diff --git "a/data/dm_maths/full_data/1307_11255.jsonl" "b/data/dm_maths/full_data/1307_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1307_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let h(m) = -54*m + 1196. Suppose -5*u + 3*l = -u - 53, -4*l + 60 = 4*u. What is the remainder when u is divided by h(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 670*h**6 + 15*h**5*u**2 + 98*h**2*u**2 - h**2*u + u**2 - 7 wrt h?\nAnswer: 80400*h**3 + 900*h**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 7*v - 3*v + 2*d, v - 3*d = 20. Solve -v*g + 0*h = 4*h - 6, 0 = -4*h for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2. Let x(y) = 2*y - 54. Give h(x(l)).\nAnswer: 4*l**2 - 216*l + 2916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -4\/13 (b) 942 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t**5 + 530*t**4 + 2083*t**3 - 11042*t**2 + 2132*t + 14728 = 0. What is t?\nAnswer: -526, -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*f**4 - 10647*f**3 - 3*f**2 + 42759816*f?\nAnswer: -516*f**2 - 63882*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d**5\/3 + 38*d**4\/9 + 6*d**3 - 46*d**2\/9 - 14*d\/3 + 8\/9 = 0. Calculate d.\nAnswer: -1, 1\/6, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51 + -39. Solve -3*x + 6*x = -f for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1014*d**2 - 15*d + 110?\nAnswer: -2028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*sqrt(1008) - (-3 + sqrt(1008)*-2 + sqrt(1008)) - (sqrt(1575) - ((sqrt(1575) + sqrt(1575) + 0)*4 + sqrt(1575))))**2.\nAnswer: -216*sqrt(7) + 81649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1712077691 to the nearest integer?\nAnswer: 41377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -5)*264\/4620\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44\/(-36) + 2\/9. Let s = b - -4. Let t(u) = -u**3 + 2*u**2 + 2*u + 4. Determine t(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3107 is divided by 224?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -678*j + 141*j + 164*j + 177*j + 129*j.\nAnswer: -67*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/21 + 4\/14. Let y be (-2*(2 + a))\/(-2). Solve -5*q - 7 = 4*n, y*n + q = -4 + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 202.5 (c) 0.046 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6186\/7745 - 2\/1549. What is the closest to -0.1 in 56, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of 100*n**3\/3 - 1. Let b(i) = -i**2 - 8*i + 2. Let x be b(-8). Let t be u(x). Round t to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 78, 68, 56?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35609 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 2*h**2 - 3*h - 1. Let a be m(-2). Let y = -124 - -130. Suppose 11*p - 9*p = y. Solve 3*v + 0*v = -12, 0 = -a*j + p*v + 17 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42612 and 268.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 12936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 21*g**2 - 4*g - 28. Let h be j(-21). Suppose 6 + 8 = t. What is the highest common divisor of t and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15235 + 15323. Is r a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 22 - 13 + 4*u**2 to a*u**2 + l*u + m and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 405552 and 608328.\nAnswer: 1216656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 98029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6*o + 3. Let q be u(2). Let h = q + 11. Suppose -4*v + 319 = -m + 2*m, 0 = h*m - 4*v - 602. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 5:13 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 4*b - 4*a, -4*b + b + 4*a = 3*b - 10*b + 32 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-109)\/(34335\/(-2970)) + (-12 - 0)\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 11:33 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 352 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2241021 by -93.\nAnswer: -24097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1929321 and 83340.\nAnswer: 38586420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 4690346?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(517\/(-4158)) + 8*1. What is the closest to 1\/44 in -0.2, -4, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 2409440?\nAnswer: 16866080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 11*m**2\/2 + 10. Let q(k) = k. Give q(g(z)).\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/13, -10, 0.0129?\nAnswer: 0.0129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -11b021?\nAnswer: 11b026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 365 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -2*i + 11. Let o(b) = b + 10. Let u be o(i). Suppose 5*k = u*j + 7417, 2*k + 3*j - 2946 = -j. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000400521 to 5 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -213 - 13?\nAnswer: -226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4198, 33456, 112864, 267496, 522426, 902728, 1433476?\nAnswer: 2139744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 162 or -2\/1667?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4912207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**2 + 23*x. Let k = 5 + 0. Suppose 4*w = -z + 18, -k*z = -w - 5 - 22. Let m(y) = -y**2 + 8*y. Give z*f(j) - 17*m(j).\nAnswer: -j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times -736.462?\nAnswer: -13256.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-21 + (-6 - 32))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 2*m + 55*m**2 - 25*m**2.\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6114770 by 1222954.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2848943449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*u + 2*u. Let l(x) = 28 - 35 - 32 - 5*x + 58 - 29. Determine l(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*i - 60*i = 3*j + 35, 40 = -2*i + 4*j. Let v be (22\/i)\/11*-10. Suppose -2*f + 0*f + 2*l = -14, 2*l = 5*f - 32. Solve -2*m = -v + f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -4*n + 4, 1 = 33*n - 32*n - g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - m**2 - 3*m - 1. Let b be d(-2). Suppose o = -a + 1, -4*a - 4*o = -b*o - 40. Calculate the least common multiple of a and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a + 20. Let r = 9 - 28. List the prime factors of i(r).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 9*h**2 + 11*h - 5. Let b be s(10). Put -1, -6, b in decreasing order.\nAnswer: b, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1741 (base 11) in base 7?\nAnswer: -6324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000177920043 rounded to seven decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3578320708?\nAnswer: 2, 3761, 237857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/12 + 21\/9. Suppose -a - 2*n = -88, g*a - 4*n = -2*a + 454. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z + 46 = -47 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96832851 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.182. Let x = r - -0.23. Let p = x - 0.13. What is p rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + (sqrt(30)\/(-2*sqrt(5)) - sqrt(6)) + sqrt(6) - sqrt(6))\/(sqrt(98) + sqrt(98) + 3*sqrt(98)).\nAnswer: -sqrt(3)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 - 135*q**3 + 655*q**2 + 3975*q - 4500.\nAnswer: 5*(q - 15)**2*(q - 1)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3948 - 2012 + 12*x - 11*x - 1990 - 3*x.\nAnswer: -2*x - 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/4 of a decade?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 - 12 + 2*q - 3*q + 11 + (0*q**2 - 2*q**2 - q**2)*(2 - 2 + 2*q).\nAnswer: -7*q**3 - q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + -6 - (-1170)\/192 and -13\/12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8152 - 8155. Let a(o) be the third derivative of o**6\/120 + o**5\/60 + o**4\/6 + 2*o**3\/3 - o**2. Give a(z).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 238252*j**3*k**3 + 2*j**2*k + 19*j*k**3 - 5488*k**3 wrt j?\nAnswer: 1429512*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -24*l**2 + 20*l + 4 = 0. What is l?\nAnswer: -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -9\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/5 - -23\/10. Let y = -7 - -7.3. Which is the nearest to 3? (a) y (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1103*f**4*i - f**3 + 7*f*i - 229119*i + 2 wrt f?\nAnswer: -4412*f**3*i - 3*f**2 + 7*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -41*v**6\/6 + v**4\/4 - 486*v**2 - 1435*v. What is the first derivative of a(s) wrt s?\nAnswer: -820*s**3 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q - 3*q + 2*q)*(3*q - 5*q + 11*q)*(-7*q + 3*q + 3*q) - 3*q**2 + 3*q**2 + 5*q**3 in the form o*q**2 + f*q + s*q**3 + a and give s.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/4)\/b)\/b**2*(b\/(b\/((b*b**(-1))\/b)))**(-15) assuming b is positive.\nAnswer: b**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 4)*(-750 + 175*n + 750)*(-4*n**4 - 3*n**4 + 4*n**4).\nAnswer: 2625*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11*h + 142. Let s(m) = 25*m + 284. Calculate 7*f(v) - 3*s(v).\nAnswer: 2*v + 142","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0 + (-5 + 0 + 3)*(4 - 1 - 4) - 2 + 1 + 3 + (0 + 2 - 4)*(-2 + 2 - 1) - 5 + 2 + 2)*(-64*h + 44*h - 158*h + (4 + 0 - 2)*(0*h + 0*h + 2*h)).\nAnswer: -522*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 532817, 532824, 532841, 532874, 532929, 533012, 533129?\n\"Answer: i**3 - i**2 + 3*i + 532814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44596 - 19961. What are the prime factors of v?\nAnswer: 5, 13, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27137 is divided by 9042.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.1 + -4.7. Let j = -1607 + 1608.4. Let q = f - j. Which is the second smallest value? (a) 5 (b) q (c) -2 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.8 - 0.8. Let m be (0 + -6)\/(-3) + -6 - 260\/(-52). Which is the nearest to -0.1? (a) m (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74569.84 kilograms to grams.\nAnswer: 74569840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/6, -4\/5, -5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -47, 9, 28, -1\/4, 1.7 in increasing order.\nAnswer: -47, -4, -1\/4, 1.7, 9, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 7, c: 1, a: 1, z: 5, f: 5}. Give prob of picking 1 a and 1 z.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 divided by 47?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*z = -444*z - 74 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1690 and 3074955?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3*i + 182. What is the units digit of a(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -441489 and -0.4.\nAnswer: -441489.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43479 a multiple of 380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -1 + (-10 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2506 + 1?\nAnswer: -2505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -148 (c) -0.5 (d) -39\/7 (e) 8 (f) -6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + t + 4. Let v(r) = -2*r**2 + r + 10. Let n be v(-2). Suppose n = 2*z + 3*a - 18, z + 4*a = 4*z + 7. Give l(z).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 17*s + 203. Let z be y(-12). Let a = 11 + -6. Suppose 2*f = -2, -11 = a*o + f + 5. Is o != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 10 = 40. Suppose 2*j - g = 5, -4*j + 3 + 6 = -g. Suppose 0 = y + j*y. Solve -w + 4*w + i = y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/35911021 and 13\/23236543?\nAnswer: 395021231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 14. Let f = 340501085 + -340501100.0000007. Let n = f + p. Round n to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57195072 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/1045976 and 54\/90346177?\nAnswer: 722769416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5248 is divided by 755?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -1\/18*j**4 + 0*j + 1\/90*j**5 - 11 - 1\/3*j**3 + 9\/2*j**2. Let l(x) be the second derivative of r(x). Factor l(b).\nAnswer: 2*(b - 3)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 6*z - 93. What is f(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2915757, 2915752, 2915745, 2915736, 2915725, 2915712?\nAnswer: 2915697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**2 - 3*a - 2. Let i be k(-2). Let b = -4 - i. What is the remainder when b is divided by ((-2)\/3)\/((-4)\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-110*z - 70 - 116*z + 223*z)*(19*z - 13*z**2 - 19*z).\nAnswer: 39*z**3 + 910*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**2 - 66*x - 3. Let l(z) = 3*z. What is p(l(t))?\nAnswer: 27*t**2 - 198*t - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from vvvvhvvvvvvhvvvvhv?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(60)\/sqrt(2))\/sqrt(3))\/(sqrt(2) + -5*sqrt(12)\/sqrt(6)).\nAnswer: -sqrt(5)\/4 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -69\/2620 or -1?\nAnswer: -69\/2620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1396 or 153?\nAnswer: 1396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, v: 2, n: 8}. Give prob of picking 1 o and 1 v.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 20*x + 6. Let w be m(20). Solve 3*v - w = 0, -v - 3 = -y - 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125 + -128. Let q(o) = -o**3 + 8*o**2 + 10*o - 8. Let p be q(9). Put -2, -1, k, p in increasing order.\nAnswer: k, -2, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 95. Let g = -49 - n. Calculate the greatest common divisor of 49 and g.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 341 - 266. What is the remainder when 338 is divided by n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 - 4*w**2 + 4*w**2 + (-w - 2*w + 0*w)*(-3*w - 2*w + 4*w) + 1 - 1 - 2*w**2 + 2*w**2 - 2*w + 2*w as y*w**2 + p*w + o and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-658)\/(-630)*-9)\/(8\/(-80)) - (0 - 1)\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 0*x**3 - 2*x**3 + x**4 + 2 + 5*x**2 in the form m*x**3 + k + v*x + p*x**2 + w*x**4 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a. Let z(k) = 6210*k + 114. Let v(l) = 117990*l + 2185. Let q(w) = -6*v(w) + 115*z(w). Determine i(q(o)).\nAnswer: -12420*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 - b**3 + 4*b**3)*(-3*b**2 - 3*b**2 + 5*b**2) + 90*b**4 - 90*b**4 + 14*b**5.\nAnswer: 13*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -3 (c) -9 (d) -4 (e) -4\/9 (f) -0.431\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + -0.1. Let d = -0.3 - f. Let w = d - 0.1. What is the second smallest value in w, -3, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(-3*sqrt(6))*-2)\/((-4*sqrt(243))\/sqrt(9)).\nAnswer: -sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -5, -16, -3\/4?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.164214 decades to millennia.\nAnswer: 0.09164214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 228*z - 9. Let u(s) = 685*s - 25. Calculate -8*g(k) + 3*u(k).\nAnswer: 231*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**4 - 16827*u**3 + 7076358*u**2 = 0. What is u?\nAnswer: -6002, 0, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9303395*n - 2848764 wrt n?\nAnswer: 9303395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000014957657 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 9*h + 7. Let r = 4 + -11. Let x = r - -12. Let d be o(x). What is the highest common divisor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 11592600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 59*a**2 + a + 1. Is f(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2184, 2182, 2180, 2178, 2176, 2174?\nAnswer: 2172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -751.3 rounded to the nearest 10?\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*w + 7 + 335 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 16*q = 54. Calculate the smallest common multiple of q and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26165 + -5?\nAnswer: -26203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 1, s: 1}. What is prob of sequence lp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 2*l - 13 = 0, -h - 169*l + 172*l + 3 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i**3 - i**2 + 558*i + 2. Let w(s) = -7*s**3 + s**2 - 560*s - 2. Determine 3*o(n) + 2*w(n).\nAnswer: 4*n**3 - n**2 + 554*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -7. Suppose 2*u + 4 = -2*n - s*u, -4*n + 3*u = -6. What is the third derivative of n*p**2 + 3*p**2 + 7*p**4 + 5*p**2 wrt p?\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (146 - 310 + 227)*((1 - 2 + 0)*(-3*n**2 - 4*n**2 + 6*n**2) - n**2 - n**2 + 0*n**2).\nAnswer: -63*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, l: 3, d: 5, u: 3}. Give prob of picking 2 k.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*s + 54 - 174 = 0, 4*r + s + 135 = 0. What is the units digit of (-126)\/r - 2\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 20 = -3*g, 4*g - 6*g = -2*i - 16. Solve 10 = q - 3*q + l, g*l - 16 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/78 and (1 + (-286)\/33)*(-3 + (-324)\/(-104)).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 53. Suppose -6*p + b = -5. Find the third derivative of -3*d**5 + 4*d**p - 54*d**2 + 48*d**2 wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/2 of a kilometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*f = 16*f + 297. Let y = -25 - -41. Calculate the remainder when y is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.3*-83.72.\nAnswer: 359.996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-130)\/(-6))\/((-5066)\/(-561) - 9) is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - d = -3*d + 765198, -5*d + 573895 = 3*l. Round l to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 4*h**4\/7 + 34*h**3\/3 + 97*h**2\/7 - 4*h - 1866. Factor q(n).\nAnswer: 2*(n + 1)*(n + 14)*(8*n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2 = -2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -31. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/8 + 5*n**3\/8 + 3*n**2\/8 - 17*n\/8 + 5\/4.\nAnswer: -(n - 5)*(n - 1)**2*(n + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234107974?\nAnswer: 2, 83, 1410289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 14 = -s. Suppose 5*t + 3*t = s. Is -2 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 580422 divided by -6\nAnswer: -96737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -184, -186, -190, -196?\n\"Answer: -t**2 + t - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 2, i: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -847.040008 - -8.18\nAnswer: -838.860008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -30\/7, 1.9, -15, 1\/6, 3 in decreasing order.\nAnswer: 9, 3, 1.9, 1\/6, -30\/7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k. Let l(o) = -o. Give l(h(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*o + 58*o - 4 = 0, -359 = -r - 3*o. Is r a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - c = 0, -21*j + 10 = -23*j + 4*c. Put -7, 13, j, -4 in decreasing order.\nAnswer: 13, j, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**3 - 48*f**2 - 39*f + 90. What is the tens digit of p(30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/15))**(2\/5)*(s*s**(-7\/5)*s)**(-33) assuming s is positive.\nAnswer: s**(-1477\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.5079 - 0.0521. What is b rounded to 1 dp?\nAnswer: -13.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.047 * 16056.\nAnswer: -754.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3851, -3943, -4105, -4343, -4663, -5071, -5573?\n\"Answer: -i**3 - 29*i**2 + 2*i - 3823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -332*q**3 - 242*q**3 + 707*q**3 - 10*q**3 + 1 - 1 + q - q - q**3 + (-2*q**2 + 4*q**2 - q**2)*(-4 + 2*q + 4).\nAnswer: 124*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -116264 equal to 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 520 = -s + 304, -664 = -4*l - 2*s. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -344 * -5\nAnswer: 1720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -102?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-6))\/(3\/(-30)). Let o be (3 - 8)*(-2)\/m. Let d be 6*3\/(-6) + o. Which is the second smallest value? (a) d (b) -1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 3\/2*v**2 + 1 - v. Give i(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fxo when three letters picked without replacement from {d: 1, o: 1, u: 2, x: 1, f: 5}?\nAnswer: 1\/144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*l**2 - 545*l + 3 + 545*l + 1277*l**2.\nAnswer: 1570*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and ((-3)\/4)\/(32\/(-40192)).\nAnswer: 8478","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 - 40. Let t(w) = 10*w**2 - 17*w - 68. Let k be t(-4). Let q = k - x. Calculate the remainder when q is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -206 - 37*u + 325 - 119.\nAnswer: -37*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297794992?\nAnswer: 2, 11, 1692017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 + -29. Let t = 29 - m. Is t\/(-3)*(-334)\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*-2*-4 - -1*sqrt(99).\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 3*p - 3. Let x be l(5). Let a = -13 - x. Let q be -1*a\/(-8 - -3). Round q to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/4 + 3817\/(-2082))\/(2\/(-3)). Solve 3*s = -4*q - m, -255*s - 6 = -259*s + q for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -1311 in ascending order.\nAnswer: -1311, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-20*(-1008)\/(-21120)).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*j + 7 - 196 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 278*b + 284*b - 564*b + 26 for b.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b. Let l(h) be the third derivative of 0*h**3 - h**2 + 0 - 1\/12*h**4 + 0*h. Give l(z(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((1 + 3)\/16). Suppose l*y - 2 = -2*k, -2*y + y - k = -2. Is (y - -2) + 1050\/21 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t = -36*t + 15. Let l(o) be the first derivative of t*o + 0*o**3 - 4 - 1\/4*o**4 + 0*o**2. Find the first derivative of l(q) wrt q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 44 = 51. Let r = -10 + p. Let z = 23 - r. Solve 0 = i + 5, 0 = -3*c + 7*c + 2*i + z for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 - 102. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10001101111 (base 2) to base 5\nAnswer: 14020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -916 - -915.9413. Let t = 0.0587501 + m. Round t to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314 = -45*m + 179. Let y(i) = -22*i - 19. Let h(s) = -65*s - 56. Let n(t) = 4*h(t) - 11*y(t). Let u(c) = c + 1. Give m*n(k) - 45*u(k).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 2, g: 4}. What is prob of picking 2 g?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*y**2\/5 - 984*y\/5 + 104\/5.\nAnswer: -2*(y + 26)*(19*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09 - 0.1. Let k = -4150 + 4149. Which is the nearest to k? (a) y (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 64, 151, 240, 331, 424?\n\"Answer: k**2 + 84*k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 6:55 AM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14347.\nAnswer: 14347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 2:47 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3012443 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-66)\/(-18) + (-6)\/9. Let p(r) = 2*r**2 + 4 + 2*r**2 + r**3 - 6*r**2 + r. What is the remainder when p(v) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-10))\/(16\/(-160))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/7 - 1092186*o\/7 - 1092188\/7.\nAnswer: 2*(o - 546094)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -712*s + 716*s - 93 = 19*c, -s - 10 = 0. Let z(p) = -p**2 - p. Let x be z(1). Let i be x*(-4)\/6*-9. Which is smaller: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1435 = -8*s. Let k = s - -813. Suppose 0 = 2*n - j + 840, -4*n - 2*j - k - 1154 = 0. Round n to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.042725 + 1.67338.\nAnswer: 1.716105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 8:57 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/(6*4\/16). Let x(p) = -p**2 - 4*p + 6. Let i be x(k). Solve z = 2*w - 3, 2*z + 4*w + i = w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.111 times -5?\nAnswer: -0.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*h - 1 - 2 + 25*h + 34*h**2 - 54*h + 1 to n*h + q*h**2 + s and give q.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -3*z**4 - 6*z**3 + 81*z**2 - 156*z + 84 = 0?\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 149 - 148 - 5*q in the form f*q + s and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ittitittiiti. Give prob of picking 2 t.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20688, 82881, 186532, 331635, 518184, 746173, 1015596?\nAnswer: 1326447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 621 - 616. Find the third derivative of -117*d**4 - 11*d**2 - 1584*d**x - 210*d**2 + 1582*d**5 wrt d.\nAnswer: -120*d**2 - 2808*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/29306112 and 155\/9324672.\nAnswer: 205142784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 39087.\nAnswer: -5\/39087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 17\/18141650?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 + 322 - 118 = 24*p for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2 (c) 2\/5 (d) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -753318 + 753318 - 2*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -853*b = 17565 + 2054 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 737*n - 1923*n + 1129*n.\nAnswer: -57*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3538 - -7077\/2. Which is the closest to o? (a) 0.03 (b) 1\/9 (c) 3\/5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*y = 199*y - 4*y - 2034. Let s(j) = -j**3 + 12*j**2 - 7*j - 7. Let t(v) = 1. Let l(a) = s(a) - 6*t(a). What is the units digit of l(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 + q**4 + 2*q**4 + (10*q**2 - 10*q**2 + 8*q**4)*(1 + 0 - 2).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 13. Sort i, -3, 8 in decreasing order.\nAnswer: 8, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*i + 365 = -1084. Solve 13*x + i = -29 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*g + g. Suppose -y - 2*u = -0 - 9, 0 = g*y - 2*u - 6. Let s = 5 - y. Put 4, s, -1 in decreasing order.\nAnswer: 4, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 9981*q**2 - 79764*q - 199460.\nAnswer: -(q - 9973)*(q - 10)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/36*-5*30\/(-2750).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -315 - -355. Solve s = -5*a + 5*k, -a + 3*k + 11 = -5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -366.861 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 348063781*x + 102485442 wrt x?\nAnswer: 348063781","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 5)*374\/170. Suppose -i*j = -8*j. Solve -5*q + 7*q + 2 = j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 9 = u. Let f be u\/(-6) + 7\/2. Solve 0 = -p - 0*p + f for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 130*s + 334*s + 223*s + 70*s + 1697 + 291*s wrt s?\nAnswer: 1048","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 divided by 684382\nAnswer: 25\/684382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 831 by -3.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 593763.7 kilometers to centimeters.\nAnswer: 59376370000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1924 - -2476. Is 88 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*q**3 - 120*q**3 + 185*q**3.\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34355, 68654, 102947, 137234, 171515, 205790, 240059?\nAnswer: 274322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from fsokrrn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.091 + 0.091. Let g = 115 - 116. Which is the smallest value? (a) g (b) -5 (c) 2\/5 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by -429.\nAnswer: -8\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/5, 1\/6 in ascending order.\nAnswer: 1\/6, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6982 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 11. What are the prime factors of p(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535*x = 639*x + 1872 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (4 + -5 - 4) - 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yyyyuyyyuuuuu.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 10*m**2 + m - 2. Let z be j(9). Is (-11 + 10)\/(2\/z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21683 is divided by 21101.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4900*b**3 + 1164*b.\nAnswer: -29400*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901 is divided by 184.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 AM and 1:01 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + f = -3*f + 552020, f = 4*n + 1104005. What is n rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 4*z + 8, -f + 3*z = z - 4. Suppose -s - 3*s + 12 = 0. Solve -5*x = -2*o + 18, 5*x - s + 23 = f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43*(-133)\/(-5719)*(-12)\/38.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92 and 14?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 8:40 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 7 = -5*a, -a + 11 = -2*a - 2*i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4918 is divided by 88.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 134267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17*j + 9*j - 4*j)*(-2*j + 2*j - j)*((-1 + 0 + 2)*(0 - 3 + 2) - 11 + 7 - 6) as z*j**2 + i*j + m and give z.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 6*k**2 - 9*k - 8. Let a = -114 + 107. Let b be j(a). Let g(f) = -4*f**2 + 28*f - 2. What is the remainder when 75 is divided by g(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/5 + 8*t\/5 - 24\/5.\nAnswer: 2*(t - 2)*(t + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2591*b - 1200*b + 162205 = 117*b - 60551 for b.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r - 6 = 0, 0 = -v + 2*r + 26. What is the common denominator of 41\/11 and 87*(2 + (-38)\/v)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3969.428 greater than or equal to 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -716, -2848, -6400, -11372?\nAnswer: -17764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 5918*y**2 - 41350*y + 192. Give a(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/(-49) + 2 + 0\/(-1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 1. Let r be b(2). Let q(y) = 5*y**2 - 10*y - 1. Let j(t) = 11*t**2 - 20*t - 3. Let i(f) = 4*j(f) - 9*q(f). What are the prime factors of i(r)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**4*k*z + 4*b**4*k - 2*b**3*k*z + 4*b**2 - b*k*z - 29*k wrt b.\nAnswer: 24*b*k*z + 96*b*k - 12*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2796809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27029017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 119, 7, 2, -7 in descending order.\nAnswer: 119, 7, 5, 2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 231.51399 months in millennia?\nAnswer: 0.0192928325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -832*x**2 - 2*x + 3*x - x.\nAnswer: -832*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -970456 at least -970449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 609182819675884 - 609177407162498.9999843. Let n = j - 5412513142. Let f = 243 - n. What is f rounded to six decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y - 18*y = -10*y - 403 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + w + 4)*(91 - 91 + 102*w**2).\nAnswer: 102*w**3 - 306*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 243\nAnswer: 48.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*w - 3173*w - 34*w + 901*w to the form k*w + c and give k.\nAnswer: -2288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41186, 37542, 31468, 22964, 12030?\nAnswer: -1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16297.\nAnswer: 43, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 558, 1106, 1654, 2202, 2750, 3298?\n\"Answer: 548*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c - 9 - 5*c + 3 + c.\nAnswer: 3*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -766*g**5 + 5*g**3 - 88*g**2 - g + 4 wrt g?\nAnswer: -45960*g**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3296, -3335, -3388, -3449, -3512, -3571, -3620?\nAnswer: -3653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 2\/13, 2076?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3 - 5)*1*-2. Let s(r) = -4*r**2 - 4*r**3 - 1 - z*r + 3*r**3 + 3 - r**2. What is the least common multiple of s(-5) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3 (b) 91 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eenlzkg. Give prob of sequence nl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -780*s - 11686 - 1960 - 9754 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/17 - 916*o**2\/17.\nAnswer: 2*o**2*(o - 458)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 188505 and 360?\nAnswer: 1508040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 346493359 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**3\/8 + 5433*k**2\/2 - 370263*k\/8 + 43566 = 0. What is k?\nAnswer: -7261, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 4769 + 4853 = 0 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 50*g - 7. Let k = -29 - -35. Is x(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.7 + -5.3. Let o = z - -6. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -58627*l**4 - 2*l**3 + 24572*l**2?\nAnswer: -1407048*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4}. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 4*s - 19*s)*(s + s + 0*s + (5*s - 6*s + 8*s)*(2 - 1 + 1)).\nAnswer: -288*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -470314 - -718087. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x + 14 = -s, -2*s = 21*x - 23*x - 26 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 3*y**2 + 3*y - 8. Let s be u(3). Calculate the remainder when 242 is divided by 806\/13 - (s + -2 + 2).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6605 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 768808 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 greater than 270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-30)*2\/8.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11074 is divided by 1006?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -28, -24, 1, -2 in descending order.\nAnswer: 1, -2, -5, -24, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0348 greater than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 0.211 (c) -1\/206 (d) -625 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 12:14 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.32172 and -0.0837.\nAnswer: -0.026927964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s + 6. Let h(y) = 9*y - 11. Let m be (468\/(-63) - -7)*(-9 - -2). Determine m*h(d) + 7*u(d).\nAnswer: -d + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25945 is divided by 76.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 240.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -467 + 406. Let x be ((-3)\/(-7))\/((-183)\/r). Let y = -0.08 + 0.11. Are x and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577 is divided by 97.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175, 179, 185, 193, 203, 215?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 24463167 = -u, w + 122315775 = 5*u - 4*w. Suppose 4*q - u = -5*d + 13036861, 2*d - q = 14999997. What is d rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 divided by 626974.\nAnswer: 13\/626974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b + -c?\nAnswer: 3f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -10101011100?\nAnswer: -10101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*l - 91*l = 9*t - 3, 5*l + 30 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - s + 1. Let o(j) = 2*j**3 + 4*j**2 - 4*j + 7. What is o(h) - 4*x(h)?\nAnswer: 2*h**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1024 and 723024.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 5. Suppose 11*r = 28*r + 136. Give x(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -491494 (base 11) to base 12.\nAnswer: -316203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45109?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49411511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -686*z**5\/15 - 3*z**2 - 1198*z. Let y(x) = -93*x**2. Calculate 5*u(d) - 147*y(d).\nAnswer: -49*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -44.08907 and -0.4.\nAnswer: 17.635628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 663766 to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/4 + 7\/(-28). What is the smallest value in b, 0.2, -0.14?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -599018, -599049, -599096, -599165, -599262, -599393, -599564?\n\"Answer: -j**3 - 2*j**2 - 18*j - 598997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -5. Let x be -6 + (0 - (-112)\/64)\/((-3)\/12). Sort n, 5, x in decreasing order.\nAnswer: 5, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, z: 5, h: 3, s: 2, c: 2}. Give prob of picking 1 c and 2 p.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m - 11. Let d = 74 - 68. Let b be 14\/d - (-6)\/9. Suppose -5*u = -v + 29, u - 6 = -2*v - b. What is x(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068152 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 76135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccq when four letters picked without replacement from {c: 19, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-120)*18\/(-48).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 6*r + 4*c + 681 = 0, -5*r + 3390 = -5*c. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 217, 357, 507, 667, 837?\nAnswer: 1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 - 5*x + 5. Let o(v) = 7*v**2 - 10*v + 10. Let f(g) = -2*o(g) + 5*t(g). Is f(4) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 48555, 97137, 145723, 194313, 242907?\n\"Answer: 2*t**2 + 48576*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 + -5.1. Let i = x - -5.9. Which is the second smallest value? (a) 1\/2 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6 = -9. Let x(m) = m**4 - 5*m**2 - 3*m + 3. Let n(s) = -s**2 - s + 1. Let v(t) = q*n(t) + x(t). What is the third derivative of v(p) wrt p?\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i. Let c = 3 - -14. Let g(o) = 9 + c*o - 13*o + 16*o + 15*o. Let u(z) = -9*z - 2. Let p(d) = -2*g(d) - 9*u(d). What is p(w(t))?\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 7:37 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v - 10*v - 3*v - 10*v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 139468 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 183, 1 in decreasing order.\nAnswer: 183, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 261.642 + 0.358. Which is bigger: a or 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 50 = -30. Solve 3*o = x*h + 9, h + 2*o = -3*h - 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 238248 by -13236.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143294425 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 160135 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*y + 10, 0*y + i + 9 = 5*y. What is the second derivative of -16852*s**2 - 75*s + 16852*s**y - 58*s**3 wrt s?\nAnswer: -348*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**4\/2 - 1085*c**3\/2 - 2875*c**2\/2 - 1075*c\/2 + 359 = 0 for c.\nAnswer: -359, -2, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {k: 4, a: 1, d: 2, i: 5, s: 3, h: 5}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -7, -4\/3, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**3*j - 27*i**3 - 15065*i**2*j - 848*i**2 - 2*j - 2 wrt j.\nAnswer: -i**3 - 15065*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20038.72 micrograms to grams.\nAnswer: 0.02003872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -81 - -85. Let m = -6.38 - -6.2. What is the second biggest value in -0.4, 2, m, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*o - 10 + 98*o**3 - 99*o**3 + 16*o as b*o + j + q*o**3 + i*o**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 g when four letters picked without replacement from {e: 7, g: 7}.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/12 - (-55)\/(-4). Let x = 81 - l. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let k(t) = 5*t + 1. Suppose -32*v - 112 + 16 = 0. Calculate v*p(o) + k(o).\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(3200) + sqrt(3200))**2 - sqrt(3200) - sqrt(3200)) + 1 + (sqrt(3200) + 2*(sqrt(3200) + 2))**2*-1.\nAnswer: -144015 - 1040*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2366*b - 76026. What is q(32)?\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (228\/(-380))\/((-24)\/10)*-20. Let c(l) = l**3 - 18*l**2. Let x(g) = -11*g**3 + 9*g**3 + 0*g**2 + 27*g**2. Give n*x(r) - 8*c(r).\nAnswer: 2*r**3 + 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4287 a factor of 1116667493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/84 + 335\/7. Is o >= 50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7 - 4)*(2*a - 2*a - a**2)*(1 - 1 + a**2).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyi when three letters picked without replacement from yyyiyyyyyyyyyyyyiyy.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3630 and 5673030.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*c = 279*c + 50 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-4 + sqrt(324)\/(sqrt(24)\/sqrt(2)) - ((5*sqrt(144))\/(sqrt(60)\/sqrt(5)*2))**2).\nAnswer: -75 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 851 - -1873. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(200) + (sqrt(200)*-4)**2)*2 + (0 + 2*sqrt(200))**2 + sqrt(200))*5.\nAnswer: -216000 - 900*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024172 (base 12) in base 3?\nAnswer: 12201011200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17699 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -188? (a) 2 (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 r, 1 e, and 1 b when four letters picked without replacement from nexnebnrenbneeenen.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -578c4639?\nAnswer: 578c463a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14355, -14181, -13891, -13485, -12963, -12325, -11571?\n\"Answer: 58*x**2 - 14413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49225 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 15*z + 13. Let o be f(-16). Which is the closest to -5? (a) 2\/9 (b) 0 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8332.2 + 8332. Sort -44, -1.1, 0.5, z, -0.1 in increasing order.\nAnswer: -44, -1.1, z, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1011 - 363. Let d = r - 643. What is the smallest value in 0, 0.06, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -115\nAnswer: 6\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/48 and 7\/237.\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -g - 3*d - 144, -37 = g + d. Let s = 112 + g. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201238 to the power of 1\/2, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/8 - 21\/(-84). Calculate the common denominator of (12\/(-18))\/(d + (-32)\/130) and ((-36)\/28)\/(4\/(-21)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2277 and 1163961.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11593431 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55573.59 less than or equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 125 (b) -2 (c) -0.4 (d) -17546 (e) 9 (f) -4 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -20. Let r = -31 + -8. Find the common denominator of (-7)\/28 - r\/s and 53\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 924 + 752. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - -20110?\nAnswer: 20022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/9 + 11\/18. Suppose -2*c + 3*w + 5 = 0, 3*w = 5*c - 0 - 8. Which is bigger: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -3*j**2 + 4*j - 2*j**2 + 3*j**2 - 3*j**2 + 118. Give c(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1068689?\nAnswer: 809, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -t - 19, 104 = -5*t + 5*n - n. Let r(q) = 6*q + 12*q + 11*q - 5 - 30*q - 9. Let p be r(t). Let z(f) = f**3 - 7*f**2 + 6*f + 5. Calculate z(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 192368, 192352, 192336, 192320, 192304, 192288?\nAnswer: 192272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (16 - (1 + 0)) + (378 - 365).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1289*r. Let h(o) = -666*o. What is h(u(l))?\nAnswer: -858474*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + s**3 - s**2)*(1 - 1 + s**2) + (-s**3 + s**3 - 3*s**3)*(2 - 2 + s**2) + 2*s**5 - s**5 - 2*s**5.\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-20)*(1408\/(-55))\/32\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 62 (b) 0.02 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-117)\/(-66))\/3 + 0. Let x = 1\/11 - v. Let f = -0.04 - -0.14. What is the closest to -1 in x, f, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**5 + 680*k**4 - 19145*k**3 + 51430*k**2 + 2660*k - 68600 = 0.\nAnswer: -1, 2, 35, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + 503 - 503.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -182*z**2 - 195*z**2 - 19387 + 556*z**2 - 181*z**2 in the form a + u*z**2 + s*z and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385062661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-8 + 10 - 27)\/(-41 + -10) and 7\/51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -c - 2*f, -6 = -3*c + 2*f + 9. Suppose 0 = 8*q - c*q - 175. What is the remainder when 103 is divided by q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -6. Let h be (-12)\/9 - (-2)\/j. What are the prime factors of (100\/(-16))\/(h\/8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70598320 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5*-332163\nAnswer: -1660815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10 - -2)\/(2 - 4). Sort n, -5, -3 in decreasing order.\nAnswer: -3, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 3*v**2 - v + 4. Let h be 3 + 0 + 3\/3. Suppose h*a - 4*m + 20 = -6*m, -6 = -2*a + 3*m. What is f(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 54*g + 340. Calculate y(6).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/13)*r**(-10))**(-16\/9)\/(r\/(((r**15\/r)\/r)\/r*r)*r*r\/(r\/(r*r\/r**0*r)))**(-2\/19) assuming r is positive.\nAnswer: r**(33392\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 2.47 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 282.2283 millennia in months?\nAnswer: 3386739.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4784)\/(-69) + 4\/6. Calculate the highest common divisor of q and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 23374 - 9?\nAnswer: 23366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120 - -108. Let c = f + -226. Let k(l) = 1. Let n(t) = 2*t. Let h(o) = 2*k(o) + n(o). Give h(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 6 - 9 = 0. Suppose 0 = -4*w - 31 + 131. Let j(y) = 15*y - 25. Let l(a) = 4 + 74*a - 76*a + 4 - 5. What is h*j(n) + w*l(n)?\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**2 - 36*f**3 - 1170 - 9*f**3 + f**3 + 47*f**3 wrt f.\nAnswer: 9*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2. Let v be 2\/6 + (-15)\/(-9). Let m(a) = 0*a**2 + a**v + 2*a**2. Calculate m(c(u)).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.597 + -5.9132. Let q = -1.3 - b. Round q to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.92202 centimeters in millimeters?\nAnswer: 309.2202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {o: 2, i: 1, z: 1, g: 1, x: 1, f: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -4) + -8 + 4. What is the nearest to 8 in 2, 1\/5, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10666?\nAnswer: 2, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/3604 and 77\/16.\nAnswer: 14416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhdmm. Give prob of sequence md.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 3 + 1\/2*j**4 + 1\/3*j**3 + j + j**2. Does 19 divide w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 752 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 + -7 + (-6 - -21). Suppose -3 - 10 - 22 - 29 - 4*w**y - 40*w = 0. Calculate w.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4016 divided by -4\nAnswer: -1004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j - 1. Let c(k) = 4*k**3 - k**2 + 10*k + 5. Let t(d) = -c(d) - 6*o(d). What is the hundreds digit of t(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10072?\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1391 - 123 - 427)*(286 - 286 + 2*o**3 + 16*o**2) to the form s*o**3 + t + a*o**2 + w*o and give s.\nAnswer: -3882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5064*p**2 - 7*p + 728. Let x(m) = 7337737*m**2 - 10142*m + 1054768. Let g(v) = 10142*h(v) - 7*x(v). Let q(z) = 2*z**2. Determine q(g(w)).\nAnswer: 51430082*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 7*i + 49. What is n(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 6*i**3 - 1 + 3*i**3 + 0 to the form q + m*i**2 + v*i**3 + g*i and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-6)\/(-2) - (-5174)\/26.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1489, -1622, -1841, -2146, -2537, -3014?\n\"Answer: -43*q**2 - 4*q - 1442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**6 - 2*r**4 - 5270*r**3 - 123922*r**2?\nAnswer: -120*r**3 - 48*r - 31620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*(sqrt(833) - (4 + sqrt(833) + 3)))**2.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 4*b + 23, f - 2*b + 1 = 12 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 520 a factor of 427924120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*g = -30*g. Solve 4*m - k = -2, g*k - 3*k = -4*m + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17512 (base 13) to base 6\nAnswer: 543224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o - 6 = 0. Suppose -1 - o = 2*f, 5*j = -4*f + 122. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/270 and -113\/810.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 2*q = -5, q + 206 = 4*m + 231 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4885*d + 872. Let f be n(-6). Round f to the nearest 100.\nAnswer: -28400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/9*252\/(-2730).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**2\/6 - 3419*k\/2 + 5127 = 0.\nAnswer: 3, 10254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 14 = -4*x, 129*x = -5*j + 133*x + 35. Calculate the smallest common multiple of j and 10698.\nAnswer: 10698","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-7 - (2 - 9) - (2 + -6) - -9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1158040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5080858 to the nearest integer?\nAnswer: 2254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00099349914 rounded to 4 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -306045272.844 - 49\nAnswer: -306045321.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.032253 and 0.17.\nAnswer: 0.00548301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (-13)\/((-52)\/(-3048)). What is v rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and 269169762.\nAnswer: 269169774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 9*s - 6. Give p(4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 > 0.115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*o + o + 2*o)*(519 + 123*o - 519) + 10*o**2 - 10*o**2 - 11*o**2 + (-o + 3 - 3)*(o - 2 + 2) to y*o + z*o**2 + q and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**5\/7 + 144*r**4 - 582*r**3 - 5008*r**2\/7 + 36504*r\/7 - 36576\/7 = 0?\nAnswer: -508, -3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 1. Let i(r) = r**3 - 7*r**2 + 2*r - 11. Let h(b) = i(b) + 2*m(b). Determine h(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -466.3 - -0.117395\nAnswer: -466.182605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42595667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 106287109 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of d**5\/60 + d**4\/6 + 5*d**3\/6 + 6*d**2. What are the prime factors of a(4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -269 - 94. Which is the smallest value? (a) 1\/9 (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4816 - -2234. Does 94 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -487\/3 or -161?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.36 - 14.54. What is the closest to 0.1 in 2, g, -3.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 8*y + 10. What is the units digit of p(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -142*c - 136*c - 13 + 279*c - 1225*c**2 + 2*c**4 + 11 to b*c**4 + o + t*c**3 + y*c + m*c**2 and give m.\nAnswer: -1225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 733*u**2 + u - 733*u**2 + u**3 to the form w*u**2 + a*u + d*u**3 + m and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 6*k**2 + 15*k + 3. Let v be l(2). Let x be 79\/4 - (-2)\/2. Let f = x - 43\/2. What is the nearest to v in 2, 0.5, f?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from {j: 1, m: 1, p: 2, a: 4, v: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 262305?\nAnswer: -262300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -335153360 by 4.\nAnswer: -83788340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*m = -12, 33*m = 34*m - 4. Suppose -2*b = o*r - 76, 5 = -3*r - 4. Suppose 11 = -n + 26. Calculate the remainder when b is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/13)\/(n**(-3\/8)*n))\/((n*n*n**46*n*n)\/n**21) assuming n is positive.\nAnswer: n**(-3089\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 9:07 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/820 and 103\/1640.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 6715738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 27. Suppose 7*y - 8 = 20. Solve -5*o + y = -4*k, -4*k + s = 5*o - 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3452, 3457, 3462, 3467?\nAnswer: 3472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(114)*1*4*3)\/(sqrt(30)\/(sqrt(5)*1) + (sqrt(6) - -1*sqrt(150))).\nAnswer: 2 + 12*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/5 (b) 2\/9 (c) 3\/20 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -21*d**2 + 3*d + 2. Let s be a(5). Let c be 39473\/49 - 12\/21 - -2. Let p = s + c. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(28))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 8:00 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 3*l = -4, -2*w + w - 8 = 3*l for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11120120 (base 3) to base 9\nAnswer: 4516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5080213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5, 11, 13, 11, 5, -5, -19?\n\"Answer: -2*u**2 + 12*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.903008 to two dps.\nAnswer: -17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**6\/10 - 3*q**5\/20 - 21*q - 2. Find i, given that f(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from lwwtb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 245029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 4*q - 1. Let s be n(-4). What is the closest to s in 1, -0.5, 2\/15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 33*x - 473. Calculate the remainder when 217*(2 + -2 - -1) is divided by d(-44).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -284 or -293?\nAnswer: -284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 - -51. Let g = r - 1. Let y = -5.8 + 9.8. Which is the biggest value? (a) 0.4 (b) g (c) y (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/61241012 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 63 + 202 = 0. Let i = z - 82. Let f = -18 - i. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + g - 3. Let n(c) = c**2 - 2*c + 4. Let i(p) = -7*k(p) - 6*n(p). Let y be i(-6). Suppose -y*o + o + u = 0, o = u + 1. Which is bigger: o or -6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5826 - 53476 - 15328 = 0. What are the prime factors of v?\nAnswer: 2, 17, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o = 94 + 10. Sort o, 20\/11, -2\/7 in descending order.\nAnswer: 20\/11, -2\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*d - 8302 = -191*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 0*c + 5*c)*(10*c + 53 - 53)*(-5*c**2 + 3*c**2 - 2*c**2) to x*c**3 + p*c**4 + b*c**2 + w*c + h and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -311011301?\nAnswer: -311011233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-12)*2*(-2)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9*y**2 + 1 + y.\nAnswer: -9*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -40572*y. Let d(p) = -p - 97. What is v(d(q))?\nAnswer: 40572*q + 3935484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r - 14*r = 1032. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -18*o**5\/5 + 3*o**4 - 1091*o - 988. What is the derivative of d(k) wrt k?\nAnswer: -72*k**3 + 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -100 - -104. Let p(a) = -a + 12. What is the remainder when 498\/r*36\/54 is divided by p(-9)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7666810 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, 8, 1\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 0.4 (c) 86 (d) -571\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3025)*1)\/sqrt(5))**2.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 285 in descending order.\nAnswer: 285, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16052749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.998 - 0.002. Let o = n - -22. Let a = -2 + 2.5. What is the third smallest value in 2\/3, a, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6715528 + 6715585.30323. Let m = 57.1097 - -0.1903. Let j = r - m. What is j rounded to 4 dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 3, -j - 4*x - x + 12 = 0. Which is the third biggest value? (a) j (b) 1\/3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**4 + 15*w**2 - 10*w.\nAnswer: -5*w*(w - 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1727*q - 3. Let p be f(-1). What is p rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 1, -0.146 in ascending order.\nAnswer: -0.146, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2897, 5992, 9087, 12182, 15277, 18372?\nAnswer: 21467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 13, m: 5}. Give prob of sequence im.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134 by 11.\nAnswer: -134\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + z = 0. Suppose -2*n - 3*u = -847, z*n = 3*n - 2*u - 1303. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*p = 189*p + 88 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 11. Suppose 195 = h + x*h. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2999, -3057, -3225, -3557, -4107, -4929, -6077, -7605?\n\"Answer: -9*c**3 - c**2 + 8*c - 2997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*j = -240. Suppose j + 20 = 2*y. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -8*f**3 - 5*f**2 - 6*f. Let g(y) = -8*y**3 - 6*y**2 - 7*y. Determine 6*c(d) - 5*g(d).\nAnswer: -8*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -337570620*k**2 + 4718683*k - 18?\nAnswer: -675141240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.51 - 4450218.\nAnswer: -4450226.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14660 (base 7) to base 10\nAnswer: 4109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + sqrt(7) + -3).\nAnswer: -3*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 31*m + 89. Let z be y(21). Suppose -z = -f - 3*f - 2*k, f - k = 182. What is the highest common factor of f and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2. Let n(j) be the first derivative of j**4\/24 - j**2\/2 - 4. Let g(l) be the second derivative of n(l). Calculate g(m(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20151 in 5, 1, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*l**3 + 2*l**2 + 0*l + 0.\nAnswer: 2*l**2*(l + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f**3 - 4*f + 1795. Let n(r) = 11*r**3 + 10*r - 3584. Calculate -5*c(y) - 2*n(y).\nAnswer: 3*y**3 - 1807","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 + w - 8. Let l be v(0). Let i = -6 - l. Suppose 5*x + 10 = -5*d, -4 = 3*d + i*x - 2. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2149 or -1\/3?\nAnswer: -2149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-14)\/21)\/(2 - 2\/3). Suppose 3*r + r + 12 = h, -2*h = -4*r - 16. What is the second biggest value in a, 4, r, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*s + s + 53 = 0, 75 = -5*r + s. Let l = r - -15. Is l\/(-5) + (-7)\/((-35)\/159) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**3 - 3*m**2 + 2*m + 1. Let l be h(2). Let o = l + 3. What is the remainder when 23 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3837 divided by 63?\nAnswer: -1279\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1857 - 4170 + 1995)*(-3*p - 4*p + 2 + 4*p).\nAnswer: 954*p - 636","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 6:35 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.1133ml to litres.\nAnswer: 0.0321133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2761538073?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 12 - 34 + 0 + 29*u**2 + 5.\nAnswer: 29*u**2 + 2*u - 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*f = -f - 33, 4*i = -5*f + 39. Let l be 32\/6 + 4\/i. What is the tens digit of ((-4)\/l)\/(2\/(-159))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2527)\/(-532) - 7\/2*2.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l. Let o(z) = -2*z + 1. Calculate 6*o(q) - 13*t(q).\nAnswer: q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6967 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, p: 1, i: 3, t: 1, r: 10, k: 2}. What is prob of sequence tir?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmam when four letters picked without replacement from {j: 4, m: 3, k: 3, a: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 16 - 29 + 22 - x**2 - 5733*x in the form j + o*x**2 + t*x and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1.8. Let j be (-14)\/(-16)*(-12)\/(-28). Let g be ((-3)\/(-3))\/(28\/12). What is the closest to 0 in j, a, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -9.6. Let s = 15.6 - h. Let j = s - 16.4. Which is the third biggest value? (a) j (b) 2\/11 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6606, 6605, 6604, 6603?\nAnswer: 6602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -0.03, -59, -4, 0.5, -5 in decreasing order.\nAnswer: 13, 0.5, -0.03, -4, -5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) -5 (c) 2\/13 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 1150?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54 and -3*(-2)\/4*2?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 12:05 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -187*d*l**2*w - 3*d*l**2 + 17890277*d*l*w - 2*d + 275*l**2*w + 30*l**2 wrt l?\nAnswer: -374*d*w - 6*d + 550*w + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-5*4\/20?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -40*y + 158. Let v = -4 - -8. Suppose l = -1 - v. Put y, l, 0, -4 in decreasing order.\nAnswer: y, 0, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32536 and 13880671.\nAnswer: 4067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/((-44)\/20 - -2). Let q = 183.5 + -27.5. Let x = q - 156.2. What is the third smallest value in d, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.529325t to kilograms.\nAnswer: 529.325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 11*j**2 + 7*j + 2. Let w(i) = i**3 + 13*i**2 + 8*i + 2. Let z(r) = -6*p(r) + 5*w(r). Calculate z(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*l = -451*l - 108 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**5\/60 - g**4\/24 - 40*g**2. Suppose -4*s = d - 7, -3*d + 9 - 3 = -3*s. Let y(b) = b - 1. What is s*v(z) - 2*y(z)?\nAnswer: -z**2 - 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46196700 rounded to the nearest one hundred thousand?\nAnswer: 46200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123*d - 529*d - 136*d to m*d + c and give m.\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t - 4. Let h be l(-7). What is the greatest common divisor of 50 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (585\/20)\/((-6)\/(-16)) - 7. What is the greatest common factor of k and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (736\/(-36))\/(2\/(-8)). Let d = m - 82. Let u be (1\/(-2))\/(2\/(-3)). Which is the second biggest value? (a) 3\/5 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*i - 3*w + 1, 2*w + 10 = 0. Suppose -3*g = i*g - 15. Solve g*d = -2*d + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 269 + -175. Let s = 106 - h. Suppose s = d - 4. Calculate the remainder when 43 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4896)*1 + sqrt(4896) + sqrt(34))\/sqrt(2) + sqrt(272)*1 + -1)**2.\nAnswer: -58*sqrt(17) + 14298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97*(1\/20)\/(12\/(35040\/146)).\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, m: 10, v: 6}. What is prob of picking 2 m?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**5 + 5331*d**4 - 15058*d**3 - 98142*d**2 + 220109*d - 112245 = 0 for d.\nAnswer: -1069, -21\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 3 - (3 + 1 + 6 - 7 - -65).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*o**2 - 86*o**2 + 186*o**3 - 180*o**3 + 292*o.\nAnswer: 6*o**3 + 292*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from ywwsspswpsyyywwcyp.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 120487 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/104 and 21\/286?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/3 + 66609*m + 199826\/3.\nAnswer: (m + 1)*(m + 199826)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -2*t**2 - 4080. Let r(o) = -19*o + 5. Calculate r(w(s)).\nAnswer: 76*s + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 4:21 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(2\/(3 + -5)). Solve l = -38*w + 34*w - 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1236 = 2*j - 2912. Is 105 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -754 * -1\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10636347811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-150)*7\/(70\/75)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 159600 and 18240.\nAnswer: 638400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 19*u + 11. Let p be n(-5). Round p to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.32? (a) -0.2 (b) 0.3 (c) -3 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-5 + 2 + 1)*(-7*x + 5*x - 4*x).\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 16 = 2*d, a = -2*d + 2*a + 4. Let s be -1 - 1480\/(d - -2). Let n = -521 - s. List the prime factors of n.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - 46. Solve v*h = -0*h - 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 equal to 0.679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.800579 + 0.1291.\nAnswer: 1.929679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, -462, -0.36509, -1, -2\/3 in decreasing order.\nAnswer: -1\/8, -0.36509, -2\/3, -1, -462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, -2\/13, -0.2 in descending order.\nAnswer: 0.24, -2\/13, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75800 is divided by 1759.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 17690424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m + 4*m - 3*m)*(-615*m - 5931 + 2966 + 2965) in the form y*m**2 + b*m + g and give y.\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 40535 (base 6) to base 3\nAnswer: 21101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 20 + 18 + 21 - 12*m + 41 + 18. Calculate b(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -7 + 4 + 3 - 3*s. Let z(c) = 3*c. Let o be (-2 - -1) + (-5 - -7). Let u be (o + -4 - -1) + -2. Calculate u*z(y) - 3*a(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 48.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f - 2. Let l be w(7). Solve 3*m = 5*x - 6, -1 = m - 3*x + l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/(j*j**(8\/7)\/j))\/j))\/(j**5*j))**(2\/25) assuming j is positive.\nAnswer: j**(-54\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.81, 51, 4 in decreasing order.\nAnswer: 51, 4, 0.81, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4052 - -2?\nAnswer: -4050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34962, 69925, 104888, 139851?\nAnswer: 174814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 56 = 5*a, -3*a - 6 = 2*z - 4*z. Let l be (z\/42)\/(3\/(-4)). Let k = -4.6 - -5. Put l, -2, k in decreasing order.\nAnswer: k, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88.9 + -86. Let j = -12.1 + o. Round j to 0 dps.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 5*j**4\/4 + 148*j**3\/3 - 215*j**2\/2 + 62*j + 40. Find d, given that x(d) = 0.\nAnswer: -31, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -150*n**5\/7 + 1455*n**4\/7 + 255897*n**3\/7 + 330465*n**2\/7 + 11607*n + 5076\/7 = 0.\nAnswer: -36, -1, -1\/5, -1\/10, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -188 - -424. Suppose 234*m - s*m = -242. Let f(y) = -y**3 + 2*y**2 + 3*y + 1. Let g be f(-2). Calculate the highest common factor of g and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1292746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -17917.8061 rounded to the nearest integer?\nAnswer: -17918","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*((-13)\/(-26))\/((-1)\/(-2)). Let r(q) = -q**3 - 6*q**2 - 5*q + 3. Let o be r(-5). Suppose -339*v = -325*v. Solve v = -f*m - m + o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s**3 - s**2 + s - 5. Let u(d) = -d**3 + 1. Let n be (-1 + 2)\/(5\/(-35)) + 2. Determine n*u(c) - z(c).\nAnswer: 11*c**3 + c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 450*z + 50625.\nAnswer: (z - 225)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*((-21)\/(-2))\/(-7). Suppose k = 3*t + w*k - 9, -5*t = -5*k + 10. Is t less than -2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -0.841, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174177779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1017555 + -1?\nAnswer: -1017556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -928 - -905.08. Let k = -23 - z. Let l = k - 0.42. Which is the closest to -1? (a) 3 (b) -2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.297 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6*p + 860 = 0. Suppose 11*g - p = 10*g. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -0*m - 4. Let z(j) = j + 8. Let h be z(-8). Suppose m*u = -h*u. Solve u*q + 3*q = 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 61*z + 9877. Give r(-162).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 41916.\nAnswer: 41916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15173*l = -526900 - 1081438 for l.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 4:13 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/((sqrt(4) - ((sqrt(32)\/sqrt(8)*-2 - sqrt(4)) + sqrt(4))) + sqrt(4) + sqrt(4)).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -159089*j*l**2 - 873*j*l + 732*l**2 + 601*l + 112 wrt l?\nAnswer: -318178*j + 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 + 0)*(-12794 - 43*h + 260*h + 12800) - 2*h + h + 2*h as o*h + a and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16920 = 248*l - 598*l + 44920. Let m = -55 + 152. Let j = m - l. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91901.\nAnswer: 29, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, d: 7, e: 3, o: 5, r: 3}. Give prob of sequence ed.\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 4*i + 8. Let u be g(-2). Suppose 720 - 128 = u*f. Suppose 0 = 2*o - f - 90. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0211 - 328.9789. Let z = j + 329. Put z, 2\/3, -4 in descending order.\nAnswer: 2\/3, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 472*f - 501*f = 174 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*g**3 + 17*g**2 - 17*g**2.\nAnswer: 30*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002256412532 to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30112 (base 5) in base 11?\nAnswer: -1484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 24 = -9. Let u = w - -6. Let p(o) = -7*o - 58. What is the smallest common multiple of p(-9) and u?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 988*h**2 - 1003*h**2 + 3 - 3. Let a(r) = r**2. Give t(a(q)).\nAnswer: -15*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 10090369067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -0.6, 0.04, -3, -251 in decreasing order.\nAnswer: 0.04, -0.6, -3, -9, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 499 not equal to -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(6)\/(sqrt(6)\/sqrt(2)) + sqrt(2) - sqrt(2) - -4*sqrt(10)\/sqrt(5)))**2.\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*n - 5. Let s(z) be the second derivative of z**5\/20 - z**4\/3 + z**3\/3 + 2*z**2 - 2*z. List the prime factors of s(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**2 - 99*k - 36. Calculate a(17).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3804, -15234, -34286, -60960?\nAnswer: -95256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -11*n**5\/60 - n**4\/6 - 7*n**3\/6 + 3*n**2. Let g be d(-3). Let h = 243 + g. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*h**3*j**4 - 2*h**3*j**2*v + 278*h*j**2*v + 13*j**4*v - 4*j**2 wrt j.\nAnswer: -528*h**3*j + 312*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 2544160 to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + -14. Let t = n + 20. Suppose 4*y = 4*b + 2920008, -t*b + y - 2920002 = 2*b. What is b rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 670 and 536?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13975 divided by -2.\nAnswer: -13975\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64520095\/981827 - 5\/140261. Determine s, given that -3364\/7 + 8\/7*s**3 + 928*s + w*s**2 = 0.\nAnswer: -29, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -376?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + (3 - -1) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17 - 2*z + 35 + 5*z + 2957*z**2 - 2965*z**2 with respect to z.\nAnswer: -16*z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * -472.\nAnswer: 42.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 8*u**2 - 8*u + 1. Let v be h(7). Let s be (-135)\/v - (-6)\/(-12). List the prime factors of 1016\/s + (-6)\/33.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -42 + (4 + 1 + -6)*-3. Is -39 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -114*m - 180. Let o be r(-12). What is the highest common factor of 24 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2123013 (base 4) in base 6?\nAnswer: -113543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 167*m + 6963. Let k be v(80). Suppose -2*x + 2*f + 8 = 0, -7 = -4*x + 3*f + 5. Solve 5*o - k*i - 8 = x, o + 24 = 3*o + 4*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 108367340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/10 of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -347 - -349. Suppose -3*x - p + 11388 = 0, 0 = 2*x - j*p - 10566 + 2966. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 - -79.68?\nAnswer: 79.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4906996561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 132\/(-396)*(922 + -1). Which is smaller: -330 or r?\nAnswer: -330","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -55 and -0.404.\nAnswer: 22.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(252) - ((sqrt(252) + -1*sqrt(252) - sqrt(252)) + sqrt(252)))*2.\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**2 + 2316*i - 882117 = 0. Calculate i.\nAnswer: -2649, 333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 25 = 10*c, -1893*s - 1891*s + 5676*s = -2*c + 1890*s + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265517 is divided by 436.\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 20*i**2 - 36*i - 197. Calculate t(22).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chhz when four letters picked without replacement from hhhzhzhzzchhh?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, s: 7}. Give prob of sequence nn.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6390 * 0.28.\nAnswer: -1789.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -43, -60?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -775.59552 rounded to one dp?\nAnswer: -775.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9885.327kg to milligrams.\nAnswer: 9885327000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 228, 5, -4, -36.\nAnswer: -36, -4, 5, 228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 1 + (21 - (-18 - -31)) - -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372255 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 divided by -398?\nAnswer: 85\/398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, -0.2, -2, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -6*l - 5*g, 232*g - 237*g = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 429 divided by 1\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 239469.449 + -239330. What is s rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1367840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2556.95 centuries?\nAnswer: 3068340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5667 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 300, 625, 952, 1281, 1612?\nAnswer: 1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1. Let s = 90 - 85. Let r(i) = i. Let b(w) = s*r(w) - o(w). What is b(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 8 = -3*r. Let j(i) = -5*i**2 - 3 - r*i - 7 - i**3 + 3. Does 13 divide j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -62119225 or -62119224?\nAnswer: -62119224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -353 divided by 28681.\nAnswer: -353\/28681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*s**3 + 54*s**3 - 127*s**3 - 83 + 83.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -149115781*y**4 - 279794985.\nAnswer: -596463124*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -128.622 - -109.54. Let z = 19 + p. Which is smaller: -0.2 or z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((0 - -2) + -1) - (-7 + -43)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 5*i + 9, 3*i = -20*p + 15*p + 5. Which is the second smallest value? (a) p (b) 0 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 6*j + 3. Let n(x) = -2*x**2 + 7*x + 4. Let w(i) = -2*n(i) + 3*t(i). Let k = -21 - -12. Let q be k\/6*(3 + -1). Determine w(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 20*h + 25. Let k = -84 - -103. Suppose -5*t = -0*t - 50. What is the lowest common multiple of y(k) and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 337.5 + -347. Round l to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4433400 rounded to the nearest one hundred thousand?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158562, 317132, 475708, 634290, 792878?\nAnswer: 951472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*p = 2, -k = -0*k - p + 1. Let s = 0.03 - 0.23. What is the closest to 1 in k, 2\/13, s?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-20)\/2 - (-14 - 66) is divided by 44?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -0.4 (c) 16 (d) -1.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236*t + 37230 - 183936 = -3230*t for t.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 + 3028855153*o - 3028855153*o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -5 - (-2693 + 35\/7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 9. Let j be -2 + m + (2 - -1). Factor -6*q + 6*q**2 + 2 + 0*q**3 + 2*q**3 - j*q**3 - 2*q**3.\nAnswer: -2*(q - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -139b045 (base 13) to base 14.\nAnswer: -b7d69b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14480 not equal to 14483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 + (-2745)\/(-105))*7?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from {b: 2, g: 1, f: 2, v: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t - 10. Let o be c(-4). Suppose 4*m**o + 6*m + 2*m**3 + m**5 + 4*m**4 - 2*m - 5*m**3 - 6*m**4 = 0. Calculate m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -819 - -c?\nAnswer: -80d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2)\/(-3) - (-834)\/18 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 6*f - 16. Solve 3*d + 0*n = -n - 12, -f*d + 2*n - 6 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i + 20*i**3 - 37*i**3 - 5*i - 5 + 7*i to s*i**2 + o*i**3 + j*i + a and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42 - -1563?\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -79*l*n**2 + 1091*l*n - 5389513*l - n**2 - 2*n wrt n?\nAnswer: -158*l*n + 1091*l - 2*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 0 - -3) + -9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**2 - 188805*s + 235487178 = 0. What is s?\nAnswer: 1273, 61662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 divided by -40?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k + 29*k - 3*k - 3*k**2.\nAnswer: -3*k**2 + 33*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10570)\/(-180) - 2\/9. Let o = 57 - q. Suppose 9 = w - 3*d, -3*d - 7 - 2 = 0. What is the closest to 0 in w, 1\/8, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 229, 460, 691?\n\"Answer: 231*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-332)\/(-249) + (-8)\/6 + 2. Solve -4*z - j = -2*a, -3*z = -16*a + 12*a + 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2194399552 - -0.3?\nAnswer: -2194399551.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/(-52))\/((-5)\/4).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - g + 2. Let f be j(-2). Let t = -55\/357 + 2\/21. Is f at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 1383.1\nAnswer: -276.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4675236515 to the power of 1\/2, to the nearest integer?\nAnswer: 68376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**3 + 9*y**2 + 10*y + 5. Let p be z(-3). Suppose -5*m + 5*j + 375 = 0, p*m + 6*j - 160 = 3*j. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -19\/4, 2\/711, 3 in descending order.\nAnswer: 3, 0.08, 2\/711, -19\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1180\/140 + -9 - (-20)\/(-14))\/54.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67.28 - 0.335195?\nAnswer: -67.615195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 4*l - 16, 5*l - 2*l = 4*w - 12. Find the second derivative of w*p**5 - 2*p - 6*p**5 + 0*p - 2*p wrt p.\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2 - 25*v + 3. Let n be g(0). Suppose -6*o = -2*o - 8, 1 = n*d - 4*o. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/317 - -1285\/5389. Which is greater: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 (base 12) to base 15\nAnswer: -5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76939 is divided by 146.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-1 + 8) - -4) + (218 - 222)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 11) to base 2\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -392, -1411, -5250, -13319, -27028, -47787, -77006?\n\"Answer: -235*y**3 + 626*y - 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.986 - 9. What is a rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/10 (b) 2\/9 (c) 1\/2 (d) -529 (e) 4 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 2, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 2*h**2 + 0 + 0*h**3 - 1\/6*h**4 + 0*h. Let v(g) = -1 - 4 - g**2 + 5. What is p(v(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 5, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -76*b + 1501 - 1501 - 1041*b in the form n + y*b and give y.\nAnswer: -1117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4. Let r = 1 + x. Suppose 11 = -2*h + r. Sort h, -4, 1 in decreasing order.\nAnswer: 1, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/42 - 129\/(-21). Let u(g) = 2*g - 11. Let v be u(i). Suppose 0*j + j - 3*l + 5 = 0, l = 5*j - 45. What is the highest common divisor of j and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -225*k. Let m be h(0). Solve 2*n - 2 = m, -3*l + 23*n + 4 = 24*n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 + 2*z. Let j(d) = 5*d**2 - 3*d. Suppose 35*q = 1598 - 1703. What is q*j(n) - 7*t(n)?\nAnswer: 6*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**5\/20 - 5*n**4\/4 + 4*n**3 + 15*n**2 - 22*n + 2. Let p be t(13). Do 5 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -597863, -1195694, -1793525, -2391356?\nAnswer: -2989187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -29. Let u be (-6)\/9*(-27)\/g. Let k(o) = -o + 1. Let l be k(u). Solve -3*d + l = -v + 1, -2*v - 3*d + 3 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4 = -2*o, d - 3*o + 27 = 3*d. Suppose -3*y - d = -5*y. Let z(f) = -y*f + 3*f + 4*f**2. Let n(s) = -s. What is z(n(m))?\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3 + (-1 + -2*sqrt(68))**2 - (-1*sqrt(119)*3 - sqrt(119))\/(sqrt(7) + sqrt(56)\/(sqrt(8)*2))).\nAnswer: 64*sqrt(17) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420 divided by 4?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from {n: 7, m: 5}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 9 = -5*j, 5*j + 3*u + 2*u = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 190\/25 + (-3)\/1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmmrbrmmmmmmmr. Give prob of picking 1 r and 1 m.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -99471611 + 99471624.2000258. Let c = b + -13.2. Round c to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -417, -467, -577, -777, -1097, -1567?\n\"Answer: -5*s**3 - 15*s - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270618 and 1343338.\nAnswer: 149110518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 2.8, 0.116?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-11\/3)*c\/(((c\/(c\/(c*((c**(-1\/36)*c*c)\/c)\/c)*c))\/c*c)\/c))**4 assuming c is positive.\nAnswer: c**(-59\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31116489?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3792 + -3753. Which is the nearest to 1? (a) -1\/6 (b) -90 (c) 0 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*p - 7 = -19, -4 = -5*j + 3*p. Let b be 2*5\/4*j. Suppose -173*g = -116*g + 220*g - 831. Solve 12 = 3*y, b*o = -3*y + g + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*y = 10*y - 300. Which is the nearest to 3\/7? (a) y (b) 5 (c) 0.5 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.184 and -6.\nAnswer: 1.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 8. Suppose 3*t = 6, 2*u - 5*t = -2*u + 30. Let s be m(u). Suppose -s*j - 60 = -6*j. Solve -5*i = -z + 27, -2*i + j = -5*z - 7*i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4062100187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (94\/10 + -9)\/((-16)\/10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3845884.225 and -82.89.\nAnswer: -3845967.115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*z + z - 110*z)*(4*z - 3*z - 2*z) - z**2 - 5*z**2 - 6*z**2.\nAnswer: 112*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 3*v - 9. Suppose 0*y = 4*y - 4. Suppose 5*k - 3*d = -20, -2*d + y - 4 = -k. List the prime factors of x(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**2\/2 + 34*o + 63. What is the tens digit of u(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/9)\/g*g*(g*g\/(g*g**6))\/g)\/((g**(-2\/7)*g)\/g)**33)\/(g**(-2\/7)*g*(g*(g\/g**(-2\/9))\/g)\/g*g)**(-33) assuming g is positive.\nAnswer: g**(608\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -10*r**2 + 34*r + 316. Let v be g(1). Let l(j) = j**3 - 14*j**2 - 1. Calculate l(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 40*x**5 + 255*x**4 + 130*x**3 - 945*x**2 + 280*x + 240 = 0.\nAnswer: -4, -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 12242.95 to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17130 + 17129.99979838. What is c rounded to six dps?\nAnswer: -0.000202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -126 + 126.00008124. What is t rounded to six decimal places?\nAnswer: 0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*g**2 + 0*g**2 + g**2 + (-5*g + 3 - 3)*(2*g - 4*g + 4*g) to the form d*g**2 + k + o*g and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03051 and 0.21.\nAnswer: 0.0064071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -5. Let g be 4\/10 + 68\/(-20). Sort a, g, 1 in increasing order.\nAnswer: g, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247142?\nAnswer: 2, 7, 127, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 96827 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + y**3 + (-4 + 4 - y)*(0 - 2*y**2 + 0) + 4*y**3 - 2*y**3 - y**3 - 86*y**3 + 16 + 21*y**3 + 47*y**3.\nAnswer: -14*y**3 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7970, 7981, 7992?\nAnswer: 8003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-2254)\/(-882))\/((-1)\/(-3))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -134 + 225. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 4*o**4 - 280*o**3 - 182972*o**2 + 20247312*o = 0?\nAnswer: -228, 0, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 12*l**2. Let r(g) = -780*g. Calculate r(h(t)).\nAnswer: -9360*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 30450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117473005 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 295*q - q**2 + 2*q**2 + 3*q**2.\nAnswer: 4*q**2 + 295*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -4 - (-5 - -9) - 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. Suppose -r*y + 20 = 3*y. Find the second derivative of -z**4 - 2*z + 2*z**4 - 3*z**y wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*x + 71 = 0, -166 + 4 = 11*k + 5*x. Let u be 38\/14 - 2\/(-7). Sort k, -7, u in decreasing order.\nAnswer: u, -7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (-13 - (7 - 13))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*(q*q\/(q**14\/q)*q*q*q)\/q*q)*q))\/(q**(-1\/8)\/q)*(((q\/(q*(q\/(q\/((q\/q**(-2))\/q)))\/q))\/q*q)\/q)**(2\/101) assuming q is positive.\nAnswer: q**(-5587\/808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.15 + 0.05. Let w = 1.2 - -0.8. What is the closest to d in -1\/4, 1\/9, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-40) - ((-21)\/(-8) + -2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 0*u**4 + 0*u**5 + 0 - 24*u + 1\/6*u**6 + 2\/3*u**3 + 27*u**2. Find the first derivative of d(s) wrt s.\nAnswer: 20*s**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 + 20*q + 83. Let f be v(13). Suppose 21 - 9 = 3*x - 3*o, f = 2*x + o. Solve 2*l + 12 - 1 = -x*n, n - 4*l + 13 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -9*g**2 - 5*g + 5. Let o be (-1*2)\/(4\/16). Let t(i) = -14*i**2 - 8*i + 8. Let j(k) = o*f(k) + 5*t(k). Let r(d) = d. Calculate j(r(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.119, -671, 0.5, -2?\nAnswer: 0.119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2 - 4*w + 3. Let z be h(1). Find the common denominator of (-909)\/(-12)*(z - (-190)\/(-45)) and (410\/15)\/(12\/(-2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d**2*z**2 - 183*d**2*z - 2*d**2 - 4*d*z + z**2 + 518*z wrt d?\nAnswer: 4*d*z**2 - 366*d*z - 4*d - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/396 and 73\/63?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8955 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -240 (b) -7 (c) 1\/95 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2668769.2 rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 27*q - 20. Suppose 3*g - 2*g = -26. Let y be s(g). Calculate the greatest common factor of y and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 104*a**3\/3 + 6*a**2 - 175*a. What is the tens digit of l(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 4*v - 3*v + v + 0*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x**2 - 5*x - 6. Let g = -210 - -215. Let w(j) = -3*j**2 + 2*j + 3. Give g*w(h) + 2*i(h).\nAnswer: -h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 14*t + 17. Let v(g) = -5*g - 6. Let b(z) = -4*p(z) - 11*v(z). Suppose 33 = 4*w + 93. Let k be (-88)\/w - (-10)\/75. Calculate b(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 4 = -3*v. Let j = -157 - -788\/5. Which is the smallest value? (a) v (b) 3\/8 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1244*l**2 - 425*l**2 + 486*l**2 + 2*l**3)*(-3 - 3 + 5).\nAnswer: -2*l**3 - 1305*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 10 = -30 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(223\/3345)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**2 + 194*q - 1309. Let u be k(57). Factor 2\/15*j**3 + 0*j - 14\/15*j**u + 0.\nAnswer: 2*j**2*(j - 7)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2269140, 4538237, 6807334?\n\"Answer: 2269097*k + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from etfefftgtttgfttk. What is prob of picking 1 g and 1 k?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 e when two letters picked without replacement from vhyveehyehhx.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 38, 4, 1 in increasing order.\nAnswer: -5, 1, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u + 10. Let g be h(9). Calculate the highest common divisor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 1051?\nAnswer: 7\/1051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5\/(j\/(j\/((j\/(j*j**0))\/j)*j))*j\/j**(-1)*j\/j**(3\/8))\/(j**3\/((j*((j*j\/(j**(-2\/7)\/j)*j)\/j)\/j)\/j)*(j**(1\/3))**(-16)) assuming j is positive.\nAnswer: j**(2393\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 + m**3 - 5*m - 1017383*m**2 + 5*m.\nAnswer: m**3 - 1017383*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**3 + 14*o**3 + 0*o**3)*(-1 + 1 + 2*o**2) - 4871*o**2 + 71*o**5 + 4871*o**2.\nAnswer: 105*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -232*l + 2072. Does 103 divide z(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*g**2*t - 12*g**2 + 45*g*t + 150*g + 5872910*t wrt g?\nAnswer: -16*g*t - 24*g + 45*t + 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**2 - 5 + 5 - 5*n**3 + 11*n**3.\nAnswer: 6*n**3 - 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410236*q = -409154*q - 82232 for q.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f**2 + 3*f + 12. Let s(r) be the third derivative of -7*r**5\/60 + r**4\/8 + 11*r**3\/6 - 13*r**2 + 130. What is -6*s(n) + 5*z(n)?\nAnswer: 2*n**2 - 3*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 17*t**2. Let u(y) = -12*y - 1. Give x(u(q)).\nAnswer: 2448*q**2 + 408*q + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 209*b**2 - 49*b + 11. Is z(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 2 - 0) + 0. Let n(a) be the second derivative of 19*a**4\/4 - a**3\/3 + a**2\/2 - 131*a - 1. What are the prime factors of n(y)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57253687?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**3 - 4*o**3 + 5*o**3 + (4*o - 2 - 5*o + 3*o)*(-o**2 - 6*o + 6*o).\nAnswer: -o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 87293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/26288 and 51\/3286?\nAnswer: 26288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -5, -3, 3\/32, 2?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 650758 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -5*o - 3*q + 1, 6 = 4*o - 5*q. Let u = 0.3 + -0.2. What is the biggest value in u, 2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101000120 (base 3) in base 7?