let u = h - 13. Solve 2*r = 5*x + 31, -3*r = u*x - 4*r + 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 8*k**2 + 150*k - 589. Let o be a(16). Sort 13, -3, o in descending order.\nAnswer: 13, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502?\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(26)\/(sqrt(2)*-1*-4)*2.\nAnswer: 1 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 3603?\nAnswer: 3613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696123 is divided by 63283.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**9\/1008 - c**8\/168 - c**7\/70 - c**6\/60 - c**5\/120 + c**3 + 1. Let s(y) be the third derivative of d(y). Factor s(r).\nAnswer: -r*(r + 1)**3*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 211484 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*f*l**2*s**2 + f*l*s**2 + 159*l**2*s**2 - 7*l*s - 164*l wrt l.\nAnswer: 36*f*s**2 + 318*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 11226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -22 from 26.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 606329904?\nAnswer: 2, 3, 12631873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60.1 + 53. Let s = -7 - h. Which is the third smallest value? (a) 3 (b) -1\/2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2781 and 648900?\nAnswer: 1946700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -5 (b) -432 (c) 2 (d) 36 (e) 5 (f) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27125*t**3 - 2*t**2 - 451765*t wrt t.\nAnswer: -162750*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -5*i + 2*n, 41 = 3*i + 4*n - 23. Calculate the greatest common divisor of i and 120.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**3\/8 + 13695*w**2\/8 + 144429*w\/4 + 34395 = 0 for w.\nAnswer: -20, -1, 4586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 3. Let c be 1\/(0 + 3\/9). Calculate k(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -556 - -597. What is the smallest value in q, -0.1, 5\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*q = 44*q + 3873. What is the remainder when q is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55197, -55156, -55115, -55074?\nAnswer: -55033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8557 + -8439. What is the remainder when 455 is divided by n?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, g: 1, x: 1, v: 2, j: 2}. Give prob of picking 1 v, 1 j, 1 z, and 1 x.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 267*j + 155 = 269*j, 0 = -5*s - 3*j - 124 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.593162148 rounded to two dps?\nAnswer: -12.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2 - q**2 + 2 - q**2. Let d(y) = -y**2 - 7*y + 7. Let l be (1\/(-2))\/(1\/28). Let o(x) = -x + 1. Let n(v) = l*o(v) + 2*d(v). Calculate w(n(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p + 12*p**2 - 11*p - 1 - 128*p**2 + 2*p + 4*p wrt p?\nAnswer: -232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110081, 441179, 993011, 1765577, 2758877, 3972911, 5407679?\nAnswer: 7063181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(432) + 1))**2 + 4 + ((sqrt(36)\/(sqrt(84)\/sqrt(7)))**2 - ((-1*sqrt(21))\/sqrt(7))**2).\nAnswer: 864*sqrt(3) + 15592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h - 3. Calculate the remainder when u(-2) is divided by 140\/30 + (-4)\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -20, 10, -34\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -557*u**2 - 12*u + 2. Let r(o) = 555*o**2 + 18*o - 3. Let d(x) = -3*j(x) - 2*r(x). Let v(a) = 4*a**2. What is d(v(y))?\nAnswer: 8976*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -5*w - 11, 4*w + 10 = n + n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a day in minutes?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 150 and 2802?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 50*r**2 - 647*r - 16830. Calculate w(-44).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 814 and 259?\nAnswer: 5698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l**2 - 6*l. Let f(k) be the first derivative of 0*k + 1\/2*k**2 + 29. Determine p(f(n)).\nAnswer: 6*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -127\/4 + 32. Let s = -942 + 1376. Let p = -434 + s. Which is the smallest value? (a) v (b) p (c) 0.3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 19 = 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*(-4)\/(-77))\/(-2).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 1:47 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -251*z + 86*z - 1468 + 938 - 1285 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/47? (a) -10 (b) -0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180784 and 11912.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 11 = 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5)*x**(-12) assuming x is positive.\nAnswer: x**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -174*a - 1. Suppose 6*t = 2 - 8. List the prime factors of o(t).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 10*y**3 - y**2 - 3*y + 5. Let i be o(2). What is the greatest common factor of i and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(((-55)\/341)\/(-1)*(2\/(-4))\/(-1))\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**5\/60 + 3*y**4\/4 + 8*y**3\/3 + 53*y**2. Is 2 a factor of h(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46266\/(-25236)*(-6)\/110\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3 + (-42)\/63. Suppose 4*v = -0 - 12, 5*m = -2*v - 16. Let h be (m - (2 - -26))\/(2\/x). Solve 20 = -5*i + 3*a, 0 = 5*i + 3*a + a - h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, 5, -55, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 + (-5 - 1 - 1) - 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-7)\/42*15)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13849?\nAnswer: 11, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 3*k - 4. Is (-3)\/k - (-77)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = 18. Which is smaller: 12 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, h: 7, c: 3}. Give prob of picking 3 h.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11676*i - 1311*i - 124*i + 2266*i - 3757*i to the form k + h*i and give h.\nAnswer: -14602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - t. Let d(h) = -37*h**3 - 3*h**2 - 2*h - 1. Let w(v) = -d(v) + 4*u(v). Suppose 5*k - 85 = -80. What is the tens digit of w(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10282500?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -1. Let a be (117\/(-26))\/(1 + 58\/(-52)). Suppose 0 = 4*y + 5*u - a - 74, -25 = -5*u. Calculate the lowest common multiple of y and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*f**5 - 9*f**5 - 7*f - 8*f**5 wrt f.\nAnswer: -220*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1888 - ((-2)\/(-10) + 1943\/335)?\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -555, -1514, -2853, -4572, -6671?\nAnswer: -9150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5565, -15316, -29257, -47388?\n\"Answer: -2095*n**2 - 3466*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -4\/11*w**2 + 1\/11*w**3 + 1\/66*w**4 - 6 - 3*w. Solve r(x) = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -1 + 2812\/1425. Is -1 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1105 is divided by 158.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/5 - (-357)\/85. Find the second derivative of l - 5*o**5 + 8*o**5 + 14*o**3 + 20*o - 2 - 20*o**3 wrt o.\nAnswer: 60*o**3 - 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -110*o**2 + 45. Let i(n) = -6*n - 5*n**2 + 9 + 17 - 24 + 6*n. Give 45*i(l) - 2*k(l).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73 - 66. Let y(m) = m**3 - 7*m**2 - m + 10. Let p be y(k). What is the tens digit of -5*3\/p - -149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111799 is divided by 27948.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1356.4 to the nearest ten.\nAnswer: -1360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/(225\/40) + 24\/(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9832 + -7553. List the prime factors of b.\nAnswer: 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w**4\/7 + 12592*w**3\/7 - 90390*w**2 - 642178*w\/7 - 161332\/7 = 0. What is w?\nAnswer: -1\/2, 53, 1522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40463 or 40415?\nAnswer: 40415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-405255)\/(-50) - 2\/(-4). Let y = -8066 + h. Which is smaller: 40 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 - (95 + -28) - -13*(-4)\/20?\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108)*3 + sqrt(3) + -1 + -3.\nAnswer: -4 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 105*(-11 - (2160\/(-84) + 15))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 + 10*m + 46. What is the remainder when 110 is divided by c(-9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -35*s + 1. Let m(d) = 76*d - 2. Let r(l) = 6*m(l) + 13*y(l). Let h(j) = -4*j + 1. Determine h(q) + 3*r(q).\nAnswer: -q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r**3 + 53*r**3 + 15*r**3 - 3*r**2 + 3*r**2.\nAnswer: 51*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2 = 2*v, -2*o = -o. Let p = 3 + -2. Does p = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lghb when four letters picked without replacement from {h: 3, b: 4, l: 4, g: 3}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3095780 divided by 20\nAnswer: 154789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 3*c + 21975 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 46 - 1 = 0. Solve -g*m - 10 = 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 320421 (base 5) to base 13\nAnswer: 4b6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 + 202*b**2 - 109*b - 4. Determine p(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 33135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 570 and -108?\nAnswer: -61560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/4, 1\/21, -5, -14?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 12:51 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 197248604 - 197249360.9998355. Let t = 757 + d. Round t to 5 decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1979200\/24740*3*(-2)\/75?