\nAnswer: -505560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16+-0.1999\nAnswer: 15.8001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2808 + -2810. Let h(p) = -p**3 - 6*p**2 - 5*p + 3. Let o be h(-4). Let k = o - -13. Which is the smallest value? (a) 0 (b) u (c) k (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfmtfstsm. What is prob of sequence stff?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 597*b*h**2 - 3737*b + 2*h**2 + 10929 wrt b?\nAnswer: 597*h**2 - 3737","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3) + (-2980)\/12. Let h be -1 + 3 - (-4522)\/(-18). Let f = i - h. Which is smaller: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56292361*b**2*t + 406759371*t wrt b.\nAnswer: 112584722*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71017850 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55805866?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1980 + -4713\/2. Which is smaller: m or -378?\nAnswer: -378","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288506 is divided by 471.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*-3*(sqrt(2000) + (sqrt(2000) - (2 + sqrt(2000))) + 0).\nAnswer: -180*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((-4)\/(-4) + 1). Sort -0.3, j, 6.\nAnswer: -0.3, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-1)\/(-6) - 21413\/(-138). Let q = 148 - d. Sort -3, q, 4 in ascending order.\nAnswer: q, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-91 + (2 - 0) + -21 + 21 - 9) + 11\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 7. Let x be i(-3). Let l(w) = 5*w - 3. Let c(f) = 6*f - 4. Let h(q) = x*l(q) - 3*c(q). Determine h(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(98)*-3 + 5)**2.\nAnswer: 210*sqrt(2) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5+-70128\nAnswer: -70133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 12*y + 1. Let r(c) = c - 1. What is -3*q(w) - 3*r(w)?\nAnswer: -39*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1070 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dfa when three letters picked without replacement from ddftgdgdgtbdadb?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34942330 = 132*m - 34953418 for m.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21599 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 + 16. Let h = -31 - -30. List the prime factors of (h + -2 + v)\/(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.30475353?\nAnswer: -0.060950706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4723, 4717, 4697, 4657, 4591, 4493, 4357, 4177?\nAnswer: 3947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 14113666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08313 - 0.601.\nAnswer: -0.51787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (252*l - 252*l - 16*l**2)*(75*l - 7*l**2 - 151*l + 81*l) to the form y*l**4 + j + u*l + r*l**3 + g*l**2 and give r.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3823484?\nAnswer: 2, 7, 19, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-9 - (-3 + 2)). Let o = k - 8. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p. Let y(z) = 2*z + 18. Determine y(c(a)).\nAnswer: -6*a + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 77\/(-5) + 6\/15. Let g be (b\/(-6))\/((-2)\/(-4)). Suppose c + 10 = 4*d, -g*d + d - 4*c = 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 2*h - 3*h = 0, 4*i = 2*h + 14. Let m = -30 + 47. Let q = m + -9. Calculate the highest common divisor of q and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**5\/7 + x**4 + 70514*x**3\/7 - 7468670*x**2\/7 + 14725775*x\/7 - 7327625\/7 = 0?\nAnswer: -305, 1, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -11001752*y. Let h(m) = -2*m. Determine g(h(o)).\nAnswer: 22003504*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/304*36\/198.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(-210*b**4 - 45*b**4 + 26*b**4 + (0*b**4 + 0*b**4 - b**4)*(4 - 1 - 2)).\nAnswer: -460*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 2:03 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*m = 263*m + 269*m + 178028 - 8448 for m.\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3259073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 1, -2\/15, 4\/9, -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1257 + -938. What is the highest common factor of a and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/218480 and -81\/98860.\nAnswer: 1079946640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 + 62*a - 58*a)*(2*a + 2*a - 2*a) in the form x*a + n*a**2 + w and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 32 = v, -2*t = -3*v + 6*v - 52. Let u(w) = -5*w + 115. Calculate the lowest common multiple of u(v) and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p**2 - 3*p + 3. Let r be h(3). Let f = -17 + r. Let m(y) be the second derivative of y**5\/20 - y**4\/4 - 5*y**3\/6 - 3*y**2\/2 - 2*y. Calculate m(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -493.386 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46.97 + 45. What is y rounded to 1 decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*j + 905 - 80*j - 36*j - 903 - 125*j.\nAnswer: -194*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 9, t: 7}. What is prob of picking 3 c?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 - -1. Suppose -2*k + 9 + 31 = q, q + 4*k = u. Suppose -m - q = -4*m. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65484768 a multiple of 998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -17777*u**3\/3 - 5*u**2\/2 + 2*u - 111. Suppose 0 = -3*h + 2*h + 6. Let r be b(h). Round r to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2282.06 to the nearest ten.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-55)\/30 - (-2)\/(-12) - -33 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-25)*15\/(-2). Let c = 4 + -2. Let x(v) = 0*v**2 + 3*v**c - f*v**2 + v**2. Let h(l) = 3*l**2. Determine x(h(z)).\nAnswer: -18*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -2\/23 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3653 + 612 = 279*i + 917. Which is the closest to -18? (a) -3\/8 (b) -0.5 (c) -1.2 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15756 = 408209*q - 408053*q for q.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4862 + 9730 - 89*i - 4862 - 4*i + 3*i + 3*i + (i - 3*i + i)*(1 + 3 - 3) - i - 3*i + 0*i.\nAnswer: -92*i + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-10) - 20189\/(-65). List the prime factors of (-1 + d\/(-6))\/(82\/(-1353)).\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 32 = -0*v - 2*v, -5*v + 2*g = -20. Solve 0*i - v = -3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 5*w = 16. Solve -3*j + 5 = -w*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34833.23 * 0.07\nAnswer: -2438.3261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -436, 99 in descending order.\nAnswer: 99, 1, -436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23078*z - 35 - 16 - 1 - z**2.\nAnswer: -z**2 + 23078*z - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1624781 to the power of 1\/2, to the nearest integer?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 not equal to 582.165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2351.245ms?\nAnswer: 2351245000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*d + 2 = 0, -x - 2*d = -0*d + 8. Let h be 3*(6 + x)\/2. Suppose h*s = -1 + 7. Solve b - s = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59582 divided by 29791.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -24. Let r be (-4)\/(1 - j) - -1. Solve 2*y + 4*s = 22, -r*y = 6*s - s - 35 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m = -8*m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59 - 23*k**2 + 57 - 113 to p + h*k**2 + r*k and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -3*r + 28. Let m be (-9 - -11)\/(r\/(-14)). Suppose 0 = m*x + 31 - 10. Is x greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 18. Let l be ((-9)\/(-6))\/((-1)\/(-2)). Solve -r + l*z - i = -24, 3*r = z + 8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/2 + 19*l**3\/2 + 9*l**2.\nAnswer: l**2*(l + 1)*(l + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -3. Let g(c) = 3*c**2 - c + 8. Let b(f) = 2*f**2 - f + 8. Let h(n) = 4*b(n) - 3*g(n). What is the units digit of h(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 9*w - 8. Let d be m(-10). Suppose -2*q = 2, 12 = d*f - 5*q - 13. What is the remainder when 4\/(-6) + 143\/3 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d - 7*d)*(-5 + 1 + 3)*(-1338*d**4 - 241*d**2 + 241*d**2).\nAnswer: -6690*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -458 and 3.\nAnswer: -455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from tytxettttxttttxent.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -110 + 108.93. Let l = 0.23 - 0.3. Let g = l - u. Which is the nearest to g? (a) -0.4 (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-10))\/((-6)\/75). Suppose 2*q + 3*n - 29 - 3 = 0, -5*n + c = 0. What is the remainder when 22 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 578? (a) -0.2 (b) -5 (c) -2 (d) 4 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -219 + 224. Let y(n) = 377*n + 4. What are the prime factors of y(r)?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/4))**(17\/3))**(2\/43)\/(h**3*h**(-6)*(h**(-2\/9)*h)\/(h**(-4\/5)\/h)) assuming h is positive.\nAnswer: h**(2399\/3870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 d when four letters picked without replacement from {f: 17, d: 3}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q + 17. Suppose -30*n + 34*n - 28 = 0. What is c(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/(-8) - (-488)\/(-48).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -21. Let w be (2 - 4) + (-4 - b). Is 56 + 9\/(-6)*w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 367208, 734424, 1101640, 1468856, 1836072?\nAnswer: 2203288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 6:36 AM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38 and 447238.\nAnswer: 8497522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 50997915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 8:28 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y**3 - 10*y**2 - 12*y**2 + 24*y**2 + 5*y**3 - 6*y**3 - 4*y - 3 as j*y**3 + b*y**2 + t*y + n and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-5))\/3*(-2945)\/(-1178)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/5 + 6834\/(-4). Let p = -1669 - m. Let v = -1057\/26 + p. What is the closest to 0 in 2\/7, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-61938)\/11470)\/((-27)\/(-120))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 870*k - 2 = 872*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-1\/2)*(q**(-37)\/q)\/q assuming q is positive.\nAnswer: q**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 14*c**2 + 9*c - 209. Let y(h) = -6*h**2 - 4*h + 105. Let o(r) = -4*v(r) - 9*y(r). Let a(m) = 2*m**2. Calculate o(a(q)).\nAnswer: -8*q**4 - 109","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8633042599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24665 is divided by 440?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -59*x - 12. Let n(v) = -18*v. Calculate o(n(m)).\nAnswer: 1062*m - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27691 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ssssssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*p = -288*p - 298*p + 13904 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511273?\nAnswer: 7, 73039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/4)\/((-1)\/2). Suppose 0 = -r*a - a + 20. Suppose 0 = -w + 2*w. Solve w*y = -a*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9970.909nm in millimeters?\nAnswer: 0.009970909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8847 - 8733. Calculate the highest common factor of t and 6042.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 2*r**2 + r. Let y be g(-3). Suppose 2 = y*t - 10. Solve -2*q - t*b - 3*b = 2, -2*b = 5*q + 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2508320249?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, 0.4, 0, -105, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264\/(-32)*3856\/1446.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 7*c**2 + 36*c + 15. Let g be u(-3). Let p be (1 - 0) + 4\/(-14). What is the third biggest value in p, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -4 + (-8 - 0 - -17) + -8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 c when two letters picked without replacement from ccwwcwcjwcw?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) + -2 - sqrt(304) - (1 + sqrt(931) - sqrt(931))) + 3*(sqrt(133)\/sqrt(112) - sqrt(19) - (1 + sqrt(76))))**2.\nAnswer: 99*sqrt(19) + 21267\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 700, 963, 1242, 1543, 1872?\n\"Answer: f**3 + 2*f**2 + 250*f + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 85*y. Let k(h) = 11*h. Let g(j) = j. Let t(i) = -6*g(i) + k(i). Let f(v) = 2*c(v) - 35*t(v). Let l(x) = 3*x**2. Calculate l(f(p)).\nAnswer: 75*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -125811*x**4 - 2*x**3 - 3*x - 1366908 wrt x.\nAnswer: -503244*x**3 - 6*x**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 1. Let c(k) = -2*k + 23. Determine c(a) - z(a).\nAnswer: -3*a + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (54 - 69)*((-6)\/12 + (-1)\/(-10)). Solve -4*g = -5*h - 21, -t*g + g + 23 = -3*h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 1011 = -3235. List the prime factors of n.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10795 is divided by 180?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p\/((p\/(p*p*p**(-2)))\/p)*p*p)\/p)\/p**(-8))**(2\/33)\/((p*p**0*p**(-1\/4))\/(((p**6\/p)\/p)\/(p\/(p\/p**6)))) assuming p is positive.\nAnswer: p**(-89\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 2*m - 3*m**2 + m to p + r*m**2 + y*m and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9\/11 + 139\/99. Which is bigger: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**4\/3 - 5*n**3\/6 + n**2 - n. Suppose -q = 8*q - 18. Let w(t) = -q*t**2 - 3 - 2*t + 2 + 2. What is 4*p(k) - 9*w(k)?\nAnswer: 2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1373 and 369036313.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 382281.003 to the nearest ten thousand.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, 3, 6, 22, 9, 2 in descending order.\nAnswer: 22, 9, 6, 3, 2, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/140 and -47\/427?\nAnswer: 8540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -25*z**2 + 1201*z - 51. Let r be s(48). Sort r, 19, 7, -2 in decreasing order.\nAnswer: 19, 7, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 7*r**2 + 724*r - 4361. Determine h(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*h + 7 = 0, 9*h - 7*h + 9 = 5*l. Let k be 6*l\/2 + -1. Solve -6 = -k*j + 2, -2*v + j = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3518 + 3585. Solve x = j + 70 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f - 110*f + 634 + 1326 = 0 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4511, 8819, 12921, 16817, 20507?\n\"Answer: -103*u**2 + 4617*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*f = -42*f + 44889 + 334483. What are the prime factors of f?\nAnswer: 7, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 333 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/((c**(-10)*c*c)\/c)*c)*c*c*c**0)\/(c**1\/(c**(4\/3)\/c)) assuming c is positive.\nAnswer: c**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (5265\/(-675) - -4*2) + ((-2187)\/585 - -3)\nAnswer: -7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*d + 4*o + 30 = 0, -5*d - 3*o = 5. Suppose -3*h + d*t - 7*t = -1063, -667 = -2*h + 5*t. Suppose m = h - 39. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 125*h - 11. List the prime factors of t(4).\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 9*b**3 + 20*b**2 - 4*b**3 - 7*b**3 + b**3 + 2*b**3 - 14 - b. Give r(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1932 and 210?\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.8447?\nAnswer: -0.16894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2))**(-9)\/(m*m**0*m)**19 assuming m is positive.\nAnswer: m**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -392415\/2747514583 - -2\/377873. Let d = -530773\/72710 + t. Calculate the common denominator of d and 77\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 586 from 4163050.\nAnswer: 4162464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8728\/11 + 794. Let o(k) = -k - 4. Let j be o(-6). Suppose 1 = -w - j. Which is the nearest to 2\/3? (a) 0 (b) n (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 25318 - 46922. Is 29 a factor of (-8)\/6*p\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -151.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 6, u: 3, k: 8}. What is prob of picking 1 x and 1 u?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -4 - (38 - 38) - -36?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16 + 535984?\nAnswer: 536000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -41a5 (base 11) in base 5?\nAnswer: -134220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2415)\/(-60)*(-1752)\/1022\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v**3 + 0*v)*(-23*v**2 - 5 + 48 + 128*v**2 + 25 + 27).\nAnswer: -210*v**5 - 190*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 4*n**3 + 5*n**2 + 3 + 6 to the form c + v*n + k*n**3 + w*n**2 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**4\/24 + 19*o**3\/3 + 5*o**2 + 137*o. Let s(p) = 13*p. Determine s(z(c)).\nAnswer: 13*c + 494","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fjfffffjfffjfffjfffj. Give prob of sequence fjj.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2721 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 6*s + 4. Let a be t(6). Let y(v) = 32*v + 5. Let p be y(6). Suppose -3*l - a*n + 1925 = 0, -l = n - 443 - p. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11.008 + 11. Round x to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*a + 0 + 9*a - 1)*(-2 + 2*a + 3*a - 7*a) to the form h*a + n + l*a**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30878, 30314, 29762, 29228, 28718, 28238, 27794, 27392?\n\"Answer: f**3 - 571*f + 31448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.33 rounded to zero dps?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 578998850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 93\/5 - 269\/15. What is the nearest to w in 1, -5, -0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 7) to base 16\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1733\/396 + -53\/12. Find the common denominator of -52\/33 and o.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -2*n**2 - 5 + 5*n**2 - n**2. Let h(x) = -x**2. Let u(m) = 2*m**2. Let j(d) = 5*h(d) + 2*u(d). Determine j(g(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 1376607*d**3 + 8259618*d**2 - 16519220*d + 11012808.\nAnswer: (d - 1376601)*(d - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 9:32 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -209 - -213. Let l be (-5)\/1*v\/(-4) + -13. Let o(c) = c**3 + 8*c**2 - 1. Give o(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 7*l + 18. Let f be (288\/(-56) + 5)\/((-2)\/l). What is the biggest value in -2\/5, f, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 577 = -30*g + 7*g - 389. Which is the smallest value? (a) -0.074 (b) 1\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*m**4 + 240*m**3 + m**2 - 223*m?\nAnswer: -120*m + 1440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 729\/2 + 3\/4*f**3 - 297\/4*f - 18*f**2.\nAnswer: 3*(f - 27)*(f - 3)*(f + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 27*k**2 - k. Let p be (-232 + -3)*(-36)\/(-90). Let j = p + 95. Give q(j).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-15)*(-135)\/(-6). Let u = 12914\/3 - 4341. Let p = f - u. Which is the closest to 2? (a) 0 (b) p (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -74, -132, -214, -326?\nAnswer: -474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdqdqd. Give prob of picking 2 q and 1 d.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3788, -6959, -12238, -19619, -29096, -40663?\n\"Answer: d**3 - 1060*d**2 + 2*d - 2731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 8*m - 9. Let t be u(9). Let w = 10 + -7. Let n = 2 - w. What is the closest to n in 3, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28 + -31 + 17 + 0. Let h(r) = 4*r - 45. Determine h(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/2839?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3)*y**(-3)*y)**(21\/8) assuming y is positive.\nAnswer: y**(-35\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u. Let d(m) = -2*m - 16813691. Calculate d(p(b)).\nAnswer: 4*b - 16813691","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 21*z + 3 - 22*z + 4. Let a(c) = c**2 - c + 3. Let n be a(6). Suppose -35*t + n*t - 14 = 0. Give q(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 80, 107, 158, 239, 356, 515?\n\"Answer: j**3 + 6*j**2 + 2*j + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2132542 rounded to three dps?\nAnswer: -0.213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -3, -4, -64, -2, -56 in descending order.\nAnswer: 0, -2, -3, -4, -5, -56, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and 3718.\nAnswer: 148.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -0.5, -75, 26, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 34. Suppose -m - p = m. Let s(g) = -5*g**2 - 20*g - 26. Let j(a) = 2*a**2 + 7*a + 9. Let l(n) = m*j(n) - 3*s(n). Give l(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-310)\/50 - (-4)\/(-120).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192307?\nAnswer: 192307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*r - r + 18, -3*r + 24 = 5*c. Suppose 4*i + 2*d - 116 = 0, -4*d - 76 = -r*i - 0*i. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1387.17 weeks?\nAnswer: 838960416000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11558*k = 12045*k - 28733 for k.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 4 = -t, x + 0*t + 8 = 3*t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 24, -136 in ascending order.\nAnswer: -136, 6, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/6)\/((-3)\/(-9)). Suppose -337 = -5*v - 4*x + 18, y*v + 2*x = 142. Is v 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 1139457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 70*q - 71*q - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16481, -32971, -49461, -65951?\nAnswer: -82441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4637 + -4321. Solve q - v = -322 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (1 - 3 - -7). Let s = 7.967 + 0.033. Which is the third smallest value? (a) s (b) -1\/9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, v: 1, y: 1, f: 1, m: 7, g: 4}. What is prob of picking 1 y and 1 w?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1009 - -1008. What is the second smallest value in 2\/19, g, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*q + 18 = -101 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 11, 0.3, 0.4, 2901, 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(2\/7)\/b*(b**22\/b)\/b assuming b is positive.\nAnswer: b**(142\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbjj when four letters picked without replacement from fhfhpwhbpffpffjjjwhp?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -5*(-5*(sqrt(28)*1 + sqrt(28)))\/sqrt(4))*-2)**2.\nAnswer: -400*sqrt(7) + 70004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 55683.73774 and 0.04636?\nAnswer: 55683.69138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 4*n = -44, -4*n - 12 = 8. Let x = -6 - o. Let l(h) = 0*h**x - 6*h**2 + 3*h**2. Let z(g) = -g. Calculate z(l(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-12 + 6)) + (-1 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -78 (b) 1\/5 (c) 3 (d) 6 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2668327?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, -509, 1\/12, 1\/2 in decreasing order.\nAnswer: 1\/2, 1\/12, -73, -509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 467a0c (base 13) to base 5\nAnswer: 412023434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13899?\nAnswer: 3, 41, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.5, -85\/6, -5 in ascending order.\nAnswer: -85\/6, -5, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/22547169 and 10\/479727?\nAnswer: 22547169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2152 - 792 = 0. Is 17 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/4*(38 + 1) and (30\/216)\/(12\/(-1044)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -34.7 and -3295621.\nAnswer: -3295655.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 128.089 + 4.911. Which is the second biggest value? (a) f (b) -1 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 164 + -96. Let l = s + -477\/7. Which is the second biggest value? (a) l (b) -3 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 9*k**2 - 4*k + 13. Let v be y(-9). Let w = 69 - v. Let x be (-200)\/(-125) - 2676\/(-15). What is the greatest common divisor of x and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - ((-60)\/(-68) - 12\/(-102)). Let t(r) = 0*r - 3*r + o*r - r + 3. Calculate t(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/12*(-9)\/42.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1654560 is divided by 677?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1174*n + 65*n = -11256 + 136395 for n.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 5*w + 7. Calculate f(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(209)*-2)\/(sqrt(11) + sqrt(11) + sqrt(11) + sqrt(176) + -3*sqrt(176)).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-67*h**2 + 48*h**3 + 67*h**2)*(4*h - 3*h - 6*h).\nAnswer: -240*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 - 3 + 3 + 20*r**2 + r - 4*r**3 - 20*r**2 + (2*r - 5 + 5)*(r**2 + r - r).\nAnswer: -3*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, p: 2}. What is prob of sequence pp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(-4 + 2 + 1)*(2*d + 7*d - 2*d).\nAnswer: -14*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22400 and 896.\nAnswer: 22400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -339099 + -6?\nAnswer: -3390a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -w + 6*w - 16, 3*t = -w + 6. Suppose -44 = -w*q - q. Calculate the remainder when q is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/229, -73, -6.2, -1\/8, 0.4, 3 in descending order.\nAnswer: 3, 0.4, 2\/229, -1\/8, -6.2, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -1)*(6 + -4). Let m be 81\/12 - 1 - 0. Let w = 29\/4 - m. Which is the nearest to -2\/5? (a) w (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/18 (b) 3 (c) 94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/14*455\/650\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 13*b - 94. Let p be y(-10). Let v = p - 232. What is the remainder when 80 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 27 - 10 = -2*v, 0 = 3*g + v - 8. Solve 4*x = -z + g*z + 10, -2*x = -4*z + 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -3*b**2. Let a = -49 - -54. Suppose 3*t = 4*x - 0*x - 11, 0 = -a*x - 2*t + 8. Let q(z) = -10*z**2 - 11*z**2 + 26*z**x. Calculate n(q(v)).\nAnswer: -75*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4, 4*j = v - 90 - 34. What is the greatest common divisor of 1715 and v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43664, -349488, -1179580, -2796074, -5461104, -9436804, -14985308?\nAnswer: -22368750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15170460 rounded to the nearest 100000?\nAnswer: 15200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llvgceffgvfvffeffvgf. What is prob of picking 1 l, 1 g, and 1 f?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2672784 divided by -2152\nAnswer: 1242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 6 = 3*k. Let d be (-2 - k)\/(3 - 5). Solve -i = -d*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1017405?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -306?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 123055 divided by 1\nAnswer: 123055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -705.2 + 705.4. Is 457 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 + 95*n**2 + 33*n - 33. Calculate the remainder when a(-47) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5*h = -15, -68*z - h = -70*z + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 + (-3)\/(-9). Suppose 3*j + 5 = 2. Let x = 6 + j. Sort -4, r, x.\nAnswer: -4, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1603644985?\nAnswer: 5, 23, 419, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1364947644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 - 5*m**4 + 2*m**4)*(-2 + 2 + 2) + 10*m**4 + 2*m**4 - m**4 - m**4 + 2*m**4 - 2*m**4.\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 9*r**2 - 21*r - 24. What is o(-9)?\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 9942000 to the nearest one hundred thousand.\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/8622 and -38\/1437.\nAnswer: 8622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002022000 (base 3) to base 8.\nAnswer: -120120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 173615381 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -1, -55, 4, -2 in decreasing order.\nAnswer: 4, -1, -2, -3, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1904?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/3 - 7628*u\/3 - 7630\/3.\nAnswer: 2*(u - 3815)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3944)\/440 - -17*(-2)\/935.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-94)\/(-12) - 3) + 3\/18. Solve 0 = -5*q - v + 8, -5*v - 18 = -x*q - v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 10:09 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60229\/8 - 7529. What is the second biggest value in m, -22.7, 0.1, -2, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 11*l + 11961. Let v be (-11)\/(-55) - l\/(-5). Suppose b = v - 104. What is the greatest common factor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 239*r + 245*r = 482*r - 22, 0 = u + 3*r + 3 - 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52761009?\nAnswer: 3, 7, 2512429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5199.16 - 5199. Which is the second smallest value? (a) -2 (b) h (c) 483\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168607\/(-7278) + ((-5)\/6)\/1?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195 = 7*h + 216 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, t: 1, q: 2, p: 5, r: 3, u: 1}. What is prob of sequence tu?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 + -0.1. Let m(i) = -i - 23. Let v be m(-20). Let k = 1.8 + -2.1. Put v, y, k in decreasing order.\nAnswer: y, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 34 = -14. Suppose -3*a + g + 9 = -0*a, -j = -5*a + 2*g. Suppose h - 10 = -a*m, 4*m - 6*m + 16 = 4*h. Solve h*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (1 + 1 + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 21. Let b(a) = 4*a - 63. Determine 2*b(y) + 7*g(y).\nAnswer: y + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + 2*c + 2*c + 7*c - 21*c + 39*c + (4 + 2 - 3)*(-c - 6*c + 3*c).\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 10 = m, 2*v = -3*m + m - 8. Let s(b) = -b. Let f(y) = 2*y - 2. Let c(x) = -f(x) - s(x). What is the remainder when 33 is divided by c(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 7, i: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 54106.96 to the nearest 100.\nAnswer: 54100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.6 - 1.7. Let y = n + -0.7. Which is greater: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((4*(sqrt(189)*1 + sqrt(189)) - sqrt(189)) + sqrt(189))\/(4*sqrt(36)))\/(-3*(4*sqrt(147)*-2 - sqrt(147))))**2.\nAnswer: 1\/5103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 6*f - 27 = 2*f, -2*f = 2*o - 12. Suppose 2*t - j = 11 - 2, -o*j = 4*t + 7. Calculate the lowest common multiple of 11 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6}. What is prob of sequence yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**2 - g**2 + 4*g**2 + (-g + 5 - 5)*(0*g - g + 3*g) + (43*g**2 - 74*g**2 + 41*g**2)*(-2 + 0 + 0).\nAnswer: -23*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ses when three letters picked without replacement from {s: 1, t: 1, e: 2, q: 2, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2833*k + 12831*k + 1178*k + 5141*k in the form r + h*k and give h.\nAnswer: 21983","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 2, -8.\nAnswer: -8, -7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 47, 75?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 161 and 35?\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 11 = 2*a, 2*g + 12 + 11 = 5*a. Suppose 0 = -a*q + 12 + 3. What is the third biggest value in q, 1\/6, 18?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -24610, -5, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 116789.\nAnswer: 58394.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.12, 4, -5, -174?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 - 102. Let y be (2 - -1) + (-11 - -9). Put f, y, 0, 4 in increasing order.\nAnswer: f, 0, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -9. Suppose 4*q = 12 - c. Differentiate 0 + 15*r**3 + 6 - 7*r**3 - 9*r**q with respect to r.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5994393 is divided by 2565?\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 994, 1933, 2790, 3535, 4138, 4569?\nAnswer: 4798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57534 is divided by 311.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3*u + 0*u + 97 = 0, 0 = 3*p - u - 149. Let y = 55 - p. Solve -y*c + 6 = t, 5*c - 5*t - 17 - 13 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10472112 is divided by 40123.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 948*b + 172 - 273 + 99 - 3*b - b + 5*b - b + 2*b + b + (4*b - 5*b + 2*b)*(5 - 3 + 0).\nAnswer: 953*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 3*u**2 - 9*u + 12. Suppose 0 = -4*a + 21 + 7. Suppose 11 + a = 3*p. What are the prime factors of b(p)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**3 + 5*n**3 - 6*n**2 - n**2 wrt n.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 2. Let z be t(2). Suppose 40 = 5*r - z*r. Let s = -4 + r. Solve -4 = -s*g - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 36. Let h = -0.3 - -1.3. Let v = 90\/133 - 2\/19. What is the nearest to 0 in v, h, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = -l + 4*c, -2810*c + 2795*c + 260 = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -6)\/(2\/3). Suppose 2*o - q = 3. Let l = o + 9. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u**2 + 558*u - 3431. Calculate l(6).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 285 + v**2 - 51*v + 30*v + 9*v to the form d + f*v + a*v**2 and give d.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -820828900 rounded to the nearest one million?\nAnswer: -821000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Let y(x) = 7 - 6*x**3 + 6*x**2 + j*x**2 + 5*x**3 + 6*x. Is y(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**2 - 82045704*h + 420718596553476 = 0.\nAnswer: 10255713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 144 - -1?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-7)*(-10 - 92\/(-12)). Let o = -1 - -1. Factor o - 1\/3*a**2 + d*a.\nAnswer: -a*(a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -50 + 81. What is the remainder when 43 is divided by l\/3 - (-4)\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2176)\/85)\/(-16)*(-70)\/8.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 2*l - 4*l)*(3*l - 3*l + l**3) + (-l - l**3 + l)*(-98*l + 70*l - 173*l).\nAnswer: 199*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1092649 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7. Let n(y) = -y - 8. Suppose 0*f = -c + 5*f + 20, -2*c + 7 = f. Let a(u) = c*k(u) - 4*n(u). What is a(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k + 7. Let r(d) = 7*d - 6. Give 5*h(j) + 6*r(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 7019154.8 to the nearest 100000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -5*o - 4. Suppose -3*y = 4*p - 1121, -o*y + 2*p + 746 = 4*p. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*b + 208 = 264*b. Calculate the remainder when b is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/(-6) + 3\/18. Suppose 15 = 2*c - y, 5*c + 2*y + f*y - 44 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.3 (c) 17 (d) 75\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 9*p**3 + 7242*p**2 - 6. Let j(o) = -11*o**3 - 7241*o**2 + 8. Let w(b) = 3*j(b) + 4*n(b). Solve w(a) = 0 for a.\nAnswer: -2415, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001011 (base 2) to base 13.\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 15*b**4 - 310*b**3 + 1685*b**2 - 990*b = 0.\nAnswer: 0, 2\/3, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (73 - 147)*(418\/(-4) + -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9114714?\nAnswer: 2, 3, 7, 24113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17294816 divided by -617672?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(162) - (sqrt(162) + -1*sqrt(162)))*6 + sqrt(162)*2*-6 - (sqrt(162) + (-5 + 1*sqrt(162) - sqrt(162)) + 0 + (sqrt(162) + 1 - sqrt(162)))))**2.\nAnswer: -12600*sqrt(2) + 198850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -193\/1386 and 125\/69846.\nAnswer: 2304918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a second in milliseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -40*o**2 - o. Let q(u) = -u**2 + 368 - 368. What is q(d(p))?\nAnswer: -1600*p**4 - 80*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021944 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**6*v)\/(v**(-2)\/v))\/(v**(-2\/7)\/v**(-1\/2))*(v**0\/(v**(1\/2)*v))\/(v*v**(-5)*v**(-2\/15)) assuming v is positive.\nAnswer: v**(1304\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 560*r + 194*r - 6034 = -2*p, -4*p = -3*r + 20 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4 - (11\/1 + -8).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2956171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/9? (a) 2\/11 (b) -2 (c) -0.5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4602 = -8*p - 4546 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6572287*i**2 + 968349534.\nAnswer: 13144574*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003688 rounded to seven decimal places?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -49*g**2 + 5*g + 5. Let p(y) = 2596*y**2 - 264*y - 264. Let u(q) = -2*q**3 - 11*q**2 + 26*q - 69. Let x be u(-9). Determine x*j(k) + 5*p(k).\nAnswer: 44*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o + 112 = -25*o. Calculate the remainder when o is divided by ((-21)\/(-35))\/((-3)\/(-45)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.75 and -0.075.\nAnswer: -0.05625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36250648, -36250653, -36250658, -36250663, -36250668, -36250673?\nAnswer: -36250678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(210)*1 + sqrt(210))\/sqrt(7)*-1)\/((4*sqrt(864)*2 + sqrt(864) + sqrt(864))*3).\nAnswer: -sqrt(5)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/((3\/(-3))\/(2*(-4)\/(-8))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -58, 0.22, -1\/4, 0.2, 2, 1.2?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooclcl. What is prob of picking 1 l and 1 o?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i**2 + 276*i + 346. Let d(x) = -x**2 - 40*x - 49. Let y(l) = 27*d(l) + 4*j(l). Determine y(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 9:59 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 126940797 divided by -3?\nAnswer: -42313599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(432))*-4 + (sqrt(432) - (sqrt(432) + (sqrt(432)*2*-2)**2)).\nAnswer: -6912 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 5*k - 64, 3*k = 5*t - 0*k + 236. Let h = -50 - t. Suppose 16*v - 11*v = 5. Sort h, 3, v, 5 in decreasing order.\nAnswer: 5, 3, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6930.089 and 5?\nAnswer: 34650.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -22a (base 12) to base 7\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -153 + 2?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 494 + -492. What is the nearest to 1\/3 in 1, o, -0.1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.18 + -0.26. Let g = a + 0.02. What is the third biggest value in -2\/5, 4, g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385\/30*(-10)\/(-2)*59\/(88795\/(-344))?\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**4 + 129*y**2 - 131*y**2 + 0*y + 4*y in the form u*y + m + j*y**4 + h*y**3 + k*y**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 15, s: 5}?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 4. Let x be g(1). Let a(s) = -s**3 - 3*s**2 + s + 9. Let h be a(x). Solve -2*t + h*t - 20 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 427.313067 to one decimal place.\nAnswer: 427.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6510702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0.163, 2, -3, 1.\nAnswer: -3, 0.163, 1, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6145, -6144, -6143, -6142, -6141?\nAnswer: -6140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 4*o**2 - o - 2. Let n be d(4). Let g = 17 - n. Calculate the remainder when g is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1586, 2755, 13026, 29227?\n\"Answer: 2965*b**2 - 4554*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151 is divided by 36?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 24. Suppose n*v = 2*v - 54. Let a = v - -202. Is 37 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72923654 divided by 4\nAnswer: -36461827\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -3 + 2 - (2 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2. Let g(a) = a + 1. Let v(j) = j + 5. Let s(o) = 4*g(o) - v(o). Determine n(s(m)).\nAnswer: -18*m**2 + 12*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 12 = -i, -5*i + 6*x - 12 = 4*x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/2 + 2)*(-56)\/252*45. Sort 21, 1, 2, 18, m in decreasing order.\nAnswer: 21, 18, m, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163 take away -3287?\nAnswer: 3124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b (base 13) to base 14\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2*l - 4 = -2*k + 5*l, 14*l - 32 = 3*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(2662)*-2 + sqrt(2662) - sqrt(2662)) + sqrt(2662))*1)\/((-4*sqrt(42)\/sqrt(3))\/((sqrt(21) - (sqrt(42)\/sqrt(2) - sqrt(21)))\/sqrt(3) + sqrt(7))).\nAnswer: 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 12 = 4*g, -52 = 4*f - 3*g. Let h be (3\/2)\/((-6)\/f). Suppose -4*y = -2*a + 12, 2*y + 3 = 3*a + y. What is the second biggest value in a, h, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 21293811 divided by -231\nAnswer: -92181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 229713 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m = -3*m - 957. Let d = -80 + m. Solve -d*o + 18 = -10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62570624+-6\nAnswer: 62570618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*r**4 - 7*r**4 + 11*r + 8*r**4 wrt r.\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2. Let k(q) = -2290*q**2. Give k(p(n)).\nAnswer: -36640*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 3 - 7)*(3*c - 2*c - 5*c) + (3 + 0 - 5)*(-1 - c + 1) + 2*c + 2*c - 3*c + 3*c - 2*c + 0*c to j + s*c and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at least as big as -25003\/1948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -842, -839, -834, -827, -818, -807?\nAnswer: -794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 117 - 62 + 101)*(-2*k**5 + k**5 + 2*k**5).\nAnswer: 138*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 3:44 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 - 6) + 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 236201 and 9799?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {p: 1, s: 3, q: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 13227*h. Let k(x) = 109*x. Calculate i(k(v)).\nAnswer: 1441743*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 56586.7.\nAnswer: 113173.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3602 + -3581. Solve 5*g - 5*u + 8*u - a = 0, -2*u + 19 = 5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111 (base 4) to base 6\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -748, -743, -736, -727, -716, -703?\n\"Answer: m**2 + 2*m - 751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43916.946 - -43873. Let w = 0.054 - f. Let d = w + -43.9943. Round d to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 8*c - 402. What are the prime factors of k(43)?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 19398*i**2 + 77618*i - 58218.\nAnswer: -2*(i - 3)*(i - 1)*(i + 9703)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 17*z + 307. Let b be o(0). Suppose -b*r + 426 = -301*r. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-3) + (-25)\/(-15). Suppose -i - f = m + m, 0 = 3*i + 3*m. Let o = 1 + 2. Put 0, i, o in increasing order.\nAnswer: 0, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/5364 and -41\/34.\nAnswer: 91188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 3 + 3)*(-2*a + 0 + 0) + a - 2*a + 2*a - 3*a + a + a)*(2 - 1 + 0)*(-2*a + 6 - 6)*(-69*a**3 + 103*a**3 - 31*a**3 + 96*a).\nAnswer: 12*a**5 + 384*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + -1)*1 + ((-1*sqrt(77))\/sqrt(11)*-3)**2.\nAnswer: 3*sqrt(7) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, j: 1, d: 1, r: 1, e: 14, y: 1}. What is prob of picking 1 j and 1 y?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -429621, 4 in descending order.\nAnswer: 4, -3, -4, -429621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -3*w**2 - w + 86738. Let i(h) = 3*h. Determine i(c(x)).\nAnswer: -9*x**2 - 3*x + 260214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19 and 523279.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 162 = 4*u, -392*f - 205 = -5*u - 387*f for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u**5\/8 + 1669359*u**4\/4 + 38705131764*u**3 + 25803235692*u**2 = 0 for u.\nAnswer: -185484, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10950663*r**5 + r**3 + 5270937*r**2?\nAnswer: 657039780*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -16, 10, 74, 188, 364, 614?\nAnswer: 950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272702836 divided by -32242.\nAnswer: 8458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -12 - 2 - (4 - 4)) + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 2*u - 19, -4*w - 40 = -34*u + 30*u - 52 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (4 - 8) + 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.43930412.\nAnswer: 0.175721648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -3*g**2 - 81*g + 84. Let n be r(-28). Which is smaller: -2\/3181 or n?\nAnswer: -2\/3181","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 369 = 383, -3*q - 3*n = 18. Let s be (7\/3)\/(1\/(-3)). Let r be -2*(14\/24)\/s. Which is smaller: r or q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 8*z**2 + 2*z - 7. Let b be p(-8). Is -23 != b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1439523?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 2188.028 to the nearest ten.\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 50\/(-15) + 4\/(-6). Let z be (-7)\/p - 5\/(-20). Suppose 123 = 3*f + 3*o, -5*f + z*o + o + 165 = 0. Is f a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/15 - (-288)\/40. Find the third derivative of p*q**3 + q**4 + 11*q**3 - 2*q**2 + 6*q**2 - 2*q wrt q.\nAnswer: 24*q + 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 12. Let j be s(-5). Suppose 3 - 124 = -11*a. What is the third derivative of -6*r**2 + 0*r**5 + r**5 + a*r**2 - j*r**2 wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 112 - 89. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(108) + 0 + 5 + (sqrt(108) + sqrt(108) + 2 - sqrt(108)) + 1*(4 + sqrt(108) + 3))**2.\nAnswer: 504*sqrt(3) + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -143*d + 135*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 132124 or 132395?\nAnswer: 132395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6585*r + 4. Let a(q) = 2*q. Determine l(a(d)).\nAnswer: 13170*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*k + 10*k - 3*k)*(73*k + 49 - 49)*(-k**3 - 3*k**3 + 6*k**3 + (-5 + k**2 + 5)*(1 - 1 - k)).\nAnswer: -803*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 78*v - 287. Let o be j(74). Solve 33*c - o = 24 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/(-6))\/((-4984)\/(-7476)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 3964.\nAnswer: 3964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-2747.2.\nAnswer: 2747.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.97 + 0.03. Let z = 3 - l. Let f be 0 + 0 - (-8)\/14. Which is the nearest to 0? (a) -5 (b) z (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 2*t - 2. Suppose -3*j + 4 = -3*o + 1, 0 = o + j - 7. Let r be b(o). Is 4 a factor of -3 + 9 - (2 - r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000750635 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/sqrt(20) + (sqrt(65)\/(sqrt(5)*2) - sqrt(13)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -491 - -3?\nAnswer: -48a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9844 is divided by 4918.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18021617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t\/((t**(-1)\/t)\/t)*t)*t)**(2\/81))**(12\/11) assuming t is positive.\nAnswer: t**(-32\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13381240?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**5\/30 + q**4\/4 + 11923*q**2 + 2*q. Let m(f) be the third derivative of -f**4\/8 - f**2. Determine m(o(p)).\nAnswer: -6*p**2 - 18*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3201 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 13234705.\nAnswer: -13234707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 b, and 1 g when three letters picked without replacement from gbtgb.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2557934 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(2\/7))**(-34)*(f**(7\/5)*f)\/f**1)\/(f\/f**(-2\/21)*(f**6\/f)\/f)**(31\/5) assuming f is positive.\nAnswer: f**(-1858\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -165.14, 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112413 + 35143?\nAnswer: -33230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 247220918 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 385 - 382. Solve -t = 9*a - 8*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332287169 at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*j + 570 = 0. Calculate the greatest common factor of j and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 10:45 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2254 + -3373. Let j = -1102 - i. Calculate the remainder when ((-158)\/(-4))\/((-1)\/(-2)) is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 77, -105, -462, -1.\nAnswer: -462, -105, -15, -1, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52200 by -2175.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 4*q - 2256, -30*x + 26*x = 3*q - 1720. List the prime factors of q.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 s, and 1 g when three letters picked without replacement from gdoddsgkldddodddod.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (372\/1)\/4*-1. Let u = -42 - z. Round u to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*h - 1518 = -58*h for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 13*t**5\/20 - t**4\/12 + 9*t. Suppose 4*c = -l + 2, 5*l = 4*c - 5*c - 9. Give r(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -115779.\nAnswer: -5\/115779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 + -1.7. What is the second smallest value in 0.6, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -650 - -0.12.\nAnswer: -649.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*p**4 - 2*p + p**4 - 4*p**3 + p**3 + 5*p**4 in the form n + s*p**3 + g*p**2 + t*p**4 + o*p and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 - 21. Let k(d) = -1012*d + 173870. What is the remainder when k(171) is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 - 6)*(2*f**2 + 5*f**2 - 2*f**2) + 3*f**2 + 0*f**2 - 4*f**2 + (-4*f + 0*f + 3*f)*(0 + 0 + 2*f) to the form a*f**2 + p*f + k and give a.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 11:52 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.42 - 0.08. Suppose -2 - 3 = 5*d. Let u = -1 - -0.6. Which is the smallest value? (a) w (b) u (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 1.9.\nAnswer: -13.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 186 - 172.9. Let m = 27.1 - w. Is m != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466207 is divided by 1831?\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3 + 2 - 4 + z. Let a be s(-2). Let l(n) = 54*n**2 - n. Is l(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1 - (-506)\/406)\/((-356)\/(-623)) and -107\/20.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6864730961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2816 and 88.\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 u, and 2 t when four letters picked without replacement from wltwuwtwlmttul?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -24. Let u = q + 5. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*r + 0*h = -57*r - 4*h - 8, 2*r + 19*h + 72 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, v: 4, k: 3, i: 1}. Give prob of picking 1 i and 1 u.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 14.926, -3, 3, -3\/13, 2\/3, -5 in decreasing order.\nAnswer: 14.926, 3, 2\/3, -3\/13, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038106588.\nAnswer: 2, 259526647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 8:56 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5417*-0.4.\nAnswer: 2166.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/4 + 1 + (-191)\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1063522*h**3*v**2 + 5*h**3*v + 256*h**3 - 3*h**2 + h*v**3 - 80*h*v wrt v.\nAnswer: 2127044*h**3 + 6*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 9*y - 83. Calculate the remainder when 152 is divided by t(-9).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2. Let p(g) = 60*g**2 - 23*g**2 + 28*g**2 - g**2 + 63*g**2. Give p(k(b)).\nAnswer: 127*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40796122, -81592231, -122388342, -163184455, -203980570, -244776687, -285572806?\nAnswer: -326368927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1526888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cdcckdcddk. What is prob of picking 1 k and 2 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) 6.144 (c) 5 (d) -0.5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 15 = 11*g. Suppose 0*z + z = g. Suppose z*y = -4 + 13. Solve -4 = -3*d + 4*m, 3*d + m + y*m = -28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 106*s + 3. Let h be v(-1). Let m = -64 - h. Suppose -4*b - m = -395. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, 0, 53, -1, 1, -12 in ascending order.\nAnswer: -12, -9, -3, -1, 0, 1, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/14 (b) 0.4 (c) -99\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (17 - 70 - (-1 + 17) - 1)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 + 2414?\nAnswer: 2500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - 5*j**2 - 6*j - 4. Let f be k(-4). Let y be 1750\/(-7)*f*31. Round y to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 15*k + 36. Give m(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15167*w**3 - 41685*w - 1 wrt w.\nAnswer: -91002*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13892519, 27785035, 41677549, 55570061, 69462571, 83355079?\n\"Answer: -g**2 + 13892519*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 224\/42*258\/(-10). Let q = w + 138. What is the nearest to -2\/3 in 2, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13195*y**4 - 23350.\nAnswer: 52780*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/((-9)\/(-3)) - (1 + -7). Let t = -4 + 4. What is the closest to t in j, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 2*z + 25 = 0, -579 + 554 = -5*z for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 103466646 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/5)*q)**(8\/5)\/(q**1)**(4\/21) assuming q is positive.\nAnswer: q**(1244\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1593941?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 57\/(-38)*(-32)\/6. Is 222\/n*8\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -445*m**2 - 2006*m + 9. What is z(-5)?\nAnswer: -1086","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.344 and -40?\nAnswer: 13.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -63*g**2 - g - 4. Determine f(-2).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 204593 + 85?\nAnswer: 204678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*s**2 + 77*s**2 - 41*s**2.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbbbbbqqqbbbbb. Give prob of sequence qq.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 2*b**2 - b + 4*b - 5*b - 4*b.\nAnswer: 2*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1328016 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017105104 to the power of 1\/2, to the nearest integer?\nAnswer: 44912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*t**3 + 1\/4*t**2 + 0*t + 0 + 1\/4*t**4 = 0 for t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -340 - -343. Let x = -3.91 + -0.09. Sort x, -1, m in descending order.\nAnswer: m, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 2*d**2 + 6*d**2)*(-4*d + 5*d - 2*d) + 3*d**3 - 2*d**3 + 0*d**3 + 0*d**3 + d**3 + d**3 + 256*d**3 + 9*d**2 - 240*d**3 - 2 - 5*d**2.\nAnswer: 17*d**3 + 4*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.695403 rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.6545 rounded to one decimal place?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 657\/5 - 131. Let g = -48 + 527\/11. Let w = 3.0484 + -0.0484. Which is the fourth smallest value? (a) w (b) -1\/4 (c) s (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 2*c + 4, -5*y - 2*c + 16 = -8. Suppose 8 - y = -s. Sort 0, 2, s in descending order.\nAnswer: 2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/8)\/((-2)\/16). Solve -2*x + 6 = -15*a + 11*a, -3*a - n*x = 32 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1117 (base 14) to base 2.\nAnswer: -101110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ahh when three letters picked without replacement from {a: 1, h: 12}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 + 36 - 42) + 0 + 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8)*y*y**(2\/3))\/(y**0\/y*y)**(16\/5) assuming y is positive.\nAnswer: y**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 + -59 + 0 + 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 2) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 + 47 = 11*n. Suppose -305 = -3*a + 3*h + 31, -208 = -2*a - 2*h. What is the highest common factor of a and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + 21. Suppose i = 12*i - 594. Suppose -u*r = -i*r + 57. Calculate the remainder when r is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8381737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1353330 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2255*w**2 - 24453*w**2 + 9*w - 4*w - 5*w.\nAnswer: -22198*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2582 = -5*k - t, -541 = 3*k + 4*t - 2097. What is the least common multiple of 645 and k?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 527436827 to the nearest integer?\nAnswer: 22966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -0.1 (c) -5\/2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2\/11, -1, 13, -14\/3, 0.1 in decreasing order.\nAnswer: 13, 2\/11, 0.1, -0.2, -1, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 94063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 9*n + 12. Let t be d(6). What is the units digit of 536\/12 - (t\/9)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 16*y - 4. Let b be r(10). Suppose -3*w + 3*v = -18 - 36, 0 = -v. What is the remainder when (-4)\/w + b\/(-81)*-24 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59355 by 19785.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 52336, 50630, 48924?\n\"Answer: -1706*v + 54042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 504\/396*22*-1.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 12b?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -17 (b) 0.4788 (c) -2\/3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 460 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.06 + -3. Let v = n - 0.16. Is v > 1\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 9. Let h be m(12). Suppose 5*o + h*k = 99, -o + 4*k + 29 = -0*o. Let r(w) = w**2 - 10*w - 48. Calculate the remainder when o is divided by r(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 - 109 = 5*p. Suppose 1356 = -2*c - 10*c. Let s = p - c. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1.4 (b) 2\/21 (c) 164 (d) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -4. Let l be (-3)\/2*(2 + (-8)\/3). Let b be (2 - l) + -2 + (-3 - -7). Solve 4*z = -4*g, b*g = n*z - z - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - 2) + 71 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000146544 to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 30, -2.\nAnswer: -2, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -72, -1, -3 in increasing order.\nAnswer: -72, -3, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -890 - -14335\/16. What is the common denominator of b and 1 + (286\/(-24))\/1?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 220111330 - -1221?\nAnswer: 220113211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 107254 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) + 1 + sqrt(5) + sqrt(5))*5 - sqrt(5)) + -3 + sqrt(15)\/sqrt(3))**2.\nAnswer: 60*sqrt(5) + 1129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 103. Let n(o) = 66 - 5*o + 66 - 200 + 68. Determine l(n(x)).\nAnswer: -5*x - 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, t: 7}. What is prob of picking 4 t?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = 2*m + 308000. Round m to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-78))\/((-510)\/(-1020))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 3799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 13*k**2 - 9*k - 12. Suppose -4*z = -6*z. Suppose 2*x = -3*d + 24, -2*d + z*d = -4*x + 48. What is the remainder when o(x) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -445*y - 337*y - 95*y + (-1 - 3 + 3)*(4 - 4 + 4*y).\nAnswer: -881*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 4, 43, 120, 247, 436, 699?\nAnswer: 1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.7, 1\/5, -55\/6 in ascending order.\nAnswer: -55\/6, 1\/5, 0.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 102 + 98 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/((-45)\/(-430)))\/((-12)\/(-18)). Suppose i + 5*w = -4, 2*i + 2*i + 5*w + 91 = 0. Let o = i + h. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -8*l + 1. Let g(q) = 4*q. Give -2*c(o) - 14*g(o).\nAnswer: -40*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -z + 3. Let p = 0 + z. What is the remainder when (-1 - -2)\/(p\/(-2)) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7449622 to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udv when three letters picked without replacement from {b: 1, u: 1, d: 1, w: 2, v: 1, c: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21003 + 21001. Let v be (-40)\/(-18) - 2\/9. Let p be (-20)\/(-6)*2\/15. Which is the third biggest value? (a) r (b) v (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 938 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (13 - (-9 - -3)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/((-27)\/(-12)))\/1. Suppose z + g = -r*g + 4, -5*g = 3*z + 28. Let y = 151 + z. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141.9033735s to weeks.\nAnswer: 0.00023462859375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 3)*(4 - (-93)\/(-6)). Let o = -21 - t. Which is greater: 3\/2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*v + 21 - 3, 3*v - 12 = s. Let a be (-2)\/(-6) - 214\/s. Find the common denominator of 43\/22 and 262\/a - (-1 - 0).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*d**2 + 0 - 3\/4*d - 3\/4*d**4 + 3\/4*d**3.\nAnswer: -3*d*(d - 1)**2*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, j: 7}. Give prob of picking 2 j.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + i)*(13 + 22 + 15) + (-1 - 3 + 5)*(0*i - 3*i + 2*i) + 2*i - i - 2*i in the form o*i + u and give o.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11012223 (base 4) to base 13.\nAnswer: 9693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*p + p + 4*p + (-2 - 2*p + 2)*(3 - 1 + 1) - 6*p + 34 - 66 - 19.\nAnswer: -13*p - 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*x + 105. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*-2*3*sqrt(567)*1 + 0.\nAnswer: -270*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 61, 130, 217, 316, 421, 526, 625?\nAnswer: 712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54656?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 13 = -45. Suppose 3*q = q + j. Solve 0 = -5*c + 3*i + 22, -2*c + 2*i = i - q for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19024, -19078, -19132, -19186, -19240, -19294?\nAnswer: -19348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6)*-2)\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 105?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**4*(j\/j**6)\/j*(j*j\/j**7*j*j)\/(j\/(j\/j**(-3\/4)*j)))\/((j*(j\/((j**(1\/4)\/j)\/j))\/j)**(-8\/13)\/((j**(-7)\/j)\/j**(4\/3))) assuming j is positive.\nAnswer: j**(-1699\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -2*t - 7, -5*t - 6 = 256*l - 252*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*i + 0)*(6 - 7 - 11)*(i - 2*i - i)*(-2*i + 3*i - 2*i).\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of 7*t**4\/12 + 2*t. Let y(w) be the first derivative of -w**3\/3 + 4. Give f(y(u)).\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6180)\/(-150) - 1*-4. Let k = 2267\/50 - g. Calculate the common denominator of -8\/5 and k.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsnp when four letters picked without replacement from llplnsnls.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 639 and 3750717?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 17 = 3*t + 8, 0 = 4*y - 5*t - 47. Calculate the lowest common multiple of y and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 2*y - 25, -46 = 2*y - 4*h - 8 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/3 + 6\/9. Suppose 4*t - q - 35 = -0*t, 5*q = t - 4. Solve 2*b - 15 = -b + h*w, -b + 2*w = -t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 10:56 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -29. Is -9 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -376916033*f**3 + 135335*f + 142?\nAnswer: -2261496198*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t = -39*t + 20*t - 304. Solve -t = 43*y - 62*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of a**4\/4 + 3*a**3 + 12*a - 5. Is 30 a factor of o(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 771 - 768. Let x(z) be the second derivative of 0 - 17*z - 1\/6*z**4 + 0*z**v + z**2. Suppose x(y) = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89761344 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away 942014253?\nAnswer: -942014244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1456745 - 703516. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -14*p - 7. Let t be 9\/((-21)\/6 - -2). Is v(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 7 - -6 - 12\/78?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 55. What is the lowest common multiple of g and (400\/(-340))\/((-44)\/374)?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10\/6)\/(10\/69630). Let y be 4\/(-6) - z\/(-33). Suppose 7*k - 9*k + 2*n + 342 = 0, -2*k = -5*n - y. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (59\/6)\/((-3)\/(-459)). Let c = w + -1533. Let p(k) = 4*k. What is the common denominator of p(-2) and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z - 6*z - 11*z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 26, 36, 44, 50, 54?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -109, -106, -115, -142, -193, -274?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l + 56. Let d = -106 - -85. Let a be b(d). Suppose 99*w = 104*w - a. What is the lowest common multiple of 36 and w?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from nyynnnniqnyyynyxn?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 - 15*p**2 - 16*p + 3. Let d be u(-9). Let x = 388 - d. Sort -5, -92, x in ascending order.\nAnswer: -92, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 12*i**2 - 19275*i + 1. Give u(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3134543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 115\/138*(-12)\/40*4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*w - 2)*(-2 + w + 2 + (0 + 4 - 3)*(w - 4*w + w) - 2*w - w + 5*w + (0 + 2 + 0)*(w - w + w)).\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3233*q**2 - 15*q + 15. Is w(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1712 times 254615\nAnswer: 435900880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/3*-3*2\/4. Let s be p + (-5)\/(-5)*1\/1. Solve -16 = -4*k, 2*k - 25 = -2*r - s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-60)*-3)\/((-2)\/(-4)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 971958 less than 971957?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31801 and 1783747?\nAnswer: 2891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 take away -83.486538162?\nAnswer: 83.526538162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*i - 34*i + 60 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 314009 and 117968?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6\/5, -2\/443, 1\/2, -16, -0.4, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*r + 60 = 0, -2*x + 3*r = -19 - 3. Suppose -a - 22 = -4*q, 3*a - 3*q + 76 = -2*a. Let m = a + x. Solve -3*i + m = -3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834665264.\nAnswer: 2, 83, 277, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmqmmmqqmqm?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -20. Let f = -3320 + 3323. Solve o = r + f*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0389 + -2.9611. Put w, 0.0552, 0.1 in increasing order.\nAnswer: w, 0.0552, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*n**2 - 224*n**2 - 164*n**3.\nAnswer: -164*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from wtkunbu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68841921 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 + 2)*(y + 2*y + 0*y) + 2*y + 3*y - 2*y in the form x + z*y and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -296, -1945, -6300, -14711, -28528, -49101, -77780, -115915?\n\"Answer: -225*r**3 - 3*r**2 - 65*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 370 and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42199 is divided by 211?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9131*u + 45626. Calculate r(-5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*f + 10 - 14*f - 5 + 2*f**2.\nAnswer: 2*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b - 173. Let s be k(-5). Let m = 203 + s. Sort 10, m, 1, -4 in decreasing order.\nAnswer: 10, 1, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19454321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3365 by 3365.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -35, -44, -57, -74, -95, -120?\n\"Answer: -2*l**2 - 3*l - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, m: 1, x: 12, k: 1, h: 2}. Give prob of picking 1 o and 1 m.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - -1 - 1*-6. Let l = -2 - -5. Suppose u - j = -l*j + 11, 0 = 4*u - j - 44. Solve 3*x + 21 = 3*k, 4*x = -v - u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**2 - 41*s**3 + 3*s**2 + 3*s**4 + 44*s**3 + 0*s**2 to the form w + v*s**4 + b*s + j*s**2 + p*s**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 769 = 733 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 661008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(-4 + 8 + 1)*(k - 3 + 3) as s + g*k and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 282317*m - 54642. Let d(k) = 1301*k - 252. Calculate 6*b(u) - 1301*d(u).\nAnswer: 1301*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 5*t**2 + 3*t - 5. Let r be (-10)\/(-3)*(-9)\/(-6). Let l be i(r). Let k(s) = -10 + 2*s + l. Let v(p) = p. What is v(k(m))?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -18069 (base 12) in base 2?\nAnswer: -1000011101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w - 7*w - 7*w - w to i*w + v and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3509645 and -12.\nAnswer: 3509633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**4 - 26*l**3 - 73*l - 118855 wrt l.\nAnswer: 4*l**3 - 78*l**2 - 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4620 - 4619.999994504. What is f rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1321\/5 + 7661\/30. Find the common denominator of 51\/5 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79798327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 - 1)*(-16*h + 16*h - 47*h**2) + 8*h**2 - 3*h**2 - h**2.\nAnswer: 239*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 8*o**2 + 56*o + 201. What is the hundreds digit of b(-34)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2. Let c(o) = 2*o - 5. Let v be c(4). Suppose 10 = 7*b - 2*b. Let d(n) = -n - b*n + v*n + n. Calculate j(d(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.6240742 seconds to minutes.\nAnswer: 0.04373457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4 times -0.5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 4*b = -6, 7*v - 150*b + 14 = -149*b for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358314?\nAnswer: 2, 3, 11, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/(24\/(-30)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**21)**(-8\/3)*(y\/y**(-2\/5))\/y**(-25\/3))**(4\/29) assuming y is positive.\nAnswer: y**(-2776\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 179 - 105. Let v = g + -71. Suppose m + r - 194 = 0, v*r + 398 = 2*m - 0*r. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1590233*w**2 + 2456991?\nAnswer: 3180466*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.307 - -0.207. Let i = -19 - v. Round i to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.69031 to three dps.\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 17*b - 1. Let g be i(-1). Let j = g - -29. Calculate the remainder when 32 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = 3*h - 521. Suppose 0*d = -4*d - h. Let a be 40*(d + 2)*-64. Round a to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -19*g + 14. Let o(j) = -4*j + 3. Let c(w) = 2*b(w) - 11*o(w). What is the remainder when c(8) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3355 and 3347 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3*s + 3, 3*s - 7*s + 5*k + 13 = 0. Suppose -2*u + 44 = 2*z, s*u + 0*u = 3*z + 19. Is u a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = -3 - 7. Let a(w) = -1. Let r = -20 - -41. Let o(p) = 15*p + r*p + 8 - 38*p. What is k*o(y) - 8*a(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1340)\/(-12) - 0) + 4\/(-6). Let z = d - 108. Suppose -z*j + 11408 = 13*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f - 4*f - 15 = 5*c - 0*f, -9 = 3*c - 3*f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 239 + -245. What is the smallest common multiple of 108\/126*(-98)\/l and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 256200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 4*u**2 - 5*u**2 + 5*u**2. Let t(p) = -15*p**2 - 11*p + 11. Let i(h) = 4*h**2 + 3*h - 3. Let g(j) = -22*i(j) - 6*t(j). Calculate m(g(o)).\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 59 = 3*j, -3*p + 3*j = 7*j - 42. Solve 2*f + 4*y = -p, -y - 2 = -4*f + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 819, 1648, 2481, 3318?\nAnswer: 4159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 3:15 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/77 and 111\/77384692?\nAnswer: 77384692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-21))\/(4\/7)*-4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -10*a + 4. Let v(w) = -w - 1. Let j(h) = d(h) + 4*v(h). Let u(x) = 5*x. Let f(t) = -4*j(t) - 11*u(t). Let b(m) = -6*m**2. Determine f(b(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/7))**(-23)\/((w\/(w*w**(-1\/3))*w)\/w*w*w*w\/w**(-10)) assuming w is positive.\nAnswer: w**(-418\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.06, 3, -6.524903 in ascending order.\nAnswer: -6.524903, -4, -0.06, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/(a\/(a*(a\/(a**(-13)\/a))\/a)))*a**(3\/10)*a\/a**(-12)*((a\/((a\/(a*a*a**(-8)*a)*a)\/a))\/a)\/a*a assuming a is positive.\nAnswer: a**(-67\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27869, 27874, 27883, 27896, 27913, 27934?\nAnswer: 27959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 29*f - 61. Let q be 1\/3*(3*-12)\/(-6). Let a be m(q). Let y(p) = 2 + 4*p - p**2 + 2*p**2 - p. Determine y(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 m, and 1 d when four letters picked without replacement from lmmzzzd?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 923347.5nm?\nAnswer: 0.9233475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -39 - 309. Let f = y + 189. Solve 0 = 5*l + 5 + f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -36*o**2*p*z + o**2*u**3*z + 2*o**2*u**3 + 2*o**2 - 2*p*u*z - 3*p wrt z?\nAnswer: -36*o**2*p + o**2*u**3 - 2*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 2\/(-1 - 1). Suppose -4*j - n = -8 - 8, 4 = n. Factor -3*y**3 + 2*y**4 - f*y + 8*y**3 - 2*y**j + 6*y**2 - 9*y**3.\nAnswer: 2*y*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.334 + -0.814. Let b = 0.2 + 2.22. Let u = h - b. Which is bigger: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 2*r + 9. Let p = 53 - 49. Let f be q(p). Let x = -71 + 75. What is the highest common divisor of x and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -57*z**2 - 9*z + 1. Let s(m) = -28*m**2 - 5*m + 1. Determine -3*h(i) + 5*s(i).\nAnswer: 31*i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times 13\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 u when three letters picked without replacement from kyzuutkzw.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 113, 265, 493?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327415 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: Work out 14 * 89205.\nAnswer: 1248870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/36)\/(2\/6)*0. Suppose 7*j - 10*j + 2712 = o. Let i = 1965 - j. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m - 6. Calculate the greatest common divisor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12440683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 179 + -28312?\nAnswer: -28133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3\/19, 1, 3, -0.02, 0 in ascending order.\nAnswer: -3, -0.02, 0, 3\/19, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 9. Let y = 12.012 + b. What is y rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.176 + 0.894. Round n to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*(-6)\/(-9))\/10. Suppose 2*s = -2*s. Which is bigger: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**5 + 6948*s**4 + 1008651*s**3 + 36991236*s**2 + 98216208*s - 136223040 = 0.\nAnswer: -68, -4, 1, 2455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.03, 2\/149, 1.788, 2?\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2309008 = -5*b + o, 5*b + 2*o - 3043698 + 734699 = 0. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 6*w**2 + 25*w - 10. Suppose -21 = -2*i - 39. Let s be v(i). Suppose s*y - 13*y = -60. Is 2 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*q**5 + 2968*q**4 + 209*q**3 - 175988442*q**2?\nAnswer: 1920*q**2 + 71232*q + 1254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 1. Let f be n(0). Let m be f\/1 + 20\/(-4). Let w be 0 + m\/(-2) - 1. What is the greatest common factor of w and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 2)*(-14)\/6. Suppose 3*y - 65 = -5*u, 40 = p*u - 5*u + 4*y. What is the greatest common factor of 40 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -4*z**3\/3 - 4*z**2 + 2*z. Let n be d(-2). What is the greatest common divisor of 128 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(25\/30)*3083. Let y = -406859\/22 - z. Calculate the common denominator of -117\/20 and y.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 2*g - 20, 2*o = 2*g + 27 - 37 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457674 (base 10) in base 3?\nAnswer: 2202001112221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39 times -37?\nAnswer: -14.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 5) in base 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -366 in 2\/41, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4253000205 + 1?\nAnswer: 4253000210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0482590691 and 0.03.\nAnswer: 0.0782590691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4 + (-1*(sqrt(150) + sqrt(150)*6))\/(sqrt(48) + sqrt(480)\/sqrt(10)))**2*-6.\nAnswer: -5147\/16 + 210*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5 = 20. Let d be 3 + 12\/3 - z. Solve d = -3*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e411e5 (base 15) in base 13?\nAnswer: 2325b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 138 - 134. Suppose -z*o + 3 + 49 = 0. Let n be 52\/(-1)*(-27)\/12. What is the highest common divisor of o and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*36\/30*(-4)\/648*-90.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (5 - (-102)\/(-30)). Which is the closest to k? (a) 2 (b) -0.5 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 h when four letters picked without replacement from {i: 3, f: 1, l: 1, j: 7, h: 1}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 5*x**2 - 4*x. Let l be f(4). Suppose l*z = 3*z - 6. Suppose 5*p - 64 = -4*a, 2*a = -z*a - 4*p + 60. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - -1642?\nAnswer: 164a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(-1 - -9)\/4. Suppose 2*g - 14 + o = 0. What is the remainder when 13 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001101 - 101?\nAnswer: -11010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b - 16*b**2 - 7 - 6*b.\nAnswer: -16*b**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 660 and 1096986.\nAnswer: 10969860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmbd when four letters picked without replacement from jbbwwdm?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l. Let v(f) be the third derivative of 0*f**3 + 0 + 0*f - 5\/12*f**4 - 62*f**2. Give v(k(y)).\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14878594?\nAnswer: 2, 7439297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-17)\/(-51) - 11\/(-3). Suppose -5*i - b + 96 = 3*b, -b - 21 = -i. Suppose -5*f + 18 = 2*z, 5*z + 3*f = 7*f + 12. Solve i - j = z*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/25)*d**(-8)*((d*d**(-4\/5)\/d)\/d)**23)**(2\/51) assuming d is positive.\nAnswer: d**(-822\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 78469998 to the power of 1\/3, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1110*l - 361*l + 590*l + 150*l + 198037 for l.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28742 = -35*z - 26327. Let w(u) = -55*u**3 - u**2. Calculate the least common multiple of z and w(-1).\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by -64?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2071365, 4142625, 6213887, 8285151?\n\"Answer: n**2 + 2071257*n + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o - 4*o - 1 + 0. Suppose 207*r = 204*r + 12. Let a(s) = 4*s - 6*s + 4*s + 2 - r. Give -3*a(z) + 4*j(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*f - 279 + 41*f + 283 to g + b*f and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 2*j - 3*j)*(0 + 0 + j) + 12576 - 969*j**2 - 12576.\nAnswer: -970*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 343*c**2 + 2 - 104*c**2 - 85*c**2 - 93*c**2.\nAnswer: 61*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 806 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (372\/189)\/(-4) - -2. Let p = k - 11\/9. Factor -2\/7*z - 2\/7*z**4 + p*z**2 + 2\/7*z**3 + 0.\nAnswer: -2*z*(z - 1)**2*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqbqqbqqqq. Give prob of picking 4 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 - 2*j + 2. Let g be y(2). Let h be (4\/(-8))\/((-1)\/g). Solve -4*s = -h*f - 3*s - 11, s + 5 = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 3 - (-9 + -4). Suppose 7 - t = -2*a. Solve -5*k + 20 = 4*p - a*p, -4*k - 17 = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 643420 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3. Suppose j = -h + 2 - 5. Let g be (-2)\/((2 + h)*2). Is g >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252)*2 + -4 - (0 + sqrt(252) + -1))*-1 - (-5 + 1 + sqrt(252) + -5)*-3)**2*5.\nAnswer: -2880*sqrt(7) + 7920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j - 3. Suppose 0*k = 2*k - 28. Is a(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*p = -12, -4*a + 5*p = -8 - 6. Suppose 2*f + 2*j = -2, 5*j = 3*f + 2*j - 15. What is the smallest common multiple of a - -2 - 3 - -11 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1835, 3673, 5513, 7355?\nAnswer: 9199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -1350.\nAnswer: -1349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*i = -5*v + 44*i + 1272507, i + 763513 = 3*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2218.\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -20. Let k(s) = -s**2 - 5*s + 8. Let a be k(b). Suppose 6 = 4*i - a. Let q(w) = 3*w - 3. Calculate q(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*q**2*r*u**2 - 2*q**2*r + q**2*u**4 + 16*q*r*u**3 - 12*q*r*u**2 + 50*q*u**4 - 2*u**2 wrt u?\nAnswer: 24*q**2*u + 96*q*r + 1200*q*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5 = 6*p, 2*x + 5*p + 23 = 0. Let s be (-2)\/(-6) + x\/(-3). Solve s*l = -6 + 26 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -2*z - 1480. Let m be (-345)\/(-8) + 1\/(-8). Suppose 0 = -4*d - 5*q + 163, 2*q + 0*q = -d + m. Calculate the greatest common divisor of d and z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006424 to 4 dps.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*f**2 - 22*f + 22*f in the form j + h*f**2 + y*f and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2010048 and -111\/123424?\nAnswer: 14070336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2741396, -5482798, -8224200, -10965602, -13707004, -16448406?\nAnswer: -19189808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.2 (b) 2 (c) 21 (d) 0.5 (e) 72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 4*p**5\/5 - 79*p**4\/6 + 14*p**3\/9 + 79*p**2\/3 - 26*p\/3 - 1972. Find g, given that i(g) = 0.\nAnswer: -1, 1\/6, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312\/(-15)*45\/18*17\/17\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 4*q - 12, -5*l - 8*q + 3*q = -15. Solve l = -p + 39 - 40 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 - 84 - 77 - y**2 + 2*y**2.\nAnswer: y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d**2*k**3*q + 2*d**2*k**3 + 76*d**2*k - 17*d**2 - 7*d + k**3 - 29*k*q**2 - 37426*k*q wrt q?\nAnswer: -d**2*k**3 - 58*k*q - 37426*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112153, -112113, -112073, -112033, -111993, -111953?\nAnswer: -111913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13649 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8068379 minus 3?\nAnswer: -8068382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2321134 (base 5) to base 7.\nAnswer: 233402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198530751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -148188*o - 261588?\nAnswer: -148188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 7, -10.6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -16*o. Let m(r) = r. Let l(n) = 2*c(n) + 28*m(n). Let h(u) = u**2 + 2*u**2 + 3*u**2 - 5*u**2. Calculate l(h(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2*1 + 240\/(-100)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 199*a. Let k be ((-3)\/(-3))\/((-2)\/10). Let f = 6 + k. Is 34 a factor of o(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n**2 + 2*n + 1. Let m be r(-1). Suppose 0 = h + 4*g - 19, h - 2*g = -m*h + 85. Is 17 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 12:48 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (3200\/(-16))\/50*7\/(1960\/(-750))\nAnswer: 75\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 11*p**2\/2 - 11*p - 18. What is the least common multiple of y(4) and 60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of 7*z**4\/6 + 5*z**3\/6 - z**2. Let u be n(6). Suppose 3*c - 796 = u. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {p: 4, u: 2, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39504457*s**2 - 125 + 125.\nAnswer: -39504457*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-294)\/(-4))\/(-3)*((-340)\/(-70))\/(-17)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 61, 78, 5, 2, -5 in decreasing order.\nAnswer: 78, 61, 5, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 899 = -1291*o + 1322*o. Solve o*j = 34*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 4*s - 8. Let p be j(-6). Suppose 0 = 7*m - p*m - 129. Suppose m + 112 = 5*z. List the prime factors of z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*(sqrt(153) + 3 - sqrt(153) - sqrt(153)))**2*-1.\nAnswer: -2512 + 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0 - 4, -p = -5*o + 9. Which is the nearest to 2? (a) p (b) -2\/9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19822272 and 306.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 201703441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*w = 3, 18 = -0*t + t + 5*w. Let q be 14*((-20)\/(-5))\/(-8). Let v = q - -5. Put -7, t, v in increasing order.\nAnswer: -7, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 176322461 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11.4 - -12. Let j = 0.9 - p. Let x = -0.2 + -0.3. Which is the smallest value? (a) j (b) -0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 978.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9, r: 8, o: 2}. Give prob of sequence eoeo.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -16 + 478?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) -1\/2 (c) 3 (d) -2\/17 (e) -1\/4 (f) -0.13394\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11452 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: -1815 times -16154\nAnswer: 29319510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 464 and 232?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 6 = 2. Let q(x) = 21*x**2 + x + 11. Let f(g) = 4*g**2 + 2. Determine s*q(b) - 11*f(b).\nAnswer: -2*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 + -32. What is the units digit of (-7)\/((-7)\/f) + (178 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 32. Suppose 16*o + 7 = 119. Suppose 0 = 31*m - o*m. Solve y = -2*l - 6 - m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10806000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2050 is divided by 152?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 386, 1, -237, 3, -100 in increasing order.\nAnswer: -237, -100, -1, 1, 3, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3*sqrt(2736) + sqrt(2736))**2.\nAnswer: -54720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x. Let m(p) = -p - 1. Let n(z) = 5*j(z) - 4*m(z). Let f be n(-1). Suppose -25 = -f*c, -c = 3*l - 150 - 233. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3617.96 from -5480527.\nAnswer: -5476909.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -108. Let s = -6583.56041 - -6673.56. Let t = s + v. What is t rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*l - 1780 - 395. Let a = -146 - l. Does 6 divide 110\/(a + 12\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2012*o + 22345. Calculate h(-12).\nAnswer: -1799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1472 is divided by 1008?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -6*b**4 - 16*b - 32. Differentiate l(r) wrt r.\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 212520 is divided by 122.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 311, 312, 313, 314?\n\"Answer: q + 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 - 5*n + 2. Let m be p(3). Is m bigger than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (-4 + -5))\/(2\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2652 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 8. Let v(r) = 2*r**2 + 11*r - 22. Let h be v(-10). What is the greatest common factor of h and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101 + 218 - 78 + 0 + 0 + 1 + (-1 + 1 - 1)*(3 + 2 - 3))*(3*w + 0 + 0).\nAnswer: 720*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*z**3 - 20*z**3 - 9*z**3.\nAnswer: -51*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/35)\/(-25 + 24). What is the nearest to 0.1 in 3, s, 12, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z. Let k = 5 - 0. Suppose k*a + 14 = 129. Let t(p) = -a + p + 23. Give t(m(i)).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 520 is divided by 57.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xkk when three letters picked without replacement from ukkxxxuvkx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/120 and -23\/31085316?\nAnswer: 310853160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/13)*j*j)**(-9\/7)\/(j\/(j*j**(-1\/6))*j)**48 assuming j is positive.\nAnswer: j**(-5312\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 24*c**3 + 12*c**2 - 23*c + 17. Is r(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 9 = -1. Let f be (0 - 1) + b - (0 - 4). Solve g - m - 1 = f, 0 = -3*g + 5*m + 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 585 - 583. Solve 0 = m + u - 1, 2*m = 2*s + 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0537 + 62.0537. Sort 1, t, -1\/8 in decreasing order.\nAnswer: t, 1, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2. Suppose 5*x - 18 = -4*x. Let s(l) be the first derivative of 0*l + 0*l**x + 4\/3*l**3 - 4. What is s(r(g))?\nAnswer: 16*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/280? (a) -12\/23 (b) -1 (c) -0.07 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4 + 18. Suppose -3*b + 82 = -17. Let k = d + b. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8728*t**5 + 3*t**4 + 2*t**3 - 4*t**2 - 4718*t + 1 wrt t?\nAnswer: 523680*t**2 + 72*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3729132\/227 > -16427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-104)\/28)\/2 - -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113 + 113. Suppose w - 2*f - 2 = i, -f - 16 = -5*w - 6. Solve 9 = w*s - 7*s - 2*o, s = -5*o - 11 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/30 and -59\/75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 4*v. Let m be i(-4). Suppose m = -4*z, -z + 0 - 16 = -4*c. Solve h - c = 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118084448 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39.879 - 0.5.\nAnswer: -40.