\nAnswer: -32\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 7.2. Let g be (-10)\/(-3)*(-18)\/(-30) + -6. Which is the nearest to -0.4? (a) -1 (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 + 7186.\nAnswer: 7174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 + 153 - 66 + 963*y**3.\nAnswer: 963*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88945?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 172 + -117. Suppose 52*f = l*f - 312. Suppose 0 = v - 4*c - 75 + 23, c = -3*v + f. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7279 - 7039. What is the highest common factor of 90 and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, h: 3}. Give prob of picking 1 b and 2 h.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 5:38 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 - w**2 + w**2 + (2 - 2 - w)*(-12*w - 3*w + 4*w)*(0 + 0 + 2*w).\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.049, -4, 4 in decreasing order.\nAnswer: 4, -0.049, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -14*n**2 + 27*n + 336. Determine o(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 374?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/14)\/((-270)\/(-420))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.281*-443.\nAnswer: 124.483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(468) - (sqrt(468) - -1*sqrt(468) - sqrt(468)))*-2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(90)*2)\/((sqrt(48) + sqrt(3))*2))\/(sqrt(6) - sqrt(36)\/(sqrt(42)\/sqrt(7)) - sqrt(726)*-3))**2.\nAnswer: 1\/605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 4:07 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**4\/4 + 45*c**3\/2 + 165*c**2\/4 + 20*c.\nAnswer: 5*c*(c + 1)**2*(c + 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 1. Let r(g) = -2*g**3 + 10*g**2 + 3*g - 6. Let o(w) = 640*w - 2566. Let u be o(4). What is u*q(k) + r(k)?\nAnswer: -2*k**3 + 4*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 39264583\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5778269 is divided by 156?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**3 + 4*p**3 - 3*p**3)*(1 - 4 + 2) + (-9*p**2 - p**2 + 0*p**2)*(3*p - 2*p - 2*p).\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55974519 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1823180 rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 114\/(-3458)*-7 - 1\/13. Let n = 464\/2007 - 2\/223. Which is the nearest to n? (a) -2 (b) y (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 165 = 444. Suppose 0 = -11*h + 133 + g. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3721 + 7329. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 12:49 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 1 = -4*g. Let s = 34 - g. Solve -2*o = -d - 4*d + 23, -4*o = 5*d - s for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58 - 53. Let a(v) = v**2 + 120 - 119 + 6*v - w*v. Determine a(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 5:33 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p - 1. Suppose -3*i - 18 = 0, -3*i - 26 = -5*o + 2. Let c(x) = 17*x - 3. Let l be (27\/(-6))\/(1\/2). Calculate l*u(t) + o*c(t).\nAnswer: -2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 478*z**2 - 632*z**5 - 262*z**2 + 96*z**5 wrt z.\nAnswer: -32160*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -8*h + 2 - 6 - h**2 + 1. Let r(q) = -q**3 - 5*q**2 + 7*q - 1. Let p be r(-6). What is the units digit of j(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1463.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xax when three letters picked without replacement from {a: 3, x: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a milligram in micrograms?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 39195*m - 195850.\nAnswer: -5*(m + 5)*(m + 7834)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -4287, 11 in descending order.\nAnswer: 11, 0.1, -4287","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 97 - 101. Is (g + 1461\/(-9))*-6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -11 - (-2 + 1 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13273.83 rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2646 and 196?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1804.011l?\nAnswer: 1804011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*x**2 - 274*x**2 + 19*x**2.\nAnswer: -645*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 130513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t = 53*t - 20. Let v(g) = -1. Let d(i) = 5*i + 1. Determine t*v(c) + d(c).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven eighths of a minute?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1 - 6*q**2 - 2*q + 16*q**2 - 2. Let j = 3 - 6. Is c(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 31350 = 630*l for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 5:29 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.275 take away 47229472654?\nAnswer: -47229472654.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 605 + -605.2. Let z = -8.4 - -8.6. What is the closest to 2 in p, 0, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**5\/20 + l**4\/12 - l + 1. Let f(v) be the first derivative of y(v). What is the third derivative of f(r) wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04975 in 0.5, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1284*g + 3845*g - 1276*g - 2*g**3 - 12*g**4 - 1281*g - 1 as t*g + k*g**4 + h*g**3 + o*g**2 + v and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003026 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 8\/2 + (-13)\/104*8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14768042.\nAnswer: 2, 7384021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10 + -8 + 12 + 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3144810 to the nearest 10000.\nAnswer: 3140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**2 - 5 + 5 + (330 - 330 + 146*q)*(0*q + q + q) to x*q**2 + f + w*q and give x.\nAnswer: 291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 10*n + 6. List the prime factors of p(6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - h = 12, r = 3*r + 3*h + 8. List the prime factors of ((-45)\/(-2))\/(1\/r).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 2.1. Let j = -17054 - -17060. What is the closest to 1 in s, j, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -42*g**2 + 16*g - 15. Let o(i) = 23*i**2 - 8*i + 7. Let b(h) = -11*o(h) - 6*w(h). Give b(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 4 (c) -667644 (d) 3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (121430\/(-97144))\/((-2)\/((-16)\/18))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, k: 2, y: 8}. Give prob of picking 1 q and 1 k.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37.009 + 37. Let d = j + 0.109. Let s be 1 + 13*(-2)\/34. Are d and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = 18 - 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2 - 465*o - 26351. Give p(-97).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 557314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(143)*1 + sqrt(143))*4)\/sqrt(11) + 3 + 4*(sqrt(13) + -4 + (sqrt(13) + -2)**2).\nAnswer: -52*sqrt(13) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24977.33kg in nanograms?\nAnswer: 24977330000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*w + 9 + 1, 3 = -5*s - 2*w. Let j be ((-1)\/2)\/(s\/2). Suppose -2*l + 4 = 3*p - 4, 4*l = p - 12. Sort p, j, 5 in increasing order.\nAnswer: j, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/6*(-32)\/56. What are the prime factors of (x\/4)\/((-2)\/156)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 12:30 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 710550 divided by -517\nAnswer: -710550\/517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**5 + 241*q**4 - 241*q**4 + (-2 + q**4 + 2)*(2*q - 6*q + 2*q) + (0*q - 3*q + 4*q)*(0 + 2*q**4 + 0).\nAnswer: 4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7592 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) -0.08 (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 181.966 - 182. Let d = j - -0.134. Which is the nearest to d? (a) 1 (b) -4\/9 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -10*i - 6*i. Calculate the highest common divisor of i and 119.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-20 + 4 + 17 - (5 - -1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 17535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -2*p**3\/3 + 3*p**2 + 2*p. Let o be c(5). Let s = 21 + o. Solve 0 = s*z - 2*z + 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -242252 at most as big as -242252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**4\/4 + v**2 + 4*v. Let h(o) = -7*o**2 - o - 5. Give -2*h(b) - 5*z(b).\nAnswer: -b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**7\/42 - 2*d**6\/15 - d**5\/20 + d**4\/3 - 39*d + 2. Factor g(f).\nAnswer: f**2*(f - 4)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 + 10683*g**2 + 11153*g**2 - 21836*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by -1\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 55*a**2 - 259*a + 472. Calculate n(50).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5)*m*m\/(m*m*m\/m**(-2\/3))*(m**(-1\/2))**(-28))\/(((m\/m**(-1\/2))\/m)**42)**9 assuming m is positive.\nAnswer: m**(-2644\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**5 + 4*y**5 + 3*y**5)*(2 - 1 + 1) + (-3924143*y**2 + 3924143*y**2 + 91*y**3)*(-y**2 + 4*y**2 - 4*y**2).\nAnswer: -87*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-6)*-2 - 1. Suppose -h + m + 2*m = -83, h - 63 = -y*m. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/246 and -24\/11.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/27)\/((-1)\/(-3*(-4)\/(-24)))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*w = -8, -2*y - 3*y - 2*w = 10. Let u be ((-88)\/30 - y) + (-21)\/(-35). What is the closest to 3\/7 in 0.05, 1\/2, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*t = 3*t + 470 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}