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924*f + 469*f - 16 = 44*q - 46*q - 460*f, 3*q + 17*f = 62 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 797360 by 199340.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 7:08 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3837033631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.5 (b) 2\/7 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -1\/30*n**5 - 3*n - 1\/2*n**2 + 0 - 2\/3*n**3 - 1\/4*n**4. Let k(a) be the first derivative of d(a). Solve k(t) = 0 for t.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -3. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13, 7, 20, 2\/3, -11, 0.18, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + 1 + sqrt(2299) + -4 + (-6*(sqrt(2299) - (sqrt(2299) - (1 + sqrt(2299))**2)) - (1 + sqrt(2299)*3)).\nAnswer: -13807 - 154*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21012002121 (base 4) in base 8?\nAnswer: 11060231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2566440 is divided by 1289?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2947238741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/8 in -1\/2, -4, -20?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -209, -525, -827, -1109, -1365, -1589, -1775, -1917?\n\"Answer: k**3 + k**2 - 326*k + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1133 - -2000?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36439, 36338, 36059, 35512, 34607, 33254?\nAnswer: 31363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 2*j + 64, 5*j + 57 = -2*c - 0*j for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 436\/5*4\/(-16)*45*(-41)\/369.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6\/5, 0.5, -10, -0.046, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/4 + 74437*n**3\/4 - 7830843*n**2\/2 = 0.\nAnswer: 0, 211, 74226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -60, -58, -56, -54, -52, -50?\n\"Answer: 2*t - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41249?\nAnswer: 13, 19, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -9. Solve 0 = 2*h - 3 - a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-4) + 28\/(-8) - -750. Let x(j) = 754 - i + 6*j - 11*j**2 - 2*j. Let d(s) = 4*s**2 - s - 2. Calculate 8*d(n) + 3*x(n).\nAnswer: -n**2 + 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = 0, -2*m - 636100*j - 26 = -636102*j for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 30604.08 kilometers?\nAnswer: 3060408000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2618)\/(-221) - (9 + 3)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1260?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 3. Let y be c(-2). Let w = -8 - -12. Suppose w*p = -20, 2*p = -0*f - f - 7. Sort y, 4, f in descending order.\nAnswer: y, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 1019?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -110 + 25*l**3 + 110 + (2*l**3 - 2 + 2)*(2 - 3 + 0).\nAnswer: 23*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 24098 - 4246 = 0. Let h = w - -48926. Round h to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 238 and -5\/168 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v**4 + 3*v**3 + 4*v**4 + 0*v**4 + v + 12 as h + x*v**4 + p*v + u*v**3 + o*v**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 26*z**2 - 44*z - 45. Let s be w(-24). Are s and -139 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4684823678.\nAnswer: 2, 23, 6101, 16693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 87*d + 100246. Give l(363).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25549.062 - -25521. Let u = d - -0.062. Let s = u + 27.7. Which is the second biggest value? (a) -0.6 (b) s (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32649 divided by 5?\nAnswer: 32649\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m*o**3 + 2*m*o + 69*o**4 - 136*o - 1 wrt o.\nAnswer: 12*m*o + 828*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 122659490 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmlt when four letters picked without replacement from {m: 2, t: 1, l: 3, r: 6}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -n - b + 9, 2*b - 8 = -4*n. Suppose -n*c + 3*c = -5*c. Solve c = -j + 3*g - 2*g + 3, 0 = 4*j + 2*g - 24 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 47*d = -0*d - 255. Sort -35\/3, d, -5\/3, -0.05 in increasing order.\nAnswer: -35\/3, -5\/3, -0.05, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 767235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 3 (c) -55\/7 (d) 1\/183503 (e) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2232 = g - 52534, 0 = -3*f + 5*g + 41086. Suppose -f = 136*k - 148*k. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + sqrt(76).\nAnswer: -1 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19640 - -27940. Suppose 0 = 23*v - 3*v - b. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 1:14 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9}. What is prob of picking 4 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18942 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 68 - 46 = -3*j, -2*j + 73 = -5*f. Let i = -147 + 160. What is the highest common factor of i and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/27)\/(384\/(-148608)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -40 (base 5) to base 7\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4786 and 322428034?\nAnswer: 4786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.79 from 22360.\nAnswer: 22356.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -1 + -1 - (46 - 6 - 37)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3644.3282 and 32.25.\nAnswer: 3676.5782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + m = -0*n - 39, 4*n = 4*m + 36. Suppose -n = 2*p + 2. Let t(x) = -x - 2. What is the remainder when 10 is divided by t(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -5037.\nAnswer: 2\/5037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**3 + 295*b**2 - 873*b + 2 wrt b?\nAnswer: 12*b + 590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5ec228 (base 16) to base 6.\nAnswer: -341034224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {g: 6, m: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 + 170 = -4*d + 46*b, -54*b + 495 = 3*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -j**6 - 10*j**3 + 43*j**2 + 2.\nAnswer: -120*j**3 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 27. Suppose -5*o = 4*v - 217, 179 = 4*o + n*v + 2*v. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 7672. Let k(j) = 7049*j - 1. Give y(k(q)).\nAnswer: 14098*q + 7670","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -14. Let l = v - -7.5. Which is the closest to 3\/2? (a) l (b) 3 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/4)\/((-19)\/419). Let c = j - -65\/38. Let i = 581 + -1081\/2. Calculate the common denominator of c and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 5\/((-20)\/(-12)). Solve -2*k = y*g - 20, 4*k - 10 = -g + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8260 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + 3*g**2 + (-3*g + 3*g - 2*g)*(-5*g - 3*g + 4*g) in the form s*g**2 + f*g + b and give s.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 3728 and -17764 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*h**4 + 82*h**2 - 6624?\nAnswer: -52*h**3 + 164*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 154887 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**6\/90 - k**5\/6 - k**4 + 13*k**3\/3 - 8. Let a(q) be the third derivative of l(q). Factor a(g).\nAnswer: -4*(g + 2)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*p = -8, 0 = h + 2*p - 3 - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 817780, 1635558, 2453326, 3271078, 4088808, 4906510, 5724178?\nAnswer: 6541806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v - 10. Let o(b) = 3*b - 10. Determine 5*d(j) - 4*o(j).\nAnswer: 3*j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 0.4, 3, -2, -6\/121.\nAnswer: -2, -0.6, -6\/121, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**3 - h**2 - h - 1. Let v be j(-1). Let d(t) = -t**3 + 4*t**2 - 2*t - 2. Let x be d(v). Which is the nearest to 0.1? (a) 5\/4 (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - u**2 + 1551*u**3 - 1109*u**3.\nAnswer: 442*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-3 - 10\/(-2)). Let r(v) = -5 - c + 4*v + 3 - 7. Let f(x) = -2*x + 5. Calculate -13*f(u) - 6*r(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/42*2*(-280)\/32. What is the third biggest value in -63, 21, t?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 11, r: 5}. What is prob of sequence vr?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -156 - -158. Solve 0 = -l*x - x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 8 = -4*c + 1, -2*c + 100 = 4*k. Calculate the remainder when 90 is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2)\/((10\/232)\/(-5)). Put -5, v, 0, -2 in ascending order.\nAnswer: -5, -2, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10015, -20056, -30127, -40228, -50359, -60520?\n\"Answer: -15*n**2 - 9996*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b*d**3 - b*d**2 + 73*b - 118*d**4 wrt d?\nAnswer: -6*b - 2832*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -346*d + 84551. Determine r(244).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -3. Let r = 2927\/5 + -586. Let p = -0.6 + 0.4. What is the third biggest value in i, r, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*u)*(-u**2 + 2 - 2)*(233*u + 388*u - 76*u).\nAnswer: 1635*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 13280 = -4*d, -d = -5*a - 0*d - 16600. Suppose -19*q + 21796 + 78338 - 2835 = 0. Let z = q + a. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -10301100?\nAnswer: -10301032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**3 - 116*a**2 + 1060*a + 7700 = 0. Calculate a.\nAnswer: -35, -5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 153335018 a multiple of 432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -15. Let g = 13.4 - z. Which is the nearest to 2\/3? (a) 1\/3 (b) g (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l + 4. Let d be -7 - -1 - ((-30)\/(-6) + -2). Let i be q(d). Let b(y) = y**2 + 4*y + 5. Calculate b(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (74\/3 - 15)*-2 - -15?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8041761 + -115?\nAnswer: 8041645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-22)\/(-33))\/(1\/(-3)*1). Let a be (c\/1)\/((-7)\/(-14)). Let j(z) = -z**2 - 8*z - 2. Calculate j(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105.9 - 106. Let c = 0.5 - 0.7. What is the closest to f in -4, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -155 - -161. Is 1*w\/(-12)*-16706 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 285400 and 399560.\nAnswer: 1997800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.504 and -4.17?\nAnswer: 3.666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 - 7*h**2 - 4*h + 229. Determine r(0).\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -2*a**2\/5 + 57136*a\/5 + 3951906\/5 = 0.\nAnswer: -69, 28637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3426246 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 141 = -141. Let j(r) be the second derivative of -2*r + 0*r**3 + 0*r**4 - 11\/2*r**2 + 3\/10*r**5 + i. Differentiate j(s) wrt s.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 5, -0.2, 10 in descending order.\nAnswer: 10, 5, 0.1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1698 and 13017717?\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__gcd_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: Suppose -25 = -12*h + 23. Suppose 0 = -2*m - 2*u + 10, -h = 3*m + 5*u - 19. Solve -m*f + 1 = -4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, 4, -2\/31, -29\/5, 0, 1512, 0.5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/4 and -11\/236.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134419?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35347678\/355 + -99571. What is the common denominator of 109\/350 and i?\nAnswer: 24850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2587 + -43939\/17. Let l = d - 331\/119. What is the closest to -0.1 in l, -1\/9, 1\/2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 1 + 1 + (-4 - q + 4)*(0 + 0 - 2) + (-1 - 1 + 3)*(4 - 18*q - 4).\nAnswer: -14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.0231 (b) 0.1 (c) 0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.047 + 0.827. Let f = v - 0.28. Is f less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1416*r**3 - 2841*r**3 + 472*r + 1424*r**3 to the form l*r**2 + t*r + i + n*r**3 and give t.\nAnswer: 472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000012522 rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * 0.4.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(((w*w**(7\/4))\/w)\/w*w)\/w)\/w**(-2\/19) assuming w is positive.\nAnswer: w**(141\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/4 + 124863*x**2\/2 - 499443*x\/4 + 62430.\nAnswer: -3*(x - 83240)*(x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 24713118, 3, -10 in descending order.\nAnswer: 24713118, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8127319 - 14634565. Let q = 4301884 + v. Round q to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 46787266.\nAnswer: -187149064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in 4, -1\/18, -6.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/f**(-1\/3))\/f)**8)**(-1)*(f*f*f*(f\/(f*f**(-7)))\/f*f*f\/((f\/(f\/((f**(-2\/5)*f)\/f)))\/f))\/(f\/f**(1\/4)*f)**(-15) assuming f is positive.\nAnswer: f**(1679\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 225.54 and 0.45?\nAnswer: 101.493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.35 - 0.45. What is the closest to -0.5 in -1, f, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4 - 164*j + 87*j + 54*j - 5. Let u(m) = -52*m - 18. Let k(p) = -9*a(p) + 4*u(p). Let s = 10 - 0. Determine k(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8247\/(-150) - (-287)\/(-14350)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 6*r**2 + 7*r - 9. Let i be x(6). Let l = i + -22. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -520, -476, -432, -388, -344, -300?\n\"Answer: 44*y - 564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of 2*p**3\/3 + 1. Let c(k) = 2*k**2. What is i(c(s))?\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*c - 89 - 43. Let l(d) = -6 - 11*d - c + 13*d. Let x be l(13). Solve -s + x = -3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -2. Let q = 8 - 5. Let f = -1 + q. Calculate the smallest common multiple of l and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 11:38 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36900.84 - 36918.83993. Let h = w + 18. What is h rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvyvyyvvvvvyvyvvyvv. What is prob of picking 4 y?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 70713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 66*t**7\/7 + 2*t**3\/3 + 138*t - 186. Find the third derivative of m(s) wrt s.\nAnswer: 7920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 15*h**2 + 2*h - 3. Let r(a) = 5*a**2 - a + 1. Give -3*b(f) - 8*r(f).\nAnswer: -3*f**3 + 5*f**2 + 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 112493 or 112621?\nAnswer: 112493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 0*g + 0*g - 2*g. Let o(p) be the first derivative of 2*p**3\/3 + 3. Determine q(o(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, o: 2, j: 4}. What is prob of picking 2 j and 2 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (5 - 2) + -15?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17.4 * -1707.8.\nAnswer: -29715.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39287833033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s - 1\/15*s**6 + 0*s**2 - 12*s**4 - 91\/20*s**5 + 0*s**3 + 4. What is the third derivative of c(o) wrt o?\nAnswer: -48*o - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6471, 6450, 6429, 6408, 6387?\nAnswer: 6366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*i - 5*i = -28, -i = -5*m + 10. What is the lowest common multiple of m and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190218930?\nAnswer: 2, 3, 5, 11, 576421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 9532*i + 209103. Calculate s(-22).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.066 + 3.934. Which is the nearest to 1? (a) -1 (b) z (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 741 and 2691.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/3906125 and 8\/255?\nAnswer: 199212375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 102\/18 - 2\/3. Suppose -4 = 3*b - 4*b + i, -4*i = u*b - 29. What is the derivative of -4 - 19*s**2 + 19*s**2 + b*s**4 wrt s?\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(68) + (sqrt(68) - (-1*sqrt(68) + sqrt(68)) - sqrt(68))) + sqrt(68))\/(sqrt(4) - (1*sqrt(16) + sqrt(16))).\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 21*v - 29. Calculate the remainder when c(24) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**3 - 3*n**2 + 3*n - 3. Let d(k) = 12*k**3 - 8*k**2 + 9*k - 8. Let i(j) = -3*d(j) + 8*w(j). Find the second derivative of i(m) wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18706420*h**2 + 27023182.\nAnswer: 37412840*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + k + 9, -2*i - 15 = 2*i + 3*k. Let u be 2\/i*(4 + -1 + -1). What is the closest to u in -1\/10, -2\/17, 3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 32571747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1330 - 1331. Which is the third biggest value? (a) 73 (b) l (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -9.098 and 878.45335.\nAnswer: 869.35535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r**3 - r**2 - r + 1. Let o be h(1). Let x(s) = s**2 - 5*s - 2. Let y be x(o). Suppose 0 = y*c - 4 - 4. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n + 4*a + 35, -2*n = a - 25. Let v(c) = -c**2 + 9*c - 17. Let p be v(6). Is (-21955)\/n*(-2 - p)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10739\/635 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3\/7, -245, 1, -5\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 643 - 2827 = -698. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 21\/210 + 95\/50. Solve -u*n - 49*h + 48*h - 1 = 0, 2*n - 4*h = 24 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -4. Suppose -5 = -2*v - 3*v, 2*r + 1 = v. Suppose -2*l - 2*a + 6 = r, -3*a + 18 = 2*l + 2*a. Does l = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33040\/(-1274) - -26)*(14 + -7 - 21)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 2*b + 3*z, 74*z - 27 = 3*b - 76*z + 122*z - 18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - 0)*(25\/(-10) - -3). Suppose -3*y + 249 = -2*x, -2*y + i*x - 23 = -191. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000008505536 to seven dps.\nAnswer: 0.0000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.09042 to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.66837 minus -208.03498?\nAnswer: 186.36661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -4 - 2) + (-1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -2*r - 1, 151 = -3*k - 3*r + 157 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -20. Which is the closest to -2\/3? (a) n (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 divided by -4042?\nAnswer: 68\/2021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2827051 is divided by 1701?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(-20)*(-126)\/2142.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45326168.8*-4.\nAnswer: -181304675.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 105995784.\nAnswer: 317987352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (12\/18)\/(20\/(-6))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 - 5*q**2 + 79*q + q**2 - 10*q**2 as y*q + l*q**2 + z and give y.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20.9 + -21. Let l = 13 + -10. Suppose -s = -2*j + 4, l*s - 5*j + 15 = -2*s. What is the smallest value in 1\/4, s, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 4. Let q be w(-4). Suppose 0 = 3*o + 3 - q. What is the units digit of (o - -59)*8\/16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 33\/4, 24, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 49 in 2\/5, -1\/4, -0.09?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - 10. Let v = j + 32.6. Let t = -622 - -622.4. Which is the biggest value? (a) t (b) v (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {h: 1, l: 1, b: 2, i: 2, n: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -y**4\/4 + 3*y**3 - 9*y**2\/2 + 8*y - 1. Let g(c) = -2*c**2 + 2*c - 2. Give 9*g(l) + 2*v(l).\nAnswer: -2*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128)*-1)**2 + -5 + 0 + -4.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -100 - -51. Let d = w + 48.99999881. What is d rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-910)\/(-585)*(-12)\/14.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.574927665 rounded to four dps?\nAnswer: -2.5749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 210330 (base 7) to base 14\nAnswer: d287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 277\/3 + -91. Which is the third biggest value? (a) -3 (b) f (c) -0.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (0 + 3 - 22). Suppose 3*c - d = 5*i + 6, -5*i = 5. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3467827501752+-0.4\nAnswer: -3467827501752.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/103863 or 0?\nAnswer: -2\/103863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 91*u**2 - 367*u + 16811. Calculate f(89).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 6\/(-4) - (-195)\/(-30). Calculate the remainder when 41\/5 + (-1)\/5 is divided by o\/(-9)*(-18)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-15)*((-1330)\/6)\/19.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 14*j - 68. Let m be p(-8). Which is bigger: -176 or m?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8679, 36079, 81751, 145701, 227935, 328459, 447279?\n\"Answer: g**3 + 9130*g**2 + 3*g - 455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 4) to base 8\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -509 * -10980\nAnswer: 5588820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425)*-6*4.\nAnswer: -120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times 374\nAnswer: -336.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -16.8787514.\nAnswer: -16.8787514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123382, 246726, 370070, 493414?\nAnswer: 616758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -56, -108, -184, -290, -432, -616?\nAnswer: -848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 15100 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135 and 863670?\nAnswer: 7773030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261287443.\nAnswer: 149, 1753607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 419197\nAnswer: -2\/419197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-4)\/36*48\/(-16)*-4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*q + 4*o + 17, -o - 1 = q. Sort 33, -4, q, 2 in decreasing order.\nAnswer: 33, 2, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-20) + (2 - 1538\/(-4)). Suppose 2*p + n = 3*b, b + 2*p - 112 = -3*p. Let z = 81 + b. What is the greatest common divisor of z and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 26*r**2 - 14*r**2 - r**3 + 0 + 5 - r**3 + r**3. Calculate i(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 497.921 and -0.3.\nAnswer: 497.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-5 + (sqrt(128) - (1 + sqrt(128) + 4)))**2 + (((sqrt(128) - (1 + sqrt(128))) + sqrt(128))*2 + sqrt(128)*-2 + -2 + sqrt(128))**2)*3.\nAnswer: -192*sqrt(2) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 408, 350, 288, 222, 152, 78, 0?\n\"Answer: -2*i**2 - 52*i + 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.3006ug in milligrams?\nAnswer: 0.0383006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 12 = 2*j, -599*b + 603*b + 5*j = -6 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*t**4 + 3 - 1 - 2*t**3 - 34*t**4 + 2*t**4 - 2*t as u*t**3 + h + x*t**4 + g*t**2 + m*t and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -1731*i + 116. Let d(s) = -1730*s + 97. What is -6*d(y) + 5*l(y)?\nAnswer: 1725*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a - 1. Let f(y) = -y. Let d(z) = 14*f(z) + 4*q(z). Let l = 37 + -24. What is the lowest common multiple of 16 and d(l)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2895.9 + -6112.00092.\nAnswer: -9007.90092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**4 + 118*j**2 - 93*j - 1.\nAnswer: -12*j**2 + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 369*t**2 + 4696*t + 1863548. Calculate k(-368).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -20 times -561.31\nAnswer: 11226.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -76366320 <= -76366322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -11 + 8. Let y(q) = q**3 - 2*q**2 - 4*q + 6. Let n be y(x). Let l be -3 - ((-3)\/n + -5). What is the third biggest value in l, -0.4, 0.5, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 559102878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.042634915 rounded to four dps?\nAnswer: 1.0426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t + 81. Let h be k(-28). Let b = 33 + h. Solve -b*s = 4*l - 2, 0 = -9*l + 4*l + 2*s + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/7)*s*s**(-7\/4)\/s)\/(s\/(s*(s**(-26)\/s)\/s)*(s\/(((s\/((s\/(s\/(s\/s**(-25))))\/s*s))\/s*s)\/s))\/s))**35 assuming s is positive.\nAnswer: s**(-7765\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28155 and 39417?\nAnswer: 197085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 401*i + 9452. What is n(-25)?\nAnswer: -573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 7*z**2 - 14*z + 42. Let l be b(-9). Let g(p) be the second derivative of 0 - 1\/10*p**l + 0*p**2 + 7*p + 0*p**5 + 3\/4*p**4 - p**3. Factor g(j).\nAnswer: -3*j*(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 358022 divided by -14.\nAnswer: -25573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -2*q - 4*g - 52, -4*q = 4*g - 12. Suppose -3*f + q = -25. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183847?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -3 (c) -9 (d) -3\/8 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 857924?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2205\/1400 + (-24)\/64\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -376 + 632. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 177.013km?\nAnswer: 177013000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*n + 5. Let z = n + 2\/3. Let q = 0.1 + 0.9. Which is the nearest to q? (a) -3 (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -265.4 + 265.7. Put -4\/9, h, -9\/10 in decreasing order.\nAnswer: h, -4\/9, -9\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5 = o, -5*k + 4*k - 25 = 5*o. Let u = -2273 + 2275. What is the units digit of 255 - (u + k - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7f (base 16) to base 10\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 472749338*k**2 - 61187140*k wrt k.\nAnswer: 945498676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 374 - -1446?\nAnswer: 17ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**5\/5 + 104*q**4\/5 - 48*q**3\/5 - 280*q**2 + 2548*q\/5 - 240 = 0. What is q?\nAnswer: -4, 1, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 521\/25 - 21. Suppose 2*i - 3*u = -3*i - 45, 41 = -3*i - u. Let p be 44\/i + (-2)\/(-3). Put a, p, 2\/7 in ascending order.\nAnswer: p, a, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -30, -63, -120, -207, -330, -495, -708?\n\"Answer: -k**3 - 3*k**2 + k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 8:17 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/2)\/((-4)\/28*14\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/30 + (3549\/(-18))\/(-7). Let r = j + 20. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1681028 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 2, b: 4, d: 5}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 l when three letters picked without replacement from {x: 14, l: 5}.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*r = -178. Suppose -3*q + 4*a + 128 = 0, 0*q = -2*q - a + r. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + z**2 - z - 5. Calculate the remainder when 106 is divided by t(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -15, -2*v = -2*x - 2*x + 6. Suppose 376 = 2*g - 2*s, -g - g + 379 = -x*s. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 7648.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 15*k**2 - 56*k + 22. Let b be y(9). Solve -b*o - 17 = u, -6 = 3*o - o for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 + 8 - 7 + 2*h**3 + 6 to z*h**3 + s*h**2 + b*h + m and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3. Let n = z + -2. Let o be 0\/(-3 + (-4)\/n). Solve o*a - 8 = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yoyq when four letters picked without replacement from {y: 5, m: 2, c: 2, q: 1, o: 8}.\nAnswer: 1\/459","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 90*x**2 - 4211*x - 29579. What is l(53)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2691 = -5*u, 0*u + 1083 = 2*u - 3*z. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.64, -4, -321 in increasing order.\nAnswer: -321, -4, -0.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from uctuycuccytmjcuyyyyy.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1022121 (base 4) to base 3\nAnswer: -20112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 153.4283 litres?\nAnswer: 153428.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-17 + 1900\/80)*2\/(-120) and 37\/8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(119)*1 - 5*1*sqrt(119))\/(sqrt(84)\/(-1*sqrt(12)) + -3*sqrt(63)).\nAnswer: 11*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 + 9)\/(6\/8). Suppose 14 = 5*j - 0*j - x, -x + c = j. Suppose z - 58 = -h + 5*z, -54 = -h + j*z. Calculate the greatest common divisor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 divided by 7?\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0253049708867 - 0.75?\nAnswer: -0.7246950291133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-4*(((1 + sqrt(432))*5 - sqrt(432)) + 3))**2 + -2)*3*-6*3.\nAnswer: -6026994 - 663552*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**27*o**4*o**(2\/11)*((o**(-1)\/o)\/o**(-1))**(-6) assuming o is positive.\nAnswer: o**(409\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 12, p: 7}. What is prob of sequence ppg?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4963, 3, 3\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8735113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -43*u - 7. Let k(m) = 22*m + 4. Calculate 5*k(j) + 3*n(j).\nAnswer: -19*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -436 + 220 - 2*p + 220. Calculate the smallest common multiple of q(-2) and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 4, -0.72, -4\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -2*s - 2*i, -s + 37 = -4*i - 18. What is the remainder when 101 is divided by s?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qet when three letters picked without replacement from {t: 2, p: 13, e: 3, q: 2}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 84044.\nAnswer: 84044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17923943764+-0.0578\nAnswer: 17923943763.9422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a century?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/5, 2\/54955, 1\/6, 110 in increasing order.\nAnswer: 2\/54955, 1\/6, 11\/5, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 33. Let q be (-36)\/m*10\/4. Suppose 0 = -0*x + q*x + 3*z - 39, -35 = -3*x - 5*z. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 29*h**2 + 1. Let q be n(29). Let v be (4\/6)\/((-26)\/30 + q). Solve v*p - 4*b = -6 - 3, 0 = -5*p - 2*b - 33 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/1095411 and 74\/81?\nAnswer: 29576097","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**5\/60 - 3*c**4\/8 + 4*c**3 + 818*c**2. Calculate p(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24824, -99724, -224564, -399338, -624040, -898664, -1223204, -1597654?\n\"Answer: i**3 - 24976*i**2 + 21*i + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d + 32. Give r(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -270 (c) 1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 18*g - 1. Suppose -4*n = -j + 2, -5*n + 2*n = 0. Let q be u(j). Suppose -3*r = 4*l - 27, -5*l + q = 7*r - 3*r. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uaaa when four letters picked without replacement from aaaaaaauaaauaaaaau.\nAnswer: 91\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 150*a. Let n(o) = -54*o**2 + 27*o**2 + 29*o**2. Determine n(f(w)).\nAnswer: 45000*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*j + q, -4*j + 2 = -j - 2*q. Sort 3, j, 29 in decreasing order.\nAnswer: 29, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11670 * 1.\nAnswer: -11670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1137208*g - 6763973 wrt g?\nAnswer: 1137208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -125 and -124 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, p: 10, a: 2}. What is prob of picking 1 p and 3 k?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2041, 19\/7, -0.59, -5 in ascending order.\nAnswer: -2041, -5, -0.59, 19\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 < -3129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-314)\/(-4) - -2*3\/12?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/5, 22, 520?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 4*g + 6. Let x be d(-6). Let q(o) = -o**2 - 10*o - 12. Let f be q(x). Let u be (8\/6)\/(1\/3). What is the greatest common factor of f and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17978 by 2.\nAnswer: 8989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21377 and -40.89.\nAnswer: -874105.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 115 - 20. Let y = q - -25. What are the prime factors of 64 + 3\/(-3)*y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 7:51 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/2))\/d**9*((d**7\/d)\/d)\/(d*d**(-9)\/d) assuming d is positive.\nAnswer: d**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 16*b**3 - 10*b**2 - 10*b. Let p(t) = -t**3 + t**2 + t. Let n = -111 - -121. Determine n*p(r) + o(r).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -348, -364, -382, -402?\n\"Answer: -t**2 - 13*t - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 26398 = -5*x, 4*x + 14551 = 4*o - 11845. What is the thousands digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325 - 183 = 10*r - 58 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 - 56*a + 50*a + a**3 + 140*a.\nAnswer: -3*a**3 + 134*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(2 + 3 + sqrt(176) + 0))**2.\nAnswer: 640*sqrt(11) + 3216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - 7*p**2 + 7*p - 1. Let l be q(6). Calculate the common denominator of -29\/4 and l\/(-10) - (-1 + 2\/12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**3 - 16*m**2 + 10. Let k be (-2)\/13 + 12954\/(-1651). Determine a(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.033 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*q - 16 = -0, -6 = m - 2*q for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6700900 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 1597*k - 43937. What is y(-28)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/1 - (12 - 98)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232614 (base 7) in base 15?\nAnswer: c5c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (4 - 16 - -5 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 4, -0.3, -0.16 in decreasing order.\nAnswer: 4, -0.04, -0.16, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*r**2 + 33*r - 246*r**2 + 214*r**2.\nAnswer: 2*r**2 + 33*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*a**3*t**2 + 1346*a**3 + 10*a**2*t + 2*t**5 - 34141*t**2 + 3*t wrt t.\nAnswer: 10*a**3 + 40*t**3 - 68282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -100217\/223 or -449?\nAnswer: -100217\/223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 10:06 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 16*x + 13. Suppose -4*m - 4 - 13 = -3*g, -32 = -5*g + 3*m. Let h(v) = 5*v + 4. Give g*h(f) - 2*u(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12704 is divided by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -14878*k + 193433. What is s(13)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 213 and 213.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 + 69*x**2 - 48*x**3 - 47*x**2 - 24*x**2.\nAnswer: -48*x**3 - 2*x**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41850 and 6?\nAnswer: 41850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 151*q**2 + 0 + 5 - 5 + 132*q**2 + q**2 - 3*q**2 + q**2 + (2*q**2 + 2*q**2 - 2*q**2)*(2 - 2 + 2) + 2*q**2 - 3*q + 3*q to b + v*q + c*q**2 and give c.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11028438*g**4 - 574300325.\nAnswer: 44113752*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3 - 1207055*j + 27635767.\nAnswer: 6*j**2 - 1207055","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + 3*2\/(-3). Suppose 0 = n*x + i - 10, -3*i + 4 + 12 = 2*x. Suppose -2 = 2*l + 4*u, x*l + 17 = -0*l + u. Which is smaller: l or -6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.8 + 17. Which is the smallest value? (a) -3 (b) v (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -188, -151, -44, 163, 500, 997, 1684, 2591?\n\"Answer: 5*x**3 + 5*x**2 - 13*x - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 12 = -0*n - n, 3*n + 12 = 0. Solve -3*r = -11 - z for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20334 - -3?\nAnswer: -20331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 753*b**3*y - 8*b**3 + 62*b - 121192*y**2 + 36004 wrt y.\nAnswer: 753*b**3 - 242384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5 = -d - 3*g, -2*g = 4*d + 50. Let l be 192\/d*(-5)\/1. Suppose u = l + 22. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7*d**2. Let m(u) be the first derivative of -u**2\/2 - 4. Calculate b(m(w)).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -106764, -1\/3, 0.09, -5, 2 in ascending order.\nAnswer: -106764, -5, -1\/3, 0.09, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (-1 - -11) - (8 - 5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -78582.\nAnswer: -7858.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6281821099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 3*v + 27 + v + 35*v**3 to j + q*v + k*v**3 + s*v**2 and give k.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6)*(-3)\/3*3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 12, 5, -158 in increasing order.\nAnswer: -158, -3, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9460913, -9460927, -9460953, -9460997, -9461065, -9461163?\nAnswer: -9461297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7977841 millennia in decades?\nAnswer: 79.77841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 395 = -645. Suppose -4*j + 12 + 12 = 0. Suppose -j - 20 = -a. Calculate the greatest common divisor of o and a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d. Let o(h) = 106*h**2. Give o(j(l)).\nAnswer: 2650*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -140*l + 1056. Let i be r(8). Let y(x) = 14*x - 5. Let o be y(5). Let c = i + o. Calculate the highest common factor of 3 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/(-16)*(-1)\/(-33).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/30140 and -79\/8220.\nAnswer: 90420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m = 2*b - 39*m - 1304, -5*b + 2*m = -3296. Calculate the least common multiple of b and 7.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134 (base 5) to base 2\nAnswer: -101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*m**3 - 2*b*m**2 - 60544*m**3 + 15692*m**2 wrt m?\nAnswer: -12*b - 363264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4826, -3868, -2270, -32?\n\"Answer: 320*r**2 - 2*r - 5144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 163401 to the power of 1\/2, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 18 = k. Suppose 21 = -2*q + 3*l, 3*l + 24 = -3*q + 5*l. Let d = q + k. What is the remainder when 58 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 131\/8 + -30655\/1864. What is the common denominator of q and 33\/16?\nAnswer: 3728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (2*sqrt(5))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62117 - 8*q + 62117 + 6*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3878, -5219, -6560, -7901, -9242, -10583?\nAnswer: -11924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4*-6*(-7 + 8). Suppose -35 = -c + o*u, -c + 2*c + 2*u - 55 = 0. Calculate the remainder when c is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-5) - (-22692)\/20 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57827284?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 2:46 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -527.8 and 1.64.\nAnswer: -865.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.23 and 5793.726161.\nAnswer: 5793.496161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 586 + 102 = 2*t. Let m = 232 - t. Let v = -45 - m. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1882144290.\nAnswer: 2, 3, 5, 13, 17, 16699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12130471 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 361 - -162. List the prime factors of x.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -31*g + 6. Let n(m) be the second derivative of -5*m**3\/3 + m**2 - 5*m + 52. Calculate 2*c(b) - 7*n(b).\nAnswer: 8*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*w**6 + 3*w**2 - 90 + 90 wrt w?\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - m + 158 = 157, -5*z - 6*m + 13 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*4*(1*sqrt(1573)*6 + sqrt(1573)))**2.\nAnswer: -7399392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6467*o - 6467*o - 47*o**2 + (-2*o + 2 - 2)*(-3 + 3 - o) + 8*o**2 - 11*o**2 - 8*o**2.\nAnswer: -56*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/36 + 3\/2. Let h = 2747 + -2868.1. Let m = -121 - h. What is the fourth biggest value in m, t, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c - 1. Let j(t) = -5 - 2*t**2 + 0*t**2 + t**2 - 7*t. Let s be j(-5). Let z be (-2)\/s - (-9)\/(-15). Determine n(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 6.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 9828 = 3*d. Let n = d - 210. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42046453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1247501503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 44*z**3 + 50 - 24 - 25 - 45*z**3. Let j(m) = -5*m**3 - 2*m**2 + 24. Determine j(y) - 3*q(y).\nAnswer: -2*y**3 - 2*y**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23763 = -5*z - 4*r, 3*z - r + 14255 = 6*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8488609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -4923 equal to -39375\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -j**6\/3 - 23*j**5\/5 + 20*j**2 + 290. What is the second derivative of y(p) wrt p?\nAnswer: -40*p**3 - 276*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164438*l - 449 - 164444*l - 390)*(-3 + 0 + 5)*(-2 - l + 2).\nAnswer: 12*l**2 + 1678*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 11 - 23 = 0. Let m(a) = a - 1. Let q be m(3). Suppose -l*i = -q*i - 26. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-26))\/((-5)\/(-10))*-10.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 PM and 1:43 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1043 + 1055. Let a(u) = -28*u + 8. Let d be a(7). Let q = d - -269. Calculate the remainder when q is divided by p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -2) + 12\/(-4). Let r = 5 + n. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 10*h - 5. Let l(r) = 5*r - 2. Suppose -51 = -5*u + 4*z, -8*u + 9*u - 15 = 2*z. Give u*l(n) - 3*s(n).\nAnswer: 5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*n + 10 = -87*n + v, -4*n - v = -9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 43*r**3 - 1034*r**2 + 54*r - 105. Determine s(24).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 9 - 8)*((-1 + 0 - 1)*(3*m + 13 - 13) + (2*m + 0*m - 3*m)*(-2 + 2 + 2)) to q + d*m and give d.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4 = -2*t, -4*j + 44 = -t + 5*t. Let g be 44\/t - (-2)\/(-4). Solve 0*z + g*a = -5*z - 25, -4*z - 20 = 3*a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.50975mg in tonnes?\nAnswer: 0.00000000050975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 6*t**2 + 3*t + 2. Let b(w) = w**3 + w**2 + w. Let j(o) = -2*b(o) + d(o). Let r = 4 - 10. Let h be (3\/r)\/(1\/(-8)). Give j(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6998624488 divided by -4.\nAnswer: -1749656122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 5*t**3 - 21*t**2 + 12*t + 3. Is l(8) a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -34 - (-2)\/(-1*2). Let g be (-16)\/(-7) + 10\/x. Suppose -g*k + k + 4 = 0. What is the greatest common divisor of k and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -1563. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 - 96*n**3 + 92*n**2.\nAnswer: 4*n**2*(n - 23)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -800*a + 10350 = -1030*a for a.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2 + 2*r + 10. Let v(j) = 2*j**3 - 4*j**2 + 2*j. Let t be v(2). What is the tens digit of l(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n**2 + 2*n. Let w be q(2). Suppose 4*p - w - 36 = 0. What is the remainder when p is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 7\/(35\/(-10))) + 5. Let m be (a - (-56)\/(-12))*0\/2. Solve m = -4*v + 3*r, -4*v - 4*r - 28 = -0*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 37 (b) -2699 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1.275*-96.3\nAnswer: 122.7825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 4*u**4 + 224*u**3 - 32292*u**2 + 465472*u - 1788160 = 0.\nAnswer: -127, 8, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3)*-1 + -2 + (sqrt(21)\/sqrt(7))**2.\nAnswer: -sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -101. Let k = v + 52. Let r = k + 12.00001. Round r to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*a**2 + 25*a**2 + 95*a**2 + 44*a**2 - a.\nAnswer: 144*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 17862*g**2 + 426885*g - 444750.\nAnswer: 3*(g - 1)*(g + 25)*(g + 5930)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -145 + 145. Let n be (2 - (2 + -1))*6. Suppose -r + n = -g. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(15)\/sqrt(5) + 3).\nAnswer: -18 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*y**2 - 236883*y**3 + 236909*y**3 + 17*y**2 - y**2.\nAnswer: 26*y**3 + 53*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**3 - 2*r + 2*r - r**3 + 19*r**3.\nAnswer: 27*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*t - 90 = 0, 3*t = 5*o - t - 195. Let r be ((-2)\/(-6))\/(12\/432) - 4. Suppose -18 = -r*h + 78. Calculate the remainder when o is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177968.\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**7\/140 + 5*w**6\/48 + w**5\/20 - w**4\/3 - 2*w**2 - 140. Find k, given that q(k) = 0.\nAnswer: -8, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1438715 and 93515.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 126\/8 + ((-264)\/(-32) - 8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/8 - (-6)\/4) + -15. Is l greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35736 is divided by 50?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/(-35) - (-556)\/14. Let y = -27 + i. Let o be y\/(-3)*3\/(-1). Calculate the highest common factor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54\/4*16\/(-2). Let q be ((-9)\/10)\/(u\/45). What is the smallest value in -0.4, 4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -25. Find the third derivative of 3 + 2*x**2 + 2*x**2 - l*x**3 - 4 - 23*x**2 wrt x.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83 - 4*q**2 + 83 + 0*q**2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 4715.\nAnswer: -19\/4715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -23748*m**2 + 17*m + 36. Let z be x(-4). Round z to the nearest 10000.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -3\/10, -3\/5, -0.09, -1\/37?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 330837.\nAnswer: 14\/330837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -29. Suppose 2*g = c - 69, q*c - 3*c = 1. Let o be ((-2)\/(-5))\/((-1)\/g) + 2. Calculate the greatest common divisor of o and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msmm when four letters picked without replacement from msmmmmsmssms.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -133, -325, -593, -937?\n\"Answer: -38*g**2 - 2*g + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 1)*(-212*y**3 + 154*y**3 - 270*y**3) + 0*y**3 + 4*y**3 - 2*y**3 to v*y + h + m*y**3 + l*y**2 and give m.\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - h**2 + (-52 - 392 + 126)*(3 - 40*h + h**2 - 2 + 36*h).\nAnswer: -319*h**2 + 1272*h - 318","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**3\/2 - 3*h**2\/2 + h. Let c be r(-8). Let g be 4\/(-14) + 20\/c. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*3*(0 + -6 + 8). Find the common denominator of 143\/162 and n\/(-54)*(-402)\/(-60).\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 92\/90 + 6\/(-27). Let y = -111\/2 + 55. Which is the third biggest value? (a) -0.3 (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**3 - 368*a**2 + 724*a - 360 = 0. What is a?\nAnswer: 1, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-349)\/(-2) + (-2)\/(-4). Suppose 4*i - 213 - k = 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 j when three letters picked without replacement from tityjutttyii.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3998 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681758720 is divided by 211?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(68) + (sqrt(68) + (sqrt(68) - (sqrt(68) + 0 + 2 - sqrt(68))))**2.\nAnswer: -14*sqrt(17) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c. Let z(f) = -f. Let i(u) = -5*t(u) + 4*z(u). Let x(p) = -23*p**2. Determine i(x(r)).\nAnswer: -23*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42706 is divided by 38.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 7:26 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z**3 - 52*z**3 + 18*z**3 + 18*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**3 + 21*i**2 - 49*i + 314. What is b(7)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.5 * -0.22\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 8 = -2*k. Suppose 32 = -k*s + 3*x - 90, 0 = 5*s - 3*x + 287. Calculate the remainder when 15 is divided by 64\/10 - (-22)\/s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 20 - 8 = 0. Suppose 5*t = -2*q - 3*q + 255, -141 = -k*t + q. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2688 and 177308544?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 + 125187*t**2 + 1251945*t + 3129925.\nAnswer: -(t - 125197)*(t + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 2\/3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**5 + 1180*m**4 + 17375*m**3 + 31190*m**2 + 15000*m = 0.\nAnswer: -12, -1, 0, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 126 - 18. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 + o + 4. Let w(q) = 2*q**2 - 3. Let z(u) = -6*w(u) - 5*x(u). Let p(b) = -2*b - 17. Let h be p(-12). Suppose 4 = -h*t + 6*t. Give z(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(7*t + 6 - 6)*(88*t**2 - 5555 + 5555).\nAnswer: 1232*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.3 - -45.3. Let p = l - 40. Let t = -6.6 - -6.7. Which is the second smallest value? (a) p (b) 0 (c) t (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 - 749502*y\/7 + 107072.\nAnswer: -2*(y - 1)*(y + 374752)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5)*p)**(-23)*(p**(-6))**(-42) assuming p is positive.\nAnswer: p**344","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*m = -44 + 10, -5*m + 13 = 2*g. Is (254\/8 + g)\/((-2)\/(-40)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 876 + 284. Let z = 300 + g. Solve -3*h - 5*l - z = 0, h - 3*h - 4*l = 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 315972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 931 and 1482057.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.13 + 0.24. Let t = q + 0.03. Let k = 0.399994 - t. What is k rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -36 + (0 - -1 - 12).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 658367609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1355314*z**5 - 2853877*z?\nAnswer: -27106280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 3*s**2 + 89*s - 13. Let l be o(-10). Is l less than 398?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2269, 9172, 20683, 36802, 57529, 82864?\n\"Answer: 2304*z**2 - 9*z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -406056, -812099, -1218142?\n\"Answer: -406043*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y - 23. Let g be (-2 - 0)\/2 - (-49)\/(-7). Does 6 divide u(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*r**3 - r**3 + 8*r**3 + 9*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1747*v - 1746*v - 2*b = 15, v + 3*b = -20 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12967201*x**4\/8 + 3601*x**3\/2 + x**2\/2 = 0.\nAnswer: -2\/3601, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2855115 is divided by 855.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36048538 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 47471.38 millilitres?\nAnswer: 47.47138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 59*i**3\/4 - 4365*i**2\/8 - 9241*i\/8 - 39\/4.\nAnswer: (i - 39)*(i + 2)*(118*i + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9497772g?\nAnswer: 0.0000009497772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + c + 3. Let a(r) = 2*r**2 + 2. Suppose 29*f + 7 = 30*f + 2*d, 4*f + 26 = d. Calculate f*a(g) + 4*t(g).\nAnswer: -2*g**2 + 4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16975.\nAnswer: 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-609)\/(-6))\/(-7)*2. Let c = 32 + q. Find the first derivative of 8 - 2*v**3 + 7*v**c - 2*v**3 + 9*v**3 wrt v.\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/(-9))\/((-8)\/(-12)). Suppose 7*t - o = 5*t + 533, 3*t - p*o - 800 = 0. What are the prime factors of t?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 85192 by -21298.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m**2 - 7*m - 5. Let l(y) = -10*y**2 - 7*y - 5. Let r(g) = -4*l(g) + 5*t(g). Let n(i) = -i**3 - i**2 + 1. Let u(j) = n(j) + r(j). What is u(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5270\/(-170)*6\/62.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57257*r**3 + 0*r + 0*r - 57247*r**3.\nAnswer: 10*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 7:51 PM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46 - (-68 - -120) - (2 + 1 - (1 + 60)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000087998712 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*y = 2373, -c + 3*c + 1552 = -4*y. Let p = -784 - c. Solve -2*v = p + 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**2 - 5*i**2 + i**2 - 6*i**3 - 5*i**2 wrt i?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 889798371 to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 158 (base 16) to base 2\nAnswer: 101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5478177426 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -128 + 134. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2166211*a**3 + 2*a**2 - 183511*a wrt a.\nAnswer: 12997266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-42)*(-8)\/(-10)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55 + -603\/11. Sort p, 1, -1\/2 in increasing order.\nAnswer: -1\/2, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -3\/8*t**4 - 10*t**2 + 0*t + 0 + 0*t**3. Let h(r) = -2*r**2 + 2*r**2 - 2*r**2. Determine h(y(q)).\nAnswer: -162*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12684152 and -2.\nAnswer: 25368304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 397563 less than 0.4?\nAnswer: -397562.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -177, -360, -545, -732, -921, -1112?\n\"Answer: -h**2 - 180*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*14\/21 + 0. Solve -4*w + 5*h - 15 = 25, 0 = f*w - 5*h + 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**4\/6 - 58*a**3 + 5633*a**2 + 34322*a\/3 - 1444. Determine x so that k(x) = 0.\nAnswer: -1, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (3374\/(-10) + (-9)\/15). Let i = -320 + q. Calculate the remainder when i is divided by (-1)\/4 - 42\/(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 558.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-17)\/2)*(-20)\/(-10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c, 0 = 2*y - 5*c - 8 + 24 - 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*q - 2334 = -p, 9345 = 4*p - 5*q. Let j be 23\/(13386\/p) - 4. Suppose 2 = -u + 1. Which is bigger: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 15 = 6*i. Let f be 810 - 3*2\/6. Suppose -4*t + 592 = -4*h, 5*t + i*h + 62 - f = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*u + 3*u + 4*u)*(-4*u**2 - 14*u**2 - 14*u**2).\nAnswer: -160*u**3 + 64*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -489 + 811. What are the prime factors of a?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or 11\/9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 22.9. Let b be ((-25)\/(-10))\/((-1)\/2) - -6. Which is bigger: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.341 - -0.041. What is the nearest to 2 in 0, a, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -0.2 (c) -78.4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -119? (a) 0.2 (b) -3\/2 (c) -3 (d) 3835\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Round -1394009.858 to the nearest ten thousand.\nAnswer: -1390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -11*t - 15. Let o(q) = -5*q. Calculate k(w) - 2*o(w).\nAnswer: -w - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2345 = t - 892, -4*t + 4380 = 3*s. What is the greatest common factor of s and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 561*d + 8. Let f(u) = -2805*u - 42. What is 4*f(a) + 21*q(a)?\nAnswer: 561*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -921 + 11*k - 2*k - 6*k.\nAnswer: 3*k - 921","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m + 1. Let s(l) = -l - 24 + 24 + 2*l. What is i(k) - s(k)?\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -52\/7 (c) 2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 113*c**2 - 1474*c - 182. Let y be m(-98). Solve 44*j = 142 + y for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208842 (base 10) to base 6.\nAnswer: 4250510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 466429267\/18 - 25900969. Let t = -11774 + l. Find the common denominator of t and (-49)\/(-8)*6\/33.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 e when three letters picked without replacement from sssseeegseg.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 37, 0.2, -10\/9, 1 in descending order.\nAnswer: 37, 3, 1, 0.2, -10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**5\/20 - i**4\/3 + i**3\/2 + 3*i**2\/2 + 4*i. Is t(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (-58)\/15 - 1974\/(-45). Let h = o + 7. Calculate the smallest common multiple of 18 and h.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - m - 16 = 0, -3*k - 15 = k + 3*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 8 = 4*b, -118*b + 121*b + 1 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-121 + 82)) + -49\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203 + -34?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -385 + 438.6. Let f = h - 59. Let d = 5 + f. Which is the second biggest value? (a) d (b) -2\/13 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275) + 1 + sqrt(275) - (-4*sqrt(11) + 4).\nAnswer: -3 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 283 a factor of 81787?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2535\/(-26)*16\/(-5). Let k = y + -152. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157 divided by 3736943.\nAnswer: 157\/3736943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1640650 to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (1 + 1)*1. Suppose 5*i - d + 11 = d, -2*i + v*d - 2 = 0. Which is the second smallest value? (a) i (b) 1 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2462 and 30259211?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 3, k: 1, t: 2}. What is prob of picking 1 k and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/3)\/y)\/y**(-1\/6))\/((y\/(y**(2\/3)\/y))\/(y\/y**(-2\/19))) assuming y is positive.\nAnswer: y**(-197\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -243, -0.04, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.9568136 times 0.45\nAnswer: 0.43056612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.032 + -0.232. Sort -1\/2, n, 0.3, -0.4.\nAnswer: -1\/2, -0.4, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(-3*(sqrt(448)*1 + sqrt(448)) + 4)**2 + -2 + -1.\nAnswer: -48436 + 1152*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 19*w**2 + 22*w - 26. Determine s(18).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25620)\/(-336) - 91)*16\/4.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (50\/4)\/(40\/32). Let a(f) = -4 + 2 - 24*f - 1 + 16*f + j*f. Give a(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*w - 62*w + 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 2)*(-15*q**2 - 35*q**2 + 0*q**2) - 3*q**2 + 4*q**2 + 0*q**2 + (3*q - q - 3*q)*(3*q - 2*q - 2*q))*(16 - 54 - 27).\nAnswer: -3380*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -13*f**2 + f - 1. Let k be x(1). Let m = 15 + k. Determine g so that g**5 + 2\/3 + 4\/3*g**4 - 2*g**m - 4\/3*g**3 + 1\/3*g = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 - 10*q**2 + 19*q + 13 + 18*q**2 - 8*q**2 as p + h*q + l*q**2 and give p.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32, 57, 94, 143?\n\"Answer: 6*o**2 + 7*o + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + m + 3. Let r(n) = -n**3 + 39*n**2 - n + 40. Let g be r(39). What is the closest to -2 in g, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/7, 3, 2, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10086 + -10074. What is the greatest common divisor of 26352 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 592192?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 38 times -395955\nAnswer: -15046290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -34257.79 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvym when four letters picked without replacement from {a: 6, m: 5, n: 1, v: 1, y: 2, c: 5}?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.128 + -11.3. Let r = -0.572 + t. What is r rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -3*x**3 - 3*x**2 - 6*x + 7. Let l(g) = -g**3 + 1. Let d(p) = -2*l(p) + m(p). Let t be (-26)\/3 + (-4)\/(-6). Is d(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -212, -413, -614, -815, -1016?\n\"Answer: -201*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75558212 to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608 + 666 - 1554 = 14*x for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 57, 234, 529, 942, 1473, 2122, 2889?\n\"Answer: 59*q**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4308734 to 3 decimal places.\nAnswer: -1.431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 146*a**3*m - a**3 + 4*a*m**2 - 1000*m**2 - 2*m wrt a.\nAnswer: 438*a**2*m - 3*a**2 + 4*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4228.3877025036 - 1364319.6622973464. Let a = d - -1368548. Let x = -0.05 - a. Round x to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*f + 2*f. What is the remainder when f is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 5. Let a be 0 + i + -2 - 7. Let f = a + 35. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 23*-0.67267\nAnswer: -15.47141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/7 (b) -0.4 (c) 0.09 (d) 52 (e) 5 (f) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**2. Let p(u) = 3*u. Let b(m) = 6*m. Let j(s) = -6*b(s) + 11*p(s). Determine j(o(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*2 + 1 + (sqrt(98) + 0)*3 + -3*sqrt(98)*-3*-4)**2.\nAnswer: -434*sqrt(2) + 94179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 177*z**2 + 29. Calculate the remainder when t(-2) is divided by 229.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50592 = -1552*k - 29*k for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3) + -8 + (-36 - -31)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 260319*d. Let i(p) = -1681*p. What is i(c(b))?\nAnswer: -437596239*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3741, -7737, -11733, -15729, -19725, -23721?\n\"Answer: -3996*j + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -57*g - 16359. What is d(-288)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-two fifths of a century?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 198\/165 + 31906\/795. Solve k - 58\/3*t - 2\/3*t**2 = 0 for t.\nAnswer: -31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 - 13767*b + 13767*b - 458 to c + w*b**2 + s*b and give c.\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 9 - ((-7 - (-7 - 8)) + 1) - -49?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 10*z + 1. Let t be 0 + -6 + (20 - 11). Suppose 2*w + w = -t. What is p(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 102784.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 686*q + 458 = 681*q + 487, 12*l + 2*q - 38 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccccccccccjajcacacc. Give prob of sequence jacc.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/372 and 41\/16?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 309 + -308.634. Let u = g + 0.074. Let t = -0.24 + u. Which is the nearest to -1? (a) -0.4 (b) t (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -104, 2.\nAnswer: -104, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**3 + c**3 + 4*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1462 and 1893766.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 - 47. Let j be (18\/s)\/(2\/144). Round j to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 4 - 3)*(4 - l - 4)*(0 + 1 - 2*l - 3) to the form r*l + q*l**2 + v and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -855, -1830, -2831, -3870, -4959, -6110?\n\"Answer: -2*p**3 - p**2 - 958*p + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-7 - -1)) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -21 (c) -1\/4 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1963999*d**3 + 15390*d - 23.\nAnswer: 11783994*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-8) - (-134)\/8. Let k = x + 19. Is (k - 0) + (3 - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1135, 1127, 1123, 1123, 1127, 1135?\n\"Answer: 2*n**2 - 14*n + 1147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 154554950 a multiple of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5168514 by -4623.\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -1\/6 (c) -6\/97 (d) 5.3 (e) 3 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**4 + 72*v**3 - 400*v**2 + 864*v - 640 = 0 for v.\nAnswer: 2, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 82d4 + 4?\nAnswer: 82d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 19*v - 6. Suppose -22 - 2 = 8*z. Let a be i(z). Let o = -45 - a. Calculate the highest common factor of 24 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0.2. Let b = 0.13 - -0.27. Let r = b + t. Round r to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -59, 0.1, -0.1, -0.3, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-951 + 489 + 480)*(3*s - 6*s + 2*s) to b + z*s and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-3) + (-472)\/(-24). Suppose g*r = r + 3672. Does 54 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7142483 is divided by 1785618?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7.3863936983 - 0.5\nAnswer: 6.8863936983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3041763980?\nAnswer: 2, 5, 152088199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6848 - -6717. Which is smaller: -124 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 11*h**2 + 12*h - 4. Let p be y(10). Suppose 0*v - 24 = -4*v - 4*f, 4*f - p = -3*v. What is the units digit of (9\/(-6) + 2)\/(4\/v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1877.303358 nanoseconds?\nAnswer: 0.000000000003104006875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 90112571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 22, -1\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11434, 11545, 11838, 12403, 13330, 14709?\nAnswer: 16630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12816 and 40.\nAnswer: 64080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-2 + sqrt(1872)*1 + sqrt(1872) - ((sqrt(1872) - (sqrt(1872) + 1*sqrt(1872))) + -3)) + (sqrt(1872) + 1*sqrt(1872)*-5 - sqrt(1872))*6 + 0)**2.\nAnswer: -2592*sqrt(13) + 5458756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of g**5\/20 + 2*g**4\/3 + g**3\/6 + 3*g**2\/2 - 7*g. Let c be h(-7). Suppose -60 = -3*m + c. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0*r + 4*r)*(0 - 1 + 0) + (14 + 1 + 86)*(0*r + 4*r - 6*r) + r - 1 + 1.\nAnswer: -203*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222080 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7846 at most 86297\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000734703179 to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (30 - 64 - (-1 - 11)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1104 and 6960.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5 - (-2)\/((-8)\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -248856 (b) 0.1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1347.\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c - 11. Let g(y) = -y - 5. Suppose -6*a + 18 = -4*a. Let r(f) = a*g(f) - 4*b(f). Calculate r(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 193?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -35. Let y = -29\/4 - 1\/4. What is the second biggest value in w, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-7)\/(6\/4 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9191485 rounded to two decimal places?\nAnswer: -1.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 6 = 2*p + 2*j, -2*p + 5*j = 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2483004, -2482856, -2482710, -2482566, -2482424, -2482284?\n\"Answer: -t**2 + 151*t - 2483154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 14502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeoiieioeiieieie. Give prob of sequence eo.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 1.9944024?\nAnswer: 7.9776096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (2 + -1) - ((11 - 13) + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*h + g - 2, -h - 3*g - 17 = 0. Let c = h + 4. What is the highest common divisor of c and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a. Let j(d) = -28173*d**2. Calculate v(j(f)).\nAnswer: -56346*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -3*r + 114, -5*s + 5*r = -0*s - 90. Let c be (-6)\/s - 886\/(-14). Suppose -o - c = -2*o. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*m**5 - 51*m**4 - 18*m**3.\nAnswer: -3*m**3*(m + 3)*(5*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, r: 1, g: 1, e: 2, a: 1, m: 2}. Give prob of sequence mmae.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1167 divided by 3.\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -489 + 919\/2. Find the common denominator of 2261\/252 - (-8)\/(-36) and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2667216 to the power of 1\/2, to the nearest integer?\nAnswer: 1633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*t - 8*t + 63*t)*(-4 - 1 - 2).\nAnswer: -525*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -58 + 17?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 14) in base 13?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6703911*a*r**2 - 3*r**2 + 75*r - 1371 with respect to a.\nAnswer: -6703911*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13929, -4, 3.\nAnswer: -13929, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, u: 1, y: 1, o: 4, c: 1, a: 2}. What is prob of picking 1 u, 1 a, and 1 o?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6462111 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - o. Let v = 130 + -125. Let y(w) = -6*w**5 + 4*w**4 + 10*w**2 + 5*w + 3. Let l(t) = v*n(t) + y(t). What is the third derivative of l(f) wrt f?\nAnswer: -360*f**2 + 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 135.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(3\/2 - 36\/9). Suppose -2*a + a = -6. What is the highest common factor of m and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yxxzlzxxxxxyyz. What is prob of sequence yz?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jxjx when four letters picked without replacement from jxjxj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -32*n. Let m(b) = -122*b. Let q(y) = -5*m(y) + 20*v(y). Let p(h) = -9*h**2 - 2*h. Determine q(p(r)).\nAnswer: 270*r**2 + 60*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/4715297 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 226813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 16*u - 4. Let i be o(4). Let b = i + -39. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-5 - -5) - (-9 + 13) - -10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37038703991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**2\/f**(2\/9) assuming f is positive.\nAnswer: f**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 774378 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 11:06 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -0*q + 6. Let f = q + 3. What is the third biggest value in 4, -0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4 (b) -0.5 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 - 100211121222200?\nAnswer: -100211121222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -13\/20*q**4 + 0*q - 6\/25*q**5 - 42 - 2\/5*q**2 - 1\/30*q**6 - 4\/5*q**3. Factor x(f).\nAnswer: -f*(f + 1)**2*(f + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**3\/(a**(-1\/6)\/a)*(a\/a**(-4))**33 assuming a is positive.\nAnswer: a**(1015\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-56)\/(-20)) + -49 + (-84732)\/(-1740).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10102012222201 (base 3) to base 2\nAnswer: 110111011001010100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((-3*sqrt(245) + -1 - sqrt(245)) + 3)**2 - ((sqrt(245) - (4 + sqrt(245)*-2 - sqrt(245))) + 4 + (0 + sqrt(245))**2)).\nAnswer: -140*sqrt(5) + 3682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 176 = -4*w, 8*w - 3*w + 4*a = 247. Suppose 44 = r - w. Suppose -y + 4 = 0, -2*y + 50 = k + 11. What is the remainder when r is divided by k?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**3 + 5330*a**2 + 21255*a + 15930 = 0.\nAnswer: -1062, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -458727 or -458779?\nAnswer: -458727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2897 + 0.1103. Which is the second biggest value? (a) y (b) -9 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -6*l**3\/5 - 6*l**2 + 192*l\/5 - 216\/5 = 0.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -88028 (base 9) to base 12.\nAnswer: -29922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, t: 1, i: 2, y: 12, p: 1}. Give prob of sequence liy.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q - 2. Let h be i(2). What is the units digit of h + -2 - (-4 - 16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-63422)\/(-22) + (-110)\/(-605). Calculate the highest common divisor of 31 and p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 14*b**5\/5 - b**4\/2 - 19*b**3\/3 - 3*b + 58. What is the third derivative of q(c) wrt c?\nAnswer: 336*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1333403 (base 6) to base 15.\nAnswer: 171cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 54895 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djctcjjjtjcjhdjyj. Give prob of picking 1 d and 1 j.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 22455, 2\/5, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/1 + 10 + -4. Suppose -2*v = -d*v + 382. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-170738591)\/92)\/((-405)\/(-12)). Let a = -54988 - s. What is the common denominator of -47\/63 and a?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -172\/7*b**3 - 108\/7*b**2 + 746\/7*b + 2\/7*b**5 - 6\/7*b**4 - 66 = 0.\nAnswer: -7, -3, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3 + 1 + 4*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbdc when four letters picked without replacement from cbcd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 77*i**4\/24 + 51*i**2. Let l(h) be the second derivative of -h**4\/6 - 58*h. Determine l(d(a)).\nAnswer: -11858*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14744501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 451*i = 243*i - 145*i. Let n be 92\/(-657) + 2\/9. Are n and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/39 - 111\/(-39). Suppose 5*o - y = 7. Let m = 0 - 0.2. Which is the smallest value? (a) o (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/((-1)\/(-2)) + -2. Suppose l*o = o. Is 5 a factor of 2 - (o + 8\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 39.87738 micrometers?\nAnswer: 39877.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-66)\/(-87945)*-13\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 10*s**2 + 4*s + 39. Determine b(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161596 is divided by 642?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.160689023 rounded to 3 decimal places?\nAnswer: -0.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 3*a - 21794 + 21836, a - 25 = -3*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33750.24 nanometers?\nAnswer: 33.75024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 1 + 2 + sqrt(1377) + 0)*1)**2.\nAnswer: 72*sqrt(17) + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/(-52) + (-80)\/(-13). Let u be (c\/(-8))\/(1 - -2). Let w be 8\/(-2) - ((-136)\/(-3))\/(-17). Sort w, -2.4, u.\nAnswer: -2.4, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 70*q + 7004. What is r(60)?\nAnswer: -796","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 18*s**2 - 78*s - 20. Determine f(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62.3 - -59. Let a = n - -3. Let l = -0.4 - 0.1. What is the smallest value in a, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 155\/924 and 9\/385?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -52 - -3 - (-3 - -1). Suppose -184*p + 146*p + 2850 = 0. Let b = p + w. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y + 151 - 78 - 67 + 6*y**3 + y**2 as r*y**2 + g + b*y**3 + a*y and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -1)*(-32)\/48?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52061*i - 52028*i - 52063*i + 156138*i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 36*g**3 + 2*g + 1068. Let i(n) = 37*n**3 + 3*n + 1067. Let m(j) = -2*i(j) + 3*y(j). What is the derivative of m(z) wrt z?\nAnswer: 102*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14293\/3256 - 6\/407. Let w = -36455\/6 - -6093. Calculate the common denominator of g and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -2*c**2\/5 - 65363944*c\/5 = 0.\nAnswer: -32681972, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1538473537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7893.024 millilitres in litres?\nAnswer: 7.893024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Suppose t = m + 4*m - 90. Let q(r) = -3*r**3 - r**2 - 2*r - 2. What is the smallest common multiple of m and q(-2)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1017524 and 4699?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of k**4 + 1340*k**3 + 506016*k**2 + 1008016*k + 4713. Determine u, given that h(u) = 0.\nAnswer: -502, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 1. Let j(k) = 10*k**2 + 10. Let f(x) = -2*x**2 + 39*x - 179. Let d be f(12). Calculate d*j(l) - 12*p(l).\nAnswer: -2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282095?\nAnswer: 5, 11, 23, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 9*g + 4. Suppose -3*f + 5*w - 43 = 0, -f + 4*w - 18 - 8 = 0. Let a be h(f). Sort a, -3, -5 in decreasing order.\nAnswer: -3, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + -5 - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 5*y**2 - y - 5. Calculate u(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2071, -2080, -2113, -2176, -2275, -2416, -2605?\n\"Answer: -l**3 - 6*l**2 + 16*l - 2080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 370 * -1.2.\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1342567578?\nAnswer: 2, 3, 11, 20341933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 21*h**2 + 20*h - 25. Let y be -19 + 12\/(-4) + -1 + 1. What is the least common multiple of 9 and k(y)?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 9*f + 3. Let j be r(-9). Suppose -j*p + 19 = 4*v - 9*v, -4*v + p = 18. Which is the second smallest value? (a) v (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5*25\/(-75)*3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 3:41 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 8:52 PM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**3 - 46*g**2 - 102*g + 50. Let r be j(25). Solve 2*p + 27 = -3*p - n, 3*p - 3*n + 9 = r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(2) + -4 + sqrt(16)\/(sqrt(8) - (sqrt(128) + sqrt(8))) + sqrt(2)))**2.\nAnswer: 160*sqrt(2) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -2*c + 32, 5*d + 4*c + c - 106 = -56 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 409107, 818218, 1227333, 1636452?\nAnswer: 2045575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 24. Let t(j) = 2*j**3 - 6 + 10*j - 12*j**2 - j**3 + l. Let z be t(11). Solve -3*r + 16 = 4*h, z*r - 18 = -3*h + h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14070, -28474, -43206, -58260, -73630, -89310, -105294?\n\"Answer: f**3 - 170*f**2 - 13901*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2706 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f + 5*f - 3*f + (-5 + 5 + 1)*(2*f + 3*f - 4*f) - f + 2*f - 2*f + 3*f - f - f)*(-8*f**3 + 8*f**3 - 17*f**4) - 5*f**5 + 2*f**5 - 4*f**5.\nAnswer: 10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*f**2 - 4 + 4 - 4*f**2 + 0*f**2 + 2*f**2 + (-2 + 2 + 1)*(-f**2 + 2 - 2) - 2*f**2 + 0*f**2 + 0*f**2 - 3*f**2 + 2*f**2 + 3*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5 + 6)*0)\/(-1). Suppose -8*c + 8496 + 712 = w. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100100110101001 + 1111001?\nAnswer: -111100100100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 = -320*y + 1536 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -27. Suppose 5 + r = w. Calculate the remainder when 34 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31513, 31516, 31521, 31528, 31537, 31548?\nAnswer: 31561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + 51*u + 49*u + (4 + 2 - 5)*(-u - 3*u + 15*u) + 1 - u - 1.\nAnswer: 110*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -7. Suppose 4*v = -n + g, 12 = 3*v - 4*n + 2*n. Suppose -v*o - 3*o = -20. Solve 0 = -0*k + o*k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wbbbbbbwwbbbbb. What is prob of picking 4 b?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82840 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 q when two letters picked without replacement from kxhyhkhkyhyhqhxxs?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 2 + 1728 + 7. Suppose -59*s - r = -64*s. List the prime factors of s.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 30. Let u(x) = -x**3 - 5*x**2 + 6*x - 1. Let n be u(-7). Let r = -46 + n. Solve p*z = r*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 42*p**2 - 111*p**2 + 0 - 2)*(5*p + 3*p - p + (4*p - 2*p - 4*p)*(-2 + 7 - 1)) to t*p + n + f*p**3 + a*p**2 and give f.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + -11011?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17846388\/25 or -713856?\nAnswer: -713856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -136.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + -2 - (-24 + 23)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 33?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 - -77. Suppose -n + h = -4*c, 3*c + 3 = -0. Let w(o) = -o**3 + 3*o**2 + 4*o - 2. Give w(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (29\/(44 - 102))\/((0 + 1)\/82).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1169*c**2 - 196*c**5 + 381*c**2 - 2*c**6 - 2 + 1190*c**5 - 56*c**5 + 828*c**2 wrt c?\nAnswer: -240*c**3 + 56280*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48722, -48711, -48688, -48647, -48582, -48487?\nAnswer: -48356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 5:18 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220*o**3 - 32*o**2 - 121*o**2 + 109*o**2 - 50*o**2.\nAnswer: 220*o**3 - 94*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 7*d + 4. Let p be c(6). Let m = p + 3. Is 7 - (3 + (-2)\/m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2 - 2*t. Suppose -2*a = -4*a. Suppose a = 3*h + h + 8. Calculate u(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + a + 5*g + 1085 = 0, -4*a = g - 848. Let h be a\/(-60) + (-1)\/5. Let l = -83\/20 - h. What is the nearest to 1 in 1\/4, -3, l?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.95, -42, -1, -31 in decreasing order.\nAnswer: 5.95, -1, -31, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -169\/12 + 14. Let c = 18.27 - 18.67. Put -1\/2, c, n, 8 in descending order.\nAnswer: 8, n, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + a + 1310327 = 0. Suppose 3*u - 6903968 = -a. Suppose u = 5*x + 5714547. Round x to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 4*q**2 + 3*q. Let n be s(-2). Let w(f) = 1 - 92*f - 99*f + f**2 + f**n + 193*f. Suppose 3*g - 4*g = 2. What is w(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2143366.\nAnswer: -2143369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-904)\/(-10) + 4\/(-10). Suppose 0*o = 5*o - b. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m - 6*m + 7*m + 2 + (7 - 4 - 5)*(m + m - 3*m) to w*m + a and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -4, -95552, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248461112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.5, 0.22, -6, 34, 24?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 9*a - 22. Calculate the remainder when 43 is divided by g(5).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000823949 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((-4 - 2) + 8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-6*(5 + sqrt(1700) + -5 + (sqrt(1700) - (sqrt(1700) + 0)) + sqrt(1700) + -2))**2.\nAnswer: -2880*sqrt(17) + 244947","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-1)\/(-2)*-44*(-18)\/330?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -18. Suppose 4*o - 5*o = -2*a - 3, 0 = 5*o - w*a - 20. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 24542 and 2.\nAnswer: 24544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.2*4.05.\nAnswer: -12.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 + 990*h - 2983. Give i(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 124545, 124549, 124557, 124569, 124585, 124605, 124629?\n\"Answer: 2*w**2 - 2*w + 124545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1195056 rounded to 3 dps?\nAnswer: 1.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25884 is divided by 57.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 171.85 + -176. Let g = u + 4.15. Let y = 17 - 12. What is the third smallest value in y, -4, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93*m**3 - m**2 + 135 wrt m.\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1028409 - 13546. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 5:52 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 5*w + 14. Let x(t) = -41*t + 10. Let v(a) = -191*a + 47. Let u(s) = 3*v(s) - 14*x(s). Determine i(b) - 5*u(b).\nAnswer: -b**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -12. Let d = g - -20. Suppose 3*f - d + 9 = 0. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 313055 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 1316.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**5 + a**5 + a**5)*(243 - 502 + 246) - 6*a**4 + 4*a**5 + 6*a**4 + (2*a - 2*a - a**4)*(-a + 2 - 2) - a + a + 4*a**5.\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/429?\nAnswer: -2\/429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (300\/(-16))\/((-6)\/(-16))*(-2841)\/4735?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 32. Let p(v) = v**2 + 4*v - 5. What is the tens digit of p(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*k - 12 = -71*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 25288600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*z + 0)*(-157 + 101 + 122)*(4*z + z**2 - 4*z) as t + l*z + u*z**2 + p*z**3 and give p.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-6))\/(1 + 6\/(-9)) + (-50505)\/(-4620).\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31 and 2 - -9 - ((-12)\/(-3) + -1)?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 55 = 20. Suppose -5*x - 4*b + 112 + 203 = 0, 0 = 5*b - y. What is the remainder when x is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**5\/5 + 6*l**4 - 34*l**3\/3 - 38*l. Determine g so that d(g) = 0.\nAnswer: 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245 and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1883?\nAnswer: 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/25 + (-44862)\/(-150).\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-10))\/1)\/(9\/(-15)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, c: 1, i: 3}. What is prob of sequence iikk?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 13240*s - 13496. Give a(1).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 60.72982 and 50.\nAnswer: 3036.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 PM and 6:12 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1728 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/5)\/f*f*f\/(f**(3\/2)*f*f*f))\/(f*f**(1\/6)*f\/((f**(-2\/15)*f)\/f)))\/((f\/f**(-3\/2))\/(f**(-5)\/f)*(f*f\/(f**(-1\/3)*f))**(4\/5)) assuming f is positive.\nAnswer: f**(-473\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 1. Let y(j) = 2*j - 6. Let b(i) = -5*r(i) + y(i). Calculate b(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15850 + 0.57534.\nAnswer: -15849.42466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 2*h - 3*h)*(0 + 0 + h**2) - 167*h**3 + 755 - 755.\nAnswer: -169*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -192874, -192877, -192882, -192889, -192898, -192909?\n\"Answer: -j**2 - 192873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4772\/91 + 678\/13. What is the closest to z in 0, -0.1, -2, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 414 - -12231?\nAnswer: 13200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mvqqv. What is prob of sequence vqmv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148743 is divided by 148701.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 149172 and 10398732.\nAnswer: 4812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 915 - 3040 + 62*h + 123*h + 1200 + 925.\nAnswer: 185*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 < 125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 - 8*a - 4. Let z be f(9). Suppose -3*q = 5*c + 55, -q + z*c - 45 = q. Let d = 72 + q. Calculate the remainder when d is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 f when two letters picked without replacement from svqqwusuquvquwufsvqv.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 10*u**2 - 7*u**2 + 2*u**2 + 3*u**2. Let c(q) = 2*q**2. Determine c(n(i)).\nAnswer: 128*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(32) + sqrt(288))*-2 - (-1 + -1 + sqrt(162))**2*6) + 3.\nAnswer: -993 + 152*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4 - 2 = 0. Let r(q) = 9*q**2 - 7*q - 8. What is the units digit of r(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/2286 and 38\/27.\nAnswer: 6858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 472 divided by 4.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-28)\/20)\/((-60)\/(-75)))\/(186\/(-744))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*k + 26 = -0*k, 0 = 2*s + 2*k - 14. Let p be (-3 + 0 + 2)*-3. Suppose 12*t + p = 13*t. Solve t*z = z + s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24044.\nAnswer: 2, 6011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/9881975 and 56\/2075.\nAnswer: 820203925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (-21)\/2)\/(-6) - -1. What is the closest to 0.1 in z, -1\/5, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -2\/7 (c) -5 (d) 4637 (e) 0.3 (f) -2\/19 (g) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-156)\/5)\/((-99)\/(-330))*(-2)\/16. Solve 0 = 7*n - 6*n + 1, -2*v + 3*n + b = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -113*u*z**3 + 961*z**3 wrt u?\nAnswer: -113*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + i - 14, -2*c + 4 = -4*i + 6*i. Determine x, given that 5*x**3 - 2*x**2 - x**c - 29*x**2 + 28*x - x**2 = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378671, 757374, 1136077, 1514780?\nAnswer: 1893483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (64 + 34612\/(-544))\/(-1 - -4)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1675004 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 + 6*c**3 + 0*c + 0*c**3 - 5*c**2 + c. Suppose -18*s + 30*s = 48. Suppose 100*x - s = 96*x. Calculate p(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313 is divided by 202?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818446 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5563, -2\/19, -3, -1\/4 in ascending order.\nAnswer: -3, -1\/4, -2\/19, 2\/5563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 1657410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8 = -5*b, 213*z = 3*b + 209*z - 36. Solve -3*y - b*k = -10, 6*k - 22 = y + k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*j*n**2*s - 7*j*n - 6212*n**2*s - 792*n**2 with respect to s.\nAnswer: -6*j*n**2 - 6212*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23660 and 4394572?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (2 + 2*((sqrt(1900) - (sqrt(1900) - (2*sqrt(1900) + -3))) + sqrt(1900)) - 2*-5*(-1*sqrt(1900) + sqrt(1900))*1)**2.\nAnswer: -480*sqrt(19) + 68413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -32*o**4 - 4 + o + 27*o**4 - o wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -56? (a) 4 (b) 1178 (c) -4 (d) -3 (e) 2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4393 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2*r - 4*r)*(8195*r + 8160*r - 935*r).\nAnswer: -15420*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6 = 3*h. Let s be -4 + 3 + (-7)\/h. Which is the third smallest value? (a) s (b) -0.1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144647.\nAnswer: 19, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 14. Let l be c(11). Solve -3*n + 4*n + l = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 f when three letters picked without replacement from ssqpssfsbfqqsssfsqsq.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.4, 2\/3, 0, -27.2, 17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180616?\nAnswer: 2, 107, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 130541684 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16\/65 - 2\/13. Put p, -12\/17, -1\/8 in ascending order.\nAnswer: -12\/17, p, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7831 is divided by 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 29\/9 - ((-16)\/(-9))\/8. Let z(r) be the first derivative of 0*r**2 - 5\/3*r**3 + y*r + 3 - 1\/4*r**4. What is z(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2 - 2 + 6 - 4*k. Suppose -3*b = -3*w - 6, 3*b - 6 = 4*w + 4. Calculate the smallest common multiple of 9 and u(b).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -83 + 146. Let x = 97 - k. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*y**5 + 2963*y**4 - 4*y**3 + 9799896*y**2 - y - 5 wrt y?\nAnswer: -540*y**2 + 71112*y - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -0.5 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -8*v + 7*v - 220, -160 = 4*i + 4*v. Let j = 396 + i. Is 20 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138 by -2.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -24?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 7 = -7 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1584, -3155, -4722, -6285?\nAnswer: -7844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 90.51696 to 1 decimal place.\nAnswer: 90.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n - 22. Let y(l) = l - 25. Determine -6*v(h) + 5*y(h).\nAnswer: 17*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.12445 greater than -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -935220.2 to the nearest one thousand.\nAnswer: -935000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - ((-1 - (0 + -20)) + (5683 - 5592)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -21100222010 (base 3) in base 9?\nAnswer: -240863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3488917.\nAnswer: 3488917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(192))*2)**2.\nAnswer: -192*sqrt(3) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5165983?\nAnswer: 5165983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*s + 4*o + 122, 29 = 2*s + 5*o. Let j = 3246 - 3233. What is the remainder when s is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4131 - 3977 = 14*m. Let j(s) = -5*s - 11. What is the remainder when j(-8) is divided by m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4547 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 1408.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.069 to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 11367664 and 80?\nAnswer: 56838320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 42 + 0 - (13240 + -13179)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9280 - -9295. Solve c = -s*c - 96 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -745 (b) 5 (c) -4\/7 (d) 1\/4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486441001?\nAnswer: 14717, 33053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594*z = 44*z + 17600 for z.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twelve sevenths of a week?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (-3 - (-16)\/4). Suppose -t*x + 2*m = -30, -4*m = 2*x + 1 + 9. Suppose -171 = -x*s + 249. Is s a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19873 + 1410981\/71. Sort o, 0.4, -4, -1.\nAnswer: -4, -1, o, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 95 + -44. Let n = i - 83.5. Let g = 32 + n. Sort -0.2, g, -2\/23 in ascending order.\nAnswer: g, -0.2, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52722 + 50128.1. Round a to the nearest one hundred.\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2715 (base 8) to base 16\nAnswer: 5cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -7d9?\nAnswer: 7db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/13 (b) -7053 (c) 0.1 (d) 5 (e) -30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 65, -10, -145, -358?\nAnswer: -667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 657218700670 + 0.1.\nAnswer: 657218700670.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6)*3 + -16. Let o be 86\/j - (-4)\/(-18). Put 1\/2, o, -3\/2, 1\/3 in ascending order.\nAnswer: o, -3\/2, 1\/3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1279, -5094, -11459, -20380, -31863, -45914, -62539, -81744?\n\"Answer: -b**3 - 1269*b**2 - b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 453*n - 34. Let d(f) = 160*f - 12. Let r(q) = 17*d(q) - 6*h(q). Let k(w) = -4121*w**2 - w. What is k(r(l))?\nAnswer: -16484*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7)*g**(-3\/2)*g*g**(-13)*g**(-2\/13) assuming g is positive.\nAnswer: g**(-537\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9.3432 + -9.3632. Let c = 8 - 8. Suppose -4*z = -3*z - 2. Sort c, -5, v, z.\nAnswer: -5, v, c, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**4\/12 + f**3\/2 - f**2\/2 + 3*f. Is 3 a factor of j(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by -147070.\nAnswer: 1\/6685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1411 and 830.\nAnswer: 14110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 162 = p. Suppose 3*i - 76 = -16*i. What is the remainder when p is divided by 30\/i*(-120)\/(-45)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(700)*1.\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*(-1 + sqrt(125)) + 2*sqrt(125)*2)**2.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4831406.\nAnswer: 2, 2415703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {m: 2, u: 1, a: 4}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14042.99 millilitres in litres?\nAnswer: 14.04299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 5*h + 65, -2*d - 17 + 3 = -h. Is (-1700865)\/(-189) - (-1 - d\/7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -17*i**5\/12 - 25*i**4\/24 - 25*i**3\/6 + i**2 + 15. Let y(t) = 7*t**2 + 2*t + 2. Calculate 4*s(c) + 50*y(c).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -5*n**2 - 2*n + 1. Let t be k(2). Let u = t + 47. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.11 - -0.05. Is x smaller than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**4\/4 + 7*r**3\/3 - r**2 + 7*r - 112. Calculate z(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssj. What is prob of sequence js?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -5*p**2 + 2 - 3 - 1 - p**3. Let s be y(-5). Put 5, s, 2\/11 in descending order.\nAnswer: 5, 2\/11, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18.411 + 24804.3\nAnswer: 24822.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 95 + 20 - 4163*p + 24 + 29 as k*p + v and give k.\nAnswer: -4163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -21. What is the remainder when ((-3)\/6 + 0)\/((-7)\/518) is divided by 2*-3*p\/(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 534167064 by -140904.\nAnswer: -3791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-81)\/4*(-56)\/(-21). Let r = 58 + z. Let l be (-68)\/(-7) + 4\/14. Calculate the highest common factor of l and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - 2*v - 26. What is the lowest common multiple of 18 and m(-4)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -30*h - 594. Determine m(-21).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 199048127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1589*k**3 + 119177*k**2 - 149*k - 82. Give p(75).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 76*a - 504. What is the thousands digit of y(62)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 12. Let j be ((-3)\/(-2))\/(s\/(-10)). Let q(c) = 1. Let k(y) = -2*y**3 - 3. What is j*q(a) - k(a)?\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 86, 323, 706, 1229, 1886, 2671?\n\"Answer: -q**3 + 79*q**2 + 7*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 <= 2210\/151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x - 3\/8*x**4 - 2 + 3\/4*x**2 - 1\/10*x**5 - 1\/6*x**3. Factor d(s).\nAnswer: -(s - 1)*(s + 1)**2*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.2 - 27.2. Which is the biggest value? (a) -3 (b) -1 (c) h (d) 43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brb when three letters picked without replacement from rgdrbpbdrb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.741123 rounded to two dps?\nAnswer: 5.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1719?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 11:11 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19 - (24 - (-5)\/(-5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2929 is divided by 75.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7627049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + m = -3*r - 4, m = 3*r - 8. Let b be r*1*(12 + -13). Let d(f) = 7*f - 3*f + f**3 + 4 - 3 + 5*f**2 - 2. What is d(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 224 + -434. Let m = -209.901 - q. Let b = m + 10.201. What is b rounded to 0 decimal places?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 135105497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(-41)*v*v)*v\/(v\/v**17)*v*v\/v**(-4\/5)*(v*v**15)\/v assuming v is positive.\nAnswer: v**(374\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -22 (b) 1.2 (c) -4 (d) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13195519, -26391030, -39586541, -52782052, -65977563, -79173074?\nAnswer: -92368585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -5*w**3 - 6*w**2 + 5*w + 4. Let g = -3 + 2. Let i(a) = -a**3 + a. Let q(s) = g*d(s) + 6*i(s). Let n be q(6). Solve 0 = 4*p + 10 - n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from {p: 5, h: 5, l: 1, u: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 2202110?\nAnswer: 2202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g**3 + 2*g**3 - 4*g**3)*(3 - 4 - 2)*(0 - 2*g + 0).\nAnswer: 18*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 95230727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -873ab7 - 8?\nAnswer: -873b03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.29 and -5.4?\nAnswer: 1.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 - 25*b + 3. Let l(m) = m**2 + 1. Determine k(i) - l(i).\nAnswer: i**2 - 25*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 162316332 (base 7) in base 2?\nAnswer: 101001111100101010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -283*y - 1131. Let q be k(-4). Is q > 26\/527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/3 - (-7)\/(-21). Suppose 29 = -4*x + 2*u - 53, -3*x - 75 = k*u. Calculate the remainder when 0\/(-2 - -1) - 1364\/x is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 3:57 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 1032*l - 204 = 1036*l, -3*l - 3*l + 284 = -6*w - l for w.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -19*v**3 + v**2 + v + 1. Let i be z(-1). Let w be 3*(-6)\/(-9) + 1. What is the derivative of i*y**w - 1 + 5 + 4 + 7*y**3 wrt y?\nAnswer: 81*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 383361923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7134 + 7129. What is the nearest to 1.3 in 2\/13, -2\/7, -0.2, a?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 515 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/s**(-16))*s*(s**(-14)\/s*s*s*s)\/s*s*s*s\/(s\/s**(-9))*s*s**(-4\/9)\/s*s assuming s is positive.\nAnswer: s**(-310\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 641145387 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 244*(10\/(-4) + 3) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 + -35. Suppose -j = -5*t, -t + 41 + 10 = z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -4006861728225\nAnswer: -4006861728224.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 1055789903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (5 - 0)) + (0 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -38, -1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 12, -2*b + 3*y - 17 = -2*y. Let u(j) = -j + 6. Let d be u(3). Let h = b + d. Calculate the highest common factor of 14 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*d*h*q**2 - 798*d*h*v - 93*d*q*v + h*q**2*v + 6*q**2*v wrt h?\nAnswer: 2*d*q**2 - 798*d*v + q**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313836?\nAnswer: 2, 3, 26153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -17*c**2. Let s(l) be the second derivative of 0 + 0*l**2 - 1\/2*l**3 - 18*l. Calculate s(o(d)).\nAnswer: 51*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -25806070, -2, 0.4 in decreasing order.\nAnswer: 3\/2, 0.4, -2, -25806070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2171460101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)*h\/((h*h*h\/(h*h**(2\/3))*h*h)\/h*h*h))**(-42\/13) assuming h is positive.\nAnswer: h**(224\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1068 is divided by 83.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**5\/4 + 450*n**4 + 359997*n**3\/4 + 5999550*n**2 - 90000*n - 6000000 = 0.\nAnswer: -200, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -999b?\nAnswer: 99a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22471 + 22467. Let q = -3 + 5. What is the nearest to y in -3, 4, q, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3502, 7005, 10506, 14005, 17502?\nAnswer: 20997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**6\/180 + j**5\/20 - j**4\/6 + j**3\/3 + j**2. Let t(g) be the first derivative of h(g). Determine l so that t(l) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6 + (-11)\/(-3). Let j(x) = x + 4. Let w(r) = r + 4. Let h(p) = l*w(p) - 2*j(p). Let d = 68 + -74. What is h(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 2 - 1)*(4 + 0 - 3) + 4 - 3 + 0)*(5 - 5 + 4*p) to the form i + o*p and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433661813 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 359 + -1874.34441.\nAnswer: -1515.34441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30\/139 in 0.1, -2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -1008*o + 228. Let q(n) = n + 21. What is -c(m) + 11*q(m)?\nAnswer: 1019*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1288 divided by 4\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 4:48 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -528.2942 times 0.4\nAnswer: -211.31768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 11, 1\/3, 265?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1645643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34\/11*n - 2\/11*n**4 - 12\/11 - 34\/11*n**2 + 14\/11*n**3 = 0. What is n?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/12)\/(2\/24). Let m(r) = r**2 - 3*r + 4. Let h be m(n). Solve h*y = f + 15, -5*f - 3*y = -5*y + 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -19717\/362 and -55 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 574558247?\nAnswer: 31, 18534137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((6*q - 4*q + 3*q)*(2 - 2 + 2) + 0 + q + 0)*(-q - q - q) to f*q + d + u*q**2 and give u.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*k**3 - 145*k - 141*k + 273*k as x*k + z*k**3 + j*k**2 + l and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 482935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 564.1392um to centimeters.\nAnswer: 0.05641392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 20*b - 15*b. Find the common denominator of -23\/9 and (17\/b)\/(12\/70).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 149492712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(3 + 1*sqrt(637)*-1*2) + 1 + -1.\nAnswer: -14 + 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 = -5*m - 7*m. Let z = m + -11. Solve -x + 15 = -z*n, -21 = -0*x - 3*x + 4*n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 5*x = -63, x = 3*q - 131 - 58. Let z = q + -31. Solve 3*c + 3 = 5*v + 11, -5*c - z = 3*v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*x + 2 + 4 - 6 to the form r + i*x and give i.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 7:07 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 1 + 5*t - t**2 - 4*t. Let m(i) = i**2 - 2*i + 1. Calculate 5*b(s) + 4*m(s).\nAnswer: -s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxx. What is prob of sequence xx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3579 or -3575?\nAnswer: -3579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 437\/5 - 90. Let r = -79\/40 - j. Suppose 14 = -4*k + 2*s - 6, -2*k - s - 18 = 0. Calculate the common denominator of r and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 1187*s**8\/168 + 247*s**5\/60 + s**3\/2 - 53*s**2 + 11*s. Find the third derivative of w(p) wrt p.\nAnswer: 142440*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 1:06 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.2 + 2. Let k = 79 + -239\/3. Which is the smallest value? (a) y (b) 0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, d: 4, p: 3, m: 3, a: 6, s: 2}. Give prob of sequence sp.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*s - 4*w + 5, 21 = 5*s - w. Let v(g) = -g**3 - g**2 + 4*g + 4. Let p be v(-2). Put p, s, -3 in descending order.\nAnswer: s, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 4*q**3 - 13*q**2 - 16*q + 80. Let m be k(5). Solve -m*j = -172*j + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2*(d\/(d\/d**(-4\/9)))\/d)\/(d**(-4\/7)*((d**(-2\/3)\/d)\/d)\/d) assuming d is positive.\nAnswer: d**(302\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12684155\/4452 - -19942\/7. Calculate the common denominator of h and 38\/371.\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -111336?\nAnswer: 111343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 890*c + 51341 = -1435*c - 18409 for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*b + 84*b + 54*b - 29*b + 6*b.\nAnswer: 183*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*l + 107 + 116*l - 206 - 5204*l**5 + 107 wrt l.\nAnswer: -104080*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 917 divide 1891771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 15) to base 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 3)*(-4*b**3 + b**3 + b**3) + b**3 + b**3 - 4*b**3 - 2*b**3 + 12*b**3 + 0*b**3 + (b**2 + 2*b**2 - b**2)*(2*b - 2*b - b) + 0*b**3 + 0*b**3 - b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39 and 1937.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -6. Suppose 28 = -j*z + 156. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -481 - -479. Let b = 0.6 + -0.1. Put c, 2\/7, b in decreasing order.\nAnswer: b, 2\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16635, 16911, 17201, 17511, 17847, 18215, 18621?\n\"Answer: n**3 + n**2 + 266*n + 16367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 12:57 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/((-204)\/(-87)) + (-2 - -3). Is -2 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83006411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 8 = 4*j - 3*p, 0 = j + p + 2. Let d = -28.4 + 27.9. Which is the second biggest value? (a) j (b) 0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -119, 651, 2271, 4735, 8037, 12171?\n\"Answer: -g**3 + 431*g**2 - 516*g - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.29 + 0.11. Which is the second smallest value? (a) v (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 3883295856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-6))\/((-1)\/12). Suppose -23 + 3 = -4*w, -3*w = -3*j - 12. Put r, -1, j in decreasing order.\nAnswer: r, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 + 74. Suppose 9*z = l*z + 220. What is the greatest common factor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -15, -8, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -593*c - 1. Is x(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(300) + -3 + (3*sqrt(48))\/sqrt(4).\nAnswer: -3 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + sqrt(3888) + 5 + -2 - (sqrt(3888) - (1 + -4*sqrt(3888)) - (sqrt(3888) + 2 + 4)))**2.\nAnswer: -1296*sqrt(3) + 35028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-9 - -6 - 2).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence or when two letters picked without replacement from rferrrco.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 1134146151?\nAnswer: 1134146152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -101*y**2 - 122. Let t(h) = -102*h**2 - 124. Let b(a) = 2*t(a) - 3*v(a). What is the first derivative of b(q) wrt q?\nAnswer: 198*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 43?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 12103525004?\nAnswer: 12103525012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*b - 33*b - 9 = 0. Suppose 4*x = 4, b*c - 10916 - 8205 = -2*x. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1808 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.07 (b) -4\/41 (c) 4 (d) -0.5 (e) 1 (f) -13.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16363768 by 8732.\nAnswer: 1874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 131, 0, 1.\nAnswer: 0, 1, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 83. Suppose -2*g = 4*r - 48, r = 4*g - 3*g - 21. Let j = g + t. What is the remainder when j is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -122 + 1219\/10. Which is the closest to 0? (a) 1 (b) 0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, -6, -2\/5, 3 in increasing order.\nAnswer: -6, -2\/5, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 479 - 0.04599.\nAnswer: 478.95401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 3*n**2 - 1. Calculate v(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 6*q = 24. Suppose -3*c + 4*l - q = 0, -2*c + 4*l - 8 = -0*c. Solve 0 = c*g - g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 19*m + 19. Let k(t) = 101*t + 94. Let f(z) = -11*c(z) + 2*k(z). Calculate f(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15828\/41 + 386. Is -1 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 13*s + 110. Is 17 a factor of z(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 h, and 2 z when four letters picked without replacement from {h: 1, e: 3, z: 3, a: 3}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498572 is divided by 52.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*l = -42*l - 26*l + 54810. What is the highest common divisor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21254*w*y**3 + 2*w*y - 2624*y**2 + 2*y wrt y?\nAnswer: -127524*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**3 - 8216*r**2 - 40644*r + 688464 = 0. What is r?\nAnswer: -2049, -12, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*0 - (-5)\/805*7.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -0.4, 6.512, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.070087 + 3.\nAnswer: 3.070087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15 (b) -1457.5 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/2)\/((-20)\/(-160))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 633*z - 167 = 647*z, o + o - 3*z - 45 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2359 - -0.0359. What is the smallest value in w, 4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g = -h + 20, -g - 23 = -4*h. Suppose 0 = h*u - 10. Solve -u*f - 8 = -2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1232 is divided by 570?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 6*d - y - 17, 2*d + 5*y = 0. Suppose d*g - 32 = 23. Solve 4*b = 3*f - g, b + 2*b = 5*f - 22 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/3, 1\/7, -50 in ascending order.\nAnswer: -50, -7\/3, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3. Let i(u) = u**3 + 6*u**2 - 8. Let n(x) = -i(x) - p(x). Factor n(y).\nAnswer: -2*(y - 1)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30782250 and 11250.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 72 - -21867?\nAnswer: 22050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -74*x. Let q be k(-9). Let p = 3 + q. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 266?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-57)\/(-21) + 2\/7. Suppose -2*f + 4*c - 7 = -95, f = -s*c + 49. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 + 44?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 21*p**3 - p**2 + 4*p + 4. Give x(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l + 10. Let q(j) = -4*j + 8. Let o(t) = t - 2. What is l*q(p) - 9*o(p)?\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*i*q**2*w + 3355263*i*w**2 + 5*q**2*w**2 - 485*q**2*w + 4*q*w**2 + 12 with respect to i.\nAnswer: 5*q**2*w + 3355263*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3558.5 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 6, -8, -3, -113233 in ascending order.\nAnswer: -113233, -8, -5, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 173613 + -101106. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6, -35, -126, -309, -614?\n\"Answer: -5*n**3 - n**2 + 9*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36586920 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 5*v**2 + 2*v**2 - 2*v + v**2)*(743 - 121 + 833)*(-v + v + 2*v**2) as d*v + c*v**3 + y + f*v**4 + p*v**2 and give c.\nAnswer: -5820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 6769?\nAnswer: 40614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 210999177 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2\/13, -0.1, -5, -3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**5 - 112*u**4 - 664*u**3 + 1680*u**2 - 900*u = 0 for u.\nAnswer: -15, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/20 and -37\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1138640 divided by 172.\nAnswer: -6620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccuuccuucukck. What is prob of sequence uuuu?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(77)*-1)\/(-3*sqrt(55)\/sqrt(5)).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 5*w**2 - 4*w. Suppose 4*v = -4 - 4. Calculate the least common multiple of d(-5) and (-4 + -1)\/(v\/8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 35 (b) 0 (c) 2\/7 (d) 0.06 (e) -5 (f) -0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -161*d**3 - 2*d + 130 + 131*d**3 + 31*d**3 to the form g + t*d + j*d**2 + l*d**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -3 - 9. Suppose 216 = f*n + n - u, 3*n + u - 222 = 0. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20474705?\nAnswer: 5, 761, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2296880, 9187507, 20671890, 36750035, 57421948, 82687635, 112547102?\n\"Answer: p**3 + 2296872*p**2 + 4*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**8\/m)\/(m\/((m**24\/m)\/m)*m)*(m**(14\/9)\/m)\/((m*m\/(m\/m**(-49)*m)*m)\/m) assuming m is positive.\nAnswer: m**(707\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/6*((-45)\/(-6) + -7) + (-844)\/24?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 905509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -310*q**2 + 157*q**2 + 151*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10*j**2*s*y - j**2 + 4*j*s*y + 6*j*s - 2*s + 20*y - 3 wrt y.\nAnswer: -10*j**2*s + 4*j*s + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3624*w = -3395*w + 15572 for w.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 122*s + 4118. Let o(c) = 27*c + 1030. What is -18*o(n) + 4*r(n)?\nAnswer: 2*n - 2068","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 48*d**2 - 56*d - 333. What is the tens digit of u(-48)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*a**3 + 6*a**3 - 2*a**3)*(-16 + 7*a**2 + 2*a + 30 - 10).\nAnswer: -28*a**5 - 8*a**4 - 16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22559 and 3417?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153605.781 milliseconds to days.\nAnswer: 0.0017778446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147563, -147552, -147541?\nAnswer: -147530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 2. Let z be y(-5). Let w = z + -2. Suppose w*b = -0*b + 50. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001228 rounded to seven decimal places?\nAnswer: 0.0000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1595 and 61\/1077461.\nAnswer: 156231845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1560, -6064, -13588, -24144, -37744, -54400, -74124?\nAnswer: -96928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 5*r = -4, -3*r + 81 = 4*a + 63 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + 1 + sqrt(128))**2.\nAnswer: 32*sqrt(2) + 513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-4 + -3 + 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15041311 (base 6) to base 4.\nAnswer: 1332221023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 596540.6 millilitres in litres?\nAnswer: 596.5406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = 80*g - 83*g. Let m = g + -52. What are the prime factors of ((-177)\/2 - 16\/m)*-2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 78 = -w + 18, r + 66 = -4*w. Let c be (-1996)\/28 - 2\/(-7). Let o = r - c. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**6\/12 + s**5\/30 - 203*s**4\/12 - 336*s**2. Find the second derivative of c(y) wrt y.\nAnswer: 60*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.42541847 to 4 dps.\nAnswer: 0.4254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -5*j + 14. Let g(c) = -10 - 5 + 0 + 24 - 3*c. Suppose -5*b + 18 = 2*m, 2*m + 2*b + 2*b = 18. Let h = m - 1. Calculate h*g(p) - 5*o(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22823.\nAnswer: 29, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 177, 326, 483, 648?\n\"Answer: 4*t**2 + 137*t + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 2. Let l be n(7). Suppose c - 2 = -2*p, 13 = 4*p - l*p - 4*c. Suppose 0 = -3*j + 3*x + 21, p*j + x = 3*x + 21. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13171, -26397, -39613, -52813, -65991, -79141, -92257, -105333?\n\"Answer: f**3 - f**2 - 13230*f + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4388615 and 85.\nAnswer: 74606455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 0*h**3 - 125\/24*h**4 + 106*h**2 + 0 + 0*h + 0*h**5 + 0*h**6 + 37\/70*h**7. What is the second derivative of v(j) wrt j?\nAnswer: 1332*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201871 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4941 - -4988. Is m less than or equal to 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, 2\/3, 0.3, -73, -1\/6, 0 in descending order.\nAnswer: 10, 2\/3, 0.3, 0, -1\/6, -3, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 10:18 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 11:11 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1053*f**3 - 3160*f**2 + 11*f - 21. Calculate g(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*l + 7*l + 12*l - 30.\nAnswer: -2*l - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 912 and 2.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 280*h**2 + 11*h - 3. What is c(1)?\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.63 less than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -208.53 - -206. Let l = 1.392 + m. Round l to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.2 - -0.8. Let d = 10089 + -10088.6. What is the nearest to t in -2, 0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 49256035*q**2 - 81024598?\nAnswer: 98512070*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3741.\nAnswer: 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -7*j. Let h be 1*1\/(-7) - 102\/21. Let c(i) = -4*i + 4 - 12 + 11. Let w(x) = 4*x - 4. Let p(q) = 4*c(q) + 3*w(q). What is h*p(n) + 3*f(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 3 n when four letters picked without replacement from {n: 4, f: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 2*l + 41, 7924*k + 5*l = 7922*k + 59 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -238\/235765?\nAnswer: -238\/235765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12162 + 1?\nAnswer: 12163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30659332 and 1342.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 14. Suppose 0 = -2*i - w - z - 2, 2*i - w = -12. List the prime factors of ((-8)\/i)\/((-2)\/(-165)).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 278832653?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -8*d - 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132231303 + 10?\nAnswer: 132231313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4392477 - -2592877. What is v rounded to the nearest ten thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 10:37 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from fffffffsfqsfafqf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, w: 1, q: 1, r: 1, d: 1, t: 1}. What is prob of sequence rw?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 + 0 - 4*v + 10*v**2 + 0.\nAnswer: 4*v*(3*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -17*t. Let i(l) = -9*l. Let c(h) = -3*h + 9. Let x be c(2). Let q(k) = x*y(k) - 5*i(k). Let g(b) = 5*b**2. Calculate q(g(r)).\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 88. Let d = -3482 - -3488. What is the highest common divisor of j and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 74905.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/(-95))\/((-12)\/(120\/13))?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 19*l**2 - 24*l + 148. Let i be f(18). Suppose j + 4 = -3*p - 0*p, 2*p - 19 = -5*j. Calculate the greatest common divisor of j and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.02, 28.95, 39?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13350 (base 6) to base 12.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 64 = 47. Let o = v - 20. Suppose 3*q + 5*k - 3 + o = 0, -5*q + 4*k + 26 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 32*b + 62. Give n(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44416*z**2 + 2 + 45204*z**2 + 0 + 0 to the form v*z + t*z**2 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 83 = -2*h, 2*s - 2*h - 30 = -8. What is the remainder when 54 is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9.99 and 0.4?\nAnswer: 9.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - 26. Is r(20) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210.6234 years to decades.\nAnswer: 21.06234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -24410, -24409, -24408?\n\"Answer: q - 24411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*r - 20, 5*m - 33 = -r - 1. What is the second derivative of 103*z - m*z - 3*z**2 - 57*z wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -323a99762 + 4?\nAnswer: -323a99759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*a - 25 = 0, 17 = -d + 2*a + a. Let b = 16 + d. Suppose 5*m + 2*t + 3 = 0, -b*t = -0*m + 5*m. Sort m, 2, 4 in decreasing order.\nAnswer: 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of -o**5\/60 + o**4\/8 + 2*o**3\/3 - 37*o**2\/2 + 51*o. Let p(w) be the first derivative of d(w). Factor p(b).\nAnswer: -(b - 4)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-612)\/1632 - 7\/(-24)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - -7*(1 + -2). Suppose -4*s - 31 = -5*u, 2*u + 10 + 10 = -2*s. Let l be s*(-2 - 10\/v). Solve 1 = -2*w - l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 101*t - 985. Calculate w(11).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -235, 4, 0 in decreasing order.\nAnswer: 4, 0, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**5 - 12*y**4 + 12*y**3 - 4*y**2.\nAnswer: 4*y**2*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5388273*d**4 + 98*d**2 - 400821*d.\nAnswer: -129318552*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 28*k + 544. Let c be w(-19). Solve c*z = 8*z - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 173.2 + -174. What is the nearest to 0.3 in x, 6\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -2 + (0 - -1923). Let b = v + -1308. Suppose 0*o + o - b = -3*d, d + 4*o - 197 = 0. What is d rounded to the nearest 10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1754 + 146112?\nAnswer: 150066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 621 and 899397.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25129 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 38 - (21 + 22 + -6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4956 and 168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 23*n + 2*n**2 - 32*n + 5 to d*n + q*n**2 + y and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4900, -19567, -44004, -78205, -122164, -175875, -239332?\n\"Answer: i**3 - 4891*i**2 - i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1323)\/(-42))\/(-21))\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(104)*1*2)\/(((sqrt(3872) + sqrt(3872)*1 - sqrt(3872)) + sqrt(32))\/(sqrt(4) + sqrt(256))).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 + 12. Suppose 0 = -j*v + 10 + 5. Suppose -v*y + 17 = -4. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3638350 by 2.\nAnswer: 1819175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -35235, -70525, -105815, -141105?\n\"Answer: -35290*o + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -13*x - 5*w - 20, 3*x = -w - 11 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*m - 7. Solve -2 = 2*u + m for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -1\/3457870?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6048 + -6057 + 46 + -1 + 4 + -3 + 0.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 5, -0.03?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87922 is divided by 7317?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o + 6. Suppose 4*j - 9 = 3*d, 0 = -j - 4*d - 12. Let f be q(j). Let g(v) = -39827*v + 79654*v - 39831*v + 4*v**2 - 7 - 3*v**2. Calculate g(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 1 - (-4 - (-32 + 5))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -202 less than 17777.5?\nAnswer: 17979.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2*p + 3*p**2)*(5 + 1 - 5) - 198*p**2 - 137*p**2 + 99*p**2.\nAnswer: -233*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 14999*u + 6. Suppose 6 = -2*d + 3*d. Let n be x(d). What is n rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178298 = -p + 5*t, 53927 = -2*p - 5*t + 410478. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63*1 - ((-85)\/25)\/((-217)\/1085).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millisecond in microseconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 32, 0.7, 3\/5, 0.2 in descending order.\nAnswer: 32, 1, 0.7, 3\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 65951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 + -13.5. Let m = p - -12. Which is the third smallest value? (a) -0.3 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(f - 6 + 6 + 4*f**3).\nAnswer: -4*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/6 - 1) + 24 + 3939\/(-117).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-7 - (0 + -4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 2*a + 210. Let l be n(0). Let b be l\/40*176\/6. What is b rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2\/5*w**3 - 2\/5*w**4 + 0*w + 0 + 0*w**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 41*n - 2*n**4 + 18*n**2 + 9 - 5*n - 34*n + 30*n**3 to the form m*n**4 + i*n + g*n**2 + w*n**3 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**5\/3 + 2300*u**4\/3 + 40256*u**3 + 2072708*u**2\/3 + 11801026*u\/3 = 0.\nAnswer: -17, 0, 1201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {t: 3, u: 8}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -6*v + 2. Let q(u) = -u**3 - 32*u**2 - 87*u - 6. Let g be q(-29). Determine t(g).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from vvnkojkkvovq.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 13*w**5\/60 - 13*w**4\/12 + 2*w**3\/3 - 21*w**2. Is c(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 2 (b) 3\/8 (c) -6 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1956\/7091 + 10\/1013. Factor 0 - f*i**2 + 6\/7*i.\nAnswer: -2*i*(i - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-177)\/87 - -2). Let x = p + 40. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = i - 7. Suppose -m + 3*m - i*g - 11000012 = 0, 4*g = -m + 5499988. Round m to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sgsssslslgsxsssgsxi. What is prob of picking 2 s?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**7\/105 - 5*r**4\/24 + 2*r**2. What is the second derivative of a(s) wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 (base 9) in base 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/(-91) - (49\/(-35) - 4\/(-10)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 17*z**2 - 12*z + 163. What is the hundreds digit of v(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t - 118 + 224 - t - 106.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -286064 - 3*k**2 + 3*k**3 + 286061 + k**2 + k - k**3 - k**4 to l*k**2 + i*k**4 + g*k**3 + n + h*k and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -8 + 2. Solve y + 2*y - 12 = q*v, 20 = -5*v - 3*y for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/16)\/(29\/((-116)\/(-12)))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 5*l**2 - 2. Suppose -n - 17 = -u + 2*n, -2*u = -n - 14. Determine q(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**2 - 252471*l + 252472 = 0.\nAnswer: -252472, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*w + 25 = 2*s, -w = s - 8. Let j(l) = s - 14*l**3 - 2*l + l**2 + l + 3*l - 4. Is j(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dc when two letters picked without replacement from cdweprr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 9, -30, -2, 0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 711 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 200000 (base 3) in base 12?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -104204?\nAnswer: -104210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and 14375.2.\nAnswer: 14376.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -462*x - 317*x - 331*x - 322*x + 1436*x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.99 - 0.01. Let y = -4 + k. Let t = y + 5. What is the closest to 4\/3 in t, -1\/3, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.11 and -10134.\nAnswer: -1114.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 9 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -530*d + 503*d = -999 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 7008?\nAnswer: 7008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 33*c = 31*c - 28 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8*t + 1. Let g be (-18)\/(-12)*8\/(-6). What are the prime factors of a(g)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616931 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, h: 1, t: 9, e: 1, k: 1, u: 6}. Give prob of picking 1 e, 1 k, and 1 t.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1709642010.\nAnswer: 2, 3, 5, 479, 118973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3654 and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/30*4)\/((-91)\/(-42)*-1).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**7\/126 - q**5\/30 + q**3\/18 - 35*q. Factor f(k).\nAnswer: k*(k - 1)**2*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16464 and 7056?\nAnswer: 49392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11092675 to the nearest integer?\nAnswer: 3331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -75.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12744.804671 + 13.\nAnswer: -12731.804671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008 is divided by 959?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-seven fifths of a litre?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/28))**28\/((g*g\/g**5)\/g*g*g*g*g\/(g*g**(-30))*g) assuming g is positive.\nAnswer: g**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 7*x**2 + 6*x - 1. Let f be i(-6). Let k = f + 16. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/(-8)*(3 + -1). Let r = b - -5. Let s(d) = 4 + r*d - 4*d + d. Give s(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d**2 - 74*d - 76. Let y be h(38). Solve 4*c + g + g - 8 = y, -2*g - 4 = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-94)\/(-120) - (-192)\/(-256). Let s(b) be the second derivative of 0 + 11*b + 2\/3*b**2 + o*b**5 + 0*b**4 - 1\/3*b**3. Let s(l) = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 362a (base 13) to base 5.\nAnswer: 221031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a factor of 3134544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)\/(sqrt(24)\/sqrt(4)))\/((sqrt(45)\/sqrt(5))\/sqrt(3)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 47508728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385702640?\nAnswer: 2, 5, 23, 209621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u**3 - u - 1. Let w be f(-1). Suppose 5*s = 2*l - 6, -3*s - 2*s + 5*l = 0. Let r = 5235 - 5234. Sort s, w, r in increasing order.\nAnswer: s, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + 0 + (1*sqrt(637) - sqrt(637)) + 5)**2.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -885.9 - -886. Let b be (0 - 1\/2)\/1. What is the nearest to 1\/4 in h, 2\/13, b?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1544 and 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -8, 4*x = -x + m + 308. What is the highest common divisor of 31 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**3 + 0*i**3 - 7*i + 3*i**3 + 5*i**2 + 1. Let k be m(-6). Solve -3*a + 4*t = -11, 3*a - 2*t - k = -0*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/147)\/(12\/(-42))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p**3 + 26*p**2 + 9*p + 2. Let n(y) = 3*y**3 - 9*y**2 - 3*y - 1. Let x(v) = 4*k(v) + 11*n(v). What is x(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 121 + -50?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -84, -78, -62, -30, 24, 106, 222?\n\"Answer: j**3 - j**2 + 2*j - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-160)\/(-3)*3*(-1 + 0). Let m = -112 - u. Calculate the remainder when (-12)\/(-18)*(-558)\/(-4) is divided by m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*j + 23*j + 6 - 178*j - 72*j.\nAnswer: -244*j + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 905 = 3*r + 2*r. Suppose c = 5*f + 195, 3*c - 4*c - 2*f = -r. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2023459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 + 12*j + 141. Calculate d(-9).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 149202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 128 by 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.5175807ng?\nAnswer: 0.0000000005175807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*u + 4*c, -15 = 14*u - 19*u - 3*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.29 (b) -1 (c) 1 (d) 0.5 (e) 0.2 (f) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7867.311 millimeters in nanometers?\nAnswer: 7867311000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 521, 795, 1069?\nAnswer: 1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3707, -22415, -53595, -97247?\n\"Answer: -6236*b**2 + 2529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 66810082?\nAnswer: 66810082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 282 = -5*u + u, j = -3*u + 211. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4432 is divided by 78.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21572*o**3*q**3 - 123*o**3*q**2 + o**3 + 23*o**2*q**4 - 2*o**2*q**2 + 6*o**2 + 6 wrt q.\nAnswer: 129432*o**3 + 552*o**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -181000 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 79752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 137, 469, 1119, 2195, 3805, 6057?\nAnswer: 9059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2870945763.\nAnswer: 3, 7, 97, 1409399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 c, and 2 l when four letters picked without replacement from cschjjclscsc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 209692 and 420.\nAnswer: 3145380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199, -47, 457, 1307, 2497, 4021, 5873, 8047?\nAnswer: 10537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*m - 5*m**4 + 46*m + (2*m**2 + 2*m - 2*m)*(m**2 + 2*m**2 - 2*m**2).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/8 of a minute?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 408761 and 7747?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3159*w - 115 = 3136*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a century in months?\nAnswer: 17400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 5*m - 46 - 51 = -106, 0 = 8*u + m + 24 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 63, 135, 219, 315?\n\"Answer: 6*p**2 + 54*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20959 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62*r**2 + 3*r**2 + 90*r**2 - 14*r**2 + 2*r + 7*r**2.\nAnswer: 148*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 134139.1 and 0.014.\nAnswer: 1877.9474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 26*u. Let m(p) = -480*p**2 - 4544. Give m(b(s)).\nAnswer: -324480*s**2 - 4544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 37*l - 4. Let a(v) = 4*v. Let f(k) = 18*a(k) - 2*s(k). Calculate f(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + 56 + -31 + -2 + 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50825 and 321?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**4\/12 - 11*n**3\/2 - n - 51. Let p be t(33). Put 5, p, 34, -2 in increasing order.\nAnswer: -2, p, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30676051?\nAnswer: 7, 19, 230647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 566 * -1.\nAnswer: -566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 - 2*p**2 + 3*p**2)*(-3*p**2 + 2*p**2 + 3*p**2) + 28*p + 19*p - 47*p - 16*p**4.\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000018044 rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 5) in base 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 - 37*f + 549. Let w be j(-39). Which is smaller: w or -1048?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1820ee (base 15) to base 8.\nAnswer: -4357625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21365097 + -0.09.\nAnswer: -21365097.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -32001 (base 4) in base 11?\nAnswer: -746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + 6. Let z be g(5). Suppose 2*x = 3*x + z. List the prime factors of 2 + -1 + x + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/9)\/((-95)\/1710)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*i - 77*i + 4*v - 16 = 0, 5*i + 5*v - 60 = 0. What is the remainder when 605 is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -10*d**3 + 3*d - 1158. Let k(y) = 51*y**3 - 15*y + 5811. Let f(a) = -4*k(a) - 21*p(a). Differentiate f(t) wrt t.\nAnswer: 18*t**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1949344.\nAnswer: 2, 60917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41832 and 8964?\nAnswer: 125496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -18*t - 3. Let j(v) = 1358934*v. Determine j(c(d)).\nAnswer: -24460812*d - 4076802","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2231, 9015, 20321, 36143, 56475, 81311, 110645?\n\"Answer: -p**3 + 2267*p**2 - 10*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 80522 to the nearest 100.\nAnswer: 80500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -181 (b) 0 (c) -2 (d) 0.00568\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 8*u + 9. Let l(j) = 2*j**2 + 23*j - 26. Let h(b) = -6*l(b) - 17*z(b). Suppose -2*v + 1 = -i - v, -5*i + 3*v + 1 = 0. Does 9 divide h(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3227 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -9. Suppose -3*k + s*k = 8. Let y(i) = -i**2 + 6*i. Calculate the remainder when 12 is divided by y(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*(f*f*f*f*(f**(8\/5)*f)\/f*f*f)\/f)))\/f*f\/(f*f\/f**9*f*f)*(f\/f**5)\/f*f**4\/f assuming f is positive.\nAnswer: f**(53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 432, 438, 434, 414, 372, 302, 198?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 - 6*i**2 - 7*i + 25. Let r(c) = -3*c**3 - 5*c**2 - 5*c + 22. What is 7*r(n) - 6*x(n)?\nAnswer: -9*n**3 + n**2 + 7*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1037496*a**2 + 2145290*a wrt a.\nAnswer: -2074992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8110755 and 4545?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*i - 7459 + 810 = 100*i + 26*i for i.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -59.1 * 38\nAnswer: -2245.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20206499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/(-12))\/((-15)\/18). Is (4 - 758547\/(-18)) + 1\/i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**3*x**2 - m**3*x + 32*m**2*x**2 - 184435*m**2*x + 1583*m*x**2 - x**2 - 2*x wrt x.\nAnswer: 4*m**3 + 64*m**2 + 3166*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + f = 16. Suppose f*o - 6*o = -10. Calculate the remainder when 39 is divided by o\/((-40)\/(-12))*14.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/(-66) - 41\/(18040\/(-120))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42) - (3*sqrt(6048) + sqrt(6048) - sqrt(6048)))\/(3*sqrt(24)).\nAnswer: -35*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t + 84 - 48 + 14 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2870 and 54460.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61129660 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -126*h - 15. Let z(s) = -126*s - 17. Let j(d) = 3*x(d) - 4*z(d). Let t be j(-6). Let f = t - -1220. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 816 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-133)\/19 + (-54)\/(-18)*5\/(-3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2101140 (base 8) to base 3\nAnswer: 1001022222020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24245\/4308 + -16\/359. Let g = -9\/4 + s. What is the common denominator of 806\/(-144) + (-6)\/(-27) and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 47?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 53, -0.327, -0.05, 2\/7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6508.63s to nanoseconds.\nAnswer: 6508630000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l + 16. Calculate the smallest common multiple of (7 - 1)\/(3\/4) and i(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*y - 13*y + 6 + 18*y)*(-4*y + 6*y + 0*y) + 4*y + y**2 - 4*y.\nAnswer: 79*y**2 + 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**0*((g*g\/(g**(-4)\/g))\/g*g)\/g*(g*g**(-1)\/g*g*g*g)**(11\/7))**(-11\/3))**(-26) assuming g is positive.\nAnswer: g**(20306\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66 and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppqqpppqqq. What is prob of picking 2 p?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqhhuva. What is prob of picking 1 a and 2 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7962635 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 587213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 6*b**2 + 4*b + 1. Let r(f) = 2*f**2 - 2*f. Let l be r(2). Suppose 3*t + 4 = l*t. Calculate the least common multiple of t and c(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, -16, 4, 3, -5 in decreasing order.\nAnswer: 8, 4, 3, -2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 74*m = 77*m + 88, 0 = 5*p + 2*m - 258. Suppose -3*c + 36 = -153. Let y = c + -37. Calculate the remainder when p is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3919*h - 3857*h - 2170 for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8049403?\nAnswer: 8049403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 137*k**2 - 9 + 163*k**2 - 15*k**2 + 10*k**2.\nAnswer: 295*k**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5138310 a multiple of 1770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 400523 + -3?\nAnswer: 400520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**3\/2 + 22*q. Let h(g) = -g. Give o(h(m)).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e5fa2 + 35?\nAnswer: -e5f6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*((-4617)\/(-189) - 25). Let c = 10 - 7. What is the second biggest value in d, -13, 2\/5, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g - 1. Let d(u) = 31*u - 6. Let z(r) = -d(r) + 6*j(r). Let a(q) = 2*q**2. Determine z(a(b)).\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 17133140.\nAnswer: 17133145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*b**2*d**3*q**2 - 6*b**2*d**2*q - 2*b**2*d*q**2 - 3*b*d**3*q + 6*d**3*q + 37*d*q**2 wrt d?\nAnswer: 114*b**2*q**2 - 18*b*q + 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 7 = -2*r. Suppose 6*i - 11*i + 1257 = 2*s, -4*s + 2579 = -3*i. Suppose -209 = r*a - s. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -3\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25*h**3 + h + 2483 wrt h.\nAnswer: -75*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 1) + 9*(-4)\/(-180). Let d be 0\/(10\/(-30)*-9). Factor i*p**2 + d + p.\nAnswer: p*(p + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*h - 54 - 6, p + 2*h + 12 = 0. Let i be ((-6)\/(-18))\/((-1)\/p). Let q(t) = -t**2 + i*t**2 - 2*t**2. Let c(m) = m**2. Determine q(c(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -28*v**2 + 7*v. Let z(q) = 3*q. Calculate h(z(f)).\nAnswer: -252*f**2 + 21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/6)\/((-2)\/(-3)). Let o be (t - 5) + (-3 - -2). Sort o, -4, 2.\nAnswer: -4, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 356\/36 - (-25 + 34). Sort -0.5, -1, 2\/11, 4\/9, o in decreasing order.\nAnswer: o, 4\/9, 2\/11, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s - 134*s - 75*s - 230*s - 46746 for s.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 15 + 3 = -n, -4*b + 2*n = -20. Solve -10*k + 2*k - 6*k**2 - 2*k**2 + b - 6*k = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43637 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -345812960605309 minus 4?\nAnswer: -345812960605313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46674253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1028.7638752 to 2 dps.\nAnswer: -1028.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 7:05 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.48409 decades to months.\nAnswer: 418.0908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3887625 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccwwwwwwmwwwmwww. Give prob of picking 2 w.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 + 117 = -2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-32)\/56)\/(-2))\/((-54)\/42).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 3 - 3*b**2 + 6 - 2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-35)\/(-40)*4)\/(11\/110). Which is smaller: 26 or t?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 106 = -126. Let m be 21\/t - ((-296)\/(-32) + -9). Which is bigger: 7 or m?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4968465 is divided by 1242111.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -4*a - 1717, 1987 = 2*l + 3*a - 1458. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*j - 30. Let p = -2 + j. Suppose 12 = p*a - a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 h when two letters picked without replacement from {q: 9, h: 5}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y + 24. Give v(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 1, 7, 0, -171 in ascending order.\nAnswer: -171, -1\/7, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 150.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 212*a + 11452. Let z be c(-54). Solve z*t + 86*w - 87*w = -20, 0 = -4*t - 2*w - 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 202240243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p + 26298 = -12*p. Let b(d) = -30*d**3 - 5*d**2 - 7*d - 5. Let q be b(-4). Let a = q + p. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/56)\/((-5562)\/5253).\nAnswer: 17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-2\/3)))\/(y\/((y*y\/(y**37*y))\/y)) assuming y is positive.\nAnswer: y**(-112\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 59522.45um in meters?\nAnswer: 0.05952245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*v**5 - 615*v**4 + 455*v**3 + 715*v**2 - 320*v - 100 = 0 for v.\nAnswer: -5, -1, -2\/9, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdd when three letters picked without replacement from {o: 3, d: 3, r: 4, p: 2, c: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1452844 * -0.5\nAnswer: 726422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 3*q**5\/20 - q**3\/2 - 13*q. Factor u(m).\nAnswer: 3*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/43989 and -77\/15?\nAnswer: 219945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**5 + 19692*d**4*p**2 + 6*d*p**2 - 99*d*p + 2*d - 2*p wrt d.\nAnswer: -20*d**3 + 236304*d**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -8369672?\nAnswer: -1\/4184836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512469.\nAnswer: 3, 56941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-21))\/(6\/21)*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i = 29 - 89. Let c be -1 - 1\/(1*-1). What is l in -2*l**3 + c - 1\/2*l**i - 5\/2*l**2 - l = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 38 + 1?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -5*q**3 - 5*q**2 - 5*q - 5. Let n(p) = -11*p**3 - 10*p**2 - 11*p - 11. Let j(a) = -9*d(a) + 4*n(a). Calculate j(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5524*f - 154916. What is o(-28)?\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 3*z - 5, 85*x - 3*z = 82*x + 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.471 - 1.621. Let p = x + 1.14147. Round p to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -368183162*i**6 + 57004*i**2 - 258*i + 2.\nAnswer: -44181979440*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 2*g + 52 = 767 for g.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**4\/18 - 58*l**3\/27 - 10*l**2\/3 + 14. Find v, given that z(v) = 0.\nAnswer: -1, 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(686)*1 - (sqrt(42)*4)\/sqrt(3))\/((-2*sqrt(784))\/(-1*sqrt(648))).\nAnswer: 27*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*m - 2*m - 2*m)*(2 - 3 - 1) + 3*m + 0*m - 4*m)*(3 - 1 - 1)*(1 + 0 - 3).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -65*a - 1045. Determine r(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -f - 3*a - 91, 0 = -3*a. Let d = f - -93. Solve -29 = -d*m + 5*z, 2*z - 1 = 2*m + 3*z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 608727*v**2 - 8*v**3 - 608727*v**2 - 17*v**3.\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*6*(2*sqrt(539) + 2 - (sqrt(539) + 0 + -2))**2.\nAnswer: -13320 - 1344*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**3*k - 106*j**2*k + 2*j*k - 2*j - 23*k wrt j.\nAnswer: -12*j*k - 212*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -4. Let y be (2\/b)\/(2\/28). Let m = y - 5. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, q: 1, y: 4}. What is prob of sequence qyyk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 10708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from {k: 1, d: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 169 + -100. Find the first derivative of -50 - w + s + 7*w wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -168*r**2 + 8*r**4 - 218*r**4 - 105*r**4 - 252*r**4 wrt r?\nAnswer: -13608*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -10*y + 9 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a tonne in kilograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: a (base 11) to base 10\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34818352 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -0.3, -764\/133, -3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77313 (base 8) to base 16.\nAnswer: -7ecb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7296\/(-1368) + 2\/6 + 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and ((-24)\/9)\/(4\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.061766 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 3 + 0)*(5*h - h + 0*h)*(-h**2 + 4*h**2 - 5*h**2).\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4089 (base 10) to base 7.\nAnswer: 14631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1130 = 2*o - 7*o. What is the third derivative of -438*m**4 - 2*m**5 - m**5 - 25*m**2 + 215*m**4 + o*m**4 wrt m?\nAnswer: -180*m**2 + 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(102)*1 + sqrt(102) - sqrt(102)) + sqrt(102))*4 - (-5*-2*sqrt(102) - sqrt(102)))*1)\/(sqrt(18)\/sqrt(27) - 5*sqrt(6)*2).\nAnswer: 3*sqrt(17)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13469 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1482431, 2964874, 4447317, 5929760, 7412203?\n\"Answer: 1482443*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15816 by 6.\nAnswer: -2636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) 4 (c) 141.6 (d) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 1. Let c = u - -2. Let i = 48 + -21. What is the highest common factor of c and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3, -3*z + 4*z + 6 = -5*p. Suppose 0 = 14*x - 7 - 49. Let s be 2\/4*(2 + -16) - x. Do z and s have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 + -0.6. What is the nearest to f in 0.2, 0, -10, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 2*k - 23. Give j(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (38*(-34)\/(-1615))\/(4\/10). Let l(y) = 7*y**3 - 2*y**2 + y + 4. What is l(r)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2014529 is divided by 4447?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(24)\/(sqrt(4)*1)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2*2)\/(-21*(-20)\/1260)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + x - x + (-1 - 2 + 2)*(x**2 - 4*x**2 + 2*x**2)*(1 - 1 + 2*x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 34*r**2 - 85*r + 467. What is the thousands digit of z(51)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 21 = i, 3*n + 13 = -2*i + 50. Calculate the lowest common multiple of 10 and i.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*d + 256 + 25\/4*d**2.\nAnswer: (5*d + 32)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((-118)\/(-16))\/(-6 + 5)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-231 - 9823 - 4850 + 1680)*(1 - 1 + 2*i) as k*i + j and give k.\nAnswer: -26448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8*m - 136. Let q be r(-17). Which is smaller: q or -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + (-284)\/(-16) - 6\/(-24). Solve 0 = -2*c - 2*i - n, 3*c - 3 + 0 = 3*i for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -933*h**2 + 20*h. Let u(r) = 467*r**2 - 10*r. Let f(b) = -9*u(b) - 4*z(b). Let x be f(10). What is x rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -11*c - 86. Let u be y(-8). Suppose -u*b + 276 - 258 = 0. Let f(s) = -11 - s + 9*s**2 - 6*s - 8*s**2. What is f(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1412\/6273 + 2\/697. Suppose 3*t = -3*w - w - 5, 5*w - 4*t - 17 = 0. Which is smaller: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -236*x + 232*x + 2*k, 2*x - 12 = -4*k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(1337 - 3426*n - 1337 + 3 - 3 + 2*n - 2*n + 3*n + 0*n + (3 + 1 - 6)*(2*n + 2*n - 3*n) - 2*n + 0*n + 0*n) + 1 - 1 + 2*n.\nAnswer: -6852*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -11 + 23 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 191. Calculate the highest common divisor of 155 and t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -691 - -696. Solve -12*n + 21 = -g*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*k = -15*k - 325 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 2731*r**2 - 2 - 2493*r**2 - 1131*r**2 to the form g*r**2 + k*r + u and give g.\nAnswer: -893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -160526543 + 1?\nAnswer: -160526542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -779, -1559, -2339, -3119?\n\"Answer: -780*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72)\/sqrt(4))\/sqrt(2))\/(sqrt(9)\/(sqrt(6)\/sqrt(2))))**2 + sqrt(3)*-2*1 + (-2 + sqrt(243))**2.\nAnswer: -38*sqrt(3) + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**4\/24 - 4*u**3\/3 + u**2. Let c be v(6). Let t = 0 + c. Sort t, -1, -3 in decreasing order.\nAnswer: -1, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*t + 3*p + 8, 2 = -p. Let q(r) = 2*r**3 - 7 - 4*r**3 - 5*r**3. Let c(n) = 3*n**3 + 3. What is t*c(z) + 2*q(z)?\nAnswer: z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 10. Let z(s) = -2*s + 7. Let y be 8\/(-20) - (-37)\/5. Let j be z(y). Let v be o(j). Solve v*m = -17 + 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10509, -10772, -11035, -11298, -11561?\nAnswer: -11824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(3) + sqrt(108) + 3 + 1).\nAnswer: 4 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/2)*w)**(1\/2)*w*w**(-2\/11)*w**7*w)**(-8\/5) assuming w is positive.\nAnswer: w**(-842\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**1*i*i)**2*(i**0)**19)\/((((i\/(i\/(i**5\/i)))\/i*i)\/(i\/(i\/(i**(-2\/7)*i)*i)))\/(i\/(i*i*i**(-2)*i*i*i)*i\/i**(-2\/9)*i)) assuming i is positive.\nAnswer: i**(-4\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from {m: 2, l: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 29*x**2 + 1482*x - 253. What is o(-52)?\nAnswer: 1099","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/294 and 53\/8232?\nAnswer: 8232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.0515 (b) -2\/13 (c) -11297\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*z + 3. Let x be (-1302)\/70 + z\/(-10). Let t = x - -35. Calculate the remainder when 44 is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1398 = 8*z + 4*y - 1442 + 2772, 0 = -5*z - 13*y + 137 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -106 - -7064976694.\nAnswer: 7064976588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 9*c - 90 = 0, -1978*n + 21*c + 6 = -1979*n for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - j - j + 3 - 3 + (-7 + 4 + 4)*(3007*j - 6237*j + 2445*j).\nAnswer: -787*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8122301 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-3))\/(1209\/3627).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12050316, -24100628, -36150940, -48201252, -60251564?\nAnswer: -72301876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-13)\/(-5) - -1)\/((-27)\/(-90)). Let r(u) = 7*u**2 - 17*u + 188. Does 62 divide r(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17562 - -175567\/10. Suppose 2 = 3*y - 1. Calculate the common denominator of z and y + 126\/(-20) + 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -207 - 11?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 0.24, 0.06, 15, -5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -6*d - 106. Let o(t) = -t + 19. Determine f(u) - 7*o(u).\nAnswer: u - 239","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 19 = 2*q. Suppose 0 = w + 85 - q. Let u = 445\/6 + w. Which is the third biggest value? (a) -2\/5 (b) -0.2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 6\/2) + 1. Suppose -2*h - 2*h + 4 = 0, a = -5*y + 4*h + 61. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 331 (base 8) to base 2.\nAnswer: 11011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -578? (a) 13 (b) 2 (c) 1\/4 (d) -2 (e) -1 (f) 19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 8:10 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 13*w - 11*w + 209 = 0, -5*d = -4*w - 1033. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4401 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93725 and 92.\nAnswer: 374900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-3)\/(-2))\/(9\/(-2))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -605*n + 19025. Give d(33).\nAnswer: -940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 0)*(u + 2*u**3 - u) - 2*u**3 + 2*u**3 + 3*u**3 as z*u + h*u**2 + d*u**3 + k and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -2057*w**5\/20 - 7*w**4\/12 - 19*w**3\/3 + 1238*w. Find the third derivative of x(i) wrt i.\nAnswer: -12342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 49 (b) -1\/6 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121006 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 329576119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2 = -3*i, i = -0*i + 2*y - 2. Solve -s - 5*a = 24, -a - 16 = 5*s - i*a for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772 is divided by 147.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 717.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 PM and 6:08 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 22080037.8 rounded to the nearest 100000?\nAnswer: 22100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.7 and 1754.0941553?\nAnswer: 1745.3941553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2*(-27)\/4)\/((-6)\/12). Suppose 149 = -x*p - 40. Sort p, 0.1, 2\/19 in descending order.\nAnswer: 2\/19, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2402 + 3468. Calculate the remainder when b is divided by 344.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -49 + 7*t**2 + 13 + t**3 + 14 - 13*t. Calculate the remainder when 53 is divided by b(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 813 - -3624. Let i be f\/(-312) - (-4 + 2). Let k = i + 99\/8. Which is the second smallest value? (a) 0.4 (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 + 8*m + 12. Let b be a(9). Let t = 10 + -6. Suppose b*l - 8 = t. What is the remainder when 14 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-118 - -81 - -29) + (2 - -45)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 0)\/((33\/3939)\/11). Put 3, i, 0.2 in descending order.\nAnswer: 3, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -193 + 197. Let k(i) = 3*i - 13. Give k(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.1. Let x = -10.9 + -35.1. Let u = x - -43. Which is the nearest to -6? (a) -1\/4 (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -368 + 370. Suppose 3*t + 0*w = 2*w + 8, 0 = -3*t - 3*w + 33. Let d = -2 + t. Solve 2*v = -g*v - d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14917 = -29*z + 102794. Does 37 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 408 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*b + 14*b + 23*b)*(-7 + 13 - 8)*(-2*b - 1 + 1).\nAnswer: 156*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 71049330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 802 + -479. Suppose -3*d - 333 = -4*p, 5*p - 96 = d + k. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40703?\nAnswer: 13, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 40*d**3 - 2.\nAnswer: -40*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 0.003 (c) 1 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50410043 to the power of 1\/2, to the nearest integer?\nAnswer: 7100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 917.9969 kilograms in nanograms?\nAnswer: 917996900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -5*u**2 + 4*u + 391. What is h(19)?\nAnswer: -1338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -503.2138329703+-31\nAnswer: -534.2138329703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y - 3*y - 2*y)*(114*y**3 + 55*y**3 + 27*y**3 + 212*y**3) to l*y + j*y**3 + g*y**2 + v + h*y**4 and give h.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus -577.8164?\nAnswer: 571.8164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1809764 and 22?\nAnswer: 1809764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2535 and 30.\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 1\/5, -4, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15) + sqrt(15) + 5*sqrt(15)*-2)\/(sqrt(6)\/sqrt(8) + sqrt(3)))**2.\nAnswer: 1280\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from pinrritu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v - 1 + 3*v + 0*v)*(-v + 0*v + 3*v - 2 + 2*v + 2 + (v + 3*v - 6*v)*(1 - 3 + 1)) to f*v**2 + s*v + n and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbnbbnbb. Give prob of sequence bbnn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42348900.\nAnswer: 2, 3, 5, 11, 41, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + 16*z + 10*z - 35*z)*(-6*z + z**2 + 3*z + 2*z).\nAnswer: -z**5 + z**4 - 9*z**3 + 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6407576, 6407577, 6407578, 6407579?\nAnswer: 6407580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 34, -13\/29, 3.85?\nAnswer: 3.85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + sqrt(1377) + (sqrt(1377) + -1 - sqrt(1377)) + -2 - (5 + (sqrt(1377) + -2 - sqrt(1377)) - (1 + sqrt(1377) + 5))) + 5)**2.\nAnswer: -3672*sqrt(17) + 198577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**2)**(-47))**(-3\/11)*c**(-2\/11)*(c*c**6\/c*c)\/c*(c\/(c*c\/((c*c\/(c**7\/c)*c)\/c)*c))\/c**(-5) assuming c is positive.\nAnswer: c**(617\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4055, -8102, -12149?\n\"Answer: -4047*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/89, 1808480, -3?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g - 8. Suppose 0*u = -3*q + 4*u + 6, 2*q - 4*u = 0. Determine z(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10584)\/10 + 15\/(-10). Let f = -1052 - d. Calculate the common denominator of (0 - -157)\/(-14 - 16) and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -12*f**3 - 8*f**2 - 2*f + 10. Suppose 5*n + 13 - 63 = 0. Let s be 4\/((-12)\/(-3))*n. Let m(d) = d**3 + d**2 - 1. Give s*m(t) + b(t).\nAnswer: -2*t**3 + 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (259\/(-35))\/(40\/200)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 10 = 2*q. Find the third derivative of -f**2 + 2*f**2 - 4*f**5 - q*f**5 wrt f.\nAnswer: -360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(0 + 2 - 1). Let k = 9 - n. Suppose 0 = -4*a + a + 288. Calculate the greatest common factor of k and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11579754 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -15*2\/(-6)*9 is divided by (2 - 3) + (-4)\/8*-28.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a century in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-1 + 65 + -54?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41691a (base 14) to base 12.\nAnswer: -8a5910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 465 (base 7) to base 11\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 572103?\nAnswer: 3, 7, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6006497*x**4 + x**3 + 25480690*x**2?\nAnswer: 144155928*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -57*x + 156 - 70. Solve f = -x*l + 17, -31*l + 27*l + 20 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-28)*15414\/(-1835)*30\/7.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 106 - 73. What is the common denominator of 2\/d*4\/(-6)*21 and 4\/21?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(((x*x\/(x*x**(-3)*x*x*x)*x)\/x)\/x))\/x)\/((x*(x*(x**(2\/13)\/x)\/x)\/x)\/x))\/(x\/(x**(-6\/7)\/x)*x**4*x) assuming x is positive.\nAnswer: x**(-547\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.067*-0.1.\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 + 3*v**3 - 2*v**3 + (0 + v**2 + 0)*(v - v + v) + 2 - 1 + 2 - 9*v**3.\nAnswer: -7*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1460456 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/7 + 148950*c\/7 - 43322872\/7.\nAnswer: -2*(c - 74183)*(c - 292)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -250919283*g**2 - 188576226 wrt g?\nAnswer: -501838566*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4042269942?\nAnswer: 2, 3, 97, 6945481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7871174859?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**3 - 4*w**2 + 11*w - 21. Suppose 2*u = -3*m - 9, -4513*m + 4508*m + 33 = -2*u. Calculate a(m).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9021.04 + 9304. Let o = -280 + g. What is o rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167 (base 9) to base 15\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 45 = 5*w, -59*w - 2*f = -61*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -13)\/(4\/6). Suppose 604 = 4*t - 2*r + 576, 3*t - 16 = -r. What is the lowest common multiple of t and (f\/(-4))\/((-9)\/(-132))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -k + 12. Let c = k - -2. Let v be 1*-2 + (16 - c). Solve -2*q - v = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 8:33 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575944840?\nAnswer: 2, 5, 23, 421, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -77*z**3 - 617*z**2 + 502*z + 192.\nAnswer: -(z - 1)*(7*z + 2)*(11*z + 96)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q - 5*q**2 + q**3 - 6 + 5*q**2. Suppose 8 = -18*x + 20*x. What is the tens digit of u(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 681*n**3 + 8009*n**3 + 1091*n**3.\nAnswer: 9781*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. Find the first derivative of -2*x**p - 11 + 3*x**3 + 8 wrt x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 842.\nAnswer: 2526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2 = -3*b, 3*b + 4 = l + 3*l. Let m be ((-36)\/5)\/(l\/10). Suppose 2*t = -t + m. Calculate the greatest common divisor of 96 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598372471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 543244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9499 is divided by 352?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21 - 2*h - 2*h**2 + 0*h**2 + 20 + 0*h**4 - 2*h**4 + 3*h**2 + 12*h**3 to the form p*h**3 + n*h + c*h**4 + d*h**2 + v and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3))**(-22)\/(v**(2\/5)\/v)**(-27) assuming v is positive.\nAnswer: v**(249\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12354 (base 7) to base 5.\nAnswer: -101043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2137 = 4*g - 4*w - 335, 0 = -2*g - 3*w + 1261. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**2 - 9*r - 8. Let i be n(-2). Put 2, -5, i in decreasing order.\nAnswer: 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/42021 and -11\/207?\nAnswer: 42021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1153 by -190553.\nAnswer: -1153\/190553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 268651?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -667*d**2 + 64*d**2 - 3 - 1317*d**2 to the form i + b*d**2 + r*d and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - 5*w**3)*(5 + 2 + 3)*(202*w - 35 - 34 + 71).\nAnswer: -10100*w**4 - 100*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1258 is divided by 97.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 - 6732873.\nAnswer: -6732819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.611 and 0.0250114?\nAnswer: 0.6360114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, -3, -1.\nAnswer: -3, -1, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 141032 to the power of 1\/2, to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnnf when four letters picked without replacement from {w: 2, n: 10, f: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-15)*-4)\/((-4)\/(-10))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 90 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/7? (a) 2 (b) 1\/2 (c) -20 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 5*c**2 + c**2 - 2*c + c**2. Let m(i) = -2*i**2 - 2*i + 4. Let t(z) = 5*z**2 + 3*z - 7. Let y(h) = 7*m(h) + 4*t(h). Determine -2*b(o) + 3*y(o).\nAnswer: 4*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1383?\nAnswer: 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 540\/66 - (-96)\/(-12). Let w = -341\/1169 + 1\/167. Is x equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m + 14. Let y be x(0). Suppose 10*a - y*a + 364 = 0. List the prime factors of a.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 331, 330, 329, 328?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.206 to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -506958*f**2 - 3767434 wrt f?\nAnswer: -1013916*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -61 + 5\/(-25)*0. Let z = 130 + v. List the prime factors of z.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-2 - 7)) + (-1 - 5) + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.4570921 milligrams?\nAnswer: 457092.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z**2 + 1745*z - 9725 = 0. What is z?\nAnswer: -389\/8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-4) - ((-6)\/32 + (-172985208)\/2944)?\nAnswer: 2, 3, 7, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 t, and 1 r when three letters picked without replacement from {a: 2, g: 4, h: 4, o: 2, r: 1, t: 1}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.31 or 1.3963?\nAnswer: 1.3963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 5:40 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3642694641 + 1821347318 - 3*b**3 + 0*b**3 + 1821347323.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**5\/30 + 7*y**4\/24 - y**3\/6 + 5*y**2. Let z be l(-3). Sort -1, z, -6.\nAnswer: -6, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850024.\nAnswer: 2, 7, 43, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22213 (base 4) to base 16.\nAnswer: -2a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75212865?\nAnswer: 3, 5, 7, 13, 18367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45524 + 45526. Let m(x) be the first derivative of 49 - s*x**2 - 6\/5*x**5 - 32\/3*x**3 + 6*x - 7*x**4. Solve m(q) = 0 for q.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*p**2 - 106*p**2 + 35*p**2 + 26*p**2 + 26*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 124674 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1940156 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.615 - 13.65. What is the third biggest value in -0.2, l, 3\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131382499.\nAnswer: 29, 4530431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.28643 and 514183660.\nAnswer: 514183659.71357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 536114608 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -498 + 628. What is the second smallest value in 0.3, m, 2\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 48 = -4*m, -5*m + 5*z + 6 = -9. Suppose -3*b + m*b = 16. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 95 + -12137533?\nAnswer: -12137438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2299) + sqrt(2299) + -2)**2 + 5.\nAnswer: -44*sqrt(19) + 9202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*308.4629\nAnswer: -9.253887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/74864 and 109\/20?\nAnswer: 374320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 9*b**2 + 5*b + 1. Is q(7) 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 1148112 and 1133640.\nAnswer: 4824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/7? (a) 3 (b) 4 (c) -12 (d) 2\/213\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 3*a = 82, -4*v - 7*v + 5*a - 115 = -110 + 214 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 - 46. Suppose 4*h - 5*i + 0*i - 405 = 0, -3*i - 516 = -c*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 0*a + 2 + 0*a**2 + 5\/3*a**3. Let h(m) = m. Calculate x(h(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*d**4 + 7649*d**3 - 127814*d**2 - 277700*d + 16776 = 0. What is d?\nAnswer: -466, -2, 1\/17, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*y**3 + 93*y - 1710 wrt y.\nAnswer: -42*y**2 + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 209910*k. Let n(u) = -7*u**2. Give n(j(g)).\nAnswer: -308435456700*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 82 = -3*h - 8, 2*x + 52 = 2*h. Let c = 104 - 18. Calculate the remainder when c is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 417 - 532 + 5*r + 0*r. Let z be y(23). Sort -24, z, -1, -4.\nAnswer: -24, -4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uffb when four letters picked without replacement from ujbjjjjffbffjbjjjjfj.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 102202?\nAnswer: 102200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3150*d - 8162. Is z(-3) a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -768\nAnswer: -307.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 22*w**3 + 87*w. Let y(m) = 213*m - 42*m + 178*m + 86*m**3. Let n(u) = 9*x(u) - 2*y(u). What is the second derivative of n(p) wrt p?\nAnswer: 156*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 15439600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 850499\/259 + -23075\/7. Let z = f + -2\/111. Find the common denominator of z and -76\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -5. Let i = x - -6. Suppose 0 = -i*o + 5*o - 39. What is the remainder when 21 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -0.08 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/6)\/(12\/(-54)). List the prime factors of (75\/(-9))\/(1\/s).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 6 - 0. Let u be 4*(3 - (-15)\/z). Solve -12 = -5*b - u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (49\/(-70))\/(-25*(-77)\/(-55))\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492401.\nAnswer: 7, 13, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1375403, 2750804, 4126205, 5501606?\nAnswer: 6877007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from ghhhgg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 + 18*f + 128\/7.\nAnswer: -2*(f - 64)*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*k = -20*k - 3204 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264*i + 10791 = -89*i + 152*i for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -331432\/73 + 4540. Let x = 106\/1533 + g. Which is the closest to 1? (a) -2\/3 (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (26\/(-104))\/(2\/(-40)). Suppose 6*h - h + p*x - 265 = 0, 0 = -4*h - 3*x + 207. What is the least common multiple of h and 27?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3528*q - 8393*q + 2233*q to the form o*q + u and give o.\nAnswer: -9688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9266*r**4 + 3334*r**2?\nAnswer: -222384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 477 = r, -z - 3*r + 462 = r. List the prime factors of z.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -237, -184, -13, 336, 923, 1808, 3051?\n\"Answer: 10*i**3 - i**2 - 14*i - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (40\/(-6))\/(2\/(-6)). Suppose 0 = 3*r - u - 4*u - 12, -4*u = 5*r - t. Suppose r*l - l = 21. Calculate the remainder when 19 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1. Let c = 2 + -1. Let n(h) = 9*h. Let o(b) = -5*b. Let j(p) = 4*n(p) + 7*o(p). Calculate c*j(a) + r(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -3*o + 34. Find g, given that -3*g**3 - o*g + 54*g - 3*g**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*k**4 + 15*k**4 + 7*k**3 - 3*k + 2*k**3 - 8 - 10*k**3 in the form g*k**3 + r*k + i*k**4 + l*k**2 + t and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162308050?\nAnswer: 2, 5, 859, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 + 95 - 93) + -43.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1159272 to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 90344\/1964*(-2)\/((-4)\/(-1))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4392351*i**2 - 7349086*i wrt i?\nAnswer: 8784702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2 - 291491192*b - 10620889376697608 = 0 for b.\nAnswer: -72872798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1302 - -1305. Solve -o - 9 = y, 6*y - o = c*y - 7 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -2. Which is the closest to o? (a) -0.4 (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1373, -2706, -4039?\nAnswer: -5372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -188085900?\nAnswer: 1\/47021475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24321962 or 24321959?\nAnswer: 24321959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z - 6*z**4 - 4*z**4 + 2*z**2 + 18*z**4 - 5*z**4 to the form m*z**2 + y*z**4 + k*z**3 + o*z + t and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - 1 - 8\/3. Let z = -5 + 4.7. Let f = 2\/197 - 420\/2561. What is the biggest value in f, z, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873 is divided by 110.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2. Let f(k) = 8*k**2 + 23*k + 3. Let b(z) = 6*z**2 + 22*z + 2. Let g(y) = -3*b(y) + 2*f(y). What is c(g(n))?\nAnswer: -8*n**4 - 160*n**3 - 800*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 131589138?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/8 and 40\/1227.\nAnswer: 9816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - -2)\/8 + 3190\/4. Suppose -11*i + 5066 = g. Suppose -2*s = 3*f - i, 0 = f - 2*s + s - 126. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/(-11))\/(40\/(-8))*32\/12*9?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 - 91.999922. Round f to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-5)*n)\/n**(-6))\/((n*n**(-5\/2)*n*n)\/(n\/(n\/(n**7*n)))) assuming n is positive.\nAnswer: n**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-16)*2 + 18\/4. Solve 0 = 5*v - b*u - 29, v = 4*v - 5*u - 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of 0*q**2 + q**3 - 15 + 2*q + 1\/4*q**4. Let p be x(-3). What is the greatest common factor of 5 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 965929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 AM and 5:08 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 243*b**2 + b - 2. What is the tens digit of z(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-4))\/(7\/40).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 6*a - 1. Give y(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 453 = y + 13. Let n be 1\/3 - y\/(-3). Suppose -5*i + 592 = -3*g - 135, i = g + n. Calculate the highest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-1) - (-24 - -19). Let a(u) = 1. Let m(d) be the third derivative of -d**4\/8 + d**3\/3 - 3*d**2. Calculate g*m(h) + 2*a(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.15339498 - 64.05567502. Let z = -0.16093 + t. Let q = -64 - z. Round q to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1367 - -1370. Let y(d) = -4*d**3 - 3*d**2 - 1. Let s(f) = -f**2. Give b*s(m) - y(m).\nAnswer: 4*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1621, -1623, -1607, -1567, -1497?\n\"Answer: o**3 + 3*o**2 - 18*o - 1607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by -1?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/4*224\/1372. Which is the smallest value? (a) 2\/21 (b) z (c) -0.016 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32846440 divided by 38\nAnswer: 864380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3 = -7. Let z(i) = -1000000*i**2 + i + 1. Let t be z(y). What is t rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 1:32 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 688475.9l?\nAnswer: 688475900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -0.25 (b) -0.2 (c) 21.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/7 + 8*m**2 - 330*m\/7 - 900\/7.\nAnswer: -2*(m - 15)**2*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -53*j**4\/12 + 301*j**3\/6 - 287*j**2. Differentiate n(c) with respect to c.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2737 and 5831?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 12614128?\nAnswer: -9\/6307064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(128) + -1) + sqrt(128))**2 + -3 + -1 + ((-5 + sqrt(8)\/sqrt(4) + 1*sqrt(8))*-3)**2*-2.\nAnswer: 60*sqrt(2) + 3855","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjjztyzjiz. Give prob of picking 1 z, 1 y, and 1 i.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 592\/40 - 8\/20?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -12) + (1 + 0 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -44122012 (base 6) in base 15?\nAnswer: -1b041b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(931) - sqrt(931)*2 - sqrt(931))*-4 - sqrt(931)) + -2 + 3*sqrt(931) + 3 + -1 + 3)**2.\nAnswer: -140*sqrt(19) + 93101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -245 + 245.508. Let r = s - 55.108. Let z = r + 61. Round z to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -856996 (base 11) to base 9.\nAnswer: -2518333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*n = -2374 - 5330, -4*s + 5*n + 6141 = 0. Is 81 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*o*x - 2*b*x**2 - 12*b*x - 6*b + 2*o*x**2 + 1318*o*x wrt b.\nAnswer: 2*o*x - 2*x**2 - 12*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 221197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-55) + (-270)\/33 - (-7 - -2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -283 - -501. Let p = h + -214. Solve -c = -2*c - p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638\/3 >= 214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2126 = 3*x - 0*x, 0 = 5*l + 4*x - 2128. Let i be 28\/(-4)*(23 + 642\/(-21)). What is the highest common factor of i and l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 27 and -1040639955083.\nAnswer: -1040639955056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/183 and 74\/2943?\nAnswer: 179523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)*-5 - 4*(sqrt(176)\/sqrt(4) - sqrt(44)))\/(-2*sqrt(144)).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -16*r**3 + 1058*r**2 - 11. Let p(l) = -7*l**3 + 530*l**2 - 5. Calculate -3*k(g) + 7*p(g).\nAnswer: -g**3 + 536*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 34984*j - 209891. What is z(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -0.5 (b) 63 (c) 1\/450 (d) 4\/7 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -59455575401147 and -0.8.\nAnswer: -59455575401147.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k - 23. Let o be g(-7). Is o > 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135510261 (base 7) in base 13?\nAnswer: -1acc850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9442289*w - 24728476 with respect to w.\nAnswer: -9442289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + 3. Let d = 88 - u. Suppose 2*b = -o + d, -2*o + 3*b - 2*b = -155. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.7733 + 0.7733. Does 0.06595 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -39091?\nAnswer: -3909.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -147 (base 10) to base 16.\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(11)*2 + 5 + (sqrt(99) - (sqrt(99) + 1)))*-2)**2.\nAnswer: 2304*sqrt(11) + 8640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from uuuequeueeuueueeeuq?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-6)*(6 + 3). Let f be 1\/8 - (-279)\/72. Let b(x) = f*x + 17*x**2 + 7*x + 0*x**2. Let a(k) = -8*k**2 - 5*k. Give o*b(c) - 13*a(c).\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, x: 2, v: 1, w: 1, e: 2, i: 1}. What is prob of picking 1 i, 1 w, and 2 e?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ernunnuneununnnunnn. Give prob of sequence ee.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10443711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 554537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26670538.\nAnswer: 2, 97, 137477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0.14096\nAnswer: -2.14096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/9 and -117\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 - 26*n - 76*n + 11*n + (3*n + 2*n - 1 - 3*n)*(3*n + 0*n - 19 - 4*n).\nAnswer: -4*n**2 - 128*n + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277, -359, -449, -547, -653, -767?\nAnswer: -889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - -5. Suppose 2*t - 27 = c*n - 0*n, 0 = 4*t + 5*n + 21. Calculate the greatest common factor of 5 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11789*b**2*v + 446*b**2 + 4*b*v - 965980364*v wrt b?\nAnswer: 23578*b*v + 892*b + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00093402 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*j + j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (15 - 47) + 50 - 40?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 425040 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16101 or 11\/13?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b**2 - 72 - 24*b**2 + 46*b**2.\nAnswer: 2*b**2 - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/(-9) + -2)\/((-288)\/216). Put 3, 0.05, n in increasing order.\nAnswer: 0.05, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2622155837?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**2*n**3 + 494978*m**2*n**2 + 16*m*n**3 - 10*m*n**2 - 6*m*n + m wrt m.\nAnswer: -6*n**3 + 989956*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137\/344 + -1\/43. Let h be ((-20)\/(-2))\/(1 - -1). Let l = -4961 + 44653\/9. What is the second biggest value in u, l, h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*t**3 + 195*t + 1063 + t**4 + 31*t**3 - 1062 wrt t?\nAnswer: 12*t**2 + 402*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81819 + 6181 = -2*r. What is r rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**3)\/t**5*(t*t**4)\/(t\/(t*t**(-1)))*t**(-5\/6)*t**(2\/153) assuming t is positive.\nAnswer: t**(973\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 5*c**2 - 4*c + 6. Let j be o(4). Let w(u) = -u**3 + 5*u**2 + 6*u + 2. Let h be w(j). Solve -4 = h*t - 0*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-591)\/(-60) + (-2)\/8. Suppose 25*o - 3352739 + 3352689 = 0. Suppose 144\/5 + 4\/5*w**o + u*w = 0. Calculate w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*d, 5*q + d - 586 = 417. Let w = 516 - q. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*p = 77*p - 168. Let m be (-7)\/p + (-18)\/(-8). Solve -5 - 5 = -m*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3407\/44 - 750\/11. What is the second smallest value in -1\/8, f, -0.3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + v**2 + v. Let u(y) = 2*y**3 - 2*y**2 - y + 71. Let i(m) = t(m) + u(m). Let f be i(0). Suppose -4*p + 3*p + f = 0. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -p - p, -4*y + 2*p + 2 = 0. Put 0, y, -5 in increasing order.\nAnswer: -5, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 14*b**5\/5 + 41*b**2\/2 + 33. What is the second derivative of x(f) wrt f?\nAnswer: 168*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**3 + 4*p**3 + 3*p**3)*(-3 + 5 + 6 + (-3 + 4 - 3)*(0 + 0 + 1) - 1 + 2 - 3).\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 15918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 441722384 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8 = 2*u, 2*u - 3 = 3*h - 7. Solve 0 = -h*f + 7*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10397003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*g = 330*g + 9940 + 11312 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.15 (b) 3 (c) -2\/19 (d) 3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 14567088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/10*-9*30. Let q = -9020 - -9127. Let z = q - o. Which is the third smallest value? (a) 1 (b) -4 (c) 5\/8 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 divided by 169?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -1\/3 (b) 0.3 (c) -5 (d) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -35*o**2. Let k be a(3). Let d = 201 + k. Let l = d + 167. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 4\/3, 0.4, 406\/5, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180)\/sqrt(3))\/sqrt(4) + ((sqrt(60) + sqrt(15))*-6 - sqrt(15)))\/(-6*sqrt(180)*-2)*-6)**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -65 and 3.85.\nAnswer: -250.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 - 148*v + 820. What is the thousands digit of g(55)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*j - 5001*j = 4684*j - 2420*j - 36630 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3385*c**2*t**3 + 28*c**2*t - 36*c*t**3 + 41766*c*t**2 - 6*t**3 wrt t?\nAnswer: 20310*c**2 - 216*c - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 24. Let w(y) be the third derivative of -y**5\/60 + y**4\/4 - y**3\/6 + 7*y**2. Let t be w(5). What is the highest common divisor of b and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(32)\/sqrt(4)) - sqrt(81)*2)\/(1*-2*sqrt(3)*-1).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 8*i - 8. Let m = 25 + -32. What is g(m)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 5*g + 8. Let z(x) = -x**3 + x**2 + 5*x - 3. Let u be z(3). Let k be p(u). Solve -k + 2 = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 8*r**2 + 2*r - 9. Let l = 23 - 29. What is the tens digit of g(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*q + 14. Sort -5, 5, q in descending order.\nAnswer: 5, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*v + 15648 = -8*v. What are the prime factors of v?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 15\/100)\/(-3). Let y(j) be the second derivative of 1\/30*j**6 + r*j**5 - 1\/6*j**3 + 4*j + 0*j**2 + 0 - 1\/12*j**4. Find w such that y(w) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3*l**5 + 3874683*l**4 + 1251095425197*l**3 - 1251099299883*l**2 = 0.\nAnswer: -645781, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-10))\/(56\/(-5460)). Factor b*p**2 + 9\/2 + 39\/2*p + 9\/2*p**3.\nAnswer: 3*(p + 1)*(p + 3)*(3*p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.01*-0.1.\nAnswer: -1.901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y + y - 2*y)*(-837*y**2 + 1765*y**2 - 859*y**2) + 4*y**3 - 2*y**3 - y**3 to the form z + l*y**2 + r*y + b*y**3 and give b.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-7))\/(13*20\/130)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 9*s - 6*s)*(4*s**2 - s**2 - s**2) + 3 + 2 - 2*s**3 - 1.\nAnswer: 8*s**3 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 4*z**2 + 2*z + 2. What is r(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*u = 0. Suppose -3*c - c + 212 = u. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16869203 to the nearest integer?\nAnswer: 4107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14441?\nAnswer: 7, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*x - 7*x - 17*x)*(2*x**2 - x**2 + 0*x**2) - 6*x**3 + 8*x - 8*x)*(0 + 1 - 11) to the form j*x**2 + m + y*x + h*x**3 and give h.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4 = 3*f + 2*k, 3*f - 5*k - 14 = 0. Suppose f*l = 443 + 202. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -20. Put -2, s, 9 in ascending order.\nAnswer: -2, s, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*y - 52, 2*m - y - 28 = 3*y. Suppose 0 = 3*v + v - m. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-1)*b*b)\/b)**(-1\/2))**34\/(b**(1\/4)\/b**(2\/29))**(-8\/7) assuming b is positive.\nAnswer: b**(-487\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + u = 2, -4*u - 2 = -v - 0. Let m(h) = h**3 + h**2 + 2. Let g be m(-2). Let f = 90 + -92. Which is the nearest to f? (a) v (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003878498299 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n = 132. Let f = 78 + n. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-9)\/(f**11*f) assuming f is positive.\nAnswer: f**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 190048421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:35 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 20*r + 19*r + 17*r - 68*r + 16*r. Let f(b) = 19*b + 1. Give 2*f(t) - 11*z(t).\nAnswer: -6*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 36869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*h + 4*m - 394, -5*h - 4*m - 1551 = -1637 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 4*z**2 - 3*z + 1. Let h be a(2). Suppose 4*v = 2*f + 30, -8 + h = f. What is the least common multiple of v and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18616?\nAnswer: 2, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -560*t + 60. What is the tens digit of k(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -13*n**5\/5 - 20*n**3\/3 + 4. Find the third derivative of p(m) wrt m.\nAnswer: -312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u + 2*u + 8*u. Let s(c) = 3*c. Suppose 0 = -0*v + 4*v - 20. Let k(w) = v*s(w) - 6*z(w). Let a(o) = 4*o. Determine k(a(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -9\/2 (b) 0 (c) -192205\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-13 - -1) + -3)*(-55)\/15. Let i = b + 19. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -24. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j - j**2 + 2*j**2 + 0*j**2 + j**2 - 2. Let c(q) = -q - 1. Give -c(z) + l(z).\nAnswer: 2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + 6*sqrt(114)\/((sqrt(72)*5)\/sqrt(12)))**2.\nAnswer: 684\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -209*f**3 - 34*f - 2 wrt f.\nAnswer: -1254*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owbwyfyyqfbbow. Give prob of picking 1 o, 2 w, and 1 q.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -139 + 242 + 6800*k - 33059*k - 103 as j*k + f and give j.\nAnswer: -26259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 9586*x**3 - 22780329*x**2 - 922748360*x - 9265987600.\nAnswer: -(x - 4813)**2*(x + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 2\/35*m**7 - 12 + 33\/40*m**6 + 9\/5*m**5 + 7\/8*m**4 + 0*m - m**2 + 0*m**3. Find f such that s(f) = 0.\nAnswer: -7, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdhvdddhhddwwwhdd. What is prob of picking 2 d?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -256, 3, 1, -2 in increasing order.\nAnswer: -256, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1948 is divided by (-4 - 8 - -2)\/(10\/(-45)*3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*g - 37 = 43. Suppose -887*q - g*q**4 + 10*q**3 + 10*q**3 + 907*q - 5 - 30*q**2 = 0. Calculate q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from puaaudj. What is prob of sequence jd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0*y*y**(-1\/10)*y)\/(y**(-1\/3))**(1\/11))**(2\/7) assuming y is positive.\nAnswer: y**(91\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3532822607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -481 or -480?\nAnswer: -480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*t**2 - 5 - 5 + 10.\nAnswer: 396*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-9)\/9)\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**2 - 2*j**2 - 5*j**2 + 3*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2101 - -16)*(-44)\/66. Sort d, -4, -3 in decreasing order.\nAnswer: d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 45 - 40 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -2*b - 5, 3*x + 3*b = -0*b + 24. Suppose l + 3*t - 24 = -2*t, -x*l + 5*t = -12. Let a = l - -6. What is the smallest common multiple of a and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2060 and 2478695?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 222100 (base 4) in base 14?\nAnswer: db2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*a = 22868 + 131528. Is 1276 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*((-744)\/(-40) + -18)\/(3\/(-2)). Find j such that a - 2\/15*j**5 + 2\/5*j**4 - 2\/15*j + 4\/15*j**3 - 4\/5*j**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.128 - -0.085. Let d = 7.043 + r. Is 7 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 260231964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3, -7, -15, -33, -67?\n\"Answer: -t**3 + 4*t**2 - 9*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -32 at least -2450\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + 41034*g**2 + 3830967*g + 3789936.\nAnswer: 3*(g + 1)*(g + 93)*(g + 13584)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a82ac + -6c9?\nAnswer: a78b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.26 - -0.46. What is the closest to g in -0.2, -1\/7, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a - 75*a + 8*a + 22*a + 19*a + 13*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 436380945 and 268542120.\nAnswer: 3491047560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 5*p**2 + 7*p - 6. Let d be t(4). Let w be 9\/d*24\/(-52). Let o = 659\/182 + w. What is the common denominator of o and -87\/16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1578728 - -1?\nAnswer: -1578727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.021 - 0.176. Let l = 89966 - 89966.155127. Let m = l - b. Round m to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 + -4a5?\nAnswer: -47a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 3354*y + 43779. Determine s(-13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44844719*g**3 - 51834158*g**2?\nAnswer: 269068314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -749 + 756. Let r be -16*s\/70*5. What is the nearest to r in 0.2, 5, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 576765844 to the nearest integer?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2 - 4*x + 3*x**2 - x**3 - 2*x + 4*x**2 + 9. Let v be k(6). Solve 2*d = -1 - v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -266 and -0.2?\nAnswer: 53.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 129*s**3 + 4908*s**2 + 4779*s = 0.\nAnswer: -1593\/43, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 158, 405, 726?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*i**4 + 0*i**4 - 3*i**4)*(4 + 1 + 8) + (2 - 2 + 2*i**2)*(2*i**2 + 2*i**2 - 2*i**2) + (2 - 1 - 3)*(-i**2 + i**2 - 2*i**2)*(4*i**2 - 2*i**2 - 4*i**2).\nAnswer: 113*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 765?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - u - 8, 4*u = 2*l - l - 23. Suppose -4*r - 4*z + 14 = -6*z, 5*r + l*z = 23. Solve -k = 5*f - 0*f + 1, 4*k - 2*f + r = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2574829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -15400000 rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1086*a - 1010*a + 2108*a. Let v(r) = 29*r. Determine v(h(l)).\nAnswer: 348*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*p - 165 = -0*k, k + 167 = 2*p. Let a = k + 249. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8468 + 8504. Calculate the remainder when 23864 is divided by m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1840518, -3681053, -5521582, -7362105, -9202622, -11043133, -12883638?\n\"Answer: 3*y**2 - 1840544*y + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3023030 (base 5) in base 6?\nAnswer: 1012335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-15)\/u)\/u)\/u*u*u**(-9) assuming u is positive.\nAnswer: u**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 165*i**3 + 197*i**3 + 2*i + 2*i**4 - 364*i**3 + 435 as d*i**2 + w*i**3 + f*i**4 + u + n*i and give u.\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1970?\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51143848 + -51143845.99999995. Let b = -5 - -3. Let u = b + s. Round u to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {c: 1, w: 12}?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 12:19 AM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-4*(-5)\/15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = q - 3*q - 35, 4*b = -5*q - 45 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1599 + 1601. Let w = -185 + 439. Suppose -3*p = -0*p + 5*s - w, -d*p + 164 = -2*s. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 36 = 12*v. Let o = 1.59 - 0.19. Which is the second biggest value? (a) v (b) -0.5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = -v - 2*v. Let o(y) = -y**2 - 51*y + 427. Calculate the remainder when v is divided by o(-58).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 785*s**2 + 413*s**2 + 3*s - 3*s**2 + 20*s**2 + 0*s + 2.\nAnswer: 1215*s**2 + 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2153.57 - -2135. Let s = 17.7 + n. What is s rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -15. Suppose 0 = -4*o - n - 51 + 206, 5*o = 2*n + 184. Suppose 5*h = 2*y - 14 - 10, 4*y - k*h - o = 0. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 4 = 4*m, 21 - 6 = 5*m. Solve -y*r = 3 + 29 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.004 + 0.104. Let f = 2 + -2. Let p = -2 + f. Which is the second smallest value? (a) 0.4 (b) n (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/7, -0.4, -2\/7, 2\/9, 3, 22.5, -3182?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*n - 8*n - 50. Calculate the highest common factor of n and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, r: 8}. What is prob of picking 1 r and 1 s?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 4 (b) -5 (c) 107.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**6\/40 + g**5\/20 + g**4\/8 - g**3\/2 - 8*g**2. Factor l(o).\nAnswer: -3*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163*-1.794.\nAnswer: 292.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -771*u + 731*u + 1 = -79. Solve u*b + 4*c = -22, c + 0*c + 8 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 q when two letters picked without replacement from qcnqqqccqqqchqq?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.0939 + 1.0539. Let w = -1 - -1. Which is the closest to j? (a) -4 (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 + -69. Let u = 6 + -6. Suppose -q = -u*w - w + 10, m*q = -15. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189631 divided by 1?\nAnswer: 189631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0.3. Let y be 2\/(-10) - (-35)\/50. Which is the nearest to 0? (a) y (b) z (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g - 20. Let f be j(-13). Suppose -f*q + q = -120. What is the highest common divisor of 120 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12\/19 + -41\/95. Let r = 3.3 - -0.7. Let f = 3.5 - r. What is the third smallest value in s, f, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**3 + 110*o**2 - 295*o + 190 = 0. What is o?\nAnswer: 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -207*g**3 + 1093*g + 784060.\nAnswer: -621*g**2 + 1093","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - 0.1. Let t = 2 + -5. Let g = -3.63 - 0.37. What is the closest to d in g, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6*s = 6. Suppose -s*y - 50 = -848. List the prime factors of y.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92859.\nAnswer: 3, 13, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 2292433.\nAnswer: 13754598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.2, -5\/4 in ascending order.\nAnswer: -5\/4, -0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -23*y**2. Let j(u) be the third derivative of u**7\/840 - 37*u**4\/24 - 27*u**2 - u. Let t(i) be the second derivative of j(i). Determine z(t(b)).\nAnswer: -207*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 + 0*l**2 + 0*l**2)*(-598 + 295 + 12250*l + 276*l + 303) to the form j*l**2 + x*l + h*l**3 + y and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 721691808 and 1021.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1044\/810)\/29*(27\/(-18) - (-17)\/8)\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = -5*h + 627, 130 - 489 = -5*l - h. What is the highest common factor of 16571 and l?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22555*x**6 - 12 - 7*x**5 + 7*x**5 - 24529*x**6 - 132*x**2 wrt x.\nAnswer: -236880*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -41665*u + 6204. Is g(-23) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -15*m + 60. Let f be o(4). Solve -2*z + c = -3, f = 2*z + c - 0*c - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -46 - -54. Suppose -d*r + 134 = 118. Solve -s = -3, r*p + 11 = 5*s - 0*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -71, -47, -3, 67, 169, 309?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1885495591?\nAnswer: 7, 1373, 196181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -4 (b) -3\/2 (c) -441 (d) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g = -0*g - 70. List the prime factors of g - -3 - (-2 + (1 - 301)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -1446a?\nAnswer: -14468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.168670102*-0.1.\nAnswer: -0.0168670102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + (sqrt(8) - -1*2*sqrt(8)))\/(-4*sqrt(36)).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 6*p**2 + 7 + 7*p**2.\nAnswer: p**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 2*s + 1335*s**3 + 35434*s**3.\nAnswer: 36769*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 757 plus -0.03126?\nAnswer: 756.96874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 5*h**2 - 15 - 3 + 13*h - 4*h**2 - 2*h**2. Let f(p) = -2*p**2 + 26*p - 35. Let z(s) = -5*a(s) + 3*f(s). What is the units digit of z(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282379 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b + 1278?\nAnswer: 1249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*g + 36 = 0. Suppose 0 = 5*z - z + 5*a - g, 4*a = z - 3. Suppose -z*w = 2*w - 20. Let l(q) = q**2 - q. Give l(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 12e?\nAnswer: 12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 215*x + 5156. What is l(-24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7817300 to the nearest 100000.\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 253 + 105*h**3 + 0*h**5 - 123\/7*h**7 + 0*h**4 + 0*h**6 + 0*h**2 + 0*h. Find the third derivative of a(w) wrt w.\nAnswer: -14760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7931 + 7*s**2 - 7931.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 139*v**2 + 53*v + 3386. Let c(t) = t**3 + 126*t**2 - 54*t - 3385. Let x(o) = -11*c(o) - 10*j(o). What is the first derivative of x(a) wrt a?\nAnswer: -3*a**2 + 8*a + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 28971*o**2 + 28950*o - 173808.\nAnswer: 3*(o - 2)*(o + 3)*(o + 9656)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvt when three letters picked without replacement from {t: 12, k: 1, v: 7}.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l**2 - l + 334. Suppose 8*a - 11 = -11. Calculate the remainder when z(a) is divided by 68.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 204 and 21414.\nAnswer: 728076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1427538\/(1681\/41) - 7\/1*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + g + 730, g - 3*g = 4*l - 724. Suppose -11*s - 39 = -l. Is s <= 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 34*n - 111. Sort 203, -3, n, 2 in descending order.\nAnswer: 203, n, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1561 = -4*i + 5*n, -n - 3*n - 20 = 0. Suppose 2*f = -f + i. Calculate the highest common divisor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 15) to base 9\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (8 - 3)) + 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i + 34*i - 96 = 0. Which is the third biggest value? (a) -1\/3 (b) 5 (c) i (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*l. Suppose -g - 8 = -5*g. Solve 0 = a - h - 2, 4 = a - g*h - l*h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 94512*o + 744376512.\nAnswer: 3*(o - 15752)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 9*r**3 + r**2 + 7086*r - 14168. Determine s(2).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**7\/x*x*x)**(15\/2) assuming x is positive.\nAnswer: x**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 11468621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/13392 and 92\/6097545?\nAnswer: 97560720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 147*v**3 + 30*v**2 - 50*v - 1. Determine z(2).\nAnswer: 1195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*((sqrt(11) + 1 + 1 + sqrt(11))**2 + 4).\nAnswer: -624 - 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 160 + -479\/3. Which is greater: -0.22 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 6*y**2 - 6*y - 4. Let s = 6 + -11. Determine h(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3317 - 3343. Which is the smallest value? (a) 1 (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 16*y - 22. Give d(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(156) - (1*sqrt(156)*6 - sqrt(156)))*2)\/(sqrt(132)\/(-1*sqrt(1331) + sqrt(11) + sqrt(11))))**2 + 2 + -2.\nAnswer: 67392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4062 (base 9) to base 2\nAnswer: 101110011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.9, -2\/5, -13\/3, 4\/19457?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49\/(-49) - (-2)\/10.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 5*g**2 + g + 4. Suppose -1062 = -23*f - 372. Suppose -f = -6*q + q. What is o(q)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 9*l - 67 = 0. Let t = 73 + l. Does 6 divide 243\/t*(-8)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/(sqrt(3)*-2))\/((sqrt(30)\/sqrt(2))\/sqrt(3)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1749, -3579, -5409, -7239, -9069, -10899?\n\"Answer: -1830*o + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 521 - 523. Let q be (20\/(-70))\/((9 - -2) + -2). Let v be (3\/(-15))\/(4 - 3). Which is the third biggest value? (a) q (b) -0.3 (c) v (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-3.29\nAnswer: -13.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**3 - 18 + 183*f**2 - 183*f**2 to the form r*f + j + a*f**2 + c*f**3 and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a**(-2)*a))\/a**13)\/(((((a*a**(2\/23)*a)\/a*a)\/a)\/a)\/(a**9*a)))**12)**(10\/7) assuming a is positive.\nAnswer: a**(-3000\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = u - 2*q + 112, 117 = u - 3*q. Suppose 17*s = 79*s - 1798. What is the remainder when u is divided by s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109166400 rounded to the nearest one hundred thousand?\nAnswer: -109200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 18 = -0*r. Suppose 6*x - x - 255 = 0. What is the remainder when x is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 198253 and 2948?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 6:43 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g + 3. Let s(u) = 8*u - 2. Let x(l) = -23*l + 5. Let a(k) = -11*s(k) - 4*x(k). Calculate -3*a(b) + 2*o(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/324*9)\/((-3)\/414*2).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*j**2 - 1\/6*j**4 - 5\/6*j + 1\/6*j**3 + 1\/3.\nAnswer: -(j - 1)**3*(j + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 9548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*r - 3*t - 15, -5*t - 3 = -r. Let p(f) = -f**3 + 2*f**2 + 5*f - 2. Let o be p(r). Suppose o = n - 4. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -500 + 522. Solve 3*b = 2*r + 8, 6 = -5*b + 4*r + y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, -41, 2 in increasing order.\nAnswer: -93, -41, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 186, 371, 690, 1143, 1730, 2451?\nAnswer: 3306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -76671a1?\nAnswer: 76671a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107424\/48 - (5 + -2 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -11. Let y be l\/(3 + 7\/(-3)). Find the first derivative of -i + 9 + 9*i + 4*i - y*i wrt i.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3\/3 - 7465*a**2\/3 + 1090664*a\/3 - 4243280\/3 = 0.\nAnswer: 4, 145, 7316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1580681 divided by -73.\nAnswer: 1580681\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o**3 + o**3 + 0*o**3)*(0 - 2 - 2 + (3 - 4 - 1)*(2 + 1 - 4) + 6 - 1 - 3 - 196 - 712 + 210) as h*o + q*o**3 + x + v*o**2 and give q.\nAnswer: 1396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/10 - ((-19789)\/55 - -10). Suppose 0 = 20*g - m + 50. Solve -7*v = -4*v - g for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7843 (base 9) to base 14\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/40 and -7\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/819657 and -25\/3294.\nAnswer: 4917942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.09 - -3.6. Let t = s + 0.29. Let f be 3\/15*(-2)\/(-3). What is the nearest to t in f, 0.5, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1986\/(-12) - (2 - 10\/4). Let x be u\/(-9) - (-2)\/3. Let a = 37 - x. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 24*f**2 - 14*f - 132. Is 15 a factor of d(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162 (base 8) to base 3\nAnswer: 11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*z = 114. Suppose l = 2*x - 18, 3*x - z = -0*x - 4*l. Let q = 1883 - 1873. Solve -5*m + q = 5*a, -a + x = -0*m + 3*m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.00203 - 192699341.\nAnswer: -192699340.99797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2633, -5009, -7373, -9719, -12041, -14333, -16589?\n\"Answer: n**3 - 2383*n - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 l, and 1 d when three letters picked without replacement from {d: 1, l: 1, j: 12}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r - 20. Let t be s(8). Put 5, t, 3 in increasing order.\nAnswer: 3, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**4\/24 - n**3 - n**2. Let u be r(-10). Find the first derivative of -4*m - u*m + 4*m - 4 wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5526*a. Let h(x) = -x. Determine n(h(z)).\nAnswer: 5526*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 369.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*u = -14*u + 702 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*j - 3*h + 48, 100 = 5*j - 5*h. Solve j*w = -37 - 23 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -38938 - -6561?\nAnswer: -32377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -64 in 1.8, -0.0448, 1\/10, 0.4?\nAnswer: -0.0448","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/14 - 5\/(-1) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -4\/3*l**3 + 1\/4*l**4 - 2*l + l**2 + 12. Determine d(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -503, -3, 30 in decreasing order.\nAnswer: 30, 1, -1, -3, -503","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 5:03 AM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 810783 and 13473?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2052883003?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2484912287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 21*q**2. List the prime factors of s(1).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4*n - 4, 0*n - n - 7 = -3*z. Let u(t) = 2*t**3 - 21*t**2 + 14*t - 34. Let o be u(10). Solve 4 = o*m - z*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*t - 30, -d + 388850 = 5*t. Round d to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - sqrt(76)\/(sqrt(64) + sqrt(4))) + sqrt(304)*-5 + 5)**2.\nAnswer: -192*sqrt(19) + 175729\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000006824965319 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40524 (base 8) in base 2?\nAnswer: 100000101010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22712 and 56058894.\nAnswer: 5678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 180*f**2 + 974*f + 142165. Give c(-179).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 520 - 110. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gllkkjnlgkkklg. Give prob of picking 1 l and 1 k.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7328, -14461, -21594, -28727, -35860, -42993?\nAnswer: -50126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/12)\/(3 + 76\/(-24)). Let l = 8 - 18. Let z be (l - -101) + 0*1\/d. Calculate the highest common divisor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2\/7 - 2932*u\/7 - 2934\/7.\nAnswer: 2*(u - 1467)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 3*l**2 + l + 12. Let s be a(-3). Suppose -s*p = -12*p + 570. Let r = 125 - 49. What is the greatest common divisor of r and p?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2. Let v(p) = p**3 + 4*p**2 - 30*p - 8. Let d be v(4). Suppose d = -5*f - 5*s + 6 - 11, 4*s = -12. Put r, 4, f, -4 in decreasing order.\nAnswer: 4, f, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 55?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 2*r - 1. Let c(k) = -k**2 + 2*k + 11. Let d be c(4). Give v(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-206 - 202 + 345*i + 406)*(1 - 4 + 2) in the form l*i + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 54?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -9, -7, 1047, 5, -5, -2 in increasing order.\nAnswer: -9, -7, -5, -2, 5, 8, 1047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by -110380.\nAnswer: 9\/5519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2. Let y(q) = 0*q - 2*q - q. Give i(y(w)).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128 a factor of 154898693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9667817 is divided by 416?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*n**3 - 3*n**2*v**3 - 3*n*v - 36*v**3 wrt n?\nAnswer: 132*n - 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 264 and 8163768?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 430638 - 430638.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-124)\/4 + 7 + 3. Let h = -11445\/4 - -2840. Let k = a - h. What is the third smallest value in k, -1, -1\/2, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 9, q: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000685039 to 5 decimal places.\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1960)*4 + (sqrt(40) - sqrt(1960)*1) + sqrt(40) + sqrt(40))\/((sqrt(32) + (sqrt(96)*2 + sqrt(96))\/sqrt(3))\/(2*sqrt(100))).\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + ((-285)\/19 - -9).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -36, -0.069 in ascending order.\nAnswer: -36, -0.069, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4 + (sqrt(2057)*4 - sqrt(2057))) + 0 + 4)**2.\nAnswer: 528*sqrt(17) + 18577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.2? (a) 1\/3 (b) 5 (c) -636 (d) 2\/7 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 5*u + 4. Suppose 39 = -25*d + 38*d. Determine v(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 180 and 183 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113773 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4*(5 + 0 + -49). What is the second derivative of -l*d**5 - 16*d + 16*d**5 - 26*d**5 wrt d?\nAnswer: -420*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03706 - 0.07706. Which is bigger: -0.652 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 - 37 + 14)*((4*p**2 - 2*p**2 - 4*p**2)*(-p**2 - 3*p + 3*p) - 7 + 4*p**4 + 8 - 3*p**4).\nAnswer: -216*p**4 - 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 1 (b) 4 (c) 0 (d) 0.4 (e) 263\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Let h(y) = -2*y**2 + 3*y. Let q be h(x). What is the tens digit of q*((-98)\/4 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - u - 8. Give d(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 851235 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*y = -4643 - 505 for y.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4104912?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2240946456 to the nearest integer?\nAnswer: 47339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = q + 4*q - o, -3*q - 3*o - 3 = 0. Let u = -1692\/11 - -154. Which is the second smallest value? (a) q (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1340 (base 5) to base 11\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 6*h + 15. What is the remainder when 55 is divided by j(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120122 - -212021000?\nAnswer: 212211122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 4, -1.199?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 4:56 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -262? (a) -1 (b) 17\/9 (c) 0 (d) 0.1 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -9. Let i be (2\/(-6))\/(2\/(-6)). Let w be (-17)\/4 + i\/4. Which is the nearest to -0.2? (a) f (b) w (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 16) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-6)*(-918)\/4896?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - n = -59, 0 = -4*x - n + 2*n - 48. Let s = -8 - x. Let k = 28 - 19. What is the highest common factor of k and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64921824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -0*n - 5*n + 22, -3*n - 10 = 4*l. Let a be (-2*3)\/(2*-1). What is u in 4*u - u**4 + 0*u**2 + u**n - 5*u + u**a = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-168)*-10)\/(395\/(-474))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 385.1936 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 3*x + 3. Let l = -22 - -16. Let g be (9\/(-6))\/(l\/(-12)). Let u be j(g). Calculate the highest common factor of 21 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -9 - ((4 - (3 + 3)) + 4) - -12.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2213*z**5 - 2*z**2 + 49?\nAnswer: -132780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2840, -2849, -2874, -2915, -2972, -3045, -3134?\n\"Answer: -8*r**2 + 15*r - 2847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -41.1 * -0.17287\nAnswer: 7.104957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 60*y + 13. Let r be j(13). Let p = r - 6381\/8. Let z = -91283\/10 - -9140. Calculate the common denominator of p and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {m: 1, h: 1, q: 1, x: 2, y: 11}.\nAnswer: 11\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1247 divided by -233.\nAnswer: -1247\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*b + 159*b - 365 = -60*h, -2*h - 241 = -5*b for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5 + -10)\/(2 - (-213)\/(-106)). Suppose 5*c - 219 = d + o, 5*c + 5*d - 725 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 166 + -70. Let p = 28 - q. Let h = p + 67.999977. What is h rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/9 in -1.4, -0.5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9 - (0\/1 + 3). Suppose -i = 3*s - 18. Suppose -4*m + 2*o = -3*o - s, 5*m + o - 34 = 0. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 - 2*w + 4. Let z be b(2). Let s be 2\/(-2)*(-14 + z). Suppose s*g - 507 = -o, 0 = -4*g - 0*g + 20. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3309 (base 14) to base 15.\nAnswer: -2939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 197*t - 197*t - 5*t**2 to the form j*t**2 + i*t + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-42)*128\/36)\/(6168\/(-7196)).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 4*d = -23, 4*n + 57*d - 6 = 60*d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -289628*j**3 + j**2 - j - 6361062?\nAnswer: -868884*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1001000 (base 2) to base 3\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -f**4\/3 + 8*f**3\/3 + 76*f**2\/3 - 368*f\/3 + 128 = 0.\nAnswer: -8, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3 + 9 - 21*a + 8 - 881*a**2 + 206*a**2 - 1479*a**2. Let h be j(20). What is h rounded to the nearest 10000?\nAnswer: -860000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 2*x + (-3 + 1 + 1)*(-x + 2*x + 0*x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -520 (base 6) to base 7\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {w: 10, q: 2, g: 1, j: 4, t: 1}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 1427 - 287 = 0. Let a = g - 108. What is the least common multiple of a and 148?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -12*c**2 + 9026*c + 18048. Calculate a(-2).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*a = 76, 0 = 5*a - 2*a + 12. Let n = g + -13. Suppose -d + n + 13 = 0. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00071453 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16534745 and 2780?\nAnswer: 66138980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 109167427389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -5. Let z = -5.88 - -3.88. Which is the third smallest value? (a) z (b) -0.5 (c) m (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8*d**2. Let h(j) = 75*j**2 - 548. Determine h(b) + 9*r(b).\nAnswer: 3*b**2 - 548","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6846220\/81 != 84522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -179241 divided by -52?\nAnswer: 179241\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -204, -0.05 in increasing order.\nAnswer: -204, -0.1, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5008, 19752, 44222, 78418?\nAnswer: 122340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, -16, -130 in descending order.\nAnswer: 8, -1, -16, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -33*h - 26*h + h - 4*h + 2*h. Let f(k) = -15*k. Calculate f(u(d)).\nAnswer: 900*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 7*i - 5. Let m be l(4). Let f(g) = g**2 - 5*g - 9. Let k be f(m). Find the third derivative of -q**2 + q**5 - 3*q**2 - k*q**5 wrt q.\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(1872)*1)**2.\nAnswer: -120*sqrt(13) + 9365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -58*c + 47*c. Is -98\/11 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**4\/4 + 7*c**3\/3 + 3*c + 5. Let q be x(7). Find i, given that -2*i + i**3 - i + 2*i**q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 22*t + 21. Let g be y(-23). Let a(n) = n**2 - n - 4. Give a(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 24*i - 12. Let r be f(23). Calculate the highest common factor of 44 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-2) + 8 + -7*(7 - 6)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -145411, -2\/41, -3, 1\/17 in decreasing order.\nAnswer: 1\/17, -2\/41, -3, -145411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**3\/4 - 93324935*f**2\/2 - 435477221300175*f - 870954255950490 = 0.\nAnswer: -18664986, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 8*b = -58. Let q = -19 - b. Suppose -4*v - 1230 = -q*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 153, 359, 647?\nAnswer: 1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20340 by 3390.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.03 - 0.03. Let v = -0.1 - -0.2. Let x = 0.05 + -3.05. What is the closest to v in w, 0.1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -8, -0.1, -4\/5, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - -47. Let y(q) be the first derivative of -2\/5*q**5 - a - 3\/2*q**2 + 0*q + 0*q**3 + 0*q**4. What is the second derivative of y(d) wrt d?\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.6 * 0.763569.\nAnswer: 15.7295214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g + 6. Let h be d(4). Let t = -843 - -846. Suppose t*s - h*o = 47 + 14, 0 = -5*s - 4*o + 65. 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 1122012211001 (base 3) in base 11?\nAnswer: 544955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 7, y: 12}. Give prob of sequence ala.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*b**4 + 3*b**4 + 4*b**4)*(-3 + 0 + 1)*(-7 - 8 + 21).\nAnswer: -252*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 112*q - 334. Let i be o(3). Sort i, -2, 18, -1.\nAnswer: -2, -1, i, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5335*g**2 + 21336*g + 33. Calculate f(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 2175830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -7\/1508 (c) -2.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Put together 329.8 and 0.3.\nAnswer: 330.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 5*h + 9, 0*k + 3*h = -k + 3. Suppose 9 = -k*w + 21. Solve -4*r + w*o + 12 = 0, 0 = 2*r - 3*o - 0 - 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274078 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2798*y**4 - 210*y**4 - 24*y**4 + 5 - 5 - y**4 + (0*y + 2*y - y)*(-y**3 + 0*y + 0*y))*(3*y + 2*y - 4*y + 1).\nAnswer: -3034*y**5 - 3034*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/2 - (1582 - 1584).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - i = -32, -93*i = 5*f - 98*i + 40 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 12800*d + 10240000.\nAnswer: 4*(d + 1600)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of -f**5\/20 - f**4\/2 + 7*f**3\/6 - 3*f. Let q be n(-7). Is 1 - (q + -81 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + g)*(8*g - 2*g - 2*g)*(-1 + 1 - 2*g + (3 - 4 + 0)*(0 + 0 + 2*g)) in the form p*g + b*g**3 + j + s*g**2 and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 13*r - 11. Give c(-4).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 greater than or equal to -6\/265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(110)*-2 - sqrt(110))\/sqrt(10) - -1*(-1 + sqrt(704))**2.\nAnswer: -7*sqrt(11) + 705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3 - (-21)\/9. Suppose -s*b = 3*b. Let d(v) be the second derivative of -v**3\/6 - 5*v**2\/2 + 2*v. Determine d(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1319405 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 964260?\nAnswer: 2, 3, 5, 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274, 839, 1786, 3121, 4850?\nAnswer: 6979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1446*j**2 - 16. Let m be v(-6). Suppose -g - 1613 = -89585. Let k = m + g. Round k to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2290*q + 6. What is z(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1300) - (sqrt(1300) + -1) - sqrt(1300))*-1*3.\nAnswer: -30*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89340*i**3 + 2*i + 82128 wrt i?\nAnswer: 536040*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 1 - (-14 + (-4 - -7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 33 = -3*g + 4*i, 4*g = -i - 9. Suppose -5*w = 5*s + 5, s - 3*w - 5 = -2*w. Let v be 0\/((-8)\/(s - 6)). Put 3, v, -1, g in decreasing order.\nAnswer: 3, v, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c - 2*c + 6*c - 4*c**3 wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 909835?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 6656\/364)\/((-1)\/133).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + p)*(5 - 3 + 3)*(-5*p**2 + 4*p - 4*p) to o + b*p + k*p**2 + r*p**3 and give r.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2. Let h(b) = 35*b + 2. Calculate h(c(n)).\nAnswer: -70*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 1, 4856?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 347 + 2780. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*l**3*x**2 - 266*l**3 + 3*l**2*x wrt x.\nAnswer: -90*l**3*x + 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8001 and 60452.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239116.7*227.\nAnswer: -54279490.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8015423, -8015426, -8015429, -8015432, -8015435?\n\"Answer: -3*d - 8015420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3738 + 1078. List the prime factors of i.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d - 52. Let u(m) = m - 17. Let s(y) = 2*p(y) - 7*u(y). Let k be s(7). Calculate the highest common factor of k and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 39*b + 97. Let t be k(-39). Let d = -95 + t. Solve -5*w + 2*f + 4 = 0, -d*w - f - 4 = f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -12 + (-306)\/(-27) - 17\/(-3). Solve -4*y = 3*w - d, -7 = -3*y - w + 3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1\/3, -1, 3.4, -4, 0.14 in decreasing order.\nAnswer: 4, 3.4, 0.14, -1\/3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/569, -1\/3, 19, -5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2 - 2)*(-p**3 - 2*p**3 - 4*p**3) + p**2 - p**2 - 2*p**4 + 5*p**4 + 2*p**4 - 4*p**4.\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*p**2 + 1 as i*p**2 + k + g*p and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 2, j: 1, z: 3}. What is prob of picking 1 j and 2 h?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from {l: 1, w: 1, k: 1, i: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 126806.3 micrograms in tonnes?\nAnswer: 0.0000001268063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.861 - -0.039. Round o to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a = 0. Let n(y) = a*y - 2 + y - 5*y + 3. Let z be n(1). Round z to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 3*b**2 + 0*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76 and 26?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11894 is divided by 2371?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93110 = 2*o - 4*o - 4*d, 0 = -2*o - 3*d + 93112. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2260 - 1436. Is w less than 825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = v - 0*s + 2*s, v + 3*s - 11 = 0. Calculate the smallest common multiple of v and 22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -14*y + 11*y - 5*b, -y + 3*b = 11. Suppose 3*o - 3 = 6. Let s(v) = 5*v**3 - 3 + v**2 - v + o. What is s(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 3.92.\nAnswer: 3.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 1 + (2 - (-2 - -10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -40 + 20 + -5 + 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.5, 0.3, -2\/7, -116.101 in decreasing order.\nAnswer: 7.5, 0.3, -2\/7, -116.101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5 + 5 + sqrt(1539)*-3 - (-1 + (sqrt(1539) - (5*(sqrt(1539) + sqrt(1539) + sqrt(1539)*2) + sqrt(1539))))) + -3)**2.\nAnswer: 1530*sqrt(19) + 444796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**3 + 297*r + 2*r**2 - 296*r - r**2 + 1 to s + x*r**2 + h*r**3 + d*r and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7131504 divided by -1782876.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1494 divided by -6.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-18 - 13) + (90 - 32)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(4\/3)*p)\/p)\/p**(9\/2)*p*p**4*p**10 assuming p is positive.\nAnswer: p**(77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**3 + 4*t**2 + t - 4. Let l(z) = -8*z**2 + 1039*z - 9*z**3 - 1040*z + 11 - 3. Let c(a) = 3*l(a) + 5*w(a). Factor c(x).\nAnswer: -2*(x - 1)*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 267*s**4\/2 + s**3\/3 - s**2\/2 + s + 8. Is r(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59923 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z + 7. Let x be (-3 + 2)*1*22. Let s be x\/5 - 6\/10. Is t(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 836*w - 40 = 828*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 54 + 147 + 72)*(-2*o**2 - 4*o**2 + 5*o**2).\nAnswer: -206*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 4. Let q be r(6). Suppose -2*w + 0 = -q. Let k = 21 - 13. Calculate the greatest common divisor of w and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4 + 1 = 0. What is the smallest common multiple of 6 and ((1 - 3)*n)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a + 35*a**2 + 8*a - 2*a in the form w + i*a**2 + z*a and give i.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-51) - 8258*(-4)\/(-136). Let h = v + 413. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 5*b**2 - 16862*b\/3 + 2248\/3 = 0.\nAnswer: 2\/15, 1124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-40176)*-14778 + -5 + -1 - 12\/16.\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 20 = o. Let c(j) = -j**3 - 9*j**2 - 7*j + 50. Let l be c(-7). Put l, o, -2 in descending order.\nAnswer: o, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 742388 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 11:11 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 535 + -531. Suppose 0 = 4*y - r*j + 8, -3*j + 14 = 7*y - 2*y. Which is the second smallest value? (a) y (b) -3 (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9157358, 18314736, 27472114, 36629492, 45786870?\n\"Answer: 9157378*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0409, -26.4, -2\/7.\nAnswer: -26.4, -2\/7, 0.0409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(63) + 5)**2.\nAnswer: -30*sqrt(7) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/25 + (1 - -5)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 114, -2\/15, -1\/6.\nAnswer: -1\/6, -2\/15, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 0.17, -256\/7, -2\/73 in decreasing order.\nAnswer: 0.17, -2\/73, -2\/17, -256\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20210100000 (base 3) to base 9.\nAnswer: 223300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512562271.\nAnswer: 13, 739, 53353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5728*y**2 + 4953*y**2 - 3134*y**2.\nAnswer: 7547*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.3, -0.6, -6\/17, 8, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w. Let x be -6 - (8 + -6)*6. Let o be 11\/9 + (-6)\/27. Let g(q) = q. Let t(s) = -3*s**2 + 18*s. Let k(f) = o*t(f) + x*g(f). What is c(k(a))?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -4951165?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 44 + 51 - 3*p**2 + 5*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 754023671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15756 - 8396. Calculate the highest common factor of 115 and t.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s. Suppose 4*h - 8 = 4*k, 3*k = h - 0*k - 2. Let x = 123 + -39. Let l(j) = -84 - 15*j**h + x. What is d(l(w))?\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2. Let u(r) = 0 + 0 + 127*r + 15*r + 310*r. Determine m(u(t)).\nAnswer: 408608*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 17 = -13 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + 8 + -5 + -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 121139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860965063 to the power of 1\/3, to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 16. Find the second derivative of -5*l + 0 + 3*l + l**y + 0 wrt l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 1 = 3*v, -55*v + 50*v + 4*w - 11 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17529847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 359*b**2 + 29 + 363*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 6*v - 4*v + 361 = 0, 0 = -4*g - 4*v + 448. Suppose -c = 102 - 36. Let y = -36 - c. What is the remainder when g is divided by y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*h = 12626 + 11559. Is h at most as big as -692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19a8 (base 11) to base 6.\nAnswer: 15430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - -2. Let r(g) = g**2 + 6*g + 2. Calculate the remainder when r(5) is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 11:24 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -0.5 (c) 8.7 (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h. Let f(c) be the second derivative of 11*c**3\/6 + 16*c. What is q(f(n))?\nAnswer: -33*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5964 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -6 + 1\/2*r**2 - 2*r. What is d(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*a - 5101, -a + 1363 = -3*z - 1699. Is z smaller than -1030?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 590128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16245\/(-1444) + (-4)\/(-16) + (-760)\/(-75)?\nAnswer: -13\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21426 is divided by 237?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-70)\/(-3))\/(6\/18). Suppose 0 = -r - 2*r - 2*x + y, 2*r - 35 = x. Suppose 4*n + n + r = 2*d, -2*n + d - 9 = 0. What is the closest to n in 5, -1, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5\/7, 3, -17737.\nAnswer: -17737, -5\/7, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211221010010 - -1012?\nAnswer: 1211221011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 59*h = -62*h + 40, -4*h + 30 = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 664 + -238. Calculate the least common multiple of y and 9.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -248951*v**4*y + 221589*y wrt v?\nAnswer: -995804*v**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23726.8 nanograms in milligrams?\nAnswer: 0.0237268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10012802 divided by 5006401?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.9 (b) -2\/11 (c) 0.0267\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oj when two letters picked without replacement from olojjdood?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**4 - 11*w**3 - w**2 + 11*w + 6. Let y(d) = -d**4 - 23*d**3 - d**2 + 23*d + 12. Let c(z) = 5*t(z) - 2*y(z). Solve c(h) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14942437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 10, m: 2}. What is prob of picking 2 m and 1 c?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -148*l. Let k(n) = 63*n. Determine w(k(f)).\nAnswer: -9324*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - -24. Let l = 29 - d. Let i = -23.00000011 - l. Round i to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 16 and -17?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oouu when four letters picked without replacement from {u: 4, o: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -9*n + 15*n. Sort -2, -3, n.\nAnswer: n, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1088, -1081, -1072, -1061, -1048, -1033, -1016?\nAnswer: -997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/150*9\/2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -97690 - -60815.\nAnswer: -36875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.520905ng in kilograms?\nAnswer: 0.000000000006520905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49651629*p**2 - 24825765*p**2 - 24825803*p**2.\nAnswer: 61*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001652 rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47 - 103. Let g = -52 - o. Solve 3*k = b + 5 + 6, g*b - 5*k = -16 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 971138489?\nAnswer: 97, 197, 50821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52 + 4. Let p = -11 + q. Does 3 divide (2 + -4)\/((-5)\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*p = -3702992, 4*o - 2*p - 3657113 = -18469105. Round o to the nearest 100000.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.059 times -883\nAnswer: -52.097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 8850.\nAnswer: -1\/1770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 + -48. Calculate the remainder when 58 is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5001.474 tonnes?\nAnswer: 5001474000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5048.35 years?\nAnswer: 60580.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 0*g**6 + 4*g**2 + 0*g**5 + 0 + 2\/105*g**7 + 2\/3*g**3 + 0*g**4 + 0*g. What is the first derivative of s(h) wrt h?\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/90)\/(-1 - (-10)\/9)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5.191771854319 + 0.4\nAnswer: 5.591771854319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120031120320 - -10?\nAnswer: -120031120310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -25*s - 68. Let y = 120 + -138. Is a(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8113690120*l + 8113690120*l - 2*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -2*r - d, -8*d + 76 = 4*r - 4*d. Let z be 104\/r - (-1)\/(-5). Let g(b) = -2*b + 6. Give g(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 642ad (base 15) in base 10?\nAnswer: 317863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7556 is divided by 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -71409 + 71410 + 33*g**3 - 42*g**2 - 123*g**2 in the form j*g**2 + l + s*g + z*g**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**3\/3 - 3*f**2\/2 + 6*f - 2. Let z be w(-8). Find the common denominator of z\/(-20) - 3\/15 and -51\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c - 5*c = y + 19, 3*y = 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/8*-1)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929264906?\nAnswer: 2, 23, 227, 88993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.002\nAnswer: -0.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -22. Suppose -2 = -2*y + f*k, -y - 3*k = -4*y - 9. Let n(r) = -2*r - 7*r**2 - r - r**3 - 10 + r. What is n(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (444\/259)\/(2\/126). Let c = k - 75. Calculate the greatest common divisor of c and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, t: 2, r: 6, q: 3, c: 1}. What is prob of picking 1 m and 1 t?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.196 - 139.196. Let b = 142 + i. Suppose -y - 11 = 2*v, -5*v - 35 = 2*y + 2*y. Put -4\/5, y, b in descending order.\nAnswer: b, -4\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 3*r**2 - 77898*r + 505674867 = 0.\nAnswer: 12983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 27. Let t be o(18). Let q be (350\/(-42))\/((-3)\/t). What is the highest common factor of q and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03168 from -4720.\nAnswer: -4719.96832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yywyyywywwyyyywyyy. Give prob of sequence yww.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 7 - (2 - 11 - -10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 7*i + 8. Let m be q(-6). Let t be (-2)\/m*1\/1. Calculate the common denominator of 3\/22 + (-2)\/t and -89\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30854, 30891, 30928?\nAnswer: 30965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4 - 112*w**3 + 1144*w**2 - 5040*w + 8100 = 0. Calculate w.\nAnswer: 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -36. Solve -5*r = -r + z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**2 + 3*v**2 + 0*v**2 + (0*v - 2*v + 4*v)*(-4*v - 2*v + 4*v) + (2*v - v + 2*v)*(-v + 3*v - 9*v) to the form s*v + i + l*v**2 and give l.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uufu when four letters picked without replacement from {u: 19, f: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 16614.74 hours?\nAnswer: 59813064000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*y**2 + 38*y**3 + 12*y**2)*(0*y**2 - 3*y**2 + y**2) + (-y**5 + 0*y**5 + 0*y**5)*(1 + 2 - 2) + 3*y**5 - y**5 - y**5.\nAnswer: -76*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(-6*v**4 + 2*v**4 + 5*v**4) - 3*v**4 + 2*v**4 + 4*v**4 + 14*v**4 + 7*v**4 + 25*v**4 as k*v**2 + w*v**4 + x + m*v**3 + n*v and give w.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 98463.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/3*(-6)\/(-30)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 19. Let j be (-4)\/16*-4 + o + -3. Let p = -14 - -17. Solve -2*z = 5*d + 25, -j*z - z - 34 = p*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 284040 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -15579544430 to the nearest one million.\nAnswer: -15580000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - y. Suppose y*z + 4*z + 3*c = 187, -4*z - c = -177. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1835423 is divided by 4497.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**4 + a**3 - a**2 - a. Let l(t) = -5*t**4 - 10*t**3 + t**2 + 6*t. Let q(n) = -l(n) - 6*x(n). What is u in q(u) = 0?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*i + 1058 + 535 = 237 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -69*f**2 - 16*f - 4. Let k be t(-8). Let a = -499 - k. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-411)\/(-2466)*(358\/(-20) - -1) and -127\/3090?\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 0*v + 0 + 0*v**3 + 1\/42*v**7 + 12*v**2 + 0*v**6 - 19\/60*v**5 + 0*v**4. Find the third derivative of j(h) wrt h.\nAnswer: 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Suppose l = -4*c + 4*p + 28, -4*c + 3 + 0 = p. Suppose 3*a - 8 = -c. Solve -3*x - 3 = -y - a*x, 5*x + 27 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138532333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/18713784 and -125\/5663382?\nAnswer: 430417032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/112*4)\/(32\/(-112))*(-4)\/32?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/3)\/(10\/30)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.16861 and 199\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 - 0.1. Let b be 54\/(-243) + 0\/2. Sort n, b, 1 in descending order.\nAnswer: 1, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aawaaaaaw. What is prob of picking 2 w and 1 a?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -20 (c) 0.3 (d) -1 (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnnnnrssncsnnonnsrrc. What is prob of sequence cro?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2602, -2042, -1484, -928?\n\"Answer: -h**2 + 563*h - 3164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 122 - 1345\/11. Which is the second smallest value? (a) 3 (b) o (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7236 is divided by 86.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 - 26. Suppose 2*t + 3*s - 9 = 0, 3*t + 2*s = -s + 9. Let g = t - -2. Solve 0 = b - 0*b - g*k - 3, m = -2*b - 4*k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s + 3*s - 3*s. Suppose 0 = -r - 5 + 116. Suppose -107*n = -r*n + 12. Let o(v) = 4*v. Give n*o(l) + 2*x(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(2) + sqrt(3200) - (sqrt(72) + -3 + sqrt(2))) + ((sqrt(10)*1 + sqrt(10))*2)\/(3*sqrt(5)*-1)))**2.\nAnswer: 3136*sqrt(2) + 308624\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144) - 3*(sqrt(144) + (sqrt(144) - sqrt(144)*-3)))\/(sqrt(132)\/(sqrt(44)\/sqrt(4))).\nAnswer: -28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7070.72ml?\nAnswer: 7.07072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 419345111405\nAnswer: 419345111405.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*h + 216 + 118*h + h**2 - 40*h - 44*h + 11*h.\nAnswer: h**2 + 216","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 1:38 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 40 - 49 = -3*p, 110 = 4*p + d. Calculate the remainder when 49 is divided by p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2456 + 2558. Let i = 12 - 10. Suppose 20 = 5*n, 3*n - 68 = -i*v - n. What is the remainder when j is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3451978 and 14.\nAnswer: 24163846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/1*(-7 + 5). Suppose 0 = 4*y - u - 81, 121 - 36 = 5*y + n*u. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 53, 127, 245, 413?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-153))\/(-1 + 1 + -1). Suppose r = -0*g - 6*g + 90. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -3*b + 4*i, 4*b = 36*i - 31*i + 37 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 6323.489 kilometers?\nAnswer: 6323489000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0675 take away 5899616?\nAnswer: -5899615.9325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = 12*a + 30. Suppose -a*t = -1280 - 573. Calculate the remainder when t is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/(-5))\/(3\/(-2)). Suppose -2*v + 2 + r = -2*x, 5 = -5*v. Is (1 + 276\/(-9))*x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-3))\/((-3)\/18). Let k = 1028 + -35984\/35. What is the third biggest value in 1, k, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*p - 6*p = -32*p. Solve 3*m + p + 12 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-10)*455\/3549*-52?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4833248162.\nAnswer: 2, 26203, 92227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (17 - (3 + 5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 28245.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 41.5. Let f be (-14)\/(-4)*(-8)\/(-14)*2. Sort 0.1, d, f in increasing order.\nAnswer: 0.1, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r**2 + r - 1. Let c be l(1). Let b = c - -15. Suppose -4*i + 14 = 2*d - b*i, 5*d + i = 35. What is the remainder when 27 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 + 37 - 16 - -6 - (2 + -27)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21873933 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.932 and -1.060038.\nAnswer: -6.992038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5743*f**5 - 6*f**4 + 190*f**3 + 41*f**2 + 188414*f?\nAnswer: -344580*f**2 - 144*f + 1140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 11 + -16 + -7?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert e (base 16) to base 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - -98?\nAnswer: 8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*m = -25, 4*k - 17225 = 5*m. Round k to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -23. Calculate the common denominator of (-4)\/(-6) + 233\/(-48) and (-4)\/(-18) + (-157)\/d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 15 = 0, 4*y + 571065*q - 15 = 571064*q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 11*t - 6. Let r be j(-8). Suppose -x + 2*x = r. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 384 + 4?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/7))**(7\/10)\/(i**(2\/5))**(-50) assuming i is positive.\nAnswer: i**(197\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2286128 is divided by 16687?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 14. Let y(d) = 750*d**2 + 940*d**2 - 1473*d**2. Give y(m(v)).\nAnswer: 868*v**4 - 12152*v**2 + 42532","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/13 - 128*l\/13 - 126\/13.\nAnswer: -2*(l + 1)*(l + 63)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 - -144114?\nAnswer: 144011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 6*l**2 - 7*l + 2. Let c be r(7). Let f be 12\/(-8)*(-4)\/c. Let v be (8\/6)\/(f\/9). Solve 3*h - 2*a = 0, 4*h = h - v*a - 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409 is divided by 36.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74723 + -74723. Suppose 3*v - 19 = -5*t, -2*v - 8 = 2*v. Solve -5*u = 4*c + 5, 0 = -t*u - w*u + 3*c - 40 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.37 - 95587185990\nAnswer: -95587185991.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g - 2 + 1)*(3*g + g + 2*g)*(-2 + 3 + 4).\nAnswer: -30*g**2 - 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 246*i = -3*l + 504, -53*i + 57*i - 4*l + 8 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 16 = -4*x + 4, 0 = -4*x - 2*z - 8. Let m(j) = j - 1. Let r be m(6). Suppose 20 = 3*w + w + k, 4*k = 0. Solve v - w*c = -29, x = c - r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -127984?\nAnswer: 127978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -2*w + 18, 1444*d + 10 = 1445*d - 6*w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213007 + 14655 = 2024*l for l.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2637807881 to the power of 1\/3, to the nearest integer?\nAnswer: 1382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 h when three letters picked without replacement from {k: 6, h: 4, e: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4114)*-2)\/(6*sqrt(18)).\nAnswer: -11*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(sqrt(700) + (sqrt(700) + ((sqrt(700) - -2*sqrt(700)*6)**2 - sqrt(700)) + sqrt(700) - sqrt(700))).\nAnswer: -236600 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1345 - 1347 = -b. Solve 0 = -b*f - 207 + 211 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0622505875 to six dps.\nAnswer: -0.062251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2 - 321252*n + 10603494 = 0. Calculate n.\nAnswer: -160659, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - 7 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20385729 divided by -63?\nAnswer: 323583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -314 - -6236?\nAnswer: 5a22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - v = 5*o - 46, 4*o - 76 = 2*v. Suppose 17*z = o*z + 48. Which is smaller: z or -10?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 3*n**2 + 5*n - 3. Let g be a(3). Suppose g = 3*r - 24. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 11:34 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9463, 18973, 28483, 37993, 47503?\n\"Answer: 9510*b - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from iefwifwifiw.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 261 and 348?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3)*2\/3. Let s(k) = -k**3 + 119*k**2 - 1897*k - 54. Let j be s(19). What is the nearest to -3\/26 in d, -2, j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3351 + 264?\nAnswer: 3625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 - 593.918245?\nAnswer: -520.918245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27914413, 55828824, 83743235, 111657646?\nAnswer: 139572057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2*275\/(-20).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0108892 hours in microseconds?\nAnswer: 39201120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13095 = -52*g + 74351. Calculate the smallest common multiple of 8 and g.\nAnswer: 4712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -5072646.\nAnswer: -1\/1690882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 - ((109 - 8) + -91).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -160*a**2 + 4*a + a**4 + 148*a**2 - 2*a**3 - 1 + 0*a to c*a**4 + n*a**3 + h + l*a**2 + b*a and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 233 - -1320?\nAnswer: 1553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**2 + b + 3. Let y = 12 - 3. Let d(t) = -t**2 + 8*t + 6. Let k be d(y). Let u(o) = -5*o**2 - 2*o - 4. Let a(h) = k*g(h) - 2*u(h). Calculate a(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1360917847?\nAnswer: 17, 71, 179, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.192064 micrometers to millimeters.\nAnswer: 0.004192064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90*z - 3*z**3 + 3 - 3 - 67*z**3 + 69*z**3 to the form m*z + r*z**3 + x*z**2 + p and give m.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 131?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 470658 and 51739?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.8, 34, -3\/2 in decreasing order.\nAnswer: 34, 1, 0.8, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -171*n**2 + 2*n + 243. Let j(v) = -512*v**2 + 6*v + 727. Let i(w) = -2*j(w) + 7*r(w). What is the derivative of i(g) wrt g?\nAnswer: -346*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 0*h + 3*h)*(-3 + 3 + h - 5066 + 213*h + 5066 + (4 - 2 - 4)*(-2*h - 2*h + 2*h) + 3*h + 0*h - h).\nAnswer: 440*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -3, -23, -47, -75, -107?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3091518359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**14)\/w*w)\/(w*w\/(w*w*w**0*w*w))*(w*w**(-2\/13)\/w*w)\/w**(-1\/4) assuming w is positive.\nAnswer: w**(941\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 14) in base 7?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*a - 764720 = 1007936. What are the prime factors of a?\nAnswer: 2, 4817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1332 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 76824 - 239\nAnswer: 76585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, 0, 6.\nAnswer: -6, -4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-7 + 12 + -9 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 136.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.341 (b) -5 (c) 1.71 (d) 0.3 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -15, 2, 1\/3, -6\/7, -0.083 in descending order.\nAnswer: 2, 1\/3, 0.3, -0.083, -6\/7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**2 + 7110324*m - 14220660 = 0 for m.\nAnswer: -2370110, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 133.36 times -1\nAnswer: -133.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*w - 9, 0 = 5*w + 2*v - 0*v. Let m(k) = -k**3 + k**2 + k + 1. Let j(g) = g**2 + 2*g + 3. Determine w*m(i) + j(i).\nAnswer: 2*i**3 - i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eyywieweefrewwe. What is prob of picking 1 w, 1 i, and 1 f?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 59*p + 175. What is the units digit of a(15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346 + 248 = 6*f. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = v + 4*v, v = 5*q - 59. Sort -5, -4, q in descending order.\nAnswer: q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 49*o**3 + 29*o**2 + o - 7. Let r(d) = -50*d**3 - 37*d**2 + 8. Let x(y) = -5*g(y) - 4*r(y). Determine x(1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -49221*p. Let f(s) = -6*s**2 - 25*s. Calculate f(g(l)).\nAnswer: -14536241046*l**2 + 1230525*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -73.2 - 4.8. Let x = h + 83.3. Let k = -1.3 + x. Which is the fourth smallest value? (a) k (b) -2 (c) -5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.233884998 and -234.6.\nAnswer: -236.833884998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, y: 3}. Give prob of picking 3 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*o - 19 = 0, -2*s + 7*s - 25 = 3*o. Calculate the lowest common multiple of 100 and s.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 5*y**2 - 4*y - 12. Let p be w(-8). Suppose -3*i - 2*i = 530. Let c = i + p. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 349 + -348.9998424. Round s to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 10, -4, 0, -2\/13, -12.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 531, 540, 553, 570?\n\"Answer: 2*z**2 + 3*z + 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (3 + 1 - 8) - 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*h + 1812*h**3 - 2*h**2 - 19*h - 84*h - 23*h to the form r*h + t*h**2 + u + y*h**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 15*m - 9. Let o(r) = -5*r + 3. Determine -11*o(z) - 4*v(z).\nAnswer: -5*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2525 + 232?\nAnswer: 3201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujddgukkkrrrd. Give prob of picking 2 u, 1 j, and 1 k.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 + 68. Let h = m + -26. Suppose 0 = -h*r - r + 12. Solve -4*z + r = -4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g - 9. Let r be n(7). Let p = -2 - r. Suppose 5*h - 75 = -p*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00388 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/118413 and 113\/5352.\nAnswer: 947304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*w + 8 = 0, 0 = -0*c - c + 3*w + 13. Solve 0 = -5*n - c*m + 6 + 23, -5*n + 2*m = -23 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4413 by -306.\nAnswer: 1471\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32630 and 2129735.\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**3 + 0*u**3 + 0*u**3)*(-70 + 1708*u - 60 + 194 - 64).\nAnswer: -6832*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/((sqrt(56)*3)\/sqrt(7)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/24 and -21\/11422184.\nAnswer: 34266552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -378.5 + 364. What is n rounded to zero dps?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Let f(p) = -p**3 + p + 1. Let b be f(q). Let y(c) = -c + 4. Is 9 a factor of y(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 262*u + 1 - 310*u + 99*u.\nAnswer: -473*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifteen quarters of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24117 - -24138. Solve -d - 57 = -13*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81423?\nAnswer: 3, 83, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -55697?\nAnswer: 278485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + 5 + (sqrt(10) + 1*sqrt(360))\/((sqrt(5) - sqrt(180)*-3) + sqrt(5)) + 1.\nAnswer: 7*sqrt(2)\/20 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 684261 = 135*m + 10881. Is m a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/109, 46, -5, -2 in descending order.\nAnswer: 46, 3\/109, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 610 and -10.\nAnswer: -6100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 72*z**2 - 70*z - 74. What is v(71)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f - f + f)*(-3 + 3*f - 2 + 5 + (-61*f - 8746 + 8746)*(-2 + 5 - 2)).\nAnswer: -116*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 3. Let i(a) be the second derivative of a**3\/6 - 3*a**2\/2 - a. Let q be ((-3)\/12)\/(85\/1020). Determine q*i(z) - 2*x(z).\nAnswer: -z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 437367 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 + 593. What are the prime factors of l?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z - 98. Let l = -40 - z. Solve 2*u - l = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + d + 0*d)*(-64 + 200 + 90).\nAnswer: 452*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 3\/5, -38\/35, -13\/2, -1\/11?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77729591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnyy. What is prob of picking 1 y and 3 n?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 23?\nAnswer: 7\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -651 (base 13) to base 4.\nAnswer: -100320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 23 (b) -0.1 (c) -1 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*b + 401*b - 10099 = -1451 + 8142 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128 - -149. Let p(d) = 13*d + b*d + 16*d - 65*d + 14*d. Let y(a) = -100*a. Give p(y(j)).\nAnswer: 100*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6304428 divided by -161652.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 23*n**2 - 25*n - 1. Let d(f) = 4*f. What is d(j(t))?\nAnswer: 92*t**2 - 100*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 156*t**2 - 708*t + 778. Is w(-151) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404237 to the power of 1\/2, to the nearest integer?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36018 and 276?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 131851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6208, -12509, -18806, -25099, -31388, -37673, -43954?\nAnswer: -50231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (6 - 3) - 1) + 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150197\/18 - -8347. What is the common denominator of -51\/22 and q?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -248 - -249. Let r(k) = -k + 1. Let n be r(-4). Let u = 3 - n. Sort u, w, -3 in descending order.\nAnswer: w, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(2))*5*-6 - 4*((sqrt(2) + -3 - sqrt(2)) + 1))*-4)**2.\nAnswer: -36480*sqrt(2) + 51904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from {l: 6, w: 5, z: 2, q: 3, k: 1}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18567650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -209 and -199 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -223864 from 0.3.\nAnswer: 223864.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*(4 + (sqrt(11) - 4*sqrt(11))) + -2 + -5 + ((sqrt(55)*3)\/sqrt(5))**2.\nAnswer: -12*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3429, -4419, -6069, -8379, -11349, -14979, -19269?\nAnswer: -24219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 at least as big as 1.169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 3*d**3 - 25. Let f(z) = 8*z**2. Calculate f(a(i)).\nAnswer: 648*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3388)\/(-121)*(-1)\/2\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714150 to the power of 1\/2, to the nearest integer?\nAnswer: 1309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 14 - 2 = -4*o, -3*o + 5*g = -8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -155 - -10?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/1107 and -97\/150076.\nAnswer: 166134132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -5 - -5) + (-1 - -1) - 42?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 26 = -2*v - 1, -32 = -4*v + 4*s. Let f be 3\/(-12) + (-1)\/(-4). Let w = -3 - -6. Solve -a - v = 0, o + f*o - a - w = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-840)\/(-49))\/20*21\/12.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -6 (c) -174402 (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -407\/3 - -128. Find the common denominator of 30\/79 and q.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/3))**(28\/9))**20*(g\/(g\/(g\/(g\/(g\/(g*g**7)*g))))*g\/(g*(g\/(g**0\/g*g*g))\/g))\/(g\/(g\/(g\/g**(-4)))*g*g**2) assuming g is positive.\nAnswer: g**(209\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20 - -48. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 9*y - s + 28 = 0, 0 = 3*s - 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*o - 10981 = 91*o + 11519 + 1020 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a milligram in micrograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (19 - -1 - 0)*116\/(-145). Which is greater: n or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (171\/(-6))\/((-7)\/28*2). Suppose c - 190 = -c. Calculate the highest common divisor of c and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*h + 27*h = 480 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 53030, 4, 5\/8 in descending order.\nAnswer: 53030, 4, 5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r - 12. Let b be v(7). Find the third derivative of 9*j**2 - 4*j**2 - 5*j**b + j**4 + 9*j**2 wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -42*p - 957. Let d be v(-23). Solve -d*q + 11*q - 10 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, 7, 26, 55, 94?\n\"Answer: 5*g**2 - 6*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppr when four letters picked without replacement from {r: 1, u: 11, o: 2, p: 5}.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0*j)\/j*j)\/j*j**(-5\/2)*((j\/j**6)\/j)**(-7\/3) assuming j is positive.\nAnswer: j**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54693.\nAnswer: 3, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -9. Let p be (a + -1)*(-45)\/10. Suppose -2*o + 7*o = p. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2943 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 291*w**2 - 920*w?\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 12*z**2 - 6*z + 5. Let s be (-16)\/(-12)*(3 - 0). Let o be x(s). Factor 2*a**3 - a - o*a**5 - 4*a**2 + 4*a**4 + 172*a**5 - 2*a**4 + 2.\nAnswer: -(a - 2)*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*i - 7538*i**2 - 128*i + 67330 - 67330 to g*i + w*i**2 + o and give w.\nAnswer: -7538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 696, 0, -170 in decreasing order.\nAnswer: 696, 3, 0, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40371.96l to millilitres.\nAnswer: 40371960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 1 + 3. Suppose -4 = -2*x + v. Suppose -j = x*j - 48. Does 12 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 10*i. Let x(j) = -4*j + 11. Let u(a) = -3*a + 10. Let q(c) = 3*u(c) - 2*x(c). Let y be q(7). Is 5 a factor of b(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*v = -49, j - v = 7 - 0. Calculate the least common multiple of 2\/(-6) + 84\/9 and j.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*f + 42*f - 276237 = -49*f. What are the prime factors of f?\nAnswer: 13, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**2 - p**3 - p**5 + p**3 + 4*p**5 wrt p?\nAnswer: 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y - 4*y**2 - 2 + 0*y**3 + 2*y - y**3 - 7*y. Let q be n(-4). Suppose -q = -5*z - 0. Calculate the greatest common factor of z and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3177 and 184447089.\nAnswer: 3177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 329 + -5 + 2\/2. Let f = -134 + o. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2. Let r(c) = -2*c**2 + 3. Let d(f) be the third derivative of f**5\/12 - 5*f**3\/6 + 26*f**2. Let k(s) = -3*d(s) - 5*r(s). What is k(b(i))?\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 468*p**2 - 29363*p - 49375442.\nAnswer: 936*p - 29363","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -88876 divided by -68?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 319, 627, 947, 1285, 1647?\n\"Answer: s**3 + 301*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104304 and 12792.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -8*w**7\/7 + 20*w**3\/3 - 24. What is the third derivative of g(r) wrt r?\nAnswer: -960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 435, 116 in increasing order.\nAnswer: 0, 3, 116, 435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + (sqrt(66) - (sqrt(66) - 3*(sqrt(66) + sqrt(66)*-2))))\/(sqrt(96) - -1*sqrt(96)).\nAnswer: -sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 25*(-48)\/(-600)*(9*8\/(-1392))\/1\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16\/3, -6, -0.8, 20, 2\/15, -15 in ascending order.\nAnswer: -15, -6, -0.8, 2\/15, 16\/3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 1a94?\nAnswer: 1a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -c**6\/24 + c**5\/3 - 25*c**4\/24 + 5*c**3\/3 - c**2\/2 - 23. Let v(n) be the second derivative of m(n). Factor v(g).\nAnswer: -5*(g - 2)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/4*40\/(-10). Let p(q) = -q - 3. Let d be p(-6). Suppose k = 5*k - 16. Put k, d, a in ascending order.\nAnswer: a, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11189.656 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52)\/(-1170)*((-2)\/(-1) + 3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -51 + 184 + (-50 - 33)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 4*y**2 - y + 2. Suppose -k = -3 - 1. Let w be x(k). Which is greater: w or -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 6, -0.5, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f = 0. Suppose f = -3*c - d + 55, 0*c - 4*c = 5*d - 66. Let w = -1 + c. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z - 25 - 69 = 0. Find the common denominator of -61\/220 and 63\/((7 - -3)\/z).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.02 + 11.02. Let o = 0.6 - 0.2. Which is the third biggest value? (a) o (b) -1\/10 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*l - 280 = 30*l. Let w = 14 + -10. Sort 0, l, w, -2.\nAnswer: l, -2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 2*z - 13)*(-5*z - 2*z + 4*z + (3 - 3 - 1)*(1 + 2*z - 1) - 6*z + 0*z - 2*z) in the form x*z + y*z**2 + p and give y.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33209680 and 3640?\nAnswer: 431725840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1316 + -6626\/5. Let u = 8\/22533 - 413153\/135198. Find the common denominator of u and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 44 = -4*j, -85*j + 83*j + 3*p = -50. What is the remainder when 90 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6396004 is divided by 376235.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70.096 - 0.096. Which is the third smallest value? (a) 0.1 (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 3 - 3)*(-3 + 5 - 4) + 0 + 0 - 2 + 4 - 1 - 10)*(1 + 0 + z + 0) in the form h + b*z and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16252.2 - 16221. Which is smaller: i or 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890489 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*v + 68*v - 1 = 0. Let f be 2\/v*-1 - -5. Solve 2*r - f*t + 7 = -0*t, 9 = -2*r + t for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-126) + -3*15\/(-378). Factor 0*w + 0 + 2\/7*w**3 + v*w**2.\nAnswer: 2*w**2*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -8 + -10 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10001 (base 3) to base 12\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*f + 0 - 2 - 2*f**3 + f**2 + 5*f + 8*f to v*f**3 + g + c*f + n*f**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -6*h**3 + h + 1. Let d be 2\/(-8) - (-342)\/24. Let b = 3 + d. What is the remainder when b is divided by s(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38161 or -38162?\nAnswer: -38162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -5, 2, -12, 100 in decreasing order.\nAnswer: 100, 6, 2, -1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 3)*(-1 + -1). Let k = r - 0. Let b = k - -13. Put b, -1, 3 in increasing order.\nAnswer: -1, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*m = 9958, 3*n + 282 + 5694 = 3*m. Let u = 2981 + n. What is u rounded to the nearest ten?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 - 4*g + 3. Let n be w(2). Suppose -c - 8 = -n*c. Solve 5*x - 3*x + c = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1046.009 - -1.009. Let t = s + 1044.9999217. Round t to six dps.\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4301153 is divided by 860214.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of j**5\/30 - 96*j**2. Let i(u) = 144*u**2 - 83. Let k(t) = i(t) - 2*q(t). Find the first derivative of k(x) wrt x.\nAnswer: 280*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 183638 = 17610. What is the greatest common factor of s and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.02, 2, -248, -7.282?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32789, 32853, 32915, 32975, 33033, 33089?\n\"Answer: -n**2 + 67*n + 32723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*a - 11142, 5897 + 5237 = 2*a - z. List the prime factors of a.\nAnswer: 3, 5, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**3 - 3*v**2 + 12*v + 1. Suppose 214 + 74 = 3*c. Calculate the remainder when c is divided by f(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63297, 126589, 189881, 253173, 316465, 379757?\nAnswer: 443049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1394 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 333501169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - -5. Let s(n) = n**3 - 10*n**2 + 17*n - 4. What is the smallest common multiple of m and s(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -72*p**2 + 3*p + 1. Let x = -7 + 5. Let f be j(x). Let t = f - -193. What is t rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 0.96, 0, -5, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 18, 24 in increasing order.\nAnswer: -7, 18, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -160*z**3 - 492*z**2 + 504*z + 1620 = 0.\nAnswer: -3, -15\/8, 9\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((16\/6)\/4)\/(((-200)\/5280*-22)\/95)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 + -891813?\nAnswer: -8917ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -8625\/8, -0.05 in descending order.\nAnswer: 0.4, -0.05, -8625\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*sqrt(2))**2 - (1 + sqrt(128))**2.\nAnswer: -107 - 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1266378109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 5. Let a be (-6)\/4 + 44\/8. Let s(k) = k - 3. What is a*p(n) + 7*s(n)?\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**6\/120 - o**5\/12 - 5*o**4\/24 - o**3\/3 - o**2. Let h be x(-4). Suppose 8 = -h*m + 24. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16.173 + 0.027. Let u = y - 15. Let v = u - 1.20000018. What is v rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5095605237 - 18*t**2 - 5095605237.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**39)\/g*g**(-32)*g*g*g**(-2\/43)*g*g**(1\/7)*g assuming g is positive.\nAnswer: g**(-19837\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12502.\nAnswer: 2, 7, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25265 + -25265. Which is bigger: x or 1\/14321?\nAnswer: 1\/14321","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 - -78. Which is the closest to -17? (a) -0.4 (b) -3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7138762 divided by 2.\nAnswer: -3569381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10757462 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**4\/12 - 4*m**3\/3 + 27*m**2\/2 - 43*m. Calculate the remainder when g(-8) is divided by 21.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4844447.2499898 + -4844448. Let a = 0.75 + w. Round a to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-3*(-1)\/(-150)). Let l = -164 + h. Suppose 3*a + l = 30. Round a to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (20\/228)\/5*(-8)\/(800\/6) and -107\/190.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/45)\/((-9)\/(-30)). Let i be (-1)\/3 - 9124\/33. Let o = 277 + i. What is the smallest value in 1\/5, s, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3457, -7468, -12017, -17104, -22729, -28892?\n\"Answer: -269*k**2 - 3204*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 0*n - 2*n)*(8*n + 4 - 5 + 2) as m*n**2 + a*n + t and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from dddddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1)\/4 + 36\/(-56).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5953*s - 3*s**2 - 5953*s + (s + 0*s + s)*(4 - 4 + 2*s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 228\/66 - (1 - 0). Let u be 13\/13 - 3\/(9\/(-6)). Is n bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -5 (c) 511360\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence stsi when four letters picked without replacement from {p: 4, i: 4, s: 2, t: 1, r: 3}.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 6 = o, -5*o - 19 - 5 = 2*p. Put 1, -4, p in decreasing order.\nAnswer: 1, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640560000 rounded to the nearest 1000000?\nAnswer: 641000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 59 - 23 - 124?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + 0 + 5 + 0 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73513267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 107?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 2*j + 4. Let p be j\/(-6) - 102\/9. Suppose 0 = -4*z + 2*d - 56, 2*d - 29 = z - 12. Is z at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 10*i + 32)*((-1 + 0 - 1)*(-3*i**3 - 3*i + 3*i) - 3*i**3 + 16386*i + 19*i**2 - 16386*i).\nAnswer: -30*i**4 - 190*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/((u\/(u*u**(2\/13)))\/u)*u)\/u**(-5))**(-3\/2)*u**(-8)\/(u**(1\/2)*u)*u**(-4\/5)*u\/(u\/(u*u\/(u\/((u\/(u*u\/u**(-7)))\/u)))) assuming u is positive.\nAnswer: u**(-2082\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 25*v**2 + 2*v + 104. Determine o(7).\nAnswer: -764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.622 in -2\/7, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -79*q + 68*q. Let b(j) = -j**3 + 5*j**2 - 7*j + 16. Let r be b(q). Solve 4*d + 3 = -r*g + 15, 0 = -3*d - 2*g + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, j: 2, w: 4, g: 2, r: 5}. Give prob of sequence agjr.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -0.07, -0.02, 3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (70\/4)\/((-4)\/(-8)). Suppose 0 = d + 2 + 16. Let i = d + n. Calculate the highest common divisor of 119 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 + 1106968*x**2 + 153174483040*x + 612680220800.\nAnswer: 2*(x + 4)*(x + 276740)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -658?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -125*u - 632*u + 25409 - 1561 + 2647 for u.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*d*p*w + 15604566*d*p + 7*d*w - p + 166130*w**2 wrt w.\nAnswer: -6*d*p + 7*d + 332260*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(216)*1)\/(sqrt(63)\/(-2*sqrt(7))))\/((-1*1*sqrt(36))\/(sqrt(147)*-2 - sqrt(147))).\nAnswer: -42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-2))\/(10\/20) - -1215. Let y = 2319 - i. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30530, 61138, 91746, 122354, 152962?\n\"Answer: 30608*k - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (16\/40)\/((-4)\/125). Let n be (-218845)\/(-31575) - 6 - (-6)\/(-10). Let d = 1\/421 + n. Sort 2\/11, d, s, -1\/3 in descending order.\nAnswer: d, 2\/11, -1\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3835340468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 11*d. Let y(k) = -6*k**2 + 1. Determine y(x(m)).\nAnswer: -726*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8582 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4564 by 2.\nAnswer: 2282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5089674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*o - 0 - 129, o + 144 = -3*l. Let f = l - -108. Suppose 0 = -5*a + 64 + f. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 363423139 to the nearest 100000.\nAnswer: 363400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -405 - (-49)\/(-14)*-2. Let d = m + 398. Solve d = p + 4 - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) -5 (c) -1040 (d) -2 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2. Let i(w) = -714*w**2 - 187*w + 187. Let j(p) = 23*p**2 + 6*p - 6. Let b(u) = 6*i(u) + 187*j(u). Calculate x(b(t)).\nAnswer: -289*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 304 = -17. Suppose -3*d - 2*u + 0*u + 324 = 0, -u + j = d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-35)\/(-20) - 4) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/5 - (-42)\/(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*z - 9*z - 40 = 0, 4*y - 85 = -5*z. Calculate the greatest common factor of 25 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 246 - 474. Let w be 4\/20 + v\/(-10). Calculate the highest common factor of w and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -15 + -21 + -15?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(-1\/6)*b)*b**(-2\/15))**19*b**5\/b**(-6)*b**(-5\/3)\/((b\/(b\/(b\/(b\/((b\/b**(2\/5))\/b))*b)))\/b) assuming b is positive.\nAnswer: b**(311\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1620\/12285)\/(9\/(-21)). Suppose 2*i = -5 - 1. Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -305, -454, -609, -776, -961, -1170?\nAnswer: -1409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24*(20\/(-8) - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-134)\/16)\/(-1))\/((-21173)\/(-169384))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvqqq. What is prob of picking 1 q, 1 d, and 1 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30624654.\nAnswer: 2, 3, 5104109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 12 = -8. Suppose 3*i + 0*i - 5*y = -25, 5*i = y - 27. Are i and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 268 and 3765936.\nAnswer: 3765936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.7 - -4. Let o = c - 6.3. Let v = 13\/36 - 10\/9. What is the nearest to 1 in v, o, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 117 - 107. Suppose 51 = 2*k - 3*u - 100, -403 = -5*k - u. What is the greatest common factor of n and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**3 + 6*n**2 + 3*n + 6. Let r(s) = -7*s**3 - 11*s**2 - 5*s - 13. Let f(l) = 5*i(l) + 3*r(l). What is the units digit of f(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -g**7\/105 + g**6\/30 + g**5\/30 - g**4\/6 - 13*g**2. Suppose o(x) = 0. Calculate x.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 192 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 i when two letters picked without replacement from ibbbbbpppbbbpibbbi?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 144 and 3628152.\nAnswer: 7256304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2110438749 rounded to three decimal places?\nAnswer: -0.211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -443348 divided by 2\nAnswer: -221674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -4) + 6\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170 and (-150)\/(-20)*12\/1?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 6:25 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1660053 is divided by 110664.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from {o: 1, w: 1, c: 3, l: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvgvvvvvvvvvvvvgv. Give prob of sequence vgvv.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.4, 1\/3, -1, 9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 385391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -8) + 14 + -26 + (190 - 191)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 3*s - 1186 = -9*a, 3*s = 0. Suppose -2134 = -27*v + a. Calculate the remainder when v is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + y + 6*y**2 + 3 - 2*y. Is v(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54788008 times 1?\nAnswer: 54788008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of 103*j**5\/4 - 1045*j**4\/12 + 545*j**3\/6 - 15*j**2\/2 - 2729*j. Factor b(o).\nAnswer: 5*(o - 1)**2*(103*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**3*p + 26973*i**3 - 173*i**2*p - 4*i**2 - 2*i*p - 3*p wrt i?\nAnswer: 12*p + 161838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -782 divided by -16854\nAnswer: 391\/8427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*c + 12. Let q be -1*(c - 2 - 3). Solve 2*w + 9 = -q, 5*n + 4*w + 35 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3291 - 22046 = 0. Let q = -1091 - x. Is q\/6 + (-10)\/30 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*m = -291*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -8*c**2 + 0*c + 1\/24*c**4 + 31 - 7\/6*c**3. Let z(y) be the second derivative of i(y). What is z(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1666240 (base 9) in base 16?\nAnswer: e2f89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30485, -60782, -91079, -121376, -151673, -181970?\n\"Answer: -30297*l - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10540171, 21080367, 31620563, 42160759, 52700955, 63241151?\n\"Answer: 10540196*c - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -310*t**4 + 2*t**3 + 6*t**2 - 3251 wrt t?\nAnswer: -1240*t**3 + 6*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 11*s**2 + 11*s + 15. Let b(i) = -5*i**2 - 5*i - 8. Let f(x) = -9*b(x) - 4*u(x). Let k be f(0). What is the highest common divisor of 24 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 596\/1515 + 2\/303. Let k = 0.4 - 0.3. What is the closest to -0.1 in 2\/21, k, -2\/11, u?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2828 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -13*p + 20. Solve 0 = p*s - 12*s - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f - 1. Let m(b) = b**2 - 8*b + 11. Suppose -2*w + 5*h = -32, -4*h = 5*w - 3 - 11. Let q be m(w). Calculate a(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 PM and 12:33 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 - -35. Sort -1, -21, y in increasing order.\nAnswer: -21, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2345 is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*o + 3*q = -114*o - 27364003, 3*q = -2*o + 13681997. What is o rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**4 - 168*r**3 - 2470*r**2 = 0.\nAnswer: -65, -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 23*b = 740. Let w(g) = -8*g - 295. Let i be w(b). Solve 13*n - i = 12*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-231)\/(-189))\/(2\/(-15)) and -69\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 418 by -31576.\nAnswer: -209\/15788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20954137.\nAnswer: 20954137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.73 - 745.73. Is c > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p + 40. Suppose 3*a - a = p. Solve a*b - 2*q = 10, 4*q - 8 = -b - q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22120410 + 13?\nAnswer: -22120342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 9059014 + -0.109\nAnswer: 9059013.891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -25. Let m(z) = -2*z**3 - 8*z**2 - 2. Let c be m(-4). Let n = -34 + 29. Sort 1, n, k, c.\nAnswer: n, c, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = 8*a + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 0 - 1\/6*o**3 + 0*o + 3*o**2 + 1\/12*o**4. Differentiate d(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36 + -33. Solve -2*h + 3*h = l for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2647002 is divided by 189071.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 5*x - 5, 2*c + 2*x - 15 = 3. Sort 5, -0.1, c.\nAnswer: -0.1, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185 divided by 37\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, -4, 2 in descending order.\nAnswer: 11, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**2 + 6*m + 7*m**2 - 17*m + 79*m to the form n*m + q + j*m**2 and give n.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1783704?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-154)\/(-42) + (-4)\/(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -10.4\nAnswer: 1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5404802 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/10*(-170)\/1156?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3621760 is divided by 402407.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-20 + -5 + 19 + -7)) + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-74)\/(-999) - (-84776)\/54. What is the greatest common factor of f and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -604 + 11*g - 14*g + 604 - 7*g. Let c(l) = -11*l + 2. Calculate j(c(p)).\nAnswer: 110*p - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -64. Let y = 85 + u. Is y a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -169890*-5\nAnswer: 849450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, q: 3}. What is prob of sequence qqq?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1170*v**2 - 1446 + 2*v**3 + 772*v**2 + 1204 wrt v?\nAnswer: 6*v**2 + 3884*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-350 - 110 - 673)*(-10 - 3 + 8)*(1 - 3 + 1)*(0 + 0 + h).\nAnswer: -5665*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0\/a)**(-34)*(a**(1\/2)*a)**11 assuming a is positive.\nAnswer: a**(101\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)\/sqrt(4)*-5)**2 + 5)*-3.\nAnswer: -1290","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**3 + 23*z**2 + 33*z + 15. Let h(q) = -q**2 - q. Let u(x) = b(x) - 2*h(x). Factor u(f).\nAnswer: 5*(f + 1)**2*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*2988\/3984.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4)\/p*p**(-1\/9)*(p**24)**(-3\/4) assuming p is positive.\nAnswer: p**(-208\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 1. Let f(d) be the third derivative of 65*d**4\/6 + 52*d**3 - d**2 - d + 15. Give -f(l) + 312*h(l).\nAnswer: 52*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - f - 1. Let n be x(0). Let w be 10\/12 + (-8)\/6. Which is greater: n or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3486890 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 + 577*c**3 + 4*c**2 - 600*c**3.\nAnswer: -23*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -287 - -332. Suppose -g - l = -3*v - 30, 4*v = -3*g + 7. Solve 3*p + 11 = 4*f, -p - v*p + 3*f = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/(-48))\/(10*2\/9).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3690.491 nanograms in tonnes?\nAnswer: 0.000000000003690491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*b - 155*b = -896. Solve -4*s - k + 10 = 0, 5*s - b = -0*s + k for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -366925 + 366925 - 37*u.\nAnswer: -37*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8230 + -24689\/3. What is the smallest value in 2\/5, d, -0.4, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36)\/(-21) + (-1 - -1). Let c(x) = 3*x**2 + 2*x. Let f be (1*2)\/((4 - 18)\/7). Let m be c(f). Which is greater: m or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 1496.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1031233 - 2?\nAnswer: -1031301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -865*i**2 - 433 + 588 - 1418 - 1514 with respect to i.\nAnswer: -1730*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 + 1)*(m**4 + 2*m**2 - 2*m**2) + 2847*m**4 + 2211*m**4 + 310*m**4 - 11913*m**4 in the form h + f*m**4 + w*m**2 + t*m + b*m**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234955 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.69 + 32.69. Suppose 1 = 2*a + 3. Are u and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*y - 22 = -22. Solve y = -153*c + 150*c + 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 2. Let n(d) = -4*d - 3. What is the units digit of n(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/360 and -161\/450.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 582134 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -908 - -1104. Which is the third smallest value? (a) -4\/3 (b) 2\/13 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.05 (c) -5 (d) 41 (e) -359\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnhnhhhhthbhht. What is prob of picking 1 n, 2 t, and 1 h?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -63 - 0 - (-24 + (24 - 13))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 4)*(-3*x**4 + 4*x**4 + 0*x**4) + 3*x**4 - 2*x**4 - 2*x**4 - 707*x**3 + 2*x**4 - 4*x**4 + 267*x**2 + 705*x**3.\nAnswer: -x**4 - 2*x**3 + 267*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*c**2 - 78*c**2 + 22*c**2 + 658*c + 32*c**2 as v + o*c**2 + i*c and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6725 + 6729. Solve -6 = 2*y + 2*s, -2*s = t*y - 4*s + 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -241*q - 4868. Let c be w(-32). What is the greatest common factor of c and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 3*x - 4. Let s be t(-3). Sort 4, -1.4, s.\nAnswer: s, -1.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*s - 3*s - s)*(-4*s**3 + 12*s**2 - 12*s**2) - 14*s**2 - 3*s**4 + 14*s**2 as q*s + n*s**2 + z*s**4 + u + r*s**3 and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (4 - (-2 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -8*a - 78. Let l be n(-11). Suppose 5 = -5*p + 3*r, p = 3*r - l - 3. Suppose 0 = 4*s + 4 + 4. Put 0, s, p in decreasing order.\nAnswer: p, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*h - 531 - 169 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -70272745.\nAnswer: -4\/70272745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 7:52 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8004 + 2099 + 7223 = -153*p - 2411 for p.\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3894653908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.6215 (b) -2 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*v + t, -v - 619 + 638 = 4*t for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 65.339 years?\nAnswer: 0.65339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwu when three letters picked without replacement from luuwgew?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 684*n - 155611 = 623*n. Solve p + n = 2557 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110001111110 (base 2) in base 7?\nAnswer: 111043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 281.2451 milligrams to nanograms.\nAnswer: 281245100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-54)*(-567918)\/9708\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 955, 1294, 1779, 2410, 3187?\n\"Answer: 73*a**2 + 120*a + 762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 5:04 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 + 368\/5. Let p be 6\/(-8)*(-11)\/33. Let s = -2.3 + -0.7. What is the nearest to p in b, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 c, and 1 o when three letters picked without replacement from coocfcfff.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + f - f + (-1 + 5 - 2)*(2*f - 4*f + 4*f) - 1 + 1 - f)*(-13*f**3 + 17*f**3 + 14*f**3).\nAnswer: 90*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-36916)\/(-25170))\/((-8)\/(-15))\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 592200 divided by -12\nAnswer: -49350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + (-5 - -3) + -6. Suppose -5*x + 84 = -c*p + p, -2*x = -3*p - 20. Calculate the remainder when x is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 38.70422t?\nAnswer: 38704220000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 3*p + 4)*(p + 0*p - 4*p + (-3 + 1 + 4)*(5*p + 0*p - 3*p) + 4*p - 2*p + p - p + p - p).\nAnswer: -9*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/7 and (182\/1963)\/((-10)\/4).\nAnswer: 5285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**2\/2 + 337671*p + 2026053\/2 = 0. What is p?\nAnswer: -3, 225117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 9*p**2 + 17*p - 7. Let i(o) = -3*o**2 - 6*o + 2. What is 17*i(u) + 6*w(u)?\nAnswer: 3*u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -89*v**2\/2 + 5*v + 4. Let n(u) = -88*u + 6. Let a(z) = -5*b(z) + 4*n(z). Is a(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-840192)\/(-264960) + 6\/207.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -133.5, -5, 0.1, -1.34.\nAnswer: -133.5, -5, -1.34, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 73503414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42343169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6905?\nAnswer: 5, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 19 = -5*t + 2*v, -4*t + 32 = 5*v. Let w be (0 - -64) + -7 + t + 5. Calculate the highest common factor of w and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-3)*27\/9. Let k be 18\/(f\/((-8)\/3)). What are the prime factors of -4 + 21*k\/(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -306.2 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((50024\/(-78))\/(-74) + 3*(-10)\/3)*33?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1767719569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -151078 divided by 26\nAnswer: -75539\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k*k**(-1)*k)\/k))**14*k**5\/(k\/(k*k\/k**(-1)))*((((k**(-2\/7)*k)\/k)\/k)\/k**(-1\/5))**(-13) assuming k is positive.\nAnswer: k**(1229\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 43 = -162. Let b = n - 18. What is the remainder when 89 is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 37\/45 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -682, -675, -664, -649, -630?\nAnswer: -607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 26 - 4?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(28) - sqrt(7)) - sqrt(84)\/sqrt(48).\nAnswer: sqrt(7)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggg. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 16. Solve u = -m - 5, 5*u = l*m - m - 25 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 51595464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 20 - 31 + 4*h + 0*h + h**2. Let g be x(-9). Do 33 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 369 and 738.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 9*f + 5. Let o be q(-8). Suppose o = d - 11. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27170753609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4 + 2 + (-15)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -390 (base 10) to base 8.\nAnswer: -606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4995 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/(7 - 78\/12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68)*-5 + 0)**2.\nAnswer: 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 0.18453.\nAnswer: -0.036906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s**2. Let o(q) = 18*q. Calculate l(o(b)).\nAnswer: -2268*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 195 = 1905. What is the remainder when 310 is divided by 3\/(-5*(-2)\/o)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/7)\/w**(7\/3) assuming w is positive.\nAnswer: w**(-52\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/510 and -53\/714.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 258.995 litres to millilitres.\nAnswer: 258995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184642?\nAnswer: 2, 19, 43, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (-5 + 1 + 6). Suppose h = 13*y - 14*y + 94. Does 33 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/13)\/t)\/t*(t*t*t*(t\/(t\/(t\/t**(2\/13))))\/t)\/t)**(-2\/29)*(t*t**(-7)*t)\/(t\/(t\/(t\/(t*t**0))))*t**(-6\/5)\/((t*t\/t**(1\/3)*t)\/t) assuming t is positive.\nAnswer: t**(-44456\/5655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, 80, -319\/6.\nAnswer: -319\/6, -13, 3, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*l**2 + 38*l**2 + 38*l**2 - 112*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3248822 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-63)*11 + 1 + (-12155)\/1071 + 15.\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 divided by -11?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 64, -16, -1.\nAnswer: -16, -6, -1, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n\/(n\/(n**0\/n)))*n)**23\/(n\/(n*(n\/(n\/(n*(n*n**(-1))\/n)))\/n))**(6\/7)*n**(-4)\/(n\/(n**(3\/5)*n))*(n**(1\/3))**(3\/19) assuming n is positive.\nAnswer: n**(12499\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/61 - -171\/244. Let f = i - 1. What is the nearest to f in 0.2, -2\/11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1830, 1834, 1840, 1848?\n\"Answer: p**2 + p + 1828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j**5 - 3090*j**4 - 12327*j**3 - 15396*j**2 - 6156*j = 0.\nAnswer: -1026, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 22842?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3\/4 + 14619*y**2\/4 + 53436099*y\/4 + 53421481\/4 = 0. What is y?\nAnswer: -7309, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 971 and 31890553?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8551 - 4118. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*12\/(-2 - 1). Suppose -49 = p*v - 161. Suppose -y + 4*y - 116 = -5*t, y = -2*t + 38. What is the highest common divisor of y and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.91 - -0.29. Let j = -2.1999986 + y. What is j rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 156 = -5*o - 104, 5*r - 500 = -5*o. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 106*r + 407. Is f(52) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -282\/2159 - 30457189\/64770. Let v = 2301\/5 + q. What is the common denominator of 71\/20 and v?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/10*(-12)\/432*3\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 181523*n + 726036. What is u(-4)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2813\/39 + 117497\/1612. Let n = -1\/93 + s. Factor -n*h**2 - 3\/4 + 3\/2*h.\nAnswer: -3*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((4212\/(-45))\/(-9))\/((-2)\/(-50)). Let j = -257 + n. Solve 2*r - 2 = 0, -5*u + j = -5*r + 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -161fddd + 2?\nAnswer: -161fddb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*-1 - (-10 + 12). List the prime factors of 4 + 3 + p - -59.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 17. Let z be c(0). Suppose 2*h - 43 = z. Is 15 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 7*l + 11. Let x(b) = 4*b + 6. Let p(q) = 3*v(q) - 5*x(q). Let h be p(-3). What is h rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/2652 and -79\/103090.\nAnswer: 10515180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 319, 1313, 2939, 5173, 7991?\n\"Answer: -4*f**3 + 340*f**2 + 2*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 2 + (-3 - -4) + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6550749\/3440*(1 - (-3269)\/(-3270)). Let t = h - 3\/2725. Find the common denominator of t and -37\/16.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 72731, 72730, 72727, 72722?\n\"Answer: -a**2 + 2*a + 72730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15565842 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 4*f - 64, -434*f - 569 + 213 = -0*y + 2*y + 441*f - 849*f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/1322 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4*-1*(-1 - -2). Let r be 3264\/(-552) + 10\/55 + 2160\/(-506) + 4. Suppose 22 = -5*t + 7. Put r, t, c in decreasing order.\nAnswer: t, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 11. List the prime factors of h(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 + (-11 - (14 + 14 + -22)) + -16?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 182*f**2 + 884*f - 884*f + 1. Let q be i(-1). Suppose -q - 384 = -7*h. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1379 (base 15) in base 8?\nAnswer: 10104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (-748)\/102*3\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 6*f - 8 = 25, 0 = -4*g + f - 17 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 24*t - 239. Let v be p(11). Solve v = 5*g, -2*s + s = -5*g + 27 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 5*v**2 - 8*v + 11. Let h(q) = 23*q**2 - 40*q + 51. Let c(z) = -14*g(z) + 3*h(z). Determine c(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 5*m**2 + 6*m - 3. Let q be z(4). Suppose -20 = -q*n, g - 17 = n - 5*n. What is the nearest to g in -4, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -23*o - 2. Let f = -608 + 612. Let p(g) = 7*g**2 - 15*g + 5. Let q(i) = -6*i**2 + 12*i - 4. Let d(y) = f*p(y) + 5*q(y). What is n(d(b))?\nAnswer: 46*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + h - 15, 3*h = -5*k + h + 75. Let d = k + -11. Which is the second smallest value? (a) d (b) -3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9385 - 4982. What is the thousands digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.9532 to two decimal places.\nAnswer: -1.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 23202311?\nAnswer: -23202302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/19592 and 85\/5828.\nAnswer: 920824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 206.5 rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 - 58.5. Which is the third biggest value? (a) m (b) -1\/3 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1897?\nAnswer: 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyy when three letters picked without replacement from {p: 2, y: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -9.3\nAnswer: -27.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (22\/(-4))\/(0 - 3\/642) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-350)\/200*1\/7.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.21742 litres in millilitres?\nAnswer: 81217.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 1, -0.3, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0. Suppose -3 + 15 = -6*d. Let c = d - -4. Do c and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2457 + 2469. Let c(z) be the second derivative of 0 - 1\/20*z**5 - 1\/2*z**3 + z**2 - 1\/2*z**4 - b*z. Calculate c(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-79*j - 995 + 995)*(-3*j + 2*j + 3*j) as u*j + p*j**2 + a and give p.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251*s = -129*s - 415044. What is the highest common divisor of 72 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -101296, -101554, -101812, -102070?\n\"Answer: -258*k - 101038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11750 + -11748. Let h(z) = 1. Let u(v) = 17*v**2 + 5*v - 7. Let m(n) = -2*h(n) + u(n). Let o(x) = -4*x**2 - x + 2. What is w*m(d) + 9*o(d)?\nAnswer: -2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 520 - 546.9. Let r = -26.776 - a. What is r rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1*2*6\/(-2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 7*i - 12001. What is the remainder when i is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5113333 - 606667. Round x to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 4*a**2 - 4*a + 4. Let r be (-5 + 7)*-2*(-5)\/4. Let n be q(r). Let y(o) = -n*o - 10 + 14 + 0 + o**2. Determine y(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 10*p**2 + 9*p - 12. Determine h(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b - 527*b - 8942 = 1156 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14\/33 - -163\/462. Sort -3, -20, i, 0.4 in decreasing order.\nAnswer: 0.4, i, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 8 - 4 + (2 + 0 - 1)*(4 - 3 + 0))*(0 - h + 0) to the form y + d*h and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.9 - 11. Let q = 249 - 1740\/7. Sort -0.2, p, q in decreasing order.\nAnswer: q, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -32549*m - 97739. Calculate f(-3).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + k - 1. Let z be p(2). Let d be (z\/(-2))\/(36\/4). Let g = -2.5503 + -0.4497. Which is the nearest to 1\/3? (a) -0.5 (b) g (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1\/7 (c) 0.3 (d) -103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -38, 428?\nAnswer: 428","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-2)*2\/(2\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 100111010?\nAnswer: 100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 6826\nAnswer: 3\/6826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -54*g + 157. What is o(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 34180, 34164, 34146, 34126, 34104, 34080?\n\"Answer: -i**2 - 13*i + 34194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 + 19*v**2\/4 + 22*v + 23.\nAnswer: -(v - 23)*(v + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19104?\nAnswer: 2, 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 26203626 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 224533 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*sqrt(252)\/sqrt(4))\/sqrt(9))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17725071*o**3*p**2 + 5188*o**3 + 7*o**2*p - 2*o**2 wrt p.\nAnswer: 35450142*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/2 and (-904088)\/(-69536) - (35 - 22).\nAnswer: 8692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8663, -17352, -26041, -34730, -43419?\n\"Answer: -8689*u + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d\/(d**(2\/5)\/d))*d))**(3\/17)*(d**(1\/8)*d)\/(d*d**(5\/4)*d) assuming d is positive.\nAnswer: d**(-1253\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6 + 1 - 2 + 2*n. Let x be p(5). Let d = -1 + x. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 7886.6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.57619919 + 12.93500389. Let j = w + -12.4428. Let o = j + 0.084. What is o rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -u - 2*u. Suppose w - 2 + u = 0. Let o be 2*(-2)\/(-2) + w. Solve -5*c - 7 - 3 = o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4992.5 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 - -173006\nAnswer: 173006.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28014)\/2474570)\/(6*(-3)\/60).\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let j(y) = -50302*y. Calculate j(o(t)).\nAnswer: -50302*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 147 + 693 = 0. Let y = 193 - s. What is the remainder when y is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -231 + -201044531?\nAnswer: -201045202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4)*c*c\/(c\/c**(1\/4)))**(-1\/32)\/((c**(2\/17)\/c)\/(c*c**1))**(-1\/19) assuming c is positive.\nAnswer: c**(-1891\/10336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzg when three letters picked without replacement from zgnngznggzgn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 3302333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7201267*i**2*j + 3525353*i**2 wrt j?\nAnswer: 7201267*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 390?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -17*h**5\/20 + h**3\/2 + h**2 + 5*h. Is 16 a factor of o(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 a, and 1 c when four letters picked without replacement from azaazcaazcaaaczcaaa.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 72*m + 633. Let d be a(-10). Solve 16*g = -67 - d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 11:37 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 25*s + 3. Let t be j(-25). Let f be (-46)\/(-23) + (-7)\/t. Let q = -3 - 0. Sort q, f, 0.5 in increasing order.\nAnswer: q, f, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -g**3\/6 + 2*g**2 - 2*g. Suppose -7*a + 5*a = 3*h + 410, -2*a + 678 = -5*h. Let u be -1 - -9*(h\/(-36) + -4). Determine l(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.08 - -0.08. Which is the nearest to 0? (a) d (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7048605 (base 9) to base 7.\nAnswer: -43616453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10785391597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1331*k**5\/4 + 174603*k**4\/4 - 1863081*k**3 + 23782788*k**2 + 89321616*k.\nAnswer: -k*(k + 3)*(11*k - 492)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uruuuurrztot. What is prob of sequence rtu?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 117346243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 56567.39 grams?\nAnswer: 56567390000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r**2 + 11*r + 21. Let a(x) = -x**2 + 3*x + 5. Let m(j) = -10*a(j) + 3*y(j). Determine m(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 7 - (3 - -3 - 0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in twenty-five quarters of a microsecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 6 = -n, n = 3*p - 2 - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 43. Let i = r + -17. Let n be (-7)\/22 + (-2)\/i. Which is the second biggest value? (a) -1 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -630847.71 - -10062.71. Let d = 620784.9470071 + c. Let n = 0.053 + d. What is n rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5 - 2*i**4 + 10*i**3 + 10*i**2 - 8*i - 8 = 0. Calculate i.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3738 + 5883 + 5491 + 2529)*(-4*c + c + c) to the form v*c + k and give v.\nAnswer: -35282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -887, -1747, -2607, -3467?\n\"Answer: -860*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + sqrt(275)\/(sqrt(5) - sqrt(20)))\/sqrt(5) + (sqrt(176)*-2*6)**2.\nAnswer: 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131670?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6936 is divided by 776?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53581186 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -29. Suppose -4*i + 12 = -48. Suppose 0 = -g*b, b + 11 + i = j. What is the remainder when j is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 4:26 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + d)*(6*d**2 - 16*d + 16*d) + 0*d**2 + d**3 + 0*d**2.\nAnswer: 7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 4\/7, 3\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98592 is divided by 628?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1854 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3937)\/(-254) - 7*2)\/(-9). Let m(f) = -f - 2. Let n be m(-6). Sort 0.3, -0.09, j, n in ascending order.\nAnswer: j, -0.09, 0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 100\/5 + -2. What is the third derivative of -17*i - 8*i**2 + 2*i**2 + l*i**3 + 4*i**2 wrt i?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -53*f - 1. Let g(x) = 4*x**2 - 2*x - 6446. Give b(g(s)).\nAnswer: -212*s**2 + 106*s + 341637","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2307 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 97686 divided by 134?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o + 8. Let d be u(4). Suppose -4 = 2*k - d*t, -5*k = 3*t - 2*t - 1. What is the remainder when 40 is divided by k - 0 - (-15 + 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (75\/(-100))\/(13\/(-5) - -2)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15389140 and 1300?\nAnswer: 76945700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -35*p**2 + 1. Let b be j(-1). Let x = b - -47. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 4 = -4*w, 128 = 2*w + 3*t + 151. Let h(g) = -g - 15. Give h(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.2, -255, 37, -0.1 in increasing order.\nAnswer: -255, -3, -0.2, -0.1, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (153\/119)\/((-50)\/(-4) + -3 - (-52)\/(-182))?\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is bb97 (base 14) in base 11?\nAnswer: 22441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57103288.\nAnswer: 2, 11, 58991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19529 (base 10) in base 7?\nAnswer: -110636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 459, 454, 449, 444, 439, 434?\n\"Answer: -5*z + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from lggluglnng.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32034 (base 5) to base 14.\nAnswer: ad2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*j - 319 = -115*j - 341*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 + -78. Does b = 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.972 times 1.50271?\nAnswer: 2.96334412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = -s. Let v be (8\/s)\/(0 - 2). What is the second derivative of v*t - 2*t**3 - t + 6*t**3 - 6*t wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*s + 488*s = -8 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/6)\/(12\/18). Let f = 14 - 14. Solve f = c*t + t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*b**2 + 61527*b\/2 - 41130 = 0 for b.\nAnswer: -6855\/14, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 321442427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 401 + -399. Solve y*o - 6 = -4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -97850.0289845 - -97850. Let y = w + 0.029. Round y to six dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-1\/2))\/(t\/(t\/(t*t**(-6)\/t*t))))\/(t**(3\/5)*t*t**(1\/5)*t))**(-4\/9) assuming t is positive.\nAnswer: t**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 334080 rounded to the nearest 1000?\nAnswer: 334000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-208)\/(-15106))\/(8\/(-224)*-16).\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7.5 - -1724938612\nAnswer: 1724938619.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*m**4\/5 + 508*m**3\/5 + 936*m**2 + 1296*m\/5.\nAnswer: 2*m*(m + 18)**2*(7*m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -371 (base 8) in base 15?\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j**4 + 3*j**4 - 2*j**4 + (-2*j**2 - 11*j + 11*j)*(4*j**2 + 0*j**2 - 2*j**2) to f + v*j**4 + w*j**2 + p*j**3 + c*j and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 17*k**2 - 4*k. Let x be s(-1). Calculate the greatest common divisor of x and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 w when three letters picked without replacement from dwwwjwjwjwjwjwwjjh.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 93607 to the power of 1\/2, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + 4?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9109.596 centimeters to kilometers.\nAnswer: 0.09109596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-49 - -1) + (2276 - 2274)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2267970 by 85.\nAnswer: -26682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 83\/(-830)*((-380)\/(-30) - 13)*(-1 + 16). Solve y*a**2 + 2*a**3 - 8*a - 1\/2*a**4 + 6 = 0.\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57\/1870 or 0?\nAnswer: -57\/1870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2198872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -208, -789, -1762, -3133, -4908, -7093?\n\"Answer: -s**3 - 190*s**2 - 4*s - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9979, -39924, -89831, -159700, -249531, -359324, -489079?\nAnswer: -638796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7830.179 grams to milligrams.\nAnswer: 7830179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.3619668m?\nAnswer: 361.9668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -18. Let n = 19 + b. Let y be (2 - 22\/n)*-8. Solve 2*h - y*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11\/4, -12\/5, -35067?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 3*n + 17, 0*t + n = t - 8. Suppose -5*i + d = -414, -3*i + t*d = 11*d - 253. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*y**3 + 0*y + y**3 - y**3 + 9*y wrt y.\nAnswer: 36*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-16)\/v)\/v*v**(-7\/6))\/(v\/(v*(v\/(v\/(v**(-2\/5)\/v)))\/v*v))**(-23) assuming v is positive.\nAnswer: v**(391\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 387.8 - 388. Let a = -0.0493 - -1.6493. What is the closest to a in -0.5, h, -5, -0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1194 divided by 16209\nAnswer: 398\/5403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s - 6. Let o be g(3). Suppose 8 = -4*l + 4*c, 6*c - o*c = -4*l + 20. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*a - 3*p, 3*a + 3017 - 2990 = 5*p for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4354*b - 879*b + 769*b + 1871*b + 600*b.\nAnswer: 6715*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.2, 3068, -1, -3, -0.4, -2\/3.\nAnswer: -3, -1, -2\/3, -0.4, 2.2, 3068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + a - 15. Let p be (-2 - a\/2)\/(-2). Let w = 13 + -12.9. What is the smallest value in p, -4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven halves of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -6219*d - 6218*d - d**3 + 6*d**2 - 12 + 12434*d. What is i(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**2 + 3*n**2 - 4*n**2)*(74*n - 54*n - 22*n + 46).\nAnswer: -4*n**3 + 92*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 26*p**3\/3 - 15*p**2 + 4*p - 211. Suppose b(y) = 0. What is y?\nAnswer: 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 11*x - 215. Let u be o(12). Let w = 94 - u. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 1. Let c = 45 - -173. Let j = c - 219. What is the closest to t in 0.2, j, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v + 2*v)*(-v**2 + 0*v**2 + 3*v**2)*(139 + 38 - 6).\nAnswer: 1026*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2800*j + 1639*j + 492*j + 482*j + 825*j - 8521 wrt j.\nAnswer: 6238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4819720\/193 or -24973?\nAnswer: -4819720\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -19*s**2 + 4*s - 4. Let l(b) = -b**2 + 5*b - 1. Calculate c(w) - 3*l(w).\nAnswer: -16*w**2 - 11*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 469.\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6510140.\nAnswer: 2, 5, 7, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/62 and -4\/93.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 - 1345*u**3 + 4065*u**2 - 4075*u + 1360.\nAnswer: -5*(u - 1)**3*(u + 272)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -29.29.\nAnswer: -29.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 1 + 0 + d - 2. Let p(y) = 6*y + 2. Let q(i) = 5*i + 1. Let f(g) = 3*p(g) - 4*q(g). What is f(v) + 2*h(v)?\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 8) in base 16?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1888830.9 hours?\nAnswer: 78701.2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1869327753.\nAnswer: 3, 623109251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13202333 - -1121020?\nAnswer: -12021313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqneqxxnxxxbxqxbnx. What is prob of sequence qnxb?\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(2 + -1 + 2*sqrt(1300)) + -4)*2)**2.\nAnswer: -480*sqrt(13) + 187204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + sqrt(68) + 0)**2.\nAnswer: 4*sqrt(17) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -57, 300.\nAnswer: -57, -5, 4, 300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-138)\/230*(-10)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -280, -275, -270, -265, -260?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 540453333.\nAnswer: 3, 7, 23, 1118951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 95*u + 1818. What is the lowest common multiple of x(-19) and 33?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (152\/(-84))\/(-38)*-3.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 27*k = -1001. What are the prime factors of k?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 51278642 = -2*p, -2*j + 4*p + 25382930 + 256386 = 0. Suppose -2*k - 3*k = -j. Let t = k - 6263932. Round t to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*b**2 - 86*b**2 + 199*b**2.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/4*(-8)\/(-3)*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*a + 2. Suppose a = 2*k - 0*k. What is the third derivative of r**5 + 2*r**2 - k*r**2 + 6*r**2 wrt r?\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.33 and -19186.64.\nAnswer: 6331.5912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmhccvchcccchmhcmmm. Give prob of sequence cc.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 1198088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-26*g - 75*g + 12*g)*(4 + 0 - 5)*(1 + 2 - 1) in the form x + l*g and give l.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -8 - ((1 - 4) + -53 + -5 + 63)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 - 42. Calculate the remainder when 83 is divided by i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 500 or 468?\nAnswer: 500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16, 3, 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145\/232*-152*(1 + 2)\/(-15).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7}. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 10b41?\nAnswer: -10b3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 60. Let m be v(24). Suppose 32 = 7*n - m. Let t = 36 + -6. What is the highest common factor of t and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-8 - (-7 - 3)) - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 2312022303?\nAnswer: -2312022300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**5\/5 + o**4\/3 - 5*o**3\/6 + 5*o**2\/2 + o + 1. Let k be j(2). Are -21 and k unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144096 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) -4 (c) 0.5 (d) 0.1 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 14\/91 - 74\/(-26). What is the second derivative of 152*b**3 - 11*b - b**5 - 152*b**c wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4382, 8731, 13080, 17429, 21778?\n\"Answer: 4349*b + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -689 divided by 10240\nAnswer: -689\/10240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*v + 137*v + 37*v.\nAnswer: 198*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a decade?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, -0.4, 11, -5, -1\/15 in descending order.\nAnswer: 11, 3\/5, -1\/15, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-312)\/234*2\/8 + 1.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45073)\/411 + 111)\/(58\/(-3))\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/215 - -457\/1935. Which is the closest to -1\/3? (a) 4\/19 (b) v (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/5, -5, -4\/3, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**2)**(-19)*(p\/(p**(-1\/4)\/p))**44 assuming p is positive.\nAnswer: p**118","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 3:10 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(65)*1)\/(1*sqrt(405) + sqrt(405) + sqrt(405) - sqrt(5)).\nAnswer: sqrt(13)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/80)\/((-3)\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -b - 130, 2*b + 5*d + 390 = -b. Let n be (1 + 38)*b\/(-15). Let k = -241 + n. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 2 = -12*i. Let o be (-1)\/i*((-8)\/2 - -2). What is the tens digit of (-3)\/(-4)*(162 + (o - 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -269340452*0.2\nAnswer: -53868090.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -192560*g*i**2*q**2 + 2165*g*i*q - 4*g*q - 2*i**2*q**2 - 37*i**2 - 3*q**2 wrt q?\nAnswer: -385120*g*i**2 - 4*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*y + 80 = 156*y - 74 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - j + 11 - 6 = 0, 3*t - j - 15 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -5*l**4\/4 + 2*l**3\/3 + l**2\/2 + 7. Calculate the remainder when w(-1) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2150 and 450640?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of 1\/480*m**6 + 0*m + 0 + 1\/1344*m**8 + 0*m**4 + 0*m**3 + 0*m**5 + 5*m**2 - 1\/420*m**7. Factor r(b).\nAnswer: b**3*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10198781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (0 + -2)) + (-11)\/(264\/(-720))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(-2)*(-369)\/(-9) and -67\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**2 - 6*u**2 - 3*u**2.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1152424 and 25536?\nAnswer: 525505344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110110111100111 (base 2) in base 3?\nAnswer: 22002101120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-12)\/16)\/((-36)\/(-16))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -0.13, 0.4, -283?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 0.1, 0.57 in descending order.\nAnswer: 43, 0.57, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 + -43. Let u be (325\/(-15))\/(-2 + c\/9). Suppose -u*g = -60*g - 455. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*v - 27*v + 79*v + 5*r + 23 = 25*v, 0 = 9*v - 2*r + 30 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-517)\/77 + (-2)\/7. Let a(r) = -7*r + 24. List the prime factors of a(c).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3352436.\nAnswer: 2, 19, 44111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4405, -17603, -39597, -70387?\n\"Answer: -4398*k**2 - 4*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -502+-0.063\nAnswer: -502.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - t**2 + 2*t**2 - 4*t**2. Let y(w) = -13*w**2. Calculate x(y(j)).\nAnswer: -338*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*((1*sqrt(104) + sqrt(104)\/(sqrt(4)*1))\/(sqrt(2) + -4*sqrt(50) + (sqrt(4) + sqrt(36))\/sqrt(2)))**2.\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/1)\/((-28)\/(-14)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 26069, 26039, 25989, 25919, 25829, 25719?\n\"Answer: -10*o**2 + 26079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1)\/(a\/(a\/(a*a**8\/a)*a)))\/(a**(-3)\/a*a*a\/((a*a**(9\/5)*a)\/a)))**(3\/10) assuming a is positive.\nAnswer: a**(-24\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*l + 5860 = 42*l - 16*l - 143*l for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 0*g + 0*g)*(-9 - 2*g + 9)*(2 - 2 + 1).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 325130008 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3*c**3 - 11*c**2 + 7*c - 13. Let h(d) = 21*d + 28. Let z be h(-1). Let q(n) = -2*n**3 + 6*n**2 - 4*n + 7. Determine z*q(g) + 4*k(g).\nAnswer: -2*g**3 - 2*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/(-4)*((-52)\/48 - 3\/12). Solve 0 = -3*z - b - y, 2*z + 4*b = 1 + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 701312131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 3*x**2 + 6*x + 3. Let d be s(-3). Solve -3*c + 6*c - 3*a = d, 0 = -3*a + 3 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * -3220\nAnswer: 16100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1030 and 10609.\nAnswer: 106090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 152?\nAnswer: -5\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 83, 2.\nAnswer: -1, 2, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 7 + 42 = 0. Let o be 0 - (-3 + a)*1. Calculate the remainder when -3 + o - 1\/(-1) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, p: 2, h: 2, k: 3, e: 1, r: 1}. What is prob of picking 2 k and 2 c?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47346*p - 48228*p + 63504 = 0 for p.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -232143 + 5?\nAnswer: -232134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in 0, -3, 832?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -224026 equal to -224097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80.085 - 0.1329.\nAnswer: -80.2179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43\/126 + -1\/126. Let t(m) be the second derivative of 0*m**2 - x*m**3 + 1\/12*m**4 + 3\/20*m**5 - 1\/30*m**6 + 0 - 9*m - 1\/42*m**7. Factor t(b).\nAnswer: -b*(b - 1)**2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30499 = 2*h - h. Suppose 144499 = x + h. Round x to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - 3*c + 0*c)*(-1 + 1 - 2*c) - 37*c**2 + 241*c**2 - 71*c**2 to g*c + i + u*c**2 and give u.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1349.478 nanoseconds?\nAnswer: 0.000001349478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/128*-1*90\/5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -1) + (-19 - -21) + (-10 - -2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -4\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -1221?\nAnswer: -1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0889 and 3013?\nAnswer: 267.8557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 5:17 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05032 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 6 = -3*a. Suppose 0*f - a*f + 6 = 0. Solve 0*v = -f*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*f = -236, -37 = -u - 2*f + 17. List the prime factors of -7 + 8 + u\/(4\/2).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 76867.69ms?\nAnswer: 76867690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8480659 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.716844 litres?\nAnswer: 3716.844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 - 32*r**2 + 10*r - 160. Let z be p(16). Solve 3*k - 18 = 4*l - l, -4*l - 4 = z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232 divided by 58.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38 from 0.05065.\nAnswer: -37.94935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/(((-4)\/(-14))\/(6\/(-42)*-1))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112787663.\nAnswer: 1637, 68899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28994741 and 323?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 - 1. Let p(w) = w**2. Suppose -4*c + 15 = -c + 3*k, c - 4*k - 10 = 0. Suppose c*n = 3*n - 3. Determine n*b(z) - p(z).\nAnswer: 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**3 + 88*s**4 + 86*s**4 - 175*s**4 + 768*s**2 + (0 + 0 + 1)*(-1 - 2 + 4)*(2*s**4 - 4*s**4 + 0*s**4).\nAnswer: -3*s**4 - 2*s**3 + 768*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(190)\/sqrt(90)*2.\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 52*x**3 + 2*x**2 - 3*x + 1. Suppose 0 = -5*d + 5*b + 5, -4*b + 4 = 0. Is f(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + 73\/(11972\/(-5896)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -261445 + -2?\nAnswer: -261447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -71*k**2 + 4*k. Let p(u) = 210*u**2 - 11*u. Let i(o) = -8*h(o) - 3*p(o). Let y(a) = -3*a. Calculate i(y(g)).\nAnswer: -558*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*v**2 - 2*v**3 - 15*v - 3092 + 15*v + 3092.\nAnswer: -2*v**3 + 55*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 8*n**2. Let p(x) be the third derivative of -473*x**5\/60 - 994*x**2. Determine w(p(s)).\nAnswer: 1789832*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1888290 is divided by 107?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**2 + 5*u + 3 + 0*u - u + u**3 - 10*u**2. Let b(r) = 2*r**3 - 13*r**2 + 9*r + 6. Let s(v) = -3*b(v) + 7*t(v). What is s(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4782.7463 - -4783. Round f to 2 dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 + -0.06. Let p = y - 0.11. Let a(c) = -c**2 + 8*c - 1. Let j be a(8). Are p and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15420 and 0.2.\nAnswer: 3084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 10. Let b be a*(21\/(-6) - -3). Solve b*p + 0*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1671+-4703915.2078\nAnswer: -4702244.2078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 7:57 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2655 = 4*k - f, k = 4*f + f + 640. Suppose -4*i - k + 2141 = 0. Suppose 0 = -4*j + i - 53. Calculate the remainder when j is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 654, 1307, 1960?\nAnswer: 2613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99\/4 + -499\/20. What is the second smallest value in j, 3, -2\/63?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) -2 (c) -0.2 (d) 2 (e) 4\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1475 + 7830. Is u a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1242908 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3 - 28\/(-6). Let u(b) = b. Let y be u(0). Suppose y*d - v = -d. What is the smallest common multiple of 1 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -r + 25, -4*i - 11*r - 41 = -16*r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 334, 633, 1024, 1513?\nAnswer: 2106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -14. What is the remainder when 0 + 42 - (x - -9) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -0.2 (c) 1\/7 (d) 0.1 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, f: 3, x: 6}. Give prob of sequence xffx.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -6610 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2563 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 - 17?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 19 in decreasing order.\nAnswer: 19, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19233 is divided by 815.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c*o**5 - 5*c*o**4 + c*o**2 - 747*o**2 wrt o?\nAnswer: -180*c*o**2 - 120*c*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*b + 168452 = 0, -2*z - 51*b + 112344 = -49*b. What is the thousands digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 190*b + 157?\nAnswer: 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 4:54 PM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 3*u + 2*u)*(1 + 1 + 15*u - 19*u).\nAnswer: -4*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 2623*w**8\/112 + 19*w**5\/12 + 29*w**3\/6 - 4523*w**2. What is the third derivative of s(n) wrt n?\nAnswer: 472140*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -204*c - 8*c - 48*c.\nAnswer: -260*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 765 = -6*p. Let j be (-4 - p\/(-25))\/(3\/(-15)). Suppose 4*r + 20 = 0, -5*m - r + 600 = j*r. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-6))\/(g*g\/g**(-6)))**(-4\/21)\/(g**5\/(g\/g**(-2\/13))*((g\/g**(2\/5))\/g*g)**(-25)) assuming g is positive.\nAnswer: g**(1223\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1410, 1353, 1260, 1137, 990, 825, 648?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-5*(sqrt(119)\/(3*sqrt(7)) + 0 - ((sqrt(1088) + 1 - sqrt(1088) - sqrt(1088))*-3)**2).\nAnswer: -2165*sqrt(17) + 147015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -176a37a?\nAnswer: 176a375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 15*f - 6. Calculate o(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-4)\/(-10)) + 7. Suppose -5*s + 20 = 0, 10*s - 181 = -z + a*s. Is 189 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 1:18 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 154 + -152. Solve -2 + 12 = -t*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3118 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/13822 and -1\/1478954.\nAnswer: 1478954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 19661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -4, -128, -1 in decreasing order.\nAnswer: -1\/4, -1, -4, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 37*x**2 - 35*x - 15. Let h be g(36). Let y be (6 - 351\/63)*h. Solve -k = 2*k + y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 11 + 9*u**2 - 46*u - 37\/6*u**3. Let r(x) be the first derivative of y(x). What is the derivative of r(f) wrt f?\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.81, -0.1, 3, 2\/15, -0.3.\nAnswer: -0.81, -0.3, -0.1, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 83747 - 265?\nAnswer: 83472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -852\/5 + 171. Let c = -7 + 1. Let o = 11 + c. Sort 0.5, d, o in descending order.\nAnswer: o, d, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(-1 + -2*sqrt(8) + 3 + sqrt(98) + -2))**2.\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22811?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27312596 is divided by 392.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 312 + -117. Let y = 195.89 - c. Let v = -0.8899923 + y. Round v to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 827, 1142, 1467, 1808, 2171, 2562?\nAnswer: 2987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**3\/3 + 25*s - 2. Let a(m) = -243*m. Give c(a(f)).\nAnswer: -486*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1. Let u(y) = -y - 5. Let a(o) = o - 11. Let b be a(16). Calculate b*i(v) + u(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 3*z**2 + z. Let b be o(2). What are the prime factors of 1202\/18 + (-4)\/b?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-69)\/(-7)) + 4080\/462 + -10?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27298817 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -941 - -946. Let q(x) be the second derivative of 1\/15*x**6 + 0*x**2 - 7*x + 0*x**4 + 0*x**k + 0 + x**3. What is the second derivative of q(f) wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 15*l + 3. Let t(x) = 11*x**2 + 5*x + 1. Let f be t(-1). Suppose -14*a - 14 = -f*a. Give b(a).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2 - 32*m - 44. What is f(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a5 - -308a?\nAnswer: 2ed5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 13430*c - 443187. Determine v(33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*w = -3448, 0 = -2*i + 5*w + 1683 + 1786. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 25 = 4*r, 2*w = 5*r + 93. Let y = w + -21. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*j - 2 = 0, 2*a + 3*j + 3 = a. Factor a*f + 3*f**2 + f - 11 - 4*f + 5.\nAnswer: 3*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 17.81418 millilitres?\nAnswer: 0.01781418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*i**3\/11 + 34266*i**2\/11 + 16760510*i\/11 + 427908150\/11.\nAnswer: 2*(i + 27)*(3*i + 2815)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 0*o + 0*o)*(-4*o + 52 - 80 - 115 - 4*o).\nAnswer: 16*o**3 + 286*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 11\/3*k**3 - 16*k + 5 + 8*k**2 - 1\/4*k**4. List the prime factors of p(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 171335 = -101133 - 520855. List the prime factors of f.\nAnswer: 181, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -83439.\nAnswer: 1\/83439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 0, -2, -14, -34 in decreasing order.\nAnswer: 1, 0, -2, -4, -14, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -5077644?\nAnswer: -5077646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 19*v + 117. What are the prime factors of v?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 38\/953601?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 576\/(-432)*(-3)\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1218*a + 23311 + 19836 - 2953 for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 1, -5 in increasing order.\nAnswer: -5, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 16*r**2 - 13*r + 3. Let c be b(16). Let t = c + 290. What is the remainder when t is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**6\/120 + d**5\/60 - d**4\/24 - 2*d**3\/3 + 40*d**2 - 1. Let f = 4 - 7. Is 24 a factor of w(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1418898 + -1487102. What is j rounded to the nearest one hundred thousand?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - 7*z. Let h(d) = -d + 7. Let v be h(-3). Let m be (-8)\/72 + v*(-21)\/54. Let w(u) = -u**2 - 3*u. What is m*c(p) + 9*w(p)?\nAnswer: -p**2 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x**3 + 5*x**2 + 5*x + 7. Let c(s) = s**3 + s**2 + s + 1. Calculate 10*c(f) - 2*k(f).\nAnswer: -6*f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 714 and 2754.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 9:24 AM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 43 = -22. Calculate the smallest common multiple of 1 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1402910 + 6372610 = 20*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230243 divided by -783.\nAnswer: 230243\/783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -2*c**2 + 88572*c - 980624898 = 0.\nAnswer: 22143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1\/2))\/c)\/(c*c**(1\/3)\/c*c*c)*(c**(-6))**(2\/25) assuming c is positive.\nAnswer: c**(-347\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0*g = 5*g + 30, v + 2*g - 33 = 0. Let y = 44 - v. Calculate the highest common factor of y and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000024231397 rounded to seven decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 3*w + 525 = -15*f, 5*f + w + 545 = 0. Let v be 2\/(-4)*2 - f\/18. Solve -4*y - 23 = 5*k, 0 + 5 = -v*k + 5*y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32.49364 * 0.164.\nAnswer: 5.32895696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*m**2 + 36*m**2 - 117*m**2 to the form x*m**2 + k + c*m and give x.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/13*2)\/(133\/(155610\/(-180))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 570 = 405 - 699. What is the highest common divisor of 5221 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 15 + 2*o + 15*o + 6*o - 3*o. Let g be z(-2). Let d = g - -211. Does 31 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/21 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.2, 1, 4, 2 in ascending order.\nAnswer: 1, 2, 2.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 94 - 58 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 86?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 11 + 10 = 0. Suppose m*n = 4*n + 15. Let g be -6 - (6\/3 - 3). Put 2, g, n in increasing order.\nAnswer: g, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-21 + 15)) + (4 - 4) + 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*q + 23*q + 51. Solve 4*h = -0*z - 2*z + 6, -4*z = 3*h - q for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*k + 32*k + 4*q, 6 = -3*q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1bdca (base 14) to base 11\nAnswer: 49652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -84, -0.3, -902 in ascending order.\nAnswer: -902, -84, -0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 - 5*p**4 + 3*p**4 + (-5*p + 2*p + 5*p)*(0*p - 2*p**3 + 0*p) - p + p + 2*p**4 + (p**3 + 2*p**3 - p**3)*(-21 + 7*p - 17*p + 6*p).\nAnswer: -9*p**4 - 42*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -790 - -1164. Suppose -o = 3*o + 5*q - n, 4*q - 463 = -5*o. Let b = -5 + 18. Calculate the highest common divisor of b and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7948 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2481 - 2478. Solve -6*i + w*d = -7*i + 7, 0 = 4*i - 2*d - 14 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 3 = 4*j - 4*r - 23 + 16, 0 = -2*r - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*j**3 + 38*j**4 - 79*j**4 + j**2 + 3 + 43*j**4 + 1 as p*j**4 + o*j + l*j**3 + v*j**2 + r and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a38 + 14724?\nAnswer: 15661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -31*f - 230. What is the least common multiple of p(-8) and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 285203 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 10:43 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 282\/48 - -4. Let b(a) be the second derivative of -4*a + 0*a**2 + 0 + 1\/6*a**3 + 1\/40*a**5 - l*a**4. Factor b(t).\nAnswer: t*(t - 2)*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - ((1 - (1 - 0)) + 109 + -11 + -105).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2. Let x be 273\/11 - (216\/22 + -10). Let z(c) = -16*c + 53*c - x*c. What is z(k(y))?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -69*x. Give u(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 12 = -h, 4*j - 5*h + 17 = 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -2.4519?\nAnswer: 7.4519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 7:24 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 8*c + 5. Let d be p(-9). Suppose 0 = -2*y + 4*x + d, -3*y - x = x - 61. Calculate the remainder when 50 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-36)*(-39)\/(-26).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-188 - 199 + 477)*(-2*h + 0*h + 4*h + (-3 + 2 + 3)*(3*h - 5*h + 0*h)) + 129 + 130 + 31*h - 257 in the form y + u*h and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7480 and 923032?\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4)*(1 - 1). Let i = 0 + h. Suppose i = -2*p - p + 12. Does 2 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 2 + 2)*(-3 + 0 - 1)*(-1926 + 1926 - 70*g**3).\nAnswer: 280*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 4 = -8*l. Solve -5*y - 11 + 2 = l*x, 0 = y - x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 48 = -5*u, 5*r = 5*u - 0 + 15. Let p = r - 12. List the prime factors of (-2)\/p + 92\/20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -40*h**4 + 39*h**3 - 12*h**2 - 1193*h + 2871. Let r(n) = 9*n**4 - 10*n**3 + 3*n**2 + 298*n - 718. Let u(a) = -9*r(a) - 2*x(a). Solve u(k) = 0 for k.\nAnswer: -5, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -4*x - 5*r, 5*x + 90 = 2*r + r. Let g = 16 + x. Sort -5, 0, g in increasing order.\nAnswer: -5, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 5*i**2 + 3*i + 2. Let d be x(4). Let p be ((-22)\/10 - d)*107. Let w = p + 943\/45. What is the biggest value in w, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 0*y + 0*y + (3 - 3 + y)*(2 - 4 + 3))*(-2 + 2 - 2).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*k - 52853 - 168272 + 1633. Does 63 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 20 = 2*d - 199, s - 1 = 0. Let f = d - 62. Calculate the remainder when 45 is divided by f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 183\/244 - (-3 - -1)\/8. Let f be (-4)\/6*(-2 - 1). Solve -f*b - 9 = a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 - 4*u - 1. Let l(x) = -2*x**2 - 2*x. Let h = 5 - 5. Suppose 0 = -3*j - h*o - 2*o + 9, 0 = j - o - 8. What is j*l(d) - 2*q(d)?\nAnswer: -2*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -870*w**3 - 11*w**2 + 21*w + 121. List the prime factors of x(-3).\nAnswer: 131, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 + -5543315?\nAnswer: -5543255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 7 + (-15 - (-3 + -17))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 748, -2\/5 in ascending order.\nAnswer: -4, -2\/5, 748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y - 1. Let z(p) be the second derivative of p**3\/3 + 15*p**2\/2 - 6*p. Let q(t) = -t**3 + 9*t**2 - 9. Let l be q(9). Let i be z(l). What is r(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 44789, 89580, 134371?\n\"Answer: 44791*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -184 + 219. Does 69 divide (-5053)\/(-7) - (-5)\/a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/2 + 1 + 259\/(-518). Calculate the common denominator of (l\/(-34) + (-237)\/136)*7 and 0\/(-1) + (-18)\/123.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n - 72. Let q be v(11). Is 11 a factor of (237\/q - -5)\/((-1)\/22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712453789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 17206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/18 + 6\/27. Suppose -p = -n, p = -0*n + 3*n + 8. Let k be -2*1 + 2 - n. Solve 0 = k*o + 3*y - h, 2*y + y = -3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.619215 litres to millilitres.\nAnswer: 619.215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.859319 to one decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1012 and 1748.\nAnswer: 19228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 2*v**4\/3 - 11*v**3\/6 + 2*v**2 - 17*v. Calculate the remainder when u(4) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -1443344?\nAnswer: 721672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 1)*(-5 + 2) + 10. Solve -13 = 4*u + f for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**4\/2 + 17*b**3\/2 - 165*b**2\/2 - 2925*b\/2 = 0.\nAnswer: -15, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 - 1 + 1. Let c(u) be the third derivative of -u**8\/5040 - u**5\/10 + 3*u**2. Let q(t) be the third derivative of c(t). Determine q(o(a)).\nAnswer: -16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 349.67, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o - 1. Let k be v(-2). Let p = -4 + 2. Let z be (-2)\/1*(p + 0). Solve k = z*x - n - 12, -3*n - 1 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302477604 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, b: 3}. What is prob of picking 1 b and 1 m?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**4 + 3*x**3 + 2. Let r(k) = -16*k**4 - 10*k**3 - 6. Suppose 20 = -2*j - 20. Let w(s) = j*l(s) - 6*r(s). Differentiate w(c) with respect to c.\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4600\/(-375))\/46*120\/(-688).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 - -2.1. Let k = g + -4. Suppose -5*u = 5*x + 5, 3*x - u + 1 = -6*u. Which is the nearest to x? (a) 12\/5 (b) 4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v - 8. Let a be 3\/((-22)\/(-8) - (-5 - -7)). Suppose 4*x - a*p - 32 = 0, 5*p + 12 = 2. Calculate z(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 e, and 1 r when four letters picked without replacement from {y: 1, e: 2, r: 4, l: 7}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -2*h**3\/3 + 7*h**2\/2 - 7. What is the second derivative of r(n) wrt n?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33\/8 + -13 + 9. Let m(n) be the first derivative of 1\/16*n**6 - 3\/40*n**5 - 3 - 3\/32*n**4 + 0*n**2 + x*n**3 + 0*n. Factor m(y).\nAnswer: 3*y**2*(y - 1)**2*(y + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from {e: 3, v: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-15)*(30\/40 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5993270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 17. Let b(y) = y**2 - 5*y - 3. Calculate b(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3713 - -3738. Calculate the lowest common multiple of 50 and w.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3856*b - 5551. Calculate p(2).\nAnswer: 2161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 + -20 - -8) + (2 - 7) + 6.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 214.6 rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2 - 4 = -2*t, 0 = -3*b + 3*t - 3. Suppose c = -5*n - 0*c - 21, -n + 2*c = 13. Let g = -2598 + 2601. Sort b, g, n in decreasing order.\nAnswer: g, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + 3*m**2 + m**3 + (-11*m**3 - 15*m**3 - 3*m**3 + m**2)*(2 - 1 + 0).\nAnswer: -28*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a. Let o(d) = 7*d**2. Give v(o(w)).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 71, 2\/3, 1\/5 in ascending order.\nAnswer: 1\/5, 2\/3, 4, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 3. Let m be 1\/(-7) + (-162)\/42. Let g be (2 + m - 1)*-1. Solve -2*x + k = g*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, 6, 4.\nAnswer: 4, 6, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, 0.2, -100\/7, -3, -9 in descending order.\nAnswer: 0.2, -0.2, -3, -5, -9, -100\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 21247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + 1 + (-3)\/2\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 - -0.8. Suppose -71*y - y + 235 = -25*y. Which is the nearest to h? (a) 0.8 (b) y (c) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.3 - -0.7. Let y be (-2)\/3 - (-742)\/(-21). Let g be (-1)\/(-3 + y\/(-8)). Put m, g, 0.3 in ascending order.\nAnswer: g, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 126, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f. Suppose -16 - 64 = 2*g. Let a be g\/(-18) + (-6)\/27. Let z(k) = -2 + 2 - k**a. Give v(z(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*c = 11440, -28*c + 26*c - 11440 = -s. List the prime factors of s.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12788.633 rounded to the nearest one hundred?\nAnswer: -12800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -21*q + 48. What is m(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 52\/5 of a century?\nAnswer: 12480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-2 - 7) - -5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20828, 24917, 29020, 33143, 37292, 41473?\n\"Answer: b**3 + b**2 + 4079*b + 16747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3102 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-213) - (45783984\/(-8023))\/(-92).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/6 or -7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.1? (a) -0.1 (b) -292 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from jjajajjjaalal.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 19730 to the nearest one hundred.\nAnswer: 19700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92a (base 11) to base 13.\nAnswer: -683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9 and -61.7.\nAnswer: -52.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 324 and 144.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*a - 100 = 0, -4*a = 5*g - 5*a - 149. Calculate the greatest common divisor of 319 and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*3.0126901.\nAnswer: 18.0761406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -252.50225 to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1564, 1608, 1652?\nAnswer: 1696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 301610 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 517303512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11 + 9\/(-3) + -3. Suppose -3*n + 6 = h - 2, -5*h = -r*n - 20. Solve 0 = -h*m + 4 + 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 247 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*x**5 - 214*x**4 - 32*x**3 + 454*x**2 + 272*x + 40 = 0 for x.\nAnswer: -1, -2\/5, -1\/4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(9) - sqrt(9)*-2) - (-1 + sqrt(2))*1) + 5*5*sqrt(8).\nAnswer: 1 + 148*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(1408))\/(-4*sqrt(44)\/sqrt(4)))**2 + (sqrt(1944) + sqrt(1944) + sqrt(1944)*-2 + sqrt(1944))\/(-3*sqrt(12)\/sqrt(4)).\nAnswer: -6*sqrt(2) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 896528*w**2 - 5379230*w - 4482700.\nAnswer: 2*(w - 448270)*(w + 1)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 226 and 3998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s = 3. Is 1\/s - 140\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 0.6 (b) 99 (c) -0.1 (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -5*d + 66*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 243540422 (base 6) in base 15?\nAnswer: 621a2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 19 - 14 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7693 and 41605942.\nAnswer: 291241594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + 13 + -12 + 8 + -2 + 5 + -6?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + -2)\/((-49)\/(-198891))?\nAnswer: 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 + -0.8. Let j be -2 - 3\/((-54)\/32). Which is the nearest to -1\/3? (a) j (b) 2\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 2*y - 30, 0 = 5*m + 6*y - y - 50 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 541740.3 millilitres?\nAnswer: 541.7403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*p - 125*p = -2500197. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (807*i - 807*i + 6*i**3)*((3 - 1 - 1)*(-5 + 1 + 3) + (-5 + 1 + 2)*(0 + 0 - 1) - 3 + 1 + 0 + 0 + 1 + 0 + 3 + 5 - 12).\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1104025 to the power of 1\/2, to the nearest integer?\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -39 + -62447?\nAnswer: -62482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 5 = 5*i + 6*i. Let s(g) = -12*g - 19. Calculate s(i).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 6 - 14. Let n(s) = -s + 18. Let m be n(15). Let i(v) = 0*v**d + m*v**2 + v**2. Calculate i(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -588 - -597. What is the lowest common multiple of ((-45)\/t)\/(-1 - (-6)\/9) and (-2)\/4 + 74\/4?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/5*q**4 + 207\/5*q + 162\/5 - 3*q**3 + 29\/5*q**2 = 0. Calculate q.\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103253816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -481178310 or -481178311?\nAnswer: -481178310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 8*f**2 - f + 1. Let v be (-56)\/(-12)*(-54)\/(-21). Let p = 13 - v. Let d be z(p). Calculate the greatest common divisor of d and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 85, 41, -43, -179, -379, -655, -1019?\nAnswer: -1483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 15750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 446*r - 426*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 131064243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 13. Let m = -6.4 - c. Which is greater: m or -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/4 - (-1639)\/22. Let s = -56 + b. Let p = -18 + s. Solve 2*v - 2*x = -2*v + p, 0 = 3*v + 5*x - 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -a - 19, 5*f + 9 = 4*a - 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124061 is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 92347200 and 4.\nAnswer: 369388800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 469 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 4*a + 15523 - 15503 = 0, -a = -2*w + 5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**4 + 2*b**4 - 4*b**4 + 2*b**4 + b**4 + b**4 + (b**3 - 2*b**3 + 2*b**3)*(-3*b + 3*b - b) + 121*b**4 + 1337 - 1337 - b**4 + b**4 + 2*b**4.\nAnswer: 121*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/(-21) - 2\/(-1). Suppose -7*o = -5*o - 2. Which is smaller: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 3, -3, -3\/19, 0.2 in descending order.\nAnswer: 41, 3, 0.2, -3\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13833 (base 9) to base 12\nAnswer: 5556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**6\/5 + m**2\/2 - 2*m. What is the derivative of h(d) wrt d?\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.02, 7, -1, 5?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -19. Let k = w - -1. Sort 1, 2, k in ascending order.\nAnswer: k, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*v + 251*v - 206*v + 2550 = 0 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4211 is divided by 837.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/4600 and 31\/230.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/6)\/(((-15)\/6)\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(171) + sqrt(171) + 0 + sqrt(171))**2.\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4267098*j**5 - 13196*j**2 + 2*j - 47 wrt j.\nAnswer: -256025880*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.6 - 7. Let c = n + -0.4. What is the closest to 1\/3 in 2\/7, -2, c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**12)*m)**(17\/3)*(m**(1\/9)*m*m)\/(m**(-2\/31)\/m) assuming m is positive.\nAnswer: m**(-16505\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-15))\/k)\/k**(-6\/17))\/(k\/k**8)**(25\/2) assuming k is positive.\nAnswer: k**(3497\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 350 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -12*(1 + (-207)\/27). Let z be (1 - s\/15)\/(2\/36). Which is greater: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 16. Let g be l(16). Solve 2*j + 23 - 17 = g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -76, 4, 13.\nAnswer: -76, -1, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1638)\/(-7))\/13*-2*3\/12.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 439753238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12021 + -321311?\nAnswer: -303230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + 73a?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, w: 2, z: 1, m: 4, q: 4}. Give prob of sequence mm.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + -4 + 3 + -2. Let r = -53 - -37. Let g = r - -79\/5. What is the second smallest value in u, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**2 - 2*x + 2*x + (-5 + 3 + x + 0)*(-1 + 1 - 3*x).\nAnswer: x**2 + 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 0 + 4 + 2*y**3 - y**5 + (44*y + 113*y + 48*y)*(3*y**2 - 3*y**4 - 3*y**2).\nAnswer: -616*y**5 + 2*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/5 + 9*x**2 - 3*x\/5 - 297.\nAnswer: 3*(x - 5)*(x + 9)*(x + 11)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -22807?\nAnswer: 5\/22807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*y + d + 277, 3*y + d - 469 = 0. Let p(j) = j - 8. Let r be p(5). Which is bigger: y or r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10597248.2 to the nearest 1000.\nAnswer: -10597000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-9)*6\/4. Let p = -2 + h. Suppose k = 3*r + 12, 4*k + 2*r - 6 = -p. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/10)\/(10\/25). What is the units digit of ((-10)\/8)\/(l\/384)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -344214000 rounded to the nearest one hundred thousand?\nAnswer: -344200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 1. Let s(c) be the third derivative of -c**4\/12 - c**3\/6 - 6*c**2. Let v = -38 - -35. What is v*z(r) + 5*s(r)?\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.719045ug?\nAnswer: 6719.045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/9 >= -0.022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 11*p - 6. Suppose -3*c + 489 = 3*j + p*c, 0 = -3*j + 2*c + 510. Is j a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 15282 (b) 42 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 27*i + 97. Give j(-23).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1883 + -639. Let b = 2133 - h. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 683, 662, 629, 584?\n\"Answer: -6*u**2 - 3*u + 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 - 9*r - 4*r**3 + 9*r.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 10 + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u**2 - 43305 + 5*u + 43303 + 7*u**2)*(0 + 0 + 2*u)*(1 - 1 + 3) in the form p*u + d*u**3 + m*u**2 + v and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2\/2 - 91065*u\/2 - 8372175.\nAnswer: -3*(u + 185)*(u + 30170)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -7*a**2 + 17*a - 4. Let m be p(1). Let j(v) be the first derivative of 0*v + 1\/35*v**5 - 1\/14*v**4 + 0*v**2 + 1\/21*v**3 - m. Factor j(y).\nAnswer: y**2*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, j: 1, w: 2}. What is prob of picking 1 i and 1 j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 51.2? (a) -1 (b) 4878 (c) -3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 + 1.1. Let p be ((-9)\/(-12))\/1*12. Let j be (-2)\/6*p\/4. Which is smaller: k or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - h + 14 = 0, 60*x - 63*x + 2*h + 11 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -628, -2277, -5018, -8845, -13752, -19733, -26782?\n\"Answer: c**3 - 552*c**2 - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 3:56 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -1.034?\nAnswer: 5.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -652?\nAnswer: -1\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1290033 divided by -9.\nAnswer: -143337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100100 - -11?\nAnswer: 100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {d: 7, s: 7, b: 4}?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-9) + (-64)\/(-36). Suppose 3*x - 2 = 25. Suppose -4*m = -2*z - 2, 2*m - 22 - x = -5*z. Which is the nearest to 2\/7? (a) z (b) p (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, n: 1, r: 3, o: 2, x: 1}. Give prob of sequence orr.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 559930758?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -20532 (base 14) to base 3\nAnswer: -10221210120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 2 - (-5 - -5) - -5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/10)\/((-4)\/10). What is the third derivative of 0*a**6 + a**2 + a**2 - a**w + 4*a**6 wrt a?\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69371858*-0.6.\nAnswer: -41623114.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*2*(-5 + sqrt(27))*6.\nAnswer: -300 + 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -169*l - 1504234 + 1504234 + 4*l**2. Let w(o) = 2*o**2. Calculate b(w(g)).\nAnswer: 16*g**4 - 338*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -3\/8 (c) -1\/3 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, u: 2}. Give prob of picking 2 t and 2 u.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m + 1299. Let w(f) = -f + 2610. What is -5*v(s) + 3*w(s)?\nAnswer: 2*s + 1335","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -y - 2*y. Suppose 2*o - 11 = -b, -3*o + 2*b - 2 = -1. Suppose -o*v + y*v = -9. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 6*x**2 + 657*x + 1836.\nAnswer: -3*(x - 17)*(x + 3)*(x + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.22 + 0.19. Which is the second smallest value? (a) d (b) -0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 86702402?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 5*k**2 - 2*k + 2. Let y = 46 - 57. Let p = y - -16. Let n be (-1)\/(-3)*3 + p\/(-1). Give g(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 720 = 8*v + v. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1 + 0 + 2 + 17*y**2 - y - 9*y**4 - 4*y**3 + y**4. Let j(l) = 4*l**4 + 2*l**3 - 8*l**2. Let p(h) = -5*j(h) - 2*w(h). What is q in p(q) = 0?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, d: 4, r: 6}. What is prob of sequence ddrv?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -5 (c) 0.1 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 20 = -u, 2*r + 3*u = 39. Suppose -n + r = 3*n. Suppose -3*f + 11 = -y, 2 - 5 = f + n*y. What is the closest to 1 in 2\/19, f, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 79.276 + -80. Let p = 0.7240367 + h. Round p to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/16*(-18)\/(-3). Let d(v) be the third derivative of 1\/12*v**5 + 1\/6*v**t + 0 + v**2 + 0*v + 1\/24*v**4. Calculate d(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-15) + -3 + 310\/75. Which is smaller: 3\/221 or r?\nAnswer: 3\/221","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 - 12*g**2 + 19*g - 36. Determine u(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 12*t**2 + 14*t + 15. Let o be (-3 + 1)*(-26)\/(-4). Let g be y(o). Let -1\/2*b**g - 1\/2*b**5 + 1\/2*b**4 + 1\/2*b**3 + 0*b + 0 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 330 and 1140.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/(-10))\/(1\/(-5)). Let k(f) = 499999*f**2 + 4*f - 3. Let d be k(n). Round d to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43044179 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 12:41 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(272)*-1*-1)**2.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 116166270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -26. Let i(a) = -a**3 + 4*a**2 + 4*a. Give i(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = k - 2*n - 558, -n = 5*k - 2802. Suppose 11*b = 6*b + k. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1817523?\nAnswer: 3, 201947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m + 6. Let o(j) = 5*j**2 - j - 1. Let a be o(-1). Let g(z) = 3*z + 4 + 1 - a*z. Determine -4*g(q) + 3*h(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-65)\/260 - (-37)\/20) + (-14)\/15. Factor g*v**2 - 2\/9*v**4 + 0*v**3 + 4\/9*v + 0.\nAnswer: -2*v*(v - 2)*(v + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5 + 14. Suppose -4*d = 5*w - 2*d - 78, 2*w - 29 = -o*d. Let x(h) = h**2 - h. Calculate the remainder when x(-5) is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 + 26. Let h = -5 - f. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x + 1. Let k(g) = 17*g + 41. Let o(l) = -5*f(l) + k(l). What is the hundreds digit of o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -34*q**2 + 4*q. Let j(p) = -24*p**2 - 22. Let o(w) be the first derivative of 13*w**3\/3 + 12*w + 34. Let f(g) = -6*j(g) - 11*o(g). What is i(f(a))?\nAnswer: -34*a**4 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 23\/(759\/110)*15\/(-50)*6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 - 1\/2 - -5. Let f(x) = 13*x + 1. Let o(p) = p. Let m(w) = f(w) - 4*o(w). Let i(q) = -355 + 355 - 4*q. Calculate s*i(r) + 2*m(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 3*q**2 + q - 3. Let b be r(3). Let m be ((-9)\/(-45)*b)\/(-1 + 0). Suppose i - 5*i = -56. Which is smaller: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3479.7 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3857 - 1911 - 3*g**2 - 1946.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 14 + 0 = 0. Let t(f) = -f**3 - 2*f**2 + 4*f + 2. Let r be t(-3). Let c = h - r. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38586180 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1. Suppose n + 3*c + 19 = u, 4*n - 7*c = -2*c + 9. Calculate the remainder when 3 is divided by n*1*1\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -24. Suppose -21*f + 17*f = -k. Suppose -2*w = -3*w + 2, -4*z = 3*w - 6. Solve z*b - f = 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*-2 - sqrt(110))*6)\/(sqrt(90)*-2 + sqrt(90)).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 15 = 17. What are the prime factors of b\/12 - 178\/(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.06 (b) 2\/9 (c) 0.082\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 745183519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -330*g - 8504. Calculate r(-28).\nAnswer: 736","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 424397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 6 = 3*p, -5*p - 10 = 4*o + o. Suppose -3*j = -k - 0 - 53, -5*j + 3*k + 87 = o. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -266*a**3 - 2*a - 339.\nAnswer: -1596*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -2 (c) -0.13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 121 + 53. Let r = -27 - m. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1967)\/(-562))\/(126\/(-2736)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 790221650?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) 0.2 (c) 4\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.146*-0.05202.\nAnswer: 0.00759492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.2, -2\/7, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (4 + -1 + (3 - 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**3 + 395228*r**2 + 19524065490*r - 156217819536 = 0. What is r?\nAnswer: -98811, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n + 20. Let v be o(5). Suppose v = i + 3, 7*h - 4*h - 519 = -5*i. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-16)*37\/(666\/(-36)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78a347 (base 11) in base 16?\nAnswer: 1332e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -16*q + 1109. What is n(68)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-2702)\/(-965))\/((-10)\/(-75))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -357464 and 0.5?\nAnswer: 357464.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -901 at least 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 10 - 3*k)*(-k**2 - 11*k**2 - 35*k**2) to p*k**2 + w + d*k**3 + t*k and give d.\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.76 + 48.24. Let q = t - 64. Let j = q - -14.9. Which is the nearest to 2\/3? (a) -5 (b) 0 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -182 + 806. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + 212\/(-16) + (-1)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*1)\/(-12*(-31)\/(-372)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146*u**2 + 108*u - 188*u - 24*u - 62*u wrt u?\nAnswer: -292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 - 83129.341391?\nAnswer: -82991.341391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 13*n**2 + 2*n**3 + 13*n**2 + (3 + 1 - 5)*(4*n**3 - 5 + 5).\nAnswer: -2*n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 595*z - 21157. What is b(38)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 - 9*h**2 - 21*h**2 + 34*h**2 - 5*h - 3*h.\nAnswer: h**2 - 8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 226659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 e when four letters picked without replacement from {q: 3, u: 5, e: 5}.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b - 1 - 46*b**2 + 57*b**2 + 0. Let s be m(-2). Let v = 86 - s. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifpqcit. What is prob of sequence qct?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -10. Let n = 5 + -13. Let y be (22\/n)\/((-3)\/12). Solve -2*x = l, -d + 2*d - y = 3*x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -24.2301.\nAnswer: -121.1505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2686.\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 5*l + 25. Determine i(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkvkkvkvkkvkvvvdvkv. Give prob of sequence dvv.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1504970 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2497*s**2. Let z(g) = -24456*g**2. Calculate i(z(p)).\nAnswer: 1493445552192*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 x, 1 h, and 1 d when four letters picked without replacement from llllxhhidxlldvli?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*j + j - j)*(-42 + 0 - 161) to t + p*j and give p.\nAnswer: -1827","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 6*n + 1. Let h be (0 + -1 + 11)\/(-7)*-7. Suppose 0 = -3*l + 5*l - h. What is m(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/21)\/(2\/(-7)). What is the second derivative of -4*w**2 + w - 6*w**v + 6*w wrt w?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -28, -44, -64, -88, -116, -148?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 - 10 = 3*y. What is the remainder when y is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 206\/3 + -68. Let z = -167\/141 + 40\/47. Which is the closest to -2? (a) 3 (b) p (c) -2\/5 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001543245 rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 34 + 8. Suppose 202 = 2*p - x. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3535 and 8585.\nAnswer: 60095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 11) in base 10?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.8077 - 1.8077. What is the smallest value in -0.3, -0.042, -33, u?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*r + 212*r + 608 = 452*r for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2688709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 545587 to the power of 1\/2, to the nearest integer?\nAnswer: 739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*s + 145867 + 104171 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 28 = -6*w + 3*h, 3*w - 4*h + 28 = 0. Let s be 9\/(-3) + 4 + w. Let a(o) = o**3 + 5*o**2 + 5*o + 3. Determine a(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 18. Determine i(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 449 + -149. Suppose 0*l = 4*l - n. Is l a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q**2 + 3*q - 3. Let z(i) = i**2 + 2*i - 13*i + 8*i. Let j be z(4). Calculate the remainder when g(j) is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00013988 to six decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 827935 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h**3 + 2*h**2 + 37*h?\nAnswer: -36*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 q when four letters picked without replacement from eqqqemqmmmqeeqm?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 634 divide 260464318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1762, -3521, -5280, -7039, -8798, -10557?\n\"Answer: -1759*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1167.\nAnswer: 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 7*a - 6. Suppose 0 = 2*v + v + 2*u - 11, -33 = -5*v + 4*u. Let d be 6\/4*24\/9. Let k(p) = -6*p + 5. Give d*y(j) + v*k(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + 8 - -21 - -12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 9 + 9. Suppose l*x - 2 = 5*r + 10, -2*x + 3*r = -8. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 415001 and 1839?\nAnswer: 1245003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2*4)\/(6\/138). Suppose 5*c - c = l. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8778, -8773, -8756, -8721, -8662?\nAnswer: -8573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 1:02 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(36) - (sqrt(1764)*1 - sqrt(1764))))\/(sqrt(120)\/(sqrt(10) - (2*sqrt(1000) + sqrt(1000) - sqrt(1000)))).\nAnswer: 57*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42*d**2*o**2 + 2*d**2 - 2*d*o**3 - 1506*o**3 wrt d?\nAnswer: 84*d*o**2 + 4*d - 2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -2. Suppose 3*p = g - 18, 2*g + 5*p = -2*g + 89. Calculate the greatest common factor of u and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299*g**2 - 244*g**2 + 3 - 3 - 244*g**2 + 785*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.2 + -1. Let v = a + -0.25. Let s be (-8099)\/(-13884)*-2*2\/(-7). What is the second biggest value in 1\/4, 4, v, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 18.94. Let j = -2.14 + q. What is j rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (12 - (-5 + 8) - -5) - 30?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 - (2 - 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9475?\nAnswer: 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7866 + 28601. Is 145 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, i: 1, e: 7, j: 1, r: 2}. What is prob of sequence ibrr?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7805 is divided by 2230?\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of -301*v**2\/2 - 13. Let i(s) = -2*s**2. Calculate j(i(n)).\nAnswer: 602*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -21. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/10)*(y\/(y\/(y\/(y**(2\/95)\/y))*y))\/y*(y\/(y\/y**11))**12 assuming y is positive.\nAnswer: y**(25057\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1984160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdfddddddddffdfd. Give prob of picking 3 f.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631657.\nAnswer: 13, 48589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -0.06 (c) 0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 211, -4, 1\/4, 0, 5, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s - 2*s**3)*(-5 - 1 + 4)*(-s + 8*s + 2*s) + (-3*s**2 + s - s)*(-2*s**2 - 2*s**2 + 2*s**2).\nAnswer: 42*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 284 - 186. Let o be (-4 - z\/(-35))\/((-4)\/70). Solve -4*s + 1 - o = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.2. Let k = -9.65 + 0.15. Let w = 10 + k. Which is the nearest to -1? (a) 0 (b) f (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13.6523326 + 13.86797. Let b = -0.2154 + a. What is b rounded to five dps?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 4*r**2 + 6*r - 5. Let h be o(3). Suppose u - 3*p = 42, -145 = -h*u - p + 36. What is the remainder when u is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*j - 4*f + 3, 5*j - 5*f - 50 = 0. Suppose -j + 2 = 5*d. Is 2\/13 less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*q - 5*q - 1865 + 1220 + 645 + q.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*f**2 + 1 + 0 + 7*f**2 + 2*f**2.\nAnswer: -f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38487345 divided by -4.\nAnswer: 38487345\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -42*f**3*x**2*z - 5*f**3*x**2 - f**3 - x**2*z + 16*x**2 wrt z.\nAnswer: -42*f**3*x**2 - x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 11:25 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/(-6))\/(1\/(-8)). Suppose s - 10 = -m*s. Find the second derivative of -2*h**4 - 3*h**4 + h + s*h wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41720*n**2 + 41807*n**2 - 83658*n**2.\nAnswer: -131*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -27727 - 4\nAnswer: -27731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27315 = -774*k - 42345 for k.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 7*r**3 - r**2 - 2*r + 2. Let f be p(2). Calculate the greatest common factor of 20 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 917503371?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 12, -12*k + 11 = -c - 10*k. Let d be (-1 + c - -2)\/(6\/(-12)). Solve 10*u = d*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10}. What is prob of sequence eee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 53220 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 - 2)*(3*d - d - 3*d + 2*d - d + 2*d + (d - 2 + 2)*(-1 - 3 + 3) + 2*d + 1 - 1 + d - 3*d + d + (0 + 0 - d)*(-3 + 4 - 3) + 29*d - 1006 + 1006).\nAnswer: -264*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 36*v - 3*v**3 + v**3 - 43*v**2 - 2*v**3 + 0.\nAnswer: -4*v**3 - 43*v**2 - 36*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 - (-187)\/44. Suppose -y*g = z - 770, -3*z + 2*g = -3*g - 2293. Suppose -4*d = 2*n - 378, 3*n - 2*d - z = -n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 12:40 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4 + 2*g**2 + 8*g + 4 + (-18696 + 18696 + 104*g)*(0*g + 0*g - 2*g) as p + m*g + d*g**2 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 24 = -f. Let m be 1 - f*105147\/2. Let g = -207442 + m. What is g rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 1542 in decreasing order.\nAnswer: 1542, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 + -6 + 3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67454.\nAnswer: 2, 29, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + 3*f**2 + 3*f + 2. Let w be z(-3). Let y = -10 - w. Let p(c) = 2*c - 2. Determine p(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + 0*n**2 + 2*n**2 + (0*n - 3*n + 2*n)*(4*n + 0*n - 2*n) + 9*n**2 - n**2 - 2*n**2 - 1 + 1 + n**2 - 293 + 293 - 71*n**2.\nAnswer: -65*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a century in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-8)\/(-24825))\/(2\/(-3))*55\/2 and 20\/3?\nAnswer: 4965","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-12) - -1)*((-1109182)\/2121)\/323.\nAnswer: -17\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/9, 5.969, -51, -33 in descending order.\nAnswer: 5.969, -2\/9, -3, -33, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2086775 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 655 + 2?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 28 = -2*y + j, 36 = -4*y - 5*j. Let q be (2 + y)*9\/6. Let l be (q\/(-9)*0)\/(-2). Solve 10 = 4*n - 2*w, 2*n + n - 2*w - 7 = l for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50 - -10?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 1\/38, -9, 191?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 182.\nAnswer: 18.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 2*s - 3*j + 366, 3*s + j - 1122 = 0. Let b = -8337 - -8367. What is the highest common factor of b and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**3\/k*k)\/k*k**(-2)\/k)\/(k**0)**(-26))**(-2\/9))**35 assuming k is positive.\nAnswer: k**(70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15986 or -18374?\nAnswer: -18374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/19 or -952?\nAnswer: -952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, 139, 408, 779, 1246, 1803, 2444?\n\"Answer: -t**3 + 60*t**2 - 12*t - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -32*w**3 + 12*w**2 - 12*w - 12. Suppose -4*a - 33 = 5*b, 5*b + a = 8*b + 13. Let c(n) = -13*n**3 + 5*n**2 - 5*n - 5. Give b*l(f) + 12*c(f).\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -52 + 44. List the prime factors of (108\/d + 6)\/(6\/(-80)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -43*g**3 + 270*g**2 - 45*g**4 + 20*g**4 + 5*g**5 + 135*g - 810 + 5*g**4 - 17*g**3 = 0.\nAnswer: -3, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006743238 rounded to 5 dps?\nAnswer: 0.00674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m**2 - 1203*m + 8433. Determine p(7).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggmgggggg. What is prob of picking 1 m and 1 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 533?\nAnswer: -543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - 198. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/30)\/((-18)\/27)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 105339\nAnswer: -10533.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1656087 is divided by 828038?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.04 - 6.34. Let y = -9.3 - v. Let k = -3.99995 - y. Round k to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/(-33) + (-60)\/36 + 0.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000001011000111101 (base 2) to base 14.\nAnswer: 1d62cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from appaaaa. What is prob of picking 1 a and 1 p?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-nine fifths of a day?\nAnswer: 14112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 5*h + 3. Let l be k(5). Let x = l - -142. What is the greatest common factor of x and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2. Suppose 8*d + 7 - 71 = 0. Let c(j) = -4*j**2 + 5 + d - 13. What is o(c(x))?\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from kmskamm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 less than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6995, -7017, -7041, -7067, -7095, -7125, -7157?\nAnswer: -7191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 2*a = 22 - 43 + 18, a = -38*r + 40*r - 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3311289 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 60\/35*(23 - 2). Calculate the highest common factor of 27 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(2 - 5\/3). Let t be 1*-3*1 - (-15 - -7). Sort -1, t, y in increasing order.\nAnswer: y, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 205702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21500 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 137, 246, 381, 542, 729, 942?\nAnswer: 1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 294*v**2 + 1527*v + 1854.\nAnswer: -3*(v - 103)*(v + 2)*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 8, -1, 17634.9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.06141115 to 2 dps.\nAnswer: -7.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121201103213 (base 4) to base 7.\nAnswer: 110602304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35 + 35 - 21*b + 3*b - b - 4*b + (2 - 4 + 4)*(-2*b - 2*b + 3*b) + 4*b - b - 4*b + 0 + 0 + 2*b + 35*b + 91 - 91.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 + 17 = -3*w - v, -8 = -2*v. Let o be 0\/1 - (3 - w). Solve 2 = 2*r + o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 354 + -84. Is 30 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = o - 4. Which is greater: -2\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 50*t**2 - 147*t - 2. Is 88 a factor of k(-46)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1465, 1685, 2043, 2533, 3149?\n\"Answer: -o**3 + 75*o**2 + 2*o + 1389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 3*y + y)*(2*y**2 - 7*y**2 - 3*y**2)*((4 - 3 - 3)*(4*y**2 - 3*y**2 + y**2) + y**2 - 3*y**2 + 4*y**2 + 0*y + 0*y - y**2).\nAnswer: -48*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*t = -1053 + 2379 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 - 1 = 0. Let x be (1 - 21)*q\/5. Calculate the least common multiple of ((-15)\/(-4))\/((-3)\/x) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 6815*m**4 - 552005*m**3 - 7625*m**2 + 552005*m + 810 = 0.\nAnswer: -1, -2\/1363, 1, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 72419, 144873, 217333, 289799, 362271, 434749?\n\"Answer: 3*h**2 + 72445*h - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 12272137*g**2 + 12272145*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(704)*2 - (-3 + -1 + sqrt(704)) - ((sqrt(1100)*-1 + sqrt(1100))*5 + 1).\nAnswer: 3 + 88*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 12:02 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108541\/689 + 3934\/53. Which is greater: -82 or b?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 108 = 120. Let h(b) = -22 + 41 - b - m. What is h(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 1 = 3*j, m - 3*m = j - 13. Solve 8 + 0 = -3*d + q, -m*d = 4*q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -139 + 140.09. Let i = u - 0.09. Which is the third smallest value? (a) -0.2 (b) -10 (c) i (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 128698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (14 - (3 + -1))*(-102)\/(-9). What is the greatest common factor of 16 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*-2*(-10)\/(-8). Suppose -s = c, -3*l - 4*c + 0 = -7. Suppose 4*u + 17 - 43 = -j, -3*j + 44 = -5*u. Calculate the greatest common divisor of j and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -115 + 112. What are the prime factors of 190 + (-2 - o)*2 + -1?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.7 + -2. Which is the closest to 2\/3? (a) -5 (b) x (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62239?\nAnswer: 109, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468787 is divided by 6654.\nAnswer: 3007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a - 5*a + a + (-a + 2 - 2)*(-3 - 3 + 4) + (-1 + 4 - 1)*(0 + a + 0) + 7*a + a - 3*a + 3 - 2*a - 3.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = q + 7 - 0, -32 = 4*q + 5*f. Let j = -296 + 295. Let b be (j - 1) + -2 - (-2 + -1). Sort q, 0, b, 10 in descending order.\nAnswer: 10, 0, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84291*c - 84402*c - 1 + 2*c**2 + 1.\nAnswer: 2*c**2 - 111*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 890619 is divided by 890549.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7026, -14186, -21346, -28506, -35666, -42826?\nAnswer: -49986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 + 0*n**3 - 3*n**3)*(-1405 + 642 + 3878 + 5008).\nAnswer: -8123*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6901 - 3.5901. Sort -0.1, 1\/5, w in ascending order.\nAnswer: w, -0.1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + sqrt(125))*-2 - ((sqrt(60) + sqrt(240)\/sqrt(4))*4)\/(-1*sqrt(24)\/sqrt(2)).\nAnswer: -2*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -17. Let p(z) = z**2 - 5*z + 4. Let t(b) = -3*b**2 + 57*b + 4. Calculate the remainder when t(19) is divided by p(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20619 and 13290091?\nAnswer: 2291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -466920 to the nearest 1000.\nAnswer: -467000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -20, 0, 4, 3 in descending order.\nAnswer: 25, 4, 3, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -68 and 96.3.\nAnswer: -6548.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 15, -17\/5, 48, -2?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 202 + -117. Suppose -3*u + 106 = k, 2*u - g = -3*k - 5. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 13 = 2. Solve -v = -3*u + 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010100211 (base 3) in base 7?\nAnswer: 1345420","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 4 = -2*c + 2*a, -4*a = -c - 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -5*t + 9\/40*t**5 + 0 - t**2 + 1\/8*t**4 - 2\/3*t**3. Factor f(w).\nAnswer: (w - 1)*(3*w + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 18?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3 + (sqrt(2) - sqrt(20)\/(sqrt(90) + sqrt(10)))) - (sqrt(2) + 4 + -2*sqrt(2) - (sqrt(18)*-6 + sqrt(2))**2)*5) + 1.\nAnswer: 11*sqrt(2)\/4 + 2862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258908736?\nAnswer: 2, 3, 1348483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4772761, -4772762, -4772773, -4772800, -4772849?\nAnswer: -4772926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2589101 minus 642?\nAnswer: 2588459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w - 3. Let h be r(5). Let v = 43 + h. Suppose 4*o - v = 0, 5*o + 23 = -4*a + 56. Solve s - a = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 34 = 6*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-65)\/(-4) - (1 - 27\/36). Let h be 1\/((-9)\/6 + 2). Factor -a + 9*k - 14*k**h + 5*k**2 - k**3 - 33*k.\nAnswer: -(k + 1)*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17667 and 11?\nAnswer: 194337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 8:09 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962158 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001011110100001010101 + -111?\nAnswer: 1001011110100001001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 88. Let c be k\/2*(5 + 93\/(-15)). Calculate the highest common divisor of c and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5 = 0, 3*u = 4*w - 0*w + 26. Suppose 0 = 3*i - u*i - 17. What is the remainder when i is divided by -2*5\/(-2) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16200248.\nAnswer: 2, 41, 49391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 6:43 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 + -1498897122\nAnswer: -1498897121.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-87)\/232)\/(3\/(-2)))\/(3 + 240\/(-78))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1554 + 1548. Which is the nearest to v? (a) -0.4 (b) 2 (c) -27 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 271.08 - 271. What is the second smallest value in -1, -21, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16596, -16625, -16682, -16773, -16904, -17081, -17310, -17597?\nAnswer: -17948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*i = 3*r + 33*i - 16, 5*r + i = 26 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13614 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5 - 1. Factor -26*y**2 + 2*y - 2*y**p + 4*y**3 + 9*y**2 + 13*y**2.\nAnswer: 2*y*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4 - 0) + 2)*2 - 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20391861 - 0.5?\nAnswer: -20391861.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -136 - -137. Let l(v) = -27*v**2 + 4*v - 2. Let f be l(y). Is f at least as big as -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1937*d**2 - 2169*d**2 + 4105*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2350 = -13*i - 127. Let t = 171 - i. Solve t = -2*y + 4*y - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**5 + 12*w**4 - 4*w**3 - 44*w**2 - 48*w - 16 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5032158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 13047298147 - 994\nAnswer: 13047297153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnbnbbnnnnll. What is prob of sequence nlnl?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**2*h*h**(1\/5) assuming h is positive.\nAnswer: h**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*b - b + 6*b)*(-8 + 0 + 0) to the form y*b + p and give y.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((15\/(-115))\/(39\/26))\/(-3 + 5)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26492435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 831577?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 738172.\nAnswer: -7\/738172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.103 - 0.049. What is g rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + -3)*(-1)\/(-4). Let h = -78 + 74. Let q be 38\/(-20) + -1*h\/10. What is the second smallest value in q, 0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.442 times -1.19\nAnswer: 0.52598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*o + 2*s - 13, -2*o - 2*s + 10 = 0. Let h(n) = -o*n**2 + 4*n**2 + 4*n - 13 - 3*n**2 + n**3. Is h(7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.2 (b) -3 (c) 8 (d) 6438\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p**3 + 3*p**2 - 15*p + 35. Let b(s) = -3*s**3 - 2*s**2 + 7*s - 16. What is -13*b(t) - 6*m(t)?\nAnswer: -3*t**3 + 8*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/(-20) - 2\/5. Let d(t) = 2*t + 2. Let v be d(0). Is v != g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-26)\/(-6) - 4) + 0. Let v = 115 + -113. Factor -1\/3*b**3 + 0*b + l*b**5 - 1\/3*b**v + 1\/3*b**4 + 0.\nAnswer: b**2*(b - 1)*(b + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m**2 + 20*m - 4. Let w(t) = 6*t**2 - 19*t + 4. Let j(f) = -4*g(f) - 5*w(f). Let o be j(7). Put -4, -5, o in descending order.\nAnswer: o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 0.03702017?\nAnswer: -0.33318153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.8277 - 0.1062. Round h to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243075 is divided by 65?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*m + 14*m - 134528 = -46616. Solve -j - m = -785 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 6.3, 788, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g - 8. Let d be y(11). Solve d*j + 3 = -3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -c**4\/4 + 2*c**3 + 9*c**2 - 17*c - 4136. Suppose 0*r = -2*r + 16. Let d be l(r). Which is greater: 2\/69 or d?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(12\/(-3)))\/1. Solve 3*w = 3*l + 24, l - 7 = -4*w - r*w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 116 (b) -2\/5 (c) 528 (d) 4 (e) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 + 75*b**2 - 264*b + 252.\nAnswer: -3*(b - 21)*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (0 - 7) + 6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 209\/3 in -4.02, -2, -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105940 and 12?\nAnswer: 317820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -8\/7, -3, -0.2, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/335, -3.7, -7, 1\/4?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 30 + 24?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 2:08 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11268, 10577, 9882, 9177, 8456, 7713?\nAnswer: 6942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -664 and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*c - 75 + 129. Let h be c\/30 + 132501\/5. Round h to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-9)*3*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r - 8. Let w be u(8). What is the fourth smallest value in -5, w, -4\/11, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 20. Is i + 429\/3 + 0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 2:14 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -3*f + 595. Let c = 348 - f. What is the highest common divisor of c and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -17. Let l be (t - (-8)\/3)*-36. Calculate the common denominator of 77\/8 and (-174)\/l*(-5)\/(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a millennium in months?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, 29, 73, 125, 173, 205, 209?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 3*o - o)*(o**2 - 1 + 1)*(2 - 3 + 3 + (-2 + 1 - 2)*(-1 + 1 - 2) + (3 - 3 + 2)*(3 - 4 + 2)) to l + t*o**2 + b*o + s*o**3 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -41*v**3 - 2*v**2 - 7592*v - 8071. What is the derivative of c(h) wrt h?\nAnswer: -246*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -424 + 43 + 20*g**4 - 354*g**4 wrt g?\nAnswer: -1336*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -169 - -271. What is the remainder when c is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.438606 days to hours.\nAnswer: 226.526544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 33*r**3 - 3*r**2 + 2. Let w(x) = -x**3 + x**2 - 2*x - 49. Let n be w(0). Let z = -32 - n. What is the remainder when f(1) is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09472 * 1.4\nAnswer: 0.132608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide ((-68)\/(-8))\/((-1)\/4 + (-497)\/(-1980))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**2 - 153740*l + 22025718 = 0?\nAnswer: -77013, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-40))**(-36\/5)\/(m**37\/m*m*m\/(m*m**(-38)\/m)) assuming m is positive.\nAnswer: m**212","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 84 - 123 + 3*i.\nAnswer: 3*i - 163","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -37*z**2 - 14127*z + 2772. What is l(-382)?\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2182.835 rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**5\/40 + 3*r**4\/8 - r**3\/6 + r**2. Let v(f) be the first derivative of h(f). Let y = -1240 - -1246. Calculate v(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86291, -176352, -266413?\nAnswer: -356474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36 + 3\/2*b**3 - 30*b - 3*b**2.\nAnswer: 3*(b - 6)*(b + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376388220?\nAnswer: 2, 3, 5, 13, 47, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 9016.\nAnswer: 1\/2254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*b + 435 = -134*b. Let r(c) = -c**2 + 6*c - 3. Suppose 0 = -2*n + 4. Let w be r(n). What is the highest common factor of w and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1230785 (base 9) to base 11\nAnswer: -41830a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 268 in -11, 4, 0.1, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/12)*z)\/(z\/(z**12*z)))**41 assuming z is positive.\nAnswer: z**(6437\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3) - 48\/(-72). Let h(t) be the first derivative of i*t - 2\/3*t**3 + 2*t**2 + 2. Factor h(n).\nAnswer: -2*n*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-468)\/165) - 393\/262.\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52150 and 52150?\nAnswer: 52150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61 or -59?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 + 0.22. Let n = 1\/121526 + -60765\/243052. Sort n, w, 59 in descending order.\nAnswer: 59, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20137865 <= 20137868?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by (25 - 28)*(1 - 18).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s + 25 = 1500*j - 1504*j, 4*s - 5*j = 130 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**3 - n**4 + 5*n**3 + (-2*n**3 + 4*n**3 + 0*n**3)*(6*n - n - 3*n) + 7*n**3 - 7*n**3 + n**4.\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.11 - 46.89. Let h = l + 49.85. Round h to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.186 times 12?\nAnswer: 134.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-828) - 154\/539*(-14)\/(-46)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 156750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d. Let h be p(2). Let i be (-4)\/h - (-4)\/(-6). Suppose i = -5*c - 68 + 243. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 7\/2882508 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 759960 and 61176780?\nAnswer: 122353560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -30. Let z(q) = 2*q - 31. Determine 3*l(c) - 2*z(c).\nAnswer: -4*c - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 - 54 = -49*z + 6. Solve -47*j + 50 = z*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2. Let z = -3 + 6. Let w = 7 - z. Let b(q) = -w*q - 5*q - 5*q + 6*q. What is b(j(f))?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -190\/117 + 16\/9. Let j = 54976 + -54883. What is the closest to 2\/5 in 1, u, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -118655\/23 - -5161. Let c = 3028\/1495 - k. Let v = c + 304\/715. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 4*z**4\/3 + 347164*z**3\/3 + 7529725984*z**2\/3 - 42700044992*z + 40190020608 = 0.\nAnswer: -43404, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, -3, -7?\n\"Answer: -4*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1778 + -1734. Let g(o) = -4*o + 38. Calculate the least common multiple of d and g(7).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 32 + -35 + (-2 - (-10 + -3))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -171*i - 130 + 254*i - 78 - 81*i as m + x*i and give m.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -42*h**3 - 166*h**2 + 17*h - 19. Give i(-4).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5255 - 5257. Sort b, 2, 0, 52 in ascending order.\nAnswer: b, 0, 2, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3649385173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3563 + -26.3137. Let o = f - -27. Round o to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126070 is divided by 8372.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 137324687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6781 + -6776. Let d(z) = z**3 + 11*z**2 - 3*z - 5. Let n(m) = -m**3 - 17*m**2 + 4*m + 7. What is v*n(r) + 7*d(r)?\nAnswer: 2*r**3 - 8*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 m when four letters picked without replacement from {m: 5, k: 6, h: 2, r: 1, n: 1}?\nAnswer: 20\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 129 (base 12) to base 4.\nAnswer: 2301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*h = 18, 3*h = 2*o - 6*o + 14. Which is the biggest value? (a) o (b) -1\/2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7cb3 (base 14) to base 9\nAnswer: -32710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -14*s**2 - 7*s - 21. Let m(z) = 7*z**2 + 3*z + 10. Calculate -7*m(t) - 3*y(t).\nAnswer: -7*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 0.08581\nAnswer: -0.34324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2472 is divided by 140?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -4*l**5\/15 + 3*l**2 + 9. Let a(t) = -8*t. What is a(p(w))?\nAnswer: 128*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 1:09 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2\/7 (c) -3.362 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d - 21*d + 360 = 24*d. Let x(l) = -3*l**3 - 4*l**2 + 7*l + 4. Calculate the smallest common multiple of x(-5) and d.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -4. Let a(x) = x - 5. Let g be a(-5). Let t be g\/12*(-1)\/(-5). What is the second biggest value in j, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 172 in 3, 4.2, 1\/5?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 5:48 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -118537, 25\/2?\nAnswer: -118537","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sjhjhjx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 4:51 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8242 >= 74167\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 + 89. What is the third derivative of 41*c**l - 4*c**2 - 21*c**4 - 7*c**2 - 2*c**3 wrt c?\nAnswer: 480*c - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*i + f = 488*i - 2*f + 12, 3*f = -i + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l + 157 - 305 + l**3 - 2*l**2 + 152. Suppose 0 = -2*p + p + 3. Determine k(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 9*q - 1. Let j(a) = -2*a**2 - 8*a. Let p(m) = 2*d(m) + 3*j(m). Factor p(o).\nAnswer: -2*(o + 1)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**3 + 5 + 8*g**3 + g**3 - 62429*g + 62408*g - g**3 - 2*g**2 as o*g + h*g**2 + u*g**3 + r and give o.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/2, -8, 0.4, 0.33 in descending order.\nAnswer: 1\/2, 0.4, 0.33, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44.416 + -0.184. Let k = -45 - t. Which is the third smallest value? (a) k (b) 2\/51 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddvbbdvdvvd. What is prob of picking 1 v, 2 b, and 1 d?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6) - (-65)\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 33\/6 + 9\/(-6). List the prime factors of 5*(-3 + 7)\/f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/8)\/(-6)*5\/(-75)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + (-165)\/(-35) + 39990\/21. Suppose 1428 = 5*z - 2*z - 4*d, -4*z + f = -5*d. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5157, -4837, -4505, -4155, -3781, -3377?\n\"Answer: d**3 + 313*d - 5471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 - 182*w**2 - 26673*w + 1453. What is k(-96)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1160\/7 + -166. Let u(f) = -f**3 - f**2 + 1. Let h be u(-2). Which is the second biggest value? (a) v (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvr when three letters picked without replacement from pvbnr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/11)*b*b)**(-50) assuming b is positive.\nAnswer: b**(-1250\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3733*z**2 - 2*z - 8617.\nAnswer: -7466*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -644\/2971 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**5\/90 + b**3\/9 + 4*b**2. Determine t so that d(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29982449 is divided by 871.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2870)\/28)\/(-41))\/((-2)\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/15795?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265625424?\nAnswer: 2, 3, 523, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**3 + 14*o**2 - 1. Let g be a(7). Let h(x) = 2*x**2 + x. Let u be h(g). Suppose b = -u, -2*c + 6*c + b - 2523 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(11) + (sqrt(77)\/sqrt(7) + 2 - sqrt(11)) + 1)**2 - (-5 + sqrt(539) + sqrt(539)*-3 + -2 + sqrt(539))**2.\nAnswer: -513 - 82*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1782 and 0.1.\nAnswer: 1782.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173*q + 79*q - 699 - 467 = -83*q for q.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 465096587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*p + 323 + 47 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7618, 15685, 23724, 31735, 39718?\nAnswer: 47673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5280 + 413 = -252*q + 4961 for q.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -232, -222, -202, -166, -108, -22, 98?\n\"Answer: j**3 - j**2 + 6*j - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-93)\/62)\/(-3)*((-1536)\/(-4))\/4.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 4:24 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (3 + 9 + -3). Let n be (-25)\/3 - k\/21. Let b = -140395\/6 + 23392. Which is smaller: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -540*j**2 - 5370*j - 13343. Give h(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -9*a**4 + 9623*a**3 - 78530*a**2 + 16976*a = 0.\nAnswer: 0, 2\/9, 8, 1061","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2316 divide 8156899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 45\/1*6\/(-6). Let q(o) = -o**3 - 8*o**2 - 3*o - 5. What is the remainder when 5\/(150\/(-4)) - 3291\/i is divided by q(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 5*p + p)*(-8 + 40 + 24) + p + 0*p - 2*p - 2*p + 5*p - p.\nAnswer: -111*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/9 + (-129)\/27. Let h = -2 - k. Is 2 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 23. Suppose 2*u + 3*u + r*l = 27, -4*l = 3*u - 21. Sort u, -3, 6 in descending order.\nAnswer: 6, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -125 - -129 - (6 + -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -0.1, 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 18. Let u = -4907\/18 - -280. Find the common denominator of u and l\/((-6)\/11) - 1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1060*v + 1042*v + 198 = 0 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (28 - 21 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 194 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*b - 8*x + 3*x + 3, -3*x = 3 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (-2 - -8) - -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c = 5. Let i(f) = f - 7. Let w(b) = 2*b + 14. Let q(s) = 3*s + 14. Let n(m) = 4*q(m) - 5*w(m). Let o(y) = -7*i(y) + 3*n(y). Calculate o(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 77864*b - 77865*b + 2 - 2. Let r(k) = -7*k**2 + 49*k - 49. Let v(y) = -y**2 + 6*y - 6. Let d(o) = 6*r(o) - 49*v(o). Determine q(d(w)).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15184692491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 + 0)*(-70*g + 161 - 161).\nAnswer: -490*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3\/32)\/t)**(-43) assuming t is positive.\nAnswer: t**(129\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114780536?\nAnswer: 2, 13, 151, 7309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Suppose -d + v + 1 = -2*d, 4*d - 4*v - 28 = f. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/7, -5, -98\/25, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 4*k - 2*k - k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*n + 10234 = -12952, 0 = z - 2*n - 11586. What are the prime factors of z?\nAnswer: 2, 5, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4 - 30*a**3 + 96*a**2 + 1152*a = 0 for a.\nAnswer: -8, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 47856807109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -194*-5*(-1)\/(-10). What is the highest common factor of x and 1552?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2306*y**2 - 8705*y - 35. Let x(q) = 1152*q**2 - 4352*q - 21. Let b(s) = -3*u(s) + 5*x(s). Find the second derivative of b(c) wrt c.\nAnswer: -2316","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3466 is divided by 170.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 86*c - 26. Let b(d) = 217*d - 53. Let l(r) = -2*b(r) + 5*n(r). Determine l(-18).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110011111011 (base 2) to base 14\nAnswer: 12d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 560*j**3 - 240*j**2 + 240*j + 240. Let n(k) = -k**2 + k + 1. What is -240*n(h) + t(h)?\nAnswer: 560*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20472 (base 10) to base 4.\nAnswer: 10333320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6149)\/(-86)*(-2)\/11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -493\/12 + 12061\/300. Suppose -2*s = -5*p - 0 + 31, -s - 5 = -p. Calculate the common denominator of 63\/(-72)*(p - 2) and g.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -27, -33, -39, -45, -51, -57?\n\"Answer: -6*m - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.09, -1, -0.04, 104?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j**2 - 88*j + 1000. Is 3 a factor of x(31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23058 + 758.\nAnswer: 23816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 174926542*d**4 + 305*d + 930351 wrt d?\nAnswer: 2099118504*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4549692 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -1, 566, 7 in increasing order.\nAnswer: -1, 1, 2, 7, 566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13660 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4))**(-1\/4)*t**(-2\/7)\/t**(2\/7))\/((t*t**5*(t**(-1\/4)*t)\/t)\/(t**(2\/5)\/t)**(9\/2)) assuming t is positive.\nAnswer: t**(-5087\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**5\/9 + 92*f**4\/9 + 76*f**3\/3 - 620*f**2\/9 - 1952*f\/9 - 400\/3 = 0.\nAnswer: -2, -1, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513826610.\nAnswer: 2, 5, 11, 4671151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103.1 + 105.1. Let b = -15.4 + 14. Let h = -0.4 - b. What is the closest to -12 in -4, i, h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 10*h + 6. Let s be q(7). Let r = -10 - s. Suppose 2*p - r = -3*p. Solve -11 = -3*c + p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by -4.\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -64200000 rounded to the nearest one million?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 8*u - 1. What is the hundreds digit of h(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -330 - 246. Let w(x) = -4*x**3 + 5*x**2 + 2*x - 6. Let z be w(4). Calculate the common denominator of (8\/t)\/((-10)\/z) and 31\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4686 a factor of 5083386858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25833902?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1307191 to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/4 + 171\/54.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 8, 5, -1, 21 in descending order.\nAnswer: 21, 8, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2*a - 3*r - 24, -2*a + 2 = -4*r. Let g = -5 - a. Are g and -1\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gm when two letters picked without replacement from {j: 12, m: 4, g: 3, o: 1}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 - 7*p + 1. Let o(f) = f**2 + 10*f - 2. Let m be o(-10). Let r(k) = 7*k**2 + 15*k - 3. Let h(w) = m*r(w) - 5*u(w). Give h(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z**7*z*z))\/z)\/z)**(2\/9)*((z**(2\/5)\/z)\/z)\/z*z\/z**(-2\/11) assuming z is positive.\nAnswer: z**(-1802\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -9*w + 6. Let k be l(3). Let p = -15 - k. Suppose -m = -p*m + 200. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 440 - 440.3. Let i(t) = t**3 - 9*t**2 + 9*t - 12. Let a be i(8). Put a, f, -3 in increasing order.\nAnswer: a, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2640 divided by 8\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8031 rounded to 2 decimal places?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 949.\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 57*d - 5\/6*d**3 + 0*d**2 + 0. Let p(z) = -16*z**2. Determine b(p(u)).\nAnswer: 80*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*2040\/2550*110\/24?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 4*t**2 - 2*t + 2. Determine u(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**4\/12 + r**3\/3 - 24*r**2. Let b be c(2). Let m be (b\/(-5))\/(3\/285). Round m to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**4 - 1 + 0 + g - 98*g**3 - 3*g**2 + 98*g**3 as q + d*g + k*g**2 + s*g**4 + a*g**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*n + 14. Suppose 4*u - 408 + 120 = 4*s, n*s = 10. What is the greatest common divisor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hpvhhvhhvvp. Give prob of picking 2 h.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/263? (a) -3\/7 (b) -66\/137 (c) 0.4 (d) -1\/4 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-98)\/343)\/((-2)\/14). Let k be 3432\/96 - t\/(-8). Solve 8*r = -k - 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 s, and 2 v when four letters picked without replacement from cxsvvcccc.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -17*s + 7*s**2 + 12 + 1285*s**3 - 1284*s**3 - 3 = 0?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -9. Find the second derivative of 2 - m**2 - y + 17*m + 8*m**2 wrt m.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 14. Suppose -y*p - 2580 = -4*p. Round p to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n - 1. Suppose 2*s + 2*q = 7*s - 25, -5*q = -5*s + 25. Calculate the least common multiple of 8 and a(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 2847 - 2848 + 0*j. What is d(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -18 - (3 - (12 - 8))) + -81 + 2.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/23 not equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8052 = 39*x - 405*x for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(784)*-2)\/(sqrt(200) + sqrt(200) + (2*sqrt(200) - sqrt(200))))**2 - (-5*(sqrt(10) - sqrt(50)\/sqrt(5)) - sqrt(10))\/(sqrt(55)\/(-2*sqrt(11))).\nAnswer: -2*sqrt(2) + 392\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -10*j**2 + 6*j**2 - 7*j**2 + 2*j**2. Let t(m) = -7*m. Calculate t(k(g)).\nAnswer: 63*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -5 + (4 + -14 + -4 - 37)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51756 divided by -4313.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 2651?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -4*g. Let l(f) = 24*f - 2. Determine l(m(z)).\nAnswer: -96*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**4 + 3*l**3 - 108*l**2 - 108*l = 0. Calculate l.\nAnswer: -6, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-792)\/660*(10\/(-12))\/(2\/(-128)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 c, and 1 m when four letters picked without replacement from dcdmdpfddde.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -792 divided by 198?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5 + 4)*(-426*b + 3 - 2 - 1 + 9*b).\nAnswer: 2085*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-144)\/40)\/3)\/((-2)\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 74 - 282. Let n be (-4 + 3)\/((-1)\/15). Let w = u - n. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 593.7 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*g + 18660 = 77*g + 156*g + 12390 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/5 (b) 1\/4 (c) 3\/2 (d) 61 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120323424 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**4\/5 - 5*l**3 + 216*l**2\/5 - 704*l\/5 + 512\/5 = 0. What is l?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5*d + 27, -2*y = y - 5*d + 24. Let m = -13 - -6. Let f = y - m. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**2 + 5*l - 8. Let s(w) = w**2 + w + 1. What is p(y) + 6*s(y)?\nAnswer: 2*y**2 + 11*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.305 - -2373.23?\nAnswer: 2377.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0 = -12, -4*y - 34 = 2*w. Let q = y - -3. Let b(u) = u. Let d be b(q). Are -5 and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2885.5 + -2905. Round w to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 106\/3 - 35. Sort c, -3\/7, -1 in decreasing order.\nAnswer: c, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -197 - -204. Suppose 22 = 4*p + b*p. Which is smaller: p or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359778071333*k + 51*k**2 + 359778071333*k.\nAnswer: 51*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 124786 - -13.\nAnswer: 124799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f + 11. Let h be 2\/((-4)\/40*-5). Let g(k) be the third derivative of -k**4\/24 - 2*k**3\/3 - k**2. Calculate h*t(i) + 11*g(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - 2*i**3 + 0*i**2)*(2 + 0 + 0) + 7*i + 12*i**3 - 9*i**3 - 3*i.\nAnswer: -i**3 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 + -17. Let t = m - 19. Let n = 2.8 - t. Put n, -0.5, -2\/9 in decreasing order.\nAnswer: n, -2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/32 and 18\/11925167.\nAnswer: 381605344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 330149, 328996, 327845, 326696, 325549, 324404, 323261?\n\"Answer: l**2 - 1156*l + 331304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -546 + 545. Let y be z - (-4 + 2) - 2. Let u(h) = -h + 6. Let g(o) = o - 1. Calculate y*u(n) - 5*g(n).\nAnswer: -4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-9) + 0 + 28\/(10 + -25 + 12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.71 + 0.29. Which is the closest to 1\/3? (a) r (b) 0.3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1985398?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g**2 - 128*g + 11527. Give l(50).\nAnswer: -4873","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/4701? (a) -4 (b) 0.4 (c) 4949\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -48.98 + 45. Let z = 14.02 + -14. Let a = n - z. Put 2, a, -2\/5 in ascending order.\nAnswer: a, -2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11446 and 49858.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5}. Give prob of picking 4 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/18*((-117)\/(-1560))\/((-16)\/(-40)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 169684.\nAnswer: -1\/84842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 6:05 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274265 is divided by 86.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -28*t**3 + 16*t**2 + 32*t. Let h(n) = 9*n**3 - 5*n**2 - 10*n. Determine -16*h(q) - 5*z(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -164 + 242. Suppose 0 = 18*o - 15*o - s. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1131*t**3 - 116*t**2 - 116*t - 116. Let l(h) = -29*h**3 + 3*h**2 + 3*h + 3. Calculate -116*l(g) - 3*s(g).\nAnswer: -29*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 3705\/822142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 715 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10611*y**3 - 2909*y**2*z - 880174321*z - 2 wrt y.\nAnswer: -31833*y**2 - 5818*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.00817 to 1 decimal place.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00081530792 to 6 dps.\nAnswer: 0.000815","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 3\/5 (c) 2\/9 (d) 2068 (e) -203\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2512642360.\nAnswer: 2, 5, 23, 29, 41, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 n when three letters picked without replacement from gggngggnnnnnng.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 17*v**2 + 539*v - 4351. Give s(8).\nAnswer: 1049","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**5\/5 - u**4\/4 - 4*u**3\/3 - 7*u**2\/2 - 5*u - 2. Let s(y) be the first derivative of b(y). Is s(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventeen sixths of a minute?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 284281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/13 (b) 0.2 (c) -3.8 (d) -1218 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 12:24 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -70452375 and 50707.\nAnswer: -70401668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16\/5, 0.43, 0, -4, -1\/6 in descending order.\nAnswer: 0.43, 0, -1\/6, -16\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4149\/392 - 51\/49. What is the common denominator of 79\/44 and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -6*z + 5*z + 63516042, 47637032 = 3*c + z. Suppose -12*g + c = -15*g - 2*y, -2*y = -4*g - 21171990. What is g rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000052709628 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21250 or 21232?\nAnswer: 21250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31900.\nAnswer: 2, 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 42978 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17522751, -17522752, -17522753, -17522754, -17522755, -17522756?\nAnswer: -17522757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, 17 in ascending order.\nAnswer: -6, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 5.61 (c) 3\/2 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/7? (a) -2 (b) -87754 (c) 0.2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i**2 + i. Let x be n(-1). Suppose -x*w = 5 - 17. Suppose -1411*d + 1445*d = 68. Solve 7*s = d*z + w*s - 1, 0 = -z - s - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.2, -2\/17, -0.29, 0.17, -2\/231?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -3, -4, 1, -615 in ascending order.\nAnswer: -615, -5, -4, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 126437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 73771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1236*-81\nAnswer: 10.0116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154598 (base 14) to base 13.\nAnswer: -1cc966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l + k = -36*l - 20, 50*l = 148*l - 5*k + k + 262 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2201\/3, 0.5, 0.1?\nAnswer: -2201\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 21 = -8*r. Let x = 16 - 9. Suppose -4*t + r*t - 5*f - 32 = 0, -2*f + x = t. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90379 is divided by 8053?\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 26*v**2 + 2*v + 57. Let y be k(-26). Solve -y*x = 4*o - 6, -o - 8 = -3*x + o for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -43, 784, -3\/5?\nAnswer: 784","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.3 + -1.7. Let y = -4 - -3.6. Let i = -0.4 - y. Which is the closest to -2\/5? (a) -3\/5 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 4*x. Let u be q(6). Suppose 0 = 3*v - 0*v - u. Let -v*r**2 - r + r**2 + 2*r**2 = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b + b + 5*b + 3*b + b + 2*b + (-3 + 2*b + 3)*(1 + 3 - 2).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*j**3 + 2*j - 5*j**3 - 2*j**3 as a*j**2 + p*j + g*j**3 + n and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 6*r**2 - 22*r + 14. Give y(5).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 f when three letters picked without replacement from qbvsbfq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + sqrt(300)))**2.\nAnswer: 720*sqrt(3) + 10836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-1\/7))\/(t\/((((t**(1\/35)\/t)\/t)\/t)\/t))*(t\/(t\/((t*t*t\/t**7)\/t)))**48 assuming t is positive.\nAnswer: t**(-8499\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1654\/3 - -565. Let p = 13 - x. What is the third biggest value in 0.4, p, 2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -665 + 700. Solve -4*c + 51 = w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*a = -6*w + 82, 0 = -3*a + 15. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v = -8*v + 24. Let d be 1*254\/7 - v\/(-28). Suppose -2*w + 4*c = -d, 2*w - c = 12 + 21. What is the remainder when 45 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275388219 a multiple of 2714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 1)*((-3*i**4 + 3*i**4 + 4*i**4)*(15*i + 52*i + 16*i) - 2*i**5 - i**4 + i**4).\nAnswer: -660*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 1 = -4*a. Suppose -z + 2*z - 1 = -4*k, -12 = 3*k + 5*z. Let b be (k\/3)\/((-1)\/(-6)). Solve b*w = -a - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2569186 a multiple of 227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 194005 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z**3 + 708*z**2 - 6459*z - 1320 = 0 for z.\nAnswer: -55, -1\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/((-29)\/(-7)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 66, 96, 124, 150, 174, 196?\n\"Answer: -k**2 + 33*k + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**7\/630 + y**5\/15 + y**4\/2 + 9*y. Let m(q) be the third derivative of u(q). What is the first derivative of m(r) wrt r?\nAnswer: 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/(-3) - -12 - -7)\/(150\/(-20))?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -268, -473, -1026, -2101, -3872, -6513, -10198, -15101?\n\"Answer: -29*h**3 - 2*h - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78032946?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 3*o = 3*m + 245, -189 = -4*m - o. Suppose r = c + 121, 43*r = m*r + 5*c - 363. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 67.\nAnswer: -4\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -16 - (4 + 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in 1\/9, -489, -2\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w - 10*w - 28 = -32*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -11 - -12 - (-6)\/(-12). What is the nearest to -1 in s, 3, 4\/3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52621 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -7*j + 2*j. Let p(l) = -l + 1. Let i be p(j). Suppose 3*c = -0*c + 2*v + 78, -c + 30 = -i*v. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 114879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 4*x**2 - 4*x + 7. Let v be z(-5). Suppose 0*b + 3*r - 19 = -b, 5*r = -2*b + 35. Suppose 12*c = -b*c + 3*c. Sort c, 1, v in decreasing order.\nAnswer: v, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002437 to 7 dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 124712 + 205325. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**2 + 23739*m.\nAnswer: 3*m*(m + 7913)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -392 + 4723\/12. What is the common denominator of 79\/372 and p?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 403628 - 83?\nAnswer: 403535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213392461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 0 - 1\/12*x**3 + 0*x**2 - 4*x - 1\/24*x**4. Solve s(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from {z: 2, m: 2, a: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3435*12\/(-18) - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -23*j**2 - 2*j + 11. Let r(n) = 8*n**2 - 5. Let i(o) = -6*k(o) - 17*r(o). What is i(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 288\/192*2\/162*-4\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5 + (-119 - 0))\/(-1). List the prime factors of t\/(-217) - (-2104)\/7.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 0.90594, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20678 is divided by 899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4 + 1 + sqrt(13) + sqrt(13) - (sqrt(1053) + sqrt(1053)*-2 + sqrt(1053) + sqrt(1053))**2).\nAnswer: -1046 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-20 - (-2 - 3) - -2) + 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -17112?\nAnswer: 17110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -888?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -1\/12*a**4 - 2\/3*a**3 + 0 - 26*a + 0*a**2. Let h(y) = 0. What is y?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*a**3 + 290*a**2 + 4*a + 114327?\nAnswer: -12*a**2 + 580*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(24\/(-4))*-2*1625\/250?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = 9 + 36. Solve 0 = -t - 2*o + 3, -4*t = -2*t + 3*o - j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1644 - 1643.5. Let j = -0.1 + -0.4. Which is the fourth smallest value? (a) -5\/11 (b) i (c) j (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 3685*y - 3625*y - 159, -5*y + 75 = 5*z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-1404)\/36)*(-1)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 28. Suppose -3*u = 18*j - 22*j - 192, 2*u + j = 150. Calculate the highest common divisor of u and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 2\/11 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2301943150.\nAnswer: 2, 5, 13, 29, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 - 8)\/((-4)\/(-6)). Let f be -25*1*w\/(-10 + 7). Solve 3*q = -j - 14, -2*j + 0*j - f = 5*q for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + i - 2*i**2 + 0*i**2 + 6*i**3 as t*i**2 + w*i + k*i**3 + x and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110112201 + 320?\nAnswer: 110113121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3389 - 6187089.\nAnswer: -6187089.3389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 204695800 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 116*f - 785. Let p be x(14). Which is smaller: p or 833?\nAnswer: 833","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1080*i**3 + 36*i - 10*i - 26*i + (-4 + 3 + 3)*(2*i**3 + i**3 - i**3) as w + p*i + z*i**2 + s*i**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 873829965 to the power of 1\/3, to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 28*t - 160. What is the remainder when 159 is divided by f(17)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7 = -5*r, 6*j - 13 = 4*j - 5*r. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 599 + -850. What is the tens digit of (-12)\/16 - (-2)\/(-8)*s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -x**6\/360 - 4*x**3\/3 - 1. Let h(q) be the third derivative of t(q). Let n(d) = 3*d. What is n(h(w))?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*c - c = 28, 0 = p + 4*c + 16. Let a(y) = -4 - 10*y - 1 + p - 2. Let d(u) = u + 1. What is -a(n) - 2*d(n)?\nAnswer: 8*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, -1\/6 in ascending order.\nAnswer: -7, -3, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2 - 168420*x - 2363774700.\nAnswer: -3*(x + 28070)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*o**2 + 1392265*o + 556910.\nAnswer: -5*(o - 55691)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -12. Is 4*183 - (0 + v - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 3*d - 887. Suppose -239 - d = -4*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 385, 864, 1535?\nAnswer: 2398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of -1\/105*i**7 + 0*i**5 + 0*i**4 - 1\/75*i**6 + 0*i**2 + 0*i**3 + 0 - 4*i. Let v(z) = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*i**4 + i**2 - i**2 + (2*i**3 + i**2 - i**2)*(-i + 4*i - 4*i) + i**4 + 2*i**4 - i**4 + (4*i**2 - 3*i**2 + 6*i**2)*(-3*i**2 - 2*i**2 + 3*i**2).\nAnswer: -21*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 393, 401, 411, 423?\n\"Answer: y**2 + 5*y + 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0*b - b)*(-3*b - 5*b + 3*b) - 1 + 2*b + 0 - 1 - 5*b**2.\nAnswer: 10*b**2 + 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 4 = -3*a. Solve a = -2*i - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 2*q**2 + 13*q + 31. Let f be b(-2). Solve -f*a - 3*k = -19, 2*a = -4*k + 13 + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by -1225\nAnswer: 71\/1225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 21203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10162021.\nAnswer: 23, 441827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2. Let t(b) be the first derivative of 1\/3*b**3 - 41 + 0*b**2 - 3*b. Calculate k(t(f)).\nAnswer: f**4 - 6*f**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 - (-4 - -7)) + 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 - 674 = 57*j + 9 + 3475 for j.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z - 3*z + (-1 - 1 + 4)*(2 - z - 2))*(z**3 - z**3 - z**3).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*l - 24*l**4 + 57*l + (5 - 5 - l**3)*(-2*l - 1 + 1) + 3*l**4 - l**4 - 3*l**4.\nAnswer: -23*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(7))*-6 - sqrt(7)) + -4 + sqrt(42)\/sqrt(6))**2.\nAnswer: 120*sqrt(7) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22033 - -22034. Which is the closest to -2\/3? (a) -2 (b) u (c) -4\/5 (d) -35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 0*o - 2 - o**2 + 4\/3*o**3. What is the second derivative of m(j) wrt j?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2. Let x(k) = -6*k + 48. What is f(x(t))?\nAnswer: 36*t**2 - 576*t + 2304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1. Let z be (2 - -1) + 3 + (-15 - -11). Let v(u) = u - 1. What is z*v(t) - s(t)?\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 6 = -0, -2*z - 4*n - 4 = 0. What are the prime factors of (-56 - -3)\/(18\/10 - z)?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 9. Let u be l(5). Let d(y) = 5*y**2 + 11*y + 4. Is d(u) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*m**4 + 27*m**3 + 36*m + 226100 with respect to m.\nAnswer: -56*m**3 + 81*m**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + sqrt(252)\/sqrt(4) - -2*-1*sqrt(7))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.3 + -7.375. Let l = 4.05436074 + -4.129362. Let h = l - r. What is h rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -527312 or -527344?\nAnswer: -527344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 10 = u, -5*u = 4*h - 3*u - 22. Suppose 7 = 2*l - h. Solve -l*k + 2*k = -2*s + 2, -5*s + 2*k = 17 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2761275 take away -2?\nAnswer: -0.2761275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5791 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = -2*z. Let f(s) = 13*s**2 + 17*s + 4. Let i(q) = -11*q**2 - 15*q - 4. Let b(c) = 5*f(c) + 6*i(c). Determine b(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by -44\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(-7 + 3 + 2)*(3 + 2 - 2)*(-5 + 5 - 7*t).\nAnswer: -42*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15482734 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, b: 5, k: 4}. Give prob of picking 3 k and 1 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*i**2 + 30*i**2 - 46*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/8, -6\/1709, 0.2, 4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30422134357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d - 1. Let q(m) be the first derivative of m + 1. Let o(t) = l(t) - 2*q(t). Let g(h) = -14*h + 1 - 6 - 3. Calculate -3*g(u) + 8*o(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 508407 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a day?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/173741733?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5 + 624*t**2 - 622*t**2 + 2 - 2*t + 3.\nAnswer: 2*t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-1)\/((-1)\/(-3)). Is i + 2*1727 + -4 + 5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**5\/190 - 49*s**4\/114 + s**3\/57 + 49*s**2\/19 - 4479*s. What is l in n(l) = 0?\nAnswer: -49, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n + n)*(-2174*n + 2174*n - 3*n**4 + 4*n**2).\nAnswer: 6*n**5 - 8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 19910125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8224 and 176.\nAnswer: 90464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wumuuwuuz. What is prob of picking 1 z, 1 m, and 2 w?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5224\/143243 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95 - 82 = 13*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/3 + 5\/3. Let q(w) be the second derivative of 0 + 0*w**2 - 1\/15*w**6 + 0*w**4 + y*w**3 + 0*w**5 - 4*w. Find the second derivative of q(k) wrt k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus 130.48223236?\nAnswer: -134.48223236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2558458431\/558530 - -6\/55853. Let i = y - -4577. Calculate the common denominator of i and (-60)\/20 - ((-50)\/(-6))\/1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4479 bigger than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 - -5)*(1 + (-4 - -1)). Suppose 2*m = -2*m + 168. Let b = p + m. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 0, 31, 18, -26 in decreasing order.\nAnswer: 31, 18, 7, 0, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*k + 21973548 = 154*k. Let f = k + 698871. Round f to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -116 or 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*u**3 + 5*u**2 - 3*u**2 + 10*u**2 - 7*u**2 to x*u + p*u**2 + j + w*u**3 and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**25\/((c\/(c\/(c*c\/(c\/c**(-4\/13)))))\/c)*(c\/(c**5\/c))**(-41) assuming c is positive.\nAnswer: c**(1928\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 91 - 94. Is ((-30)\/(-12) + p)\/((-3)\/372) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2128457361 and -8.4.\nAnswer: -2128457369.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47bc (base 13) to base 4.\nAnswer: -2132032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -12*h + 22*h. Suppose z + h*c - 2 = 28, c = 1. Calculate the remainder when 99 is divided by z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -42*o**3 - 287*o**2 + 31*o - 61. Let z be u(-7). Suppose -4*r + 157 = -623. What is the greatest common divisor of r and z?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 12 = 3*d. Suppose d + 14 = 5*a, 5*u - 14 = -a. Let k be (-3 + u - -3) + 0. Which is greater: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express j + 3*j - 4*j + 2*j - 7*j**3 in the form g*j**3 + v*j**2 + l*j + q and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -296.8 + 329. Let r = 32 - k. Is 0 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 4:09 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*l + 6*l - 4*b, 0 = 4*b - 8. Let s be 0 - (1 + -1 - 5). What is the first derivative of -4 + s - 4 + l*h**3 wrt h?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5771 + -4776. What is the greatest common factor of d and 398?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*u = -4812, -5*h + 3*u - 4*u - 7 = -9 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 20 = -4*y, -38 + 15 = -5*l + 3*y. Let p be (8\/l)\/(1\/1). What is the second derivative of 19*t**3 - 2*t - p*t**4 - 19*t**3 wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 24. Let h(z) = -2*z - 3. Let j be h(b). Let y be (-2)\/(-6) - (-34)\/6. Solve j*g + 15 = -5*c, -3*c + 5*g = -c + y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -151962277.\nAnswer: -151962275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4240 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -554 (base 9) to base 13\nAnswer: -28c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -132 - -129. What is the closest to v in 5, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1764)*-2)\/((sqrt(144)*-5 + sqrt(36))\/sqrt(1200)).\nAnswer: -280*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -1099 + 5299. Let f = g + 1529. 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 (198\/(-46))\/((-22770)\/174570)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 6:37 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*(2 - 1) - 10. Let r be ((-18)\/(-15))\/(p\/40). Let q be 12\/28 - r\/(-28). Sort q, -0.2, 2\/25 in ascending order.\nAnswer: -0.2, 2\/25, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.452 to the nearest integer.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 6.92091 * -0.209\nAnswer: -1.44647019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c. Let b(d) be the second derivative of 3*d**3\/2 + 2*d. Let g(z) = b(z) + 6*f(z). Let h(s) = -s. Give h(g(r)).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - -2)*218\/(-2). Let g = r - -121. Suppose 5*y - 2*c - 13 = g, 4*c + 26 = 2*y. Solve 0*s = -y*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29 - 27. Suppose -l*a + 17 = -3*x, 0*a - 14 = a + 3*x. Is -3\/5 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5037.\nAnswer: 3, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 27\/2, -97, -2, -0.013 in descending order.\nAnswer: 27\/2, -0.013, -2, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2 + 331\/((-1099582)\/(-604))?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*f - 18*f + 55*f - 24*f - 30 as b*f + w and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13133 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 1610\/13 - (357\/(-546) + 4\/8).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 104803*a**2 - 41909*a**3 - 104803*a**2.\nAnswer: -41909*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*r + 6112519 = 464968. List the prime factors of r.\nAnswer: 137, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9688 + -1444.2.\nAnswer: -11132.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 154 - 34 = 0. Let f be 5\/(10\/4) - 0. Suppose 4*j + 19 = d + 5*j, 28 = f*d + 4*j. What is the greatest common divisor of d and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234919 a multiple of 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -8. Suppose -1 = 2*b - m, b - u*m + 0 = -8. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-15)*x**(-5\/7)\/x)\/(x**(1\/7))**36)**(-49) assuming x is positive.\nAnswer: x**1071","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**2 - 35*h - 5. Determine i(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -5*c**6\/6 + 10*c**5 - 10*c**4 - 50*c**3\/3 + 45*c**2\/2 + 116. Let j(l) = 0. Calculate l.\nAnswer: -1, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10 - 5 - (282\/72 - -1). What is the biggest value in u, 2, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -37, -86, -135, -184, -233, -282?\n\"Answer: -49*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.6 and 12319683395?\nAnswer: 12319683394.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/30477 - 39802952\/152385. Is -261 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1379068, 2, 5 in decreasing order.\nAnswer: 1379068, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 + 3*t + 2*t**4 - 2*t**2 - 4*t**4 + 0*t as s*t + j*t**3 + u*t**4 + o + a*t**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -977, -1987, -2997, -4007, -5017, -6027?\n\"Answer: -1010*x + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence npn when three letters picked without replacement from {k: 1, v: 3, n: 7, w: 4, p: 2}?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) + sqrt(110)\/sqrt(2))*-6)\/sqrt(11) - sqrt(15)\/((sqrt(27)\/sqrt(3))\/sqrt(3)).\nAnswer: -13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 17 = -1. Let c be a - 1*0\/1. Suppose -2*i = -5*p - 1119990, 2*i + 2800008 = 7*i + c*p. What is i rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*(sqrt(1300) + 1)**2*-1.\nAnswer: 360*sqrt(13) + 23418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - -109. Is s a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 429 and 3640.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 PM and 1:27 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 5 + 0)*(13*s + 12*s - 20*s) + 246*s - 12 + 166*s + 10 + 0*s - 2*s + 3*s + (2 - 5 + 1)*(0*s + 0*s - 3*s) as k*s + h and give k.\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*r + 103 = -83, 54 = a - 3*r. Suppose -7*p = -12*p + a. What is the remainder when 44 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1646 (b) -3 (c) -1.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1037\/9 + -115. Let a = -0.6 - -0.8. Put 4, -2\/19, a, q in descending order.\nAnswer: 4, q, a, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -242 + 2300?\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*l - 4*f, 4 - 35 = -3*l + 5*f. Let w = 17 - -11. Suppose 5*p - w = -t, -2*t - p + 11 = -0*t. Solve 3*c - 12 = 4*r, t*c + r + 0*r = l for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**5 + 139*i**4 - 4393*i**3 + 15277*i**2 + 4394*i - 15416 = 0. Calculate i.\nAnswer: -1, 1, 4, 41, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12420664357 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.2, 2\/229, -3, -2 in decreasing order.\nAnswer: 2\/229, -2, -3, -6.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -565, 1 in ascending order.\nAnswer: -565, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 29*g**2 + 99*g - 23. Let h be m(-25). Let y be (24\/5)\/((-1)\/(-5)). What are the prime factors of y + (0 + h)*(-3)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*l + 33 = 5*x + 51*l, -4*x + 12 = -2*l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7145041682 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 86\/507943 or -1?\nAnswer: 86\/507943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 56 + 15 + 28 - 3*u - 39. Let i be k(19). Suppose -i*c = -8*c + 585. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/21 and 267\/(-33) + ((-1)\/(-4))\/(1\/12).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 7*q**3 + 79*q**2 + 1166*q + 5488. Let b(o) = -3*o**3 - 40*o**2 - 584*o - 2744. Let a(h) = -15*b(h) - 6*t(h). Suppose a(p) = 0. Calculate p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.11 or 8\/96089?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/6)\/((-2)\/(-18)). Suppose b = -q*b + 252. Suppose 5*v = -2*d + 4*d - b, 4*v = -20. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - p**2)*(-4 + 4 + 2) + (p - 4*p - p)*(-5*p - 2*p + 39*p).\nAnswer: -130*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**4\/9 - 14*d**3\/3 + 44*d**2\/3 + 9*d - 31. Factor y(q).\nAnswer: -4*(q - 1)*(q + 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3218*b - 1351. What are the prime factors of w(6)?\nAnswer: 17957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 778681259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5*x - 18, 4*i + 0*i = 4*x + 24. Suppose -b - i*b = -12. Solve u - 2*k = 1, 2*u - 11 = -k - b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2631.071 - 2618. Let h = 0.013 - -0.058. Let b = d - h. Which is bigger: -3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 5*z**2 + 7*z + 13. Let y be g(6). Suppose -y*o = -22*o + 174. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1603.7 - -88.75381.\nAnswer: -1514.94619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 2*r + 1. Let z be g(-3). Suppose q - z = -3*q. Calculate the remainder when 1 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9811 (base 10) to base 8.\nAnswer: 23123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43789.\nAnswer: 43789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-3) + 0)*3. Suppose -46 = -4*w + r*q - 10, -5*w - 3*q = -69. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*b = 6. Let z = b + -1. Suppose z + 9 = 2*o, 0 = w - 4*o + 3. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -3*x - 3*y, 5*y - 1 = 5*x + 4. Calculate the common denominator of 3*(-1)\/9 + (-284)\/x and 74\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -324 divided by -9\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 40232796601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 37*f + 45*f. What is the nearest to f in 1\/2, -4\/3, 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2082 and 1377 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*(-164)\/(-738)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -146764 (base 12) in base 7?\nAnswer: -2626444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.145660469898 minus 29.9?\nAnswer: -30.045660469898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16211 + 246437\/15. Let u = n + -218. Which is the second smallest value? (a) u (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(121)\/(sqrt(1584)*-2) - sqrt(55)\/(sqrt(40)\/sqrt(2))) + -2.\nAnswer: -13*sqrt(11)\/24 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1621227114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -57*h - 38*h - 5*h + 4077*h**2 - 4072*h**2 = 0?\nAnswer: 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 - -34. Let h = b + -15. Put h, 5, 0 in descending order.\nAnswer: 5, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - (1 + 0)) + 21. Suppose 3*z + 2*y - u = -7, 5*y = 5*z + 10. Find the second derivative of -x**3 - 4*x**2 + 4*x**z - x wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 533 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -0.078 (b) -0.4 (c) -547\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -183888 divided by -4?\nAnswer: 45972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 * 8407093.\nAnswer: -1345134.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) -3 (c) -9 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m + 92 + 111 + 75 - 78.\nAnswer: 2*m + 200","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4727, 0, 5 in decreasing order.\nAnswer: 5, 0, -4727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 3*f - 65. Is 25 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5082116 and 4276.\nAnswer: -5077840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2. Let p(r) = 7*r - 4. Let z be ((-4)\/(-3))\/(1\/(-3)). Let n(q) = -8*q + 5. Let y = 0 - 5. Let d(a) = y*p(a) + z*n(a). Determine x(d(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 1\/5, 3, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven eighths of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 w, and 1 f when four letters picked without replacement from fwowfwtjtw.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 53130335 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2926*o + 687 - 466 + 709 + 299 wrt o.\nAnswer: 2926","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in -1\/8, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 88133 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6\/3844207?\nAnswer: -6\/3844207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 380535737?\nAnswer: 380535737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -7*r. Suppose r = -0*p + p - 66. Let k be p\/378 - 2\/7. Put k, -0.4, 0 in ascending order.\nAnswer: -0.4, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 434515*j + j**2 - 5*j**2 + 23*j**3 - 434516*j in the form a + b*j**3 + o*j + c*j**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, s: 4, g: 4, n: 1}. What is prob of sequence ggh?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 15 = -0*t. What is b in -8*b - 14*b**5 + 106*b**4 - 2*b - 6*b**t - 21*b**4 - 120*b**3 + 65*b**2 = 0?\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 861 = m - 2*h, h = -m + 2*h + 860. List the prime factors of m.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280453?\nAnswer: 283, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*n**3 + 12*n**3 - 23*n**3 - 167962 + 597*n**2 - 54827 - 27501*n - 5*n**3.\nAnswer: -3*(n - 103)**2*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 3)*(-4*t + 3*t - 2*t) + (4 - 4 - 2*t)*(-4 + 2 + 0) - 5*t + t + 6*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 2*k + 1. Let o(z) = -2*z**2 - 6*z - 42. Let p(y) = o(y) + 3*x(y). Let v be p(-6). Let w(f) = f - 3. What is w(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/((-57)\/(-76)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/798 and 2\/281?\nAnswer: 224238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u**2 - 277*u - 1884. What is t(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - d + 49, -4*m + 3*d + 87 = -0*m. Calculate the remainder when -2*(-3 + (-225)\/10) is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98969?\nAnswer: 13, 23, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -482 and -36.\nAnswer: 17352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o**2 + 2*o + 3. Let x(j) be the second derivative of 4*j + 1\/2*j**4 + 0 - 5*j**2 - 7\/6*j**3. Let t = 1 + 6. Calculate t*b(y) + 2*x(y).\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 PM and 11:20 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1782580.\nAnswer: 2, 5, 19, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-17)*f))\/f**(-4))\/((f\/(f**(-2\/19)\/f)*f)\/((f\/f**15)\/f)) assuming f is positive.\nAnswer: f**(-610\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 4 = -b, -3*b - 3*u + 2*u = -8 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 5*w. Put w, 2, 4 in decreasing order.\nAnswer: 4, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26044597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2317\/11 + -211. Let x be (-10)\/12*(-1531)\/50. Let c = 179\/12 - x. What is the common denominator of c and t?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-22) - ((-2944)\/(-88) + -71)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 10:13 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3222 (base 4) to base 14.\nAnswer: 12a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1169240?\nAnswer: 2, 5, 29231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(18)\/sqrt(3))\/sqrt(2))**2 + sqrt(3))*-4.\nAnswer: -12 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165855 - 33293 = 4*n + 3*w, -5*w - 33129 = -n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.008268911+32\nAnswer: 32.008268911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/(54\/(-3))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3460515 or 6921031\/2?\nAnswer: 3460515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7253 and -15433479?\nAnswer: 15426226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 4ba715?\nAnswer: -4ba712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2201*x - 8801*x + 13*x**2 + 30*x**2 + 2203*x + 2194*x + 2196*x.\nAnswer: 43*x**2 - 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 20*u + 29 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/2*f - 25\/4*f**2 + 0 + 5\/4*f**4 - 5\/2*f**3.\nAnswer: 5*f*(f - 3)*(f - 1)*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87 + -2. What are the prime factors of h?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + (-327)\/(-6) - 2\/4. Calculate the greatest common factor of 220 and r.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 7*w + 15. Let c(t) = -t**2 - 3*t - 1. Let f be c(w). Let m = -369 + 373. Sort m, -6, f in decreasing order.\nAnswer: m, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22550 > 22549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-116*k**3 + 78*k**3 + 73*k**3)*(7*k - 21*k + 76*k) to the form x*k + n*k**4 + o*k**2 + u + z*k**3 and give n.\nAnswer: 2170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(2\/(3 - -3)). What is the second derivative of 18*s - 3*s**2 + 19 + f - 37 wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -6. Let y(q) = -2*q**2 + 30*q - 19. Let u be y(14). Suppose -3*a = 3*s - u, 4*a + 2*s = s + 12. Solve -5*o = 3*r + 7, a*r = -r - 5*o - c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3064 + 6158 = -4*i + 3026 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 29 = -3*w. Suppose 60 = -w*f + 22*f. Calculate the remainder when f is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/5 and -72\/35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358262436.\nAnswer: 2, 3, 7, 4265029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 18559756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 108\/(-24)*(-2)\/(-15)*40\/(-2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 40 and 179527293.\nAnswer: 179527333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2. Suppose 0 = -0*a + 3*a - 12. What is the tens digit of w(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 60 + 9*b**2 + 72 - 7*b.\nAnswer: 9*b**2 - 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4067095728?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 847 + -442. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**5 + 424*h**4 + 11236*h**3 = 0?\nAnswer: -53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 613 + -612. Let t = 0.02 - 0.19. Let x = 0.07 + t. What is the closest to x in 7, 2\/11, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.5843 rounded to 0 decimal places?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 7*l**2 - 11*l - 32. Let r be i(-8). Let j(p) = p**3 + 7*p**2 - 8*p - 1. Calculate j(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 179 + -184. Let j = 0 - -3. Let v be (-1)\/(j - 21\/(-6)). What is the third biggest value in m, v, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 8 = -4*r - 2, -4*w = -3*r - 45. Find the common denominator of 153\/5*(-1)\/12 and (-77)\/18 + (-3)\/w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/l**(3\/4)*l\/(l*l**0\/l*l)*l*(l*(l\/l**(-2))\/l*l)**(-25\/6) assuming l is positive.\nAnswer: l**(-173\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -809*i**3 + 397*i**3 + 78 + 412*i**3 - 780*i**4 + 3*i wrt i?\nAnswer: -9360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9873*z + 3379*z + 3240*z + 3223*z.\nAnswer: -31*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*k**4 + 277*k**3 - 39*k**2 - 277*k + 50 = 0. What is k?\nAnswer: -1, 2\/11, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 233113051 + -25?\nAnswer: 233113022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 704.1264 millilitres?\nAnswer: 0.7041264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 196.0338281 times 5\nAnswer: 980.1691405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -3\/8, 17, 0.04, -73, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(3\/5)\/((o\/((o**(-24)\/o)\/o)*o)\/o)*o**(3\/2)\/(o**(4\/11)*o*o) assuming o is positive.\nAnswer: o**(-2999\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 10. Let l(n) = -n**2 - 7*n + 3. Calculate the remainder when 49 is divided by l(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-280)\/(-510) + (-44)\/12 + 3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5 and 297540?\nAnswer: -446310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5048 - 3156. List the prime factors of c.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02315031 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -25, -1\/2, -1\/14, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20427 is divided by 82.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) -1\/7 (c) -0.7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -101*f - 62. Let s(v) = 6. Let p(u) = -3*s(u) - y(u). What is the first derivative of p(q) wrt q?\nAnswer: 101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 85, 125, 165, 205?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4231.006 rounded to the nearest 10?\nAnswer: -4230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6589 - -6577. Let x be (-2)\/(-10) + 26\/(-5). Put i, 3, -1, x in decreasing order.\nAnswer: 3, -1, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i = -10, 0 = -5*c - 2*i - 21. Let z(h) = -h - 2. Let w be z(c). What is the closest to -0.1 in 1\/6, w, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -427.64 and 31334.\nAnswer: 30906.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308561 is divided by 77130.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = z - 11, 2*h = 3*z - 3*h - 93. Let m(k) = -k**2 - 18*k - 48. Let l be m(-14). Let v = z - l. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39766 and 10059450.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from gkzghrzrzz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162388261 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -p**6\/120 - p**5\/15 - p**4\/8 - p**3 + p**2 - 3. Give u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6019899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, 8, -6, -38, -94, -180?\n\"Answer: -r**3 + 5*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (8 - (5 - (-10 - -6))) - -26\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32, 289, 980, 2321, 4528, 7817, 12404?\n\"Answer: 36*j**3 + j**2 + 2*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 6*m - 0. Put -0.6, m, 0.3 in decreasing order.\nAnswer: 0.3, -0.6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + (0 - -2 - (-3 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + t + 12 = 0, -5*s - 6*t + 31 + 29 = 0 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 11:36 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 10*d - 9*d - 4 - 2*d**3 to g*d + r + k*d**2 + y*d**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 - -47 - (-1)\/((-3)\/(-4)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**4\/12 + i**3\/6 - 2*i**2 + 5*i. What is the lowest common multiple of 11 and q(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -7*t**2 + 0 + 3\/2*t**3 + 3\/20*t**6 + 0*t + 3\/5*t**5 + 5\/4*t**4 + 1\/70*t**7. Find s such that d(s) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 13088 = -5*w - 12699, -2*o = 3*w - 12877. Let m = o - 386737\/60. Find the common denominator of -35\/22 and m.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5300 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 982*t + 987*t = 1984*t - 3330. Solve -231*d - 9 = -t*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -o + 3*u + 3, 3 = 2*o + u. Let j be ((-28)\/21)\/(o\/(-9)). Suppose -2*q + 23 = -j. Solve -2*k - 3*w = q, 4*w = 3*k - w - 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 8*f**2 + 7*f - 7. Give w(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3 = -8*w. Let i(a) = 3*a**2 - 15*a - 4. Let h(g) = g**2 - g. Let p(r) = w*i(r) - 4*h(r). Let o be p(-10). Solve 2*x = -x - o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3565?\nAnswer: 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2099048 divided by 7?\nAnswer: 299864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 94, 0.2, 0.05, -1\/2, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 + -41. Let g = 4 - 10. Let j(p) = -p**3 - 6*p**2 - 2*p - 2. Let l be j(g). Calculate the greatest common divisor of l and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5177 and 82910.86.\nAnswer: 88087.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 - 12*g - 3. Let t be r(9). Is 12\/t - (-3914)\/10 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/1*(-1328)\/(-249)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**3*m**3*u - 118*f**3*m**3 - 47*f**3*u + 4*f**2*m**3 - 6192*f*m**3*u wrt f.\nAnswer: -12*m**3*u - 708*m**3 - 282*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 54\/1*(-6)\/(-18). Let u = 25 - h. Let j be (2\/(-6))\/(u\/(-42)). Solve -4*k + j = -3*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00302167792 to 5 decimal places.\nAnswer: -0.00302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -79 + 122.8. Let q = 44 - d. Sort q, -1\/5, -0.5 in increasing order.\nAnswer: -0.5, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2596 - 1.10959?\nAnswer: 2594.89041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hpsxttsstxsttttsttst. What is prob of picking 1 h and 2 s?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08 - 13446961455.58?\nAnswer: -13446961455.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1002664 by -199.\nAnswer: 1002664\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + z + 2*z)*(-2*z + 1 - 1).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.672371315 rounded to 4 decimal places?\nAnswer: 0.6724","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4 + 61 = 0. Suppose -n - 219 = -4*n. Calculate the remainder when n is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + (4 + sqrt(252) - sqrt(252)))*5)**2 + sqrt(252).\nAnswer: 1206*sqrt(7) + 6700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-410)\/246)\/((-140)\/(-72)))\/(4\/266).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*g**2 + 303 - 297\/2*g.\nAnswer: -3*(g - 2)*(g + 101)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -3*l**4\/4 - 27*l**3\/8 + 453*l**2 + 39933*l\/8 = 0.\nAnswer: -17, -29\/2, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1947673 days in hours?\nAnswer: 4.6744152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 5*b + 2. Let k be q(-5). Let n be k\/6 - (-7)\/(-21). Let f be 120 - (2 + (n - 2)). Round f to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 + 3 + (-314 - -346).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 5*p + 34. Let q be u(8). Suppose -6*f - q = -11*f. Solve 5*n + 14 = 2*d, f*d + 9 = -d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 5, -4, -690, -114.\nAnswer: -690, -114, -4, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 369 and 1328154.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320)*-2*5 - (0 + sqrt(320) + 0)**2.\nAnswer: -320 - 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115345 + -4273.7815.\nAnswer: 111071.2185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9\/5 (b) 0.4 (c) -31 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4575, -4590, -4611, -4638, -4671?\nAnswer: -4710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - 550.095?\nAnswer: -549.695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(1\/13)*a)\/a*a*a\/((a**(-23)\/a)\/a))**(-1\/7))**(-37) assuming a is positive.\nAnswer: a**(13024\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 465 divided by -2?\nAnswer: -465\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16655 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 502 divide 495107045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -8*i**2. Let t(c) = 47273*c. Determine t(g(w)).\nAnswer: -378184*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8.77 times 6\nAnswer: -52.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1385 + 1438.57. Let d = 54 - o. Let i = 0.03 - d. What is the biggest value in 2\/17, i, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7674979319976217\/22277465892151470 - -4\/45276641449. Let y = 2\/27335 - o. Let n = 1\/18 - y. Sort -3, n, -3\/5 in ascending order.\nAnswer: -3, -3\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-7 - -2 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8\/7 (b) -0.2 (c) -4 (d) 0.025164\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1827 + 1930 + -180 + -1?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2558151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2052?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**3 - 66*a**2 + 18*a**2 + 36*a + 17*a**2 + 13*a**2 - 24 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 513142 smaller than 513140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1761, -3641, -5525, -7419, -9329?\nAnswer: -11261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 289 + 293, -5*f + y + 49 = 0. Solve -2*p = -4*r + f, -2*p - 82*r + 85*r - 5 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -17*u. Let j(k) = -2*k - 1. Let r(t) = 7*t + 3. Let h(i) = 6*j(i) + 2*r(i). Calculate b(h(l)).\nAnswer: -34*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 15*c = -100. Suppose -7*a + c = -3*a + 3*w, -2*a = -w - 10. Suppose -t - a = -14. What is the remainder when 15 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, t: 14}. Give prob of picking 4 t.\nAnswer: 1001\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 694902492.\nAnswer: 2, 3, 19302847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 5*l**2 + l - 4. Determine d(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 49?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9708, 19417, 29116, 38799, 48460, 58093, 67692?\n\"Answer: -h**3 + h**2 + 9713*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 8. Let p(n) = -n - 7. Let h be p(m). Let r = 12.8 + -13. What is the nearest to h in r, 0.4, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6026873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1808 - -1808.03486. What is n rounded to three decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22501553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/11 - 3451*x**2\/11 - 58974*x\/11 + 62424\/11.\nAnswer: (x - 3468)*(x - 1)*(x + 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6 - 3*p + 27 - 9*p - 3*p. Let m(u) = -u + 2. Let g = -204 + 171. Let n(i) = g*m(i) + 2*l(i). Let w(o) = 5*o**2. Give w(n(a)).\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or -101386?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 542 - 543. Which is the closest to -6? (a) -3\/2 (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/(-264) - (-17)\/(-33). Let p = -0.58 + 0.28. Which is the closest to -1? (a) p (b) 1\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -114 + 1367\/12. Let i(h) = h + 3. Let x be i(-5). Which is the closest to x? (a) -0.3 (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h**3 - 4*h**3 - 2*h**3)*(-22842 + 3775*h - 828*h**2 + 829*h**2 - 3775*h).\nAnswer: -h**5 + 22842*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-58259)\/(-51)*(13 + 2)\/5.\nAnswer: 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-146)\/160 + 2 + (-4896)\/5440?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7862, -3271, -21826, -47803?\n\"Answer: -3711*f**2 + 11573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225\/270*5\/((-50)\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 - 64. Suppose -4*s + 36 = -s. Let t = s - 6. Solve -5*n - 4 = -t*n, o = -4*k + n - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48\/5*i + 27\/5*i**2 + 3\/5*i**3 - 36.\nAnswer: 3*(i - 3)*(i + 2)*(i + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 15 = -10*g, -5*j = g - 22. Suppose -j*v = t - 2977, -2*t - 922 = -3*v + 872. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -30. Let t(u) = -4*u + 2. What is t(h)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5 + 3810*n**4 - 30396*n**3 + 83516*n**2 - 91074*n + 34146 = 0. What is n?\nAnswer: 1, 3, 1897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 26*u + 4 - 12*u.\nAnswer: -38*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-9\/8))\/l)\/l*l*l**(17\/3) assuming l is positive.\nAnswer: l**(163\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -67825763 plus -33602?\nAnswer: -67859365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*(1 + sqrt(245) + 0 - (sqrt(245) + 3*(sqrt(245) - sqrt(245)*-2))))**2*-3.\nAnswer: -37211250 + 236250*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.3 + 13. Let k = -1.6 + g. Suppose i = -5*p + 12, 0 = -5*p + 3*p + 6. Which is the smallest value? (a) -0.3 (b) i (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 836 and 58672?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 9*q - 5*q**2 - q + q**3 - 4*q + 0*q**3. Let h be o(4). Solve -3*c + c = h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4448 + 4447.7. Let u = 988\/869 - 18\/79. What is the biggest value in p, 1, u, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(8)*2)**2 - ((sqrt(2) + -1)*1 + (-5*sqrt(32))**2 + sqrt(2))) + -3.\nAnswer: -930 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 181382936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2. Let t(b) = b - 3. Let r(k) = -3*c(k) - 2*t(k). Let v(u) = 8*u. What is r(v(j))?\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 53 = -8. Solve 5*c + z = 0, 4*c + 25 - 10 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84806525 divided by 5\nAnswer: -16961305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228 = 61*d - 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence faqg when four letters picked without replacement from {w: 2, a: 2, g: 3, q: 3, f: 6}?\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13\/6 + 71\/30. Let i = -50\/3 - -16. Which is the nearest to i? (a) -5 (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 358516737.\nAnswer: 358516736.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 8*j - 26. Does 9 divide d(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -84842*m**5 - 113*m**3 + 7*m**2 - 56750*m - 2.\nAnswer: -5090520*m**2 - 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14051, 28096, 42141, 56186, 70231?\nAnswer: 84276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z - 18*z - 1 + 30*z + 3.\nAnswer: 21*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 - (-20 + 6 + 2 + 9 - -3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -0.2, -2\/23, 138\/5, -3 in descending order.\nAnswer: 138\/5, 4, 3, -2\/23, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {i: 1, r: 2, g: 1, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -28*t + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -1, 10, -10.\nAnswer: -10, -1, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -208. Let f = -95 - c. Let d = 57.0000051 - f. What is d rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13, 432, 1185, 2246, 3615?\n\"Answer: 154*w**2 - 17*w - 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**5\/10 + l**2. Let a(k) = 212*k**2 + 0*k - 211*k**2 + 2*k - 2*k. What is a(j(f))?\nAnswer: 36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -181 less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, c: 1, p: 1, i: 3, e: 1}. Give prob of picking 1 h, 1 e, and 2 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/1207 and -58\/497.\nAnswer: 8449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*a**2 + 24987*a\/5 + 24942\/5.\nAnswer: 3*(a + 1)*(15*a + 8314)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -12*p**2. Let k(s) be the third derivative of -s**6\/720 - 7*s**4\/24 - 7*s**2. Let z(j) be the second derivative of k(j). Determine v(z(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -18 + (10 - -28) + 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 + 0.1. What is the closest to 0.2 in 0.3, 2\/17, r?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**5\/3 + 104*f**4\/3 - 524*f**3\/3 + 904*f**2\/3 - 160*f = 0. Calculate f.\nAnswer: 0, 1, 2, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 + 12415?\nAnswer: 12407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*(sqrt(57)\/sqrt(3) - sqrt(19)))**2 + 1*(sqrt(1368)\/sqrt(2))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 138 - 165 + 168 = 5*o, -3*o - 4*w = -39 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fp when two letters picked without replacement from {p: 2, f: 1, t: 4, m: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 78.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -696*i + 701*i - 58 = 27. Let s(q) = -q**3 + 2*q**2 + 3*q. Let h be s(3). Put 5, i, 1, h in descending order.\nAnswer: i, 5, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1345613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 229*j.\nAnswer: -229*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**5 + b**4 + b**2 + b - 1. Let f(l) = -15*l**5 - 41*l**4 - 17*l**3 - 3*l**2 - l + 1. Let r(z) = -f(z) - x(z). Find n such that r(n) = 0.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17794797*p - p**3 - 17794797*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q - 181. Let s(v) = -6*v - 364. Give 3*s(j) - 5*w(j).\nAnswer: 2*j - 187","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 + 40. Let q = p - -31. Is 46 - (q + 3)*1 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1809636 or 1809683?\nAnswer: 1809636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 201258*x - 402508.\nAnswer: -2*(x + 2)*(x + 100627)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 22*v**2 + 87*v + 437. What is z(26)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 2. Let s be ((-50)\/15)\/(1\/(-12)). Suppose s = 3*a - 8. What is the least common multiple of y(3) and a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**2 - 1946166*h - 9730905 = 0. Calculate h.\nAnswer: -5, 648727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8632523, -8632515, -8632503, -8632487, -8632467?\nAnswer: -8632443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*x - 47, -5*j + 215 = -x + 6*x. Let y = -21 + j. Is y != 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(2*m - 4*m - 3*m) + (3 - 3 + m)*(-94 - 75 + 290).\nAnswer: 116*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 1:04 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*(-6 - 85\/(-17)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 3:29 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10680)\/(-510) + 5\/85?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*c + 78*c = a + 77, -81 = 3*a + 5*c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, m: 8}. What is prob of picking 2 m and 2 v?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 15*i - 77. Let c be s(4). Which is smaller: c or -15?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 61*i**2 + 830*i + 92. Is w(-43) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -281 by 4.\nAnswer: -281\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2794 - 99*y + 5587 - 382*y**2 - 2793 - 75*y wrt y.\nAnswer: -764","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(112) + -1)*-6*1 + (sqrt(70) - (1*sqrt(70)*-1 - sqrt(70)))\/(sqrt(810) + sqrt(810) + sqrt(810)*2 - sqrt(10)).\nAnswer: -837*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1183 and 6381557?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8130*s + 56 - 56 + 7736*s.\nAnswer: -394*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110011101000 + 101?\nAnswer: -11110011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2843 - 2787 = -7*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2875811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 582985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 4*g + 4 - 8 = 4, 13*u + 2*g - 38 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -3*(sqrt(684) + 1).\nAnswer: -18*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 = i + 11, -2*j - 13 = i. Let r be j\/(45\/2)*-9. Suppose z - 10 = -r. What is the highest common factor of z and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 419.8517mm to micrometers.\nAnswer: 419851.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeeeee. Give prob of sequence eeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 141368938?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 15 (c) -1 (d) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59939, -237972, -534693, -950102, -1484199, -2136984?\nAnswer: -2908457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3140 + -1?\nAnswer: -3141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45572349 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 714324.4 millimeters in nanometers?\nAnswer: 714324400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z - 1. Let d(q) = q + 3. Let j(l) = d(l) + 3*i(l). Let w(y) = -5*y. Determine w(j(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 + 21*c - 22. Let o be z(-8). Determine f so that -4\/5*f + 1\/5*f**o + 4\/5 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -2 - (95 + (62 - (-30 + 47)))?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**2\/3 - 1452*u - 1581228 = 0.\nAnswer: -2178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hz when two letters picked without replacement from qmwzmqmzghgqmhmqmmmm?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(10\/196) + 1. Let u(o) = -o**3 - 9*o**2 + 10*o + 11. Let j be u(-10). Calculate the highest common divisor of j and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 124143133 (base 6) to base 13\nAnswer: 675672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*k + 0*k = 42, -2*s = 4*k - 46. Let g(c) = 2*c. Let n be g(2). Let f = 8 - n. Calculate the remainder when s is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189\/(-630)*(-10 - 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -135 + 3?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 444129665 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 351428732?\nAnswer: 2, 87857183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -1. Let r = 41 - 39. Let v(w) = 40*w**2 - 5 - 23*w**r - 18*w**2. What is -6*g(f) + v(f)?\nAnswer: -f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*b - 9 + 19*b + 5 - 61 - 18.\nAnswer: -108*b - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 10 - (-3 + 0)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -21\/1955 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r = 38 - 142. Let v be (r\/(-12))\/(7\/(-110250)). What is v rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 290*d**2 - 83*d + 5. What are the prime factors of g(-5)?\nAnswer: 2, 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**3. Let w be r(1). Suppose 0 = -2*p - 2*b + 88, -52 = -4*p + 2*b + 112. What is the greatest common divisor of w and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3035 + -3040. Sort 5, -2\/7, m, -12 in decreasing order.\nAnswer: 5, -2\/7, m, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1450915.\nAnswer: 5, 290183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/10497 or 0?\nAnswer: -1\/10497","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o + 9. Let q(g) = g. Let a(b) = -6*q(b) + 2*s(b). Let w be a(-12). Suppose 0 = h - 7*h + w. What is the least common multiple of h and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*(d\/(d\/d**(-1\/52)))\/d))\/d*d)\/((d\/(d**(-31)\/d)*d)\/d))**(-2\/109) assuming d is positive.\nAnswer: d**(1663\/2834)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -52763, -105527, -158291, -211055?\n\"Answer: -52764*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -4. Suppose d - j = -b, 0 = 3*d - 0*b - b - 25. Let o = d + 3. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6303 a factor of 1017449169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-46)\/8 + 1\/(-4). Let f(p) be the first derivative of p**4\/4 + 5*p**3\/3 - 7*p**2\/2 - 2*p + 28. What is f(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 18*d + 30. Determine i(-7).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 529487961 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from {y: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107731 + 107681. Let w = 2 + -4. Which is the second biggest value? (a) 0 (b) w (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrr when three letters picked without replacement from jjrijjirjijjri.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*6\/243)\/(4\/(12\/3)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15162)\/606 - (1334\/(-23) - -33).\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*l + 845085*p - 845084*p, -18 = 5*l - 2*p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**5 + 1487*x**4 + 72750*x**3 + 1300050*x**2 + 9716625*x + 24249375 = 0.\nAnswer: -1437, -15, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71805195*v**3 - 40317905*v wrt v?\nAnswer: -430831170*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.99377 rounded to 2 decimal places?\nAnswer: 3.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence he when two letters picked without replacement from {e: 2, h: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -97658 divided by -561?\nAnswer: 8878\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*o**2 + 10153 - 10155 + 4*o - o to the form x + b*o**2 + n*o and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of 5\/3*j**6 + 0*j - 2*j**3 + 0*j**5 + 0*j**2 + 12 + 0*j**4. Find the third derivative of i(d) wrt d.\nAnswer: 600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a + 5. Let t(b) = b + 1. Let c(v) = s(v) - 2*t(v). Let d be c(4). Let n = 22 - d. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31868 is divided by 10611.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1444952 divided by 180619.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 99, 236, 429, 678, 983?\nAnswer: 1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = x + 4*w - 5, 2*x - 3*w = -5. Is 6 - -2 - (-1)\/x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-54))\/((4\/(-3))\/(-4))*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**5 - 156*s**4 - 328*s**3 = 0.\nAnswer: -2, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22275493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 512, 500, 488, 476, 464, 452?\n\"Answer: -12*i + 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t + 4*t - t - t + 3*t - 4*t + (3 - 4 + 0)*(-t + 3*t - 3*t) - 4*t - t + 2*t)*(2 - 5 + 2) + 3*t - 3 + 3 to the form u + q*t and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 9*p + 46. Let l(x) = 3*x**2 - 9*x + 47. Let g(i) = 4*l(i) - 5*o(i). What is the units digit of g(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-65 + 11)*4\/(-6). Calculate the greatest common divisor of k and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -370191 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from qvfmqjzqmqjzqf?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fffffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17591 and 919191?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + y + 7 = z, 3*z + 3*y = -3. Let s(g) be the first derivative of -3*g**2 - z - 8\/3*g**3 + 2*g. Factor s(f).\nAnswer: -2*(f + 1)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**2 - p**3 - 2*p**2 + (-6*p + 24*p + 3*p)*(-3*p**2 + 5*p**2 - 4*p**2).\nAnswer: -43*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -22*w**2. Let p(m) = -11*m**2. Calculate 11*p(a) - 6*q(a).\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75084, -75148, -75212, -75276?\nAnswer: -75340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 1, r: 1}. Give prob of picking 1 t and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -5*n - 3. Suppose -n*r - 2*r = -166025. Let y = r + -10105. What is y rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4 + 68*z**3 - 320*z**2 + 256*z.\nAnswer: -4*z*(z - 8)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**3 + 3*o**2 + o + 1. Let b be (-7)\/2 + 45\/30. What is p(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-296)\/(-192)*6)\/(29\/(-116)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from xnlmxnlrmrsnml.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14349, 28411, 42471, 56529, 70585, 84639?\n\"Answer: -v**2 + 14065*v + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3*n + n**3 + n**3 + 4*n**4 + 3874*n**2 - 3874*n**2 to the form m*n**4 + t*n**3 + d*n + x + c*n**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*k + 12 = 34, 14*k = 29*k - 75. Let y be 148\/2 + 1 + -2. What is the greatest common divisor of i and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 5:32 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*c**2 + 6147*c - 18586*c + 6215*c + 6224*c.\nAnswer: -55*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3883 + 0.0883. What is the smallest value in 35, h, -0.02?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -21*l**2 - 11*l**2 + 61*l**2 - 12*l**2 + 24 - 19*l**2 + 57*l. Determine f(29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 120 and -0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -3*q + 11, -45*g + 3 = -42*g for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 28*w**3 - 5*w**2 + 3*w. Calculate q(2).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2111 divide 627191063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*((-3 + (sqrt(208) + 1)**2)*1 + 1))*-4 + 1.\nAnswer: -3299 - 128*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + v - 40 = 0. Suppose 12*g - 84 - 36 = 0. Calculate the lowest common multiple of g and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 6:55 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -17. Suppose -2*l = -g*s - 3 - 28, 4*l + 5*s - 137 = 0. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 5, -5, 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 9 = -0*c. Solve 0 = -2*y + c*y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 54566 - -6166?\nAnswer: 64065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3498 - -3496. Let z = -5 - -2. Let g = -3.2 - z. What is the smallest value in 3, g, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 75*z - 1065. What is m(14)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -145 + 444. Calculate the greatest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 62. Let g = o - -64. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-6)\/9)*-3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((9 - 5 + 4)*(-4*l**4 - 5 + 5) + (-4 + 4 + l**3)*(4*l - l + 0*l))*(4 - 2 - 1).\nAnswer: -29*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260711284.\nAnswer: 2, 65177821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 + 81. Calculate the greatest common factor of 208 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7427, -7605, -7781, -7955, -8127, -8297, -8465?\nAnswer: -8631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 3*i + 8*i.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81100 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 219517\/3 + -73178. Let k = 105 - 109.3. Let m = 4 + k. Which is the second smallest value? (a) 0.2 (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21040 or 13820?\nAnswer: 13820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 6*f**2 - 45*f + 3. Let x(i) = -7*i**2 + 45*i - 4. Give 6*n(s) + 5*x(s).\nAnswer: s**2 - 45*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -2 + (-6 - 0 - -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285 + 288 = 5*j - 3*h, -2*j - 5*h - 5 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2918 (base 15) to base 14\nAnswer: -32c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/(-480))\/((-2)\/(-36)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 11066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 385 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.58, 6\/5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5673 + 54320. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1270, 1310, 1406, 1582, 1862, 2270?\nAnswer: 2830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2410544 greater than or equal to -2410544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -8 + -6 + -4 + -4 + 2 + 4?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 40 + -13. What is the remainder when s is divided by (-2)\/((-2)\/(-20)*-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9800000 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -671 + -2107.\nAnswer: -2778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.422 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 24707129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 47 (b) 207.4 (c) -50 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 784*h**2 + 3*h + 15. Let j be r(-5). What is j rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 0)*(6*m**2 - 3*m**2 - 2*m**2) - m**2 + m**2 + m**2 - 301 - 41*m**2 + 301 + (m + 2*m - 2*m)*(-m + 2 - 2) to d*m**2 + p + k*m and give d.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -887*v - 1445*v - 6795 = 23*v + 270 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ighg when four letters picked without replacement from hhihhhhhhiggh?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/24)\/(2\/63). Calculate the greatest common factor of z and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4743419, -4743389, -4743359?\nAnswer: -4743329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -12, 18, -3, 14.6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.8349?\nAnswer: -4.1745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6929058\/29 or 238932?\nAnswer: 6929058\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) 0.06 (c) 0.02 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36254 or 36278?\nAnswer: 36254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 8*y**2 - 18*y - 36. Let c be f(-6). Solve d + 10*d - 33 = c for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from {j: 1, i: 2, u: 1, s: 1, l: 1, e: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 2*i - 2*i)*(i**2 - 1 + 1) - 5*i**4 - 8*i**3 - i**4 + i**2 + 9*i**4.\nAnswer: i**4 - 8*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 332*m**3*r + 2*m**2*r**3 - 3*r**3 + 5*r wrt m.\nAnswer: 996*m**2*r + 4*m*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*w = 16, 2*f = -w - 4 - 5. Let u be (f - 2) + 5 + 2. Let v(b) = b**2 - b. Let q(z) = -5*z**2 + 4*z + 1. What is u*v(l) + q(l)?\nAnswer: -2*l**2 + l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -244*x**3 + 2*x + 4*x + 247*x**3 wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 16. Let z(b) = -2*b - 3. Does 4 divide z(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/2*20\/(-12). Let n = -3 + x. Suppose -v - 3 = 0, -4*u - 2*v = v - n. Solve s + 4 = -3*z, 0*s = -z + s - u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 1 - 13)*(0 + 0 - 2*s) in the form f + j*s and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(120\/(-112)) + -2.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 17 = -h, -1 = 2*c + 2*h + 1. Let v = c - -6. Let y(p) = -5 - 5*p**2 + 4 - p**3 - p - v*p. Determine y(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpww when four letters picked without replacement from {p: 1, w: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/9 + 358*i**3\/9 + 4*i**2\/9 - 1432*i\/9.\nAnswer: -i*(i - 358)*(i - 2)*(i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/3 + 81736*q - 2505290136 = 0.\nAnswer: 61302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37147 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-72*n**2 - 11*n**2 - 8*n**2)*(-5*n + 2*n - 9*n).\nAnswer: 1092*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -24*m**2 + 81*m - 24. Let o(v) = 3*v**2 - 10*v + 3. Let r = 225 + -192. Let w(g) = r*o(g) + 4*a(g). Let w(n) = 0. Calculate n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 13661\/16366?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 1536 = 384. What is the greatest common factor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 29*b**2*x + 3*b**2*z - b**2 + b*x*z**3 - 18*b*z**3 wrt x?\nAnswer: 29*b**2 + b*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-28))\/j*j)**(2\/29) assuming j is positive.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 25344, 38398, 60154, 90612?\n\"Answer: 4351*k**2 + k + 20992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72 - -27?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 686.14 - 693. Round o to one dp.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7883 - 1017. What are the prime factors of v?\nAnswer: 2, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -243*h - 52000. Give t(-214).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of q**4\/12 + 7*q**3\/6 + 3*q**2\/2 - q. What is the tens digit of z(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*h - 96, 5*h - 81 = 3*h + 3*x. Let f = h + -21. Solve -5*v = 3*i + 15, -2*v + f = -7*v - 4*i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4370.8218 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 87 and 2215244700.\nAnswer: 2215244787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 2 - 3)*(2 + 1 - 1) - 3 + 6 - 2 - 3 + 3 - 1)*(-110 + 110 - 15*c)*(-2*c + 4*c - 4*c)*(-9 - 3*c**3 + 9).\nAnswer: -180*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5451 divided by 23.\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8166884.\nAnswer: 2, 11, 19, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Suppose 0 = v*x - 7*x. Suppose 63 = -x*z + 3*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*h - 48*h + 3099 = 923 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4536 by -21.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 + -29)\/24*2*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyai. Give prob of picking 1 i and 1 a.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118 + 115 = x, -4*x = 2*c - 2 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/14)\/(240\/(-22680)). Which is the fourth biggest value? (a) -0.2 (b) j (c) 5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 1. Let g(x) = 5*x - 6. Let o(w) = g(w) + 6*j(w). Let h(c) = 2*c**2 + 8. Let k(l) = l**2 + 3. Let u(s) = -3*h(s) + 8*k(s). Determine o(u(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -20*c**4 - 848*c**3 - 9936*c**2 - 19840*c - 6400 = 0.\nAnswer: -20, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d + 6 = 0. Let j(z) = -25*z**2 - 6*z + 8. Let g(v) = 25*v**2 + 5*v - 9. Let q(l) = d*g(l) - 5*j(l). Find the first derivative of q(p) wrt p.\nAnswer: -50*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -662 (base 8) to base 2.\nAnswer: -110110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 7:21 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3186, -3181, -3176, -3171?\nAnswer: -3166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1834 + 490 = 20*y - 34*y. Find k such that -256 - 1\/2*k**3 - y*k - 12*k**2 = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**5 + 38*y**4 - 384*y**3 + 934*y**2 - 863*y + 276 = 0. What is y?\nAnswer: 1, 12, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*l = -87*l - 1175. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*((-4 + 2*sqrt(612) + sqrt(612))*-4*1 + -3) + 5)*5)**2.\nAnswer: -1260000*sqrt(17) + 55202500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.5 and -56134759.\nAnswer: -56134751.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19761 - 19769. Which is the closest to 0.4? (a) -2\/11 (b) f (c) 82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 27*a**2 + 32*a - 134. What is v(25)?\nAnswer: 1916","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1520203291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*x**3 + 106*x**3 + 103*x**3 + 113*x**3 + 14*x + 8*x.\nAnswer: -3*x**3 + 22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 259 or 4\/3?\nAnswer: 259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)*h**(-5\/9)\/h)**(-21)\/((h*h**(-2)*h*h)**(1\/2)*(h**(2\/7))**39) assuming h is positive.\nAnswer: h**(1765\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19103792009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8894059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 306641*r**2 - 8. Let n(j) = 8*j. Calculate n(b(a)).\nAnswer: 2453128*a**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*1*-1 + sqrt(117) + ((sqrt(117) - 2*sqrt(117))*6 - sqrt(117)))\/(sqrt(324)*1 + (sqrt(9) - sqrt(324)*1)).\nAnswer: -7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29299, 29305, 29323, 29359, 29419, 29509?\nAnswer: 29635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4999, -5007, -5013, -5017, -5019, -5019, -5017?\nAnswer: -5013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 29 = -0*w - 2*r, 5*w - 40 = -5*r. Let y = -4 + w. Let z = 0.23 - 0.03. Put y, 1, z in decreasing order.\nAnswer: y, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-60)\/(-16)*2*2. Is u > 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*a - 23*a - 8*a - 894)*(2*a + 0*a + a).\nAnswer: 6*a**2 - 2682*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 69, -45, -251, -507, -771, -1001, -1155, -1191?\n\"Answer: 7*q**3 - 88*q**2 + 101*q + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of 2*x**5 - x**4\/4 + x**3\/3 + 6*x. What is the tens digit of h(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 206034 (base 7) to base 9\nAnswer: 53863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -57*c - 53*c + 3 - 105*c + 221*c. Let t(w) = w. Calculate o(y) - 5*t(y).\nAnswer: y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmxmmmmxmmmmmxmmmx. What is prob of picking 2 m and 1 x?\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 22?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/5 in 0.2, 1\/2, -0.3, -2\/15, -758?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -126 * -0.1\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeyy when four letters picked without replacement from {e: 9, y: 5}?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**3 - 902*z**2 - 34515*z. Give d(-45).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (23 - 16) + -1 + (-55 - 61)\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2. Let u(l) be the second derivative of 0 + 0*l**2 - 4*l - 25\/6*l**3. Give a(u(j)).\nAnswer: -625*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-7) - (-40)\/(-91). Put -5, q, 0.4, 4\/7 in decreasing order.\nAnswer: 4\/7, 0.4, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 14*r - 26. Let f be s(16). Suppose 0 = -2*b - 0*b - 4*w + 14, 3*b = 3*w - f. Are b and -2\/131 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -4 (c) -25440\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 11*c + 14. Let w be o(12). Let q(u) = u**2 - u - 2. Let a be q(w). Solve a = -t + x + 3*x - 7, -8 = 2*t - 5*x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16174 - 8262 = 14*w - 46828. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18523, 74062, 166621, 296200, 462799, 666418, 907057?\nAnswer: 1184716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + m + 27. What is i(0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -147 divided by -83?\nAnswer: 147\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 12:47 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 781*y**3 + 58*y**2 + 2*y - 8979291 wrt y?\nAnswer: 2343*y**2 + 116*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*c + 2. Let s be c - (-2 + 1) - -3509996. What is s rounded to the nearest one hundred thousand?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 19*o**2 + 11. Let x be k(-19). Suppose 4*j - 844485 = -x*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -474, 1083, 2640, 4197, 5754, 7311?\nAnswer: 8868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 times 0.2?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38\/7? (a) 0.4 (b) -13.274 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 8 + 13628*s - 13606*s + 6.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1.2. Let o = 4.972 - -0.028. What is the nearest to -0.1 in 0.1, a, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 591808691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21 - 311242?\nAnswer: -311263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/170 and -92\/765.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 25 = 7*z. Let b(s) = -s**3 + 4*s**2 + 7*s - 3. Let f be b(z). Solve -f - 20 = -u + 5*r, 0 = -5*u - 4*r - 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2026, 328, -1 in increasing order.\nAnswer: -1, 328, 2026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1463, 1474, 1471, 1448, 1399?\nAnswer: 1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 39*g - 1887. Let c be v(49). What is the highest common factor of 19416 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 36*q - 3. Let l(d) = d**2 - 60*d + 5. Let x(j) = 3*l(j) + 5*t(j). Let z(b) = 148*b. Determine x(z(h)).\nAnswer: -43808*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 - 53. Find the common denominator of q\/(-33) - (-2 - -4) and (4\/2 - (-76)\/(-5)) + 3.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 4, 1889, -29, -5 in increasing order.\nAnswer: -29, -5, -3, -1, 4, 1889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1911867 + -0.2?\nAnswer: 1911866.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 12. Suppose 6*u = 64 + 2. What is the greatest common factor of u and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 5004?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u - 3. Suppose 5*f - 47 + 2 = 0. Let n(x) = -x**3 - 8*x + 13. Let j = 179 + -157. Suppose 25*d - j*d = 6. Determine d*n(v) + f*h(v).\nAnswer: -2*v**3 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 582*o - 571*o = 6864. Calculate the least common multiple of 27 and o.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, j: 1, y: 3, t: 2, m: 4, i: 3}. Give prob of picking 2 m and 2 t.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 9*d + 6. What is the units digit of f(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(238\/714).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1*1\/(-3))\/((-5)\/(-90)). Let l be o - (3 + -3 + 3). Suppose -l = -2*j + j. Solve -5*m - 2*q = -q - 22, -j*m = -4*q - 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and -5 - (-1389 + 10)\/7?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 556423580 divided by -145.\nAnswer: -3837404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8809787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1360 = -26*o + 16*o. Let i = o + -91. Let z be 4\/2 - (-28 + 0). Calculate the highest common divisor of z and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 31*c - 5. Let y(l) = -8*l + 1. Let x(r) = 2*q(r) + 9*y(r). Let s(i) = 45 + 8*i - 43 + 12*i. Let j(h) = 2*s(h) + 5*x(h). Determine j(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 3*z + 3*z)*(-2*z + 2*z - z**2) - z**3 - z**3 + z**3 - 9*z**3 + 3*z**3 - 13*z**3.\nAnswer: -22*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/44 and 43\/209946?\nAnswer: 419892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 795427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g = 116610 - 116160 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -0*o + 4. Let g be ((-24)\/o)\/(-6) - 134\/(-1). Suppose -4*b - 48 = -3*a + 33, -g = -5*a + 3*b. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**4 + n**2 - 20*n + 14*n + 2*n**2 + 2 + 28*n**3 + 0*n**4 + 9*n as z + t*n + u*n**2 + y*n**3 + k*n**4 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 547932 by 2372.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11388 + 22775 + 151*c - 11389.\nAnswer: 151*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5972?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 3*o + 6. Let w be k(-5). Put -2, -3, w in descending order.\nAnswer: -2, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k + 1. Let r be m(-1). Solve 10 = -r*g + 3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 26*u - 38. Let d be (9\/12 + (-123)\/12)*-2. Let l be a(d). Let h = 250 - l. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - 8*l**2 - 2*l - 14. Let x be b(6). Let t = x - 85. Is t a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2075, 2100, 2165, 2288, 2487, 2780, 3185?\n\"Answer: 3*q**3 + 2*q**2 - 2*q + 2072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 6*r - k = 16, r - 5 = 2*k. Find a, given that 1\/5*a**r - 3\/5 - 1\/5*a**2 - a = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706991 is divided by 88.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -12609 to the nearest 100.\nAnswer: -12600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - 18. Let u = 24 - q. Calculate the greatest common divisor of u and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 799 is divided by 242.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 370780 is divided by 52.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -46*s + 25 - 25. Let v be 2\/(-4) + (-1)\/2. Is 13 a factor of f(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4531883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 2 + 8. Let d = b + -6. Is (-4074)\/(-49) + d\/7 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(17)*3)**2*3.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -17496*a - 979783. Calculate q(-56).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 251*z - 6. Let y(w) = -84*w + 3. What is -4*p(q) - 11*y(q)?\nAnswer: -80*q - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113946 is divided by 265?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (((sqrt(209) - sqrt(209)*-1) + sqrt(209))*4)\/sqrt(11) + (-1 + sqrt(2736))*-4 + 0)**2*4.\nAnswer: -1440*sqrt(19) + 98596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -51*m - 678 - 1158 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -33, -57, -69, -63, -33, 27, 123?\n\"Answer: g**3 - 31*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 + 3 - 1) - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -461*g - 6901. Let f be r(-15). Let a(o) be the first derivative of -10\/3*o**3 + 26 - 13*o**2 - f*o + 1\/2*o**4. Factor a(s).\nAnswer: 2*(s - 7)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -20.945. Let q = -0.134 - r. Let c = q - -0.2. Round c to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m + 4. Let y(z) = -z + 2. Let o = -1 + 4. Let n = o - 3. Suppose -d - v = d - 11, n = -5*d - 5*v + 35. Determine d*i(h) - 9*y(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/((-80)\/(-55)) + (-2)\/(-8). Suppose v - 4 = -i*n - 3*v, 2*v - 14 = -3*n. Suppose 0 = n*s + 4*s - 84. Calculate the remainder when 13 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1370 is divided by 649.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 + 71*z**2 - 3*z + 7*z + 18*z**2 + 443 - 453 to the form k + w*z**2 + j*z and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 0*r = -2*c - 11, -r = -518 + 519 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-14\/5))\/(g*g\/(g\/(g**(-6)*g))) assuming g is positive.\nAnswer: g**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 u, and 1 e when three letters picked without replacement from meyueu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 141 + 76 = 49*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -4*n**5 - 2959080*n**4 + 5918172*n**3 - 2959088*n**2 = 0.\nAnswer: -739772, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.012182 - 19.\nAnswer: -19.012182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a = -35*a - 12. Suppose -5 = -3*v - 2*o, o + 9 = a*v - 5. Suppose 0 = 5*f + 40 - 15. Put 1, v, f in descending order.\nAnswer: v, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6585643.\nAnswer: 6585643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**3\/5 - 396152*l**2\/5 + 792292*l\/5 - 396144\/5 = 0. Calculate l.\nAnswer: 1, 99036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 37*i + 88. What is r(45)?\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782825 is divided by 352.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or 94262?\nAnswer: 94262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/(76\/190)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - q - 1. Let k(w) = 15*w**2 + w + 2. Let i(c) = -k(c) - 3*s(c). Suppose 8*b - 15*b + 28 = 0. Suppose a - b*a = n + 8, 9 = -4*a - n. Give i(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 4:34 AM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 0 + 1683\/(-165)\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5798*b*j**2*r**3 + 15*b*j**2*r + 15*b*j*r**3 + 9*b*j + 6*j + 2*r**3 wrt j.\nAnswer: 11596*b*r**3 + 30*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 306*-72577\nAnswer: -22208562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f + f)*(64 - 4 - 3)*(-3 + 6*f + 3)*((5 - 1 - 5)*(2*f + 0*f - 3*f) - 1 + 2*f + 1 + 0*f + f - 2*f)*(2*f + 0*f + f).\nAnswer: -2052*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6948)\/(-1158))\/((-5)\/(-8)*(-3)\/(-15)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 44585, 356206, 1201933, 2848820, 5563921, 9614290, 15266981?\n\"Answer: 44509*s**3 - s**2 + 61*s + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 560282.3km?\nAnswer: 56028230000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + 3*u - 4*u)*(-10610 - 90*u + 10610) - 3 + 2*u**2 + 0*u**2 + 1.\nAnswer: -178*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4))**(-46)\/((i**(-33)*i)\/(i\/(i*(i*i**(2\/7))\/i)*i)) assuming i is positive.\nAnswer: i**(619\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of a**5\/12 + a**3\/6 - 5770*a**2. Let z(b) = -48*b**2. Give g(z(r)).\nAnswer: 11520*r**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -2*v**6\/15 + 4*v**5\/5 - 2*v**4\/3 - 8*v**3\/3 + 6*v**2 + 11*v. Factor f(i).\nAnswer: -4*(i - 3)*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-308)\/(-3) + 2\/6. Suppose -b + 12 + r = 0. What is b rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = -0*y + 9*y - 313404. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 32 (b) 4 (c) 7\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, 5 in decreasing order.\nAnswer: 9, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.084, 20, -55, -5, 1 in decreasing order.\nAnswer: 20, 1, 0.084, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -8 - (-7 + (-1 + -5 - -6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 127.5749 millilitres?\nAnswer: 0.1275749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2598.14 to the nearest 100.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -804 - -802. Sort -48, 1, -3, u in increasing order.\nAnswer: -48, -3, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 90240130 and -67836?\nAnswer: 90307966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 7*p - 7 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 5*w - 9. Let g(h) be the third derivative of h**4\/8 + h**3\/3 - 5*h**2. Let x be g(-2). List the prime factors of m(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.005 and 455.\nAnswer: 2.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.36 + 0.04. Let f = -1687 - -1686.9. Which is the nearest to 0? (a) 2\/17 (b) s (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of -123*r**5\/10 + 221*r**4\/12 + 2*r + 62. Find the third derivative of j(h) wrt h.\nAnswer: -1476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*n - 7*n - 2*n**4)*(225 + 115 - 40) in the form m*n**2 + q*n**4 + s*n + p*n**3 + i and give q.\nAnswer: -600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n + 654 = 17*n. Let u = n + 120. What is the greatest common divisor of 88 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 46*v - 49*v, 2*x - 4*v = 18 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -110653 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.11 and -38.\nAnswer: -38.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*d = 49*d. Let z(v) be the first derivative of 2*v - 1 + d*v**4 + 0*v**3 + 1\/5*v**5 + 0*v**2. What is the derivative of z(t) wrt t?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/(-4) + -2)\/(9\/(-588)) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*l + 2. Let o(s) = 6*s**2 + s. Let w be o(l). Let i(r) = -w*r + r - r**2 + 4*r. Let b(x) = 2*x**2. Determine i(b(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 3*z**2 - 2*z + 3. Let c(s) = s - 1. Let v be c(-2). Let y be w(v). What is the greatest common factor of y and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + q + 3*q)*(-5 + 5 - 2)*(-2 + 3 - 3).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/62*-1*(-3)\/(-9)*3.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2700) - ((sqrt(2700)*-2)**2 + sqrt(2700)) - sqrt(2700) - sqrt(81)\/sqrt(12) - (-4 + sqrt(2700)*-2 + (sqrt(2700) + 0 - sqrt(2700)) + 1))*6.\nAnswer: -64782 + 171*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 322.1 - 297. Let w = 25 - q. Which is the second biggest value? (a) 0 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -549, -553, -541, -513?\n\"Answer: 8*d**2 - 28*d - 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*c + 52 = 61*c - 32 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6576*f + 355101. Determine c(-54).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, u: 4, x: 1}. Give prob of picking 1 u and 3 m.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*u = -17381 + 17527. Solve -1 + 1\/6*l**u - 5\/6*l = 0 for l.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(11\/6)*u*u*u**8)\/((u*u\/(u*u**(-12)*u))\/u*u\/(u\/u**(-42))) assuming u is positive.\nAnswer: u**(257\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n - 5*n + 43*n + n - 60*n + 22*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(1\/3))**35*v**2*v**(-10))**(-4\/7))**(-2\/19) assuming v is positive.\nAnswer: v**(88\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 2*h - 17 = -5*y, 2 = 2*y. Suppose -7*m + 80 = -h*m. What is the greatest common divisor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i**2 - 30*i + 24. Let y(z) = 5*z**2 - 30*z + 30. Let s(r) = -6*c(r) + 7*y(r). Let x be s(-31). Are 390\/11 and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19*(-156)\/2223)\/((-78)\/27)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4036, 8055, 12074, 16093, 20112?\n\"Answer: 4019*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/(-2))\/(4\/(-8)). Let y = -2 - l. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/49, -0.11, 7558\/7 in descending order.\nAnswer: 7558\/7, -2\/49, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26, -259, -898, -2147, -4210, -7291, -11594, -17323?\nAnswer: -24682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 26 + 29 = 0. Sort 0, o, -4 in increasing order.\nAnswer: -4, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 519001.5 years to centuries.\nAnswer: 5190.015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 j when three letters picked without replacement from nsjknksnks.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-3)\/7)\/3*176\/44\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (8 + 5) - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -325*c**4 - 182 - 1875*c + 3327*c**4 + 1930*c + 188 wrt c?\nAnswer: 36024*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 426 divide 26986248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000017686 rounded to six decimal places?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y = -240. Suppose 0 = 2*k + q + 23, 1 = 5*k + q + y. Let m be (2*-1)\/(6\/k). Solve b - 25 = -m*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 3*x, -53*x = -48*x + 3*l - 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -312 (base 13) to base 12\nAnswer: -376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359 a factor of 2262989133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*((-1)\/3 + 1). Let q be (-34)\/(-4) + (-4)\/h. Let a = 25 - -11. What is the highest common divisor of a and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -u + 45. Is (u\/6)\/(5\/15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*6*(-17)\/(-34). Find n, given that 10\/13*n**k + 4\/13*n**2 + 0 + 0*n = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - g**2 - g - 9. Calculate the least common multiple of n(3) and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((38 + 2)\/(-8))\/(-1). Let p = -32 - -65. Let q = 32.8 - p. Sort -3, q, -5, u.\nAnswer: -5, -3, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -11. Let l = -4 + p. Which is the second smallest value? (a) -1\/5 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -3 (b) -0.2 (c) 0 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 250*h**2 + 248*h**2 + 0*h**3 + h**3 - 438*h**2 - 64*h.\nAnswer: 4*h*(h - 1)*(h + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22938?\nAnswer: 2, 3, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 35250\/(-7665) - (52 - (-113940)\/(-2190))\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14886\/74455 - -1\/14891. Suppose -3*q - 63 = -2*q. Let h be 1\/2 + q\/70. Which is the second smallest value? (a) h (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 181622*r**2 + 133479*r wrt r.\nAnswer: 363244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*r**3 - 20081645406397*r**2 + 20081645406397*r**2.\nAnswer: -88*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43 or -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129831549?\nAnswer: 3, 647, 66889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, 5, 32, 57, 80, 101, 120?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 777415, 1554686, 2331957, 3109228?\n\"Answer: 777271*g + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 368023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*k + t - 119, 4*k = -2*t + 94. What is the greatest common divisor of 69 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 3*y - 0*y - 2*y + 5*v + 33, 0 = 5*v + 19 + 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23240910691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4634 and 0.3.\nAnswer: -1390.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 4*v**2 - 6*v - 25. Calculate l(-6).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -58.\nAnswer: -5\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 0*a - 2*a)*(-670 - 705 + 1301).\nAnswer: 74*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -4*u**3 + u**2 - 3*u - 1. What is m(-2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 - 61 - 367 + 3*h**2 + 4*h**2.\nAnswer: h**2 - 428","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by 18?\nAnswer: 13\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Let z be 849\/312 + 6\/48 - 3. Let s = -23 - -22. What is the nearest to s in z, h, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 7*t**3\/2 - t**2\/2 + 18*t - 5. Let f(u) be the first derivative of u**2 - 1. Give f(d(v)).\nAnswer: 42*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 25*d**2 + 84*d + 3. Let b be x(21). Let v be ((-4)\/48)\/(b - (-14)\/(-4)). Suppose -1 + 1\/6*a**2 + v*a = 0. What is a?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*b + 32*b = 79*b + 4920 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -16785, -33578, -50371?\n\"Answer: -16793*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 3*sqrt(264)\/sqrt(24)*6)**2.\nAnswer: -36*sqrt(11) + 3565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (6*(sqrt(243) + 0 + sqrt(243) + 3))**2.\nAnswer: 3888*sqrt(3) + 35319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11712 and 112?\nAnswer: 81984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 32169.79 micrograms?\nAnswer: 0.00000003216979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*r**3 - 1 - 349731*r**4 + 349729*r**4 + 2*r**2 + 0*r - 2 - 6*r - 2 to s*r + j*r**2 + n + u*r**4 + c*r**3 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = s - 23, -8 = 15206*s - 15207*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/9251 and 55\/1682.\nAnswer: 18502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 4. Let v(w) = w - 1. Suppose 0 = -5*f + n - 0*n + 26, 4*n - 10 = f. Suppose f*x = -4 + 10. Determine x*r(o) - 2*v(o).\nAnswer: -3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3. Let s = j + 2. What is the units digit of 2*((0 - 1) + s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -214, -209, -204, -199, -194?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**2*g**3*l**2 + b**2*g**3 - 12*b**2*g**2*l**3 + 21*b**2*g**2*l**2 + 8*g**3*l**3 wrt l?\nAnswer: -72*b**2*g**2 + 48*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3455652475.\nAnswer: 5, 11, 17, 43481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 9*s + 10 = 0. Suppose -q - 3 = -s*q. Let w(z) = -z**2 - 6*z + 11. Let j be w(-8). Sort -4, j, q, 2 in decreasing order.\nAnswer: q, 2, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 727 by -1.\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21763703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176762276?\nAnswer: 2, 149, 296581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 - 324*s**3 - 6720*s**2 - 6400*s.\nAnswer: -4*s*(s + 1)*(s + 40)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 120.7912*-0.1\nAnswer: -12.07912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/28 + 24\/14. Let z(l) = -2*l**2 + 5. Let h(m) = m**2 - m - 1. Let x(r) = -3*h(r) - z(r). Give x(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*c + 67*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Calculate the remainder when 655324 is divided by 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the third derivative of -3*y**6\/40 + 5*y**4\/24 + 11*y**2. Find the second derivative of c(v) wrt v.\nAnswer: -54*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103222032 + -3?\nAnswer: -103222101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22684\/15*x + 170\/3*x**2 + 5618\/15 + 8\/15*x**3 = 0 for x.\nAnswer: -53, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 1:06 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 - -59. Let i be ((-22)\/3)\/(1*w\/18). Suppose -z - i = -12*z. Solve -2*c = -0*a - z*a + 9, -2*c = -a + 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - 2*a**2 + a**2)*(10*a**2 - 13*a**2 + 10*a**2) + 0*a**4 - a**4 + 0*a**4 + 40*a**3 - 35*a**4 - 41*a**3 + 4 - 3.\nAnswer: -50*a**4 - a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a. Let k(w) = -w + 10. Let y be k(8). Suppose 4*m = -4*n + 16, n = -y*m - 3*m + 4. Suppose -5*l = d + n, -l = -5*l - 8. Determine x(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 1\/9*z**3 + 2 + 0*z - 1\/6*z**2. Factor j(s).\nAnswer: s*(s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 - 3*v**2 + v**2)*(-8*v + 19 - 19)*(-1 + 0 + 0)*(v**2 + 1 - 1).\nAnswer: -24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2 + 2*k - 3*k + k. Let a(y) = y**3 + 17*y**2 + 14*y + 14. Let m be a(-16). Let b(j) = -45*j + 132*j - m*j - 42*j. Give l(b(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -4266231\/7 at most as big as -609461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11, -29, -83, -191, -371, -641, -1019, -1523?\n\"Answer: -3*m**3 + 3*m - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2. Let i(d) = -814*d. Determine i(x(p)).\nAnswer: 814*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 26?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134472 is divided by 1171?\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 13*c + k + 13 = 0, 2*c + 5*k - 61 = 0. Solve c*n = 19*n - 5*j + 26, 5*n - j = -10 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.6 - -3.48560831624?\nAnswer: -12.11439168376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2.590919 + -0.13388472\nAnswer: 2.45703428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -1.808954\nAnswer: -3.617908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(4800) - 2*((2*sqrt(4800) + sqrt(4800))**2 + sqrt(4800))).\nAnswer: -86401 - 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.207 + 0.107. What is the closest to 0.3 in 1, 0.4, x, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -d**6\/6 + 5*d**4\/4 + 5*d**3\/3 - 2*d. Factor o(v).\nAnswer: -5*v*(v - 2)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -506 - 500 + 16*i**2 + 1006 + 3*i**2. Let a(m) = -285 - 6*m**2 + 285. What is a(z(r))?\nAnswer: -2166*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17613931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6732 and 4880700?\nAnswer: 4880700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 9 + 9*h + 17 + 11 - 39.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 4*r + 1. Let n be f(1). Suppose 83 = n*w - 77. Let i = -6 + w. Does 12 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -31. Let m = 2 - d. Solve 3 = -5*f + m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 6*z**2 + 5. Let x be b(6). Suppose 4*w - 6*w + x*u = -22, 5*u = -5*w - 15. Suppose 2*t + 9 - w = 0. Sort 5, t, 3.\nAnswer: t, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h**2 + 16*h - 5. Let f(z) = -z**2 + 4*z - 1. Let t(p) = 9*f(p) - 2*i(p). Let n be t(-9). What are the prime factors of n\/10 + 4\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 5*s**2 + 4*s - 1. Let v be p(-4). Let k be 48\/8 - v*1. Let j = k - 7. Which is the nearest to 0.1? (a) -0.2 (b) j (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 0.1 (c) 1\/3 (d) 637.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608 = 5*r + 3*v - 12, -4*r = -2*v - 496. Is 30 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 331, 159, -237, -953, -2085, -3729?\nAnswer: -5981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08945 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 22*l + 31. Determine j(-5).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*d - 1249 = 0, 2*o + 2*o + 1666 = -3*d. Let s = 660 + o. Suppose 0 = f - 6*f + s. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 - -5)\/2 + 2. Solve -7 = b*h - 19 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.031 (b) 1133 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 119, 205, 325, 491, 715, 1009, 1385?\nAnswer: 1855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17619665 less than 17619664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 122122?\nAnswer: -122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*k - 130716000 = 120*k. Round k to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -0.3, -594, -1, 15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -69 times 0.12\nAnswer: -8.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/48)\/((-2)\/30). Solve 21 = 3*g + 4*x, -y*x + 0*x = -2*g - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g, 6*h - 2*g = 2*h + 20. Let k(t) be the first derivative of 7*t**2\/2 - 6*t - 1. Let x = 40 + -34. Let c(d) = -6*d + 5. Calculate h*k(l) + x*c(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 - 29589100*o**2 + 118356340*o - 118356320.\nAnswer: 5*(o - 5917816)*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-18))\/((-2)\/8). Suppose -o - 8 = -4*n, -4*o = -0*n + 3*n + 13. Is m not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, b: 1, x: 1, e: 1, v: 5, w: 6}. What is prob of picking 1 l and 3 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 2*f + 2*t + 97, t = 4*f - 121. Suppose f*v - 21*v = 3640. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + 12*o + o + 21*o - 6 - 2*o**2.\nAnswer: -2*o**2 + 34*o - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 7*t**3\/4 - 1345*t**2\/2 - 1159*t + 386 = 0.\nAnswer: -2, 2\/7, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -1932\nAnswer: 3864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.452 + -0.548. What is the second smallest value in -9\/2, 28, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 divided by 2\nAnswer: -67\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {y: 1, z: 2, b: 2, h: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78*d**3*m - d**2*m + m + 225 with respect to d.\nAnswer: -234*d**2*m - 2*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-12))\/g)\/g*g**15)\/(g*g*g*g**(-11)*g*g**(-2)*g) assuming g is positive.\nAnswer: g**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/25*1770\/3717\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.86 + 0.14. Let l = 14.11 - 14. Which is the second smallest value? (a) -2\/3 (b) u (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a gram in milligrams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -845*k**2 - 2*k + 8. Let w be q(2). Is 12 a factor of -1*(-6)\/(-21) + w\/(-56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + 281?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2360*r**2 + 4*r - 6. What is the hundreds digit of g(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31815\/399 + (211 - 291)?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((-53 - (10 + -12)) + -10 + 13 + 8).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 3*f + 15 + 9 = 9, 15*f + 135 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/8 of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -25862.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9196996472\/4855 - -1894335. What is the common denominator of -5\/3 and b?\nAnswer: 14565","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k**3 + 6*k**2 - 6*k**2 - 4 to c + g*k + b*k**3 + f*k**2 and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.203*-0.2.\nAnswer: -0.0406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-35)*644\/(-184)*70.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78325 = -605*n + 71715. Solve -268*k + n*k - 160 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yr when two letters picked without replacement from ryhvry?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 12 + 15 + 2 - 5.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, 24, 275, 772, 1599, 2840, 4579?\nAnswer: 6900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-3\/5)\/u*u**(2\/3) assuming u is positive.\nAnswer: u**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -15 + 9. Let g(x) = -2*x + 6. What are the prime factors of g(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/5 (b) -0.4 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is a8120 (base 11) in base 3?\nAnswer: 21222122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33143, -33135, -33127?\nAnswer: -33119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - f - 65. Give u(0).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7122925 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35345 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**2 - 4*m + 1. Let b = 5 - 2. Let a = b - 0. Does 17 divide t(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*c = 745339 - 746821 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1351 + 1350. Let u = -3679\/16 - -230. Which is greater: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -v - 85, 17 = -g - 11616041*v + 11616042*v for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 152 - 142. Suppose -d*q + 1323 = -6*q - c, q - 322 = 2*c. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4)*k*k**(-2)*k\/(k\/(k*k**(2\/11)*k))*k*k**(1\/5) assuming k is positive.\nAnswer: k**(-89\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(-3 + -2*(-1 + sqrt(162)))**2.\nAnswer: -3899 - 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, l: 2}. What is prob of sequence xlx?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 33*h**2 + 194*h + 6. What is the remainder when 380 is divided by m(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 5*m + 1. Let y(z) = -z - 4. Let t be y(0). Let o(a) = -4*a - 3. Let c be o(t). Let v = -9 + c. Give u(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/10)\/(6\/10). Let i = 557\/6 - 93. Let y = -0.1 - -0.1. What is the closest to k in y, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 640 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 + 260 = -133*v - 563 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1174 + -1116. Let a(i) = 19*i**2 + 2. Let o be a(2). Suppose 2*p + 3*u - o = 0, -3*p + 190 = -3*u + w. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgg when three letters picked without replacement from ppppxxpppggppxppp?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-20) + (-36)\/(-20). Let c(v) = v - 4. Let l be c(5). Let z be w\/(43\/(-45) + l). What is the highest common factor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1909 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8080 and 1080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 246 + -47. Let r = g + -56. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 963628993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h + 59*h = 745740. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vovoo. Give prob of sequence vov.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 = 2*j - 5, 4*j - 8 = 3*s. Let m = 5 - j. Suppose m*y = 66 - 60. Solve 7*r + 20 = y*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 50. Let w = -19 + s. Solve -w = -c + 6*q - q, 4*q = -2*c - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13520)\/(-1500720)*37\/(-27)?\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*g - 28*g + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25014299, 50028595, 75042891, 100057187, 125071483?\nAnswer: 150085779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.117*0.3.\nAnswer: 1.5351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 16. Let k be b(0). Let z be -6*1\/((-1)\/(k\/(-3))). Let w = z + -29. Solve -2*i - 3*c = -1, w*i + c + 3 = -2*c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 253 divided by 11\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3782973802.\nAnswer: 2, 1891486901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -67 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 2. Let m be u(1). Suppose 22 = -4*f + 6. Let y be 1\/f + (-9)\/12. Is y bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w. Let d(s) = 11*s**2 - 8*s. Calculate k(d(r)).\nAnswer: 22*r**2 - 16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(3 - 4) + -10. Let v(j) = -5*j + 1. Calculate v(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*h = -30*h - 216. Calculate the smallest common multiple of h and 114.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39.499982 + -39.5. What is u rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 0.05 (c) 2\/3 (d) -5 (e) -0.2 (f) 68 (g) -409\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222 (base 3) to base 10.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 12*m**2 - 22*m + 22. Let z be a(10). Suppose -5*p + 271 = -z*f, -p - 2*f + 0*f = -47. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*y - 191, 4*k = -5*y + k + 248. Suppose 2*r = -4*w + 22, -y = -5*r - 6*w + 2*w. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n**5 - 2*n**5 + 3*n**5 + (-4 + 4 + 2*n**2)*(0*n - 2*n**3 + 0*n).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ycyaaaiqgqqqq. Give prob of picking 2 q and 2 y.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7)*2*3)**2*-1.\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11620*f**3*i**2 - 7072*f**3*i + f**2*i wrt i?\nAnswer: -23240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-183)\/(-104))\/((-45)\/(-6) - 6) and -23\/20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from bbbbsbbbbsbbbbbsbb.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/51 and -41\/24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4003401?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 8. Let v(x) be the second derivative of 0*x**4 + 0*x**u - x - 1\/20*x**5 + 1\/3*x**3 + 0. What is the second derivative of v(b) wrt b?\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*l - 3*l - 2*l)*(54*l + 141*l - 317*l) + 3*l**2 + 5*l - 5*l as z*l + k + w*l**2 and give w.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 47399048 + -47399075.499707. Let g = 27.5 + m. What is g rounded to five dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*p = -5*p - 344. Let i(k) be the first derivative of -p*k**3 - 9 - 9\/4*k**4 - 6*k - 21\/2*k**2. Factor i(h).\nAnswer: -3*(h + 1)**2*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 46\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -278.8 rounded to the nearest ten?\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 115 + -264. Let r be 1\/14*4 + 149. Let v = r + u. What is the closest to v in 2, -5\/6, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29452 + 65354 = 1127*v + 157*v + 15198 for v.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -409*p - 1232*p - 16410 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -155428 smaller than 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.02 - 5. Let i = 0.02 - l. Suppose -2*n - n = -s + 12, -5*s - 4*n + 3 = 0. Which is the closest to -0.1? (a) s (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 1\/2*x**3 - 5*x - 9\/4*x**2 + 0 - 1\/24*x**4. Factor p(g).\nAnswer: -(g - 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/(-1161963)*97)\/(16\/(-22))?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 210 and 36876?\nAnswer: 184380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w = 5. Let q be (1 - 2) + (1 - w). Is 1 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 3592160940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + j + 2. Let i be b(0). Suppose -38*l - 2 = -39*l. What is the third derivative of -i*k**l - 2*k**5 + k**5 + 5*k**5 + 0*k**2 wrt k?\nAnswer: 240*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1096 by 193.\nAnswer: 1096\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1392, 1393, 1394, 1395, 1396, 1397?\n\"Answer: r + 1391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4240126kg to grams.\nAnswer: 424.0126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54*36\/(-58968))\/((-6)\/(-14)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 12085, 16709, 24415, 35203, 49073?\n\"Answer: 1541*r**2 + r + 10543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 16434821?\nAnswer: 115043747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 19.2616629 * -1\nAnswer: -19.2616629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 246b46 (base 12) to base 11.\nAnswer: 375270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + 0)**2*-6 + sqrt(288) + 0 + sqrt(288) + 2)*2 + 2.\nAnswer: -3450 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 7*q**2 + 3*q. Let g = -97 - -95. Let k be (-1)\/(2*1\/6). Let b be (-1 + k + g)*-1. Determine j(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 4 - 1 - 3 - 6*j to x*j + k and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 825594693?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2614653?\nAnswer: 3, 179, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18998 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*z)*(-3*z**2 + 5*z**2 - 3*z**2) - 4*z**3 - 2*z + 2*z**2 + z**2 + 8*z**3 as h*z**2 + p*z**3 + f + l*z and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -8447*q + 1. Let j(v) = v**2. What is j(r(l))?\nAnswer: 71351809*l**2 - 16894*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sr when two letters picked without replacement from {r: 3, s: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1051646 and 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2094671?\nAnswer: 83, 25237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 440\/989 (b) 0.62 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -391 + 391.00000236. Round m to 7 dps.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 0.2, -1663, -9 in decreasing order.\nAnswer: 2\/3, 0.2, -9, -1663","meta":{"dup_signals":{},"source":"comparison__sort_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: Sort 40\/11, -2\/9, -13, -1, 2\/7 in increasing order.\nAnswer: -13, -1, -2\/9, 2\/7, 40\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 2*n - 5. Suppose 3*h + 0*h = 12. Let p be d(h). Suppose -36 = -p*m + 9. What is the greatest common divisor of 45 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5264*n + 436076 - 36012 = 0 for n.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 1 + 1 + 74834*q**2 - 2 - 73855*q**2. Let t(n) = -4*n**2. Determine t(f(z)).\nAnswer: -3833764*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*j**4 + 87 + 99 - 100*j**4 - 160*j**4 with respect to j.\nAnswer: -940*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.9609978 to two dps.\nAnswer: 1.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 24 - 5)*(-3 + 2*m + 3) + (0 + 0 - 2*m)*(2 - 4 + 4).\nAnswer: 50*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13763 + 19592. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 29791*p**3\/8 - 147033*p**2\/8 + 241893*p\/8 - 132651\/8 = 0. What is p?\nAnswer: 51\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (44\/(-56) - 2\/(-7))*0. Suppose t - j + 8 = q, -t - 1 = 5*j + 1. Let h(g) = -13*g + 12. What are the prime factors of h(t)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-209)\/((-71478)\/(-1140))*-33?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -440 divided by 3742\nAnswer: -220\/1871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*s**4 + 8*s**3 - 5866*s - 34087171 wrt s.\nAnswer: 52*s**3 + 24*s**2 - 5866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from yoozooozoo?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778972 is divided by 10819.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c + 5. Let h(d) = -3*d - 7. Let r(k) = -5*h(k) - 7*s(k). Let t be r(5). Let x = 5 - 5. Solve x*u = t*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-2940)*(6 + -3)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 6*y**2 + 5*y + 3. Let i be n(-4). Let z be ((-5)\/(-1))\/((-2)\/4). Let f = z + i. Solve f*l = -4*c + 2, 0*c + 2*l + 7 = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3396?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 113 + -112.7. Let t = 0.25 + -2.65. Let k = 2.5 + t. Which is the nearest to 0.1? (a) k (b) q (c) 15\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 44510188 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (32 + -110 + 32)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -436 + 352. Let a be (112\/m)\/((-4)\/6). Solve a*f = 0, 4*r + 4*f = f - 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -22, -1, 3\/4, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2) + (3 - 7) + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -379796 = -44*l - 11912. Does 172 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 3. Let q = 26 + w. What is the greatest common divisor of q and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 * -3324\nAnswer: -10304.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-6)*102\/51*(-897)\/(-182)?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 56.52756 nanometers?\nAnswer: 0.00000005652756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268817.\nAnswer: 268817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a tonne in grams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from {f: 2, d: 7, y: 1}.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -2*x**3\/3 + 19*x**2 + 56. Let a(b) = 2*b**2. Give a(j(i)).\nAnswer: 8*i**4 - 304*i**3 + 2888*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 74. Let b = 55 - m. Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -151 + 150. Let m be 2\/(-10) - 94\/80. Let j = -7\/8 - m. What is the smallest value in p, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(210)\/sqrt(5)*1)\/((4*sqrt(24)*-1)\/sqrt(4)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146752559 to the power of 1\/2, to the nearest integer?\nAnswer: 33864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18101)\/(-161) + 8\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -184, -419, -684, -985, -1328, -1719, -2164?\nAnswer: -2669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -10*q + 9*q - 27*q - 3 + 3. Let g(r) = -3*r. Calculate x(g(p)).\nAnswer: 84*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 953229835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, t: 2, j: 12}. Give prob of sequence wj.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/15 + -1 - (-16)\/3. Suppose -3*l = 2*f + 3*f + u, -3*l + 5 = -5*f. Suppose l = 2*k - 669 + 83. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -3912?\nAnswer: 3913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -4. Suppose 2*z = g*z - 2. Find the third derivative of -2*t**2 - 2*t**2 + 5*t**z - t**6 wrt t.\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y + 36 - 54. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*b - 62 - 23 - 22 + 5 - 2 to k + y*b and give k.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.80884 rounded to 2 dps?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -148 + 251. Let l = k + 137. Is 24 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32705950 rounded to the nearest 10000?\nAnswer: 32710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -152\/3. Let l = 7.2 + 2. Let f = l - 2.2. Which is the third smallest value? (a) f (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 - 8*i - 4. Let o be l(-6). Suppose 3*n - o = 4*u + 13, 0 = 2*n - 6. What are the prime factors of -3*(-2 + u\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/8)\/(0 + 3\/(-48)). Let c be ((-8)\/a)\/(4\/(-18)). Solve -8 = c*y + 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 26 - 4. Let s(b) = -b**3 + 3*b**2 - 2. Let o be s(-2). Let q be (-4)\/j - 66\/o. Which is smaller: q or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 27. Let t be (1 + p\/3)*(16 - 1). Let z(w) = -w + 8. Let c be z(4). Sort -4, c, t, -1 in ascending order.\nAnswer: t, -4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6a - a2a56?\nAnswer: -a2997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574954.\nAnswer: 2, 23, 29, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/7 + 384106*m**2\/7.\nAnswer: 2*m**2*(m + 192053)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1025727580.\nAnswer: 2, 5, 51286379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a890 - 11c7?\nAnswer: 49696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**8\/336 + 107*v**7\/210 + v**6\/120 + 19*v**4\/3 + v**3\/2 + 14*v**2 - 12*v + 1. What is the second derivative of b(z) wrt z?\nAnswer: -20*z**3 + 1284*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 10*w - 31. Give a(-11).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 26*w**3 + 2*w**2 + 4*w - 137. Let s(l) = 11*l**3 + l**2 + 2*l - 70. Let x(z) = -3*k(z) + 7*s(z). Calculate x(0).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 78 + 93 = 0, 3*n - 174942 = -3*z. What is the ten thousands digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 512.631 years?\nAnswer: 5.12631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/153 and -50\/1071.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -166737.7796912 + 166720.78. Let c = d + 17. What is c rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**3 + 277*j**2 - 277*j**2.\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 2*i + 28. Let m be x(0). Calculate the greatest common divisor of 42 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/14*(-12)\/35*-5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 72 and 775200.\nAnswer: 2325600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 9*h + 58. Let z be o(-13). Suppose -125*b + 119*b + z = 0. Calculate the highest common factor of b and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 0, -118, 1 in descending order.\nAnswer: 1, 0, -55, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -1, 2, -65, 210 in ascending order.\nAnswer: -65, -3, -1, 0, 2, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 26*a**2 + 97*a + 290. Determine w(-30).\nAnswer: 980","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3631644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3690\/3444)\/(-1 + 21\/12)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1))\/y*y)**(-3\/17)\/((y*y**(-6\/11))\/y**6))\/(y**(-1\/8)\/y*y**6\/y*((y*y**(-6)\/y)\/y)\/y*y\/((y**4\/y)\/y)) assuming y is positive.\nAnswer: y**(939\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + a - 104 + 2*a**2 - a.\nAnswer: 2*a**2 - 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -113 - 36. Let b = 163 + j. Calculate the greatest common divisor of b and 406.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130953192 divided by -10912766?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjwwmwjjjhwwwm. Give prob of sequence hm.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 585034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 6:07 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40751?\nAnswer: 40751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/((1\/44)\/(323\/(-3876))).\nAnswer: -22\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17310*b = 5*z + 17315*b + 10, 5*z + 19 = -2*b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(13\/(-15)) + (-30)\/195. Let p be 1\/1 + 4 + (6 - j). Solve -4*c = 2*n - 6, -2*n - 5*c + p = -0*c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5625*a**2 - 800*a - 256\/9 = 0. Calculate a.\nAnswer: -16\/225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5059129997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -2\/9, -7, -0.2, -2\/119, 1265, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w - 5. Does 8 divide k(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3697182?\nAnswer: 2, 3, 205399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 12:03 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (8\/2)\/(8*120\/96)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4371 - -4371.4. What is the second biggest value in -0.1, f, -250\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -79, -3\/4, -0.02, 5, 3\/2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.002 + 23.002. Sort -11, 17, u, -5\/2 in descending order.\nAnswer: 17, u, -5\/2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.97628798 to 1 dp.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5.90618 + 0.08042. Let c = -10 - -4. Let b = a + c. What is b rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/(k**(-24)*k))\/k*k)\/(k**28\/k))**(30\/13) assuming k is positive.\nAnswer: k**(-60\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t - 1 = -10*t. Let q = -20 + 23. Let r = q + t. Solve -2*w - 35 = -5*y, -4*y = 6*w - r*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 + d**2 - d - 2. Let c be h(-1). Is c*1*(0 - 499) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*v - 31*v + v + 1 + 805219*v**2.\nAnswer: 805219*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 238*c**2 - 1 - 120*c**2 - c**3 - c - 119*c**2. Let i(x) = 3*x**3 + 6*x**2 + 3*x + 5. What is -5*f(u) - i(u)?\nAnswer: 2*u**3 - u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywy. What is prob of picking 1 w and 1 y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**3 - 6*b**2 + 16*b + 1. Let c(a) = 7*a**3 + 13*a**2 - 37*a - 1. Let z(j) = -2*c(j) - 5*v(j). Suppose -35 = 7*q - 0. What is z(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 626055, 2504219, 5634487, 10016859, 15651335, 22537915, 30676599?\n\"Answer: 626052*f**2 + 8*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 27153 - 24515. Is -2641 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 + -399?\nAnswer: -3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + 34. Suppose d - 4*t + t - g = 0, -50 = -d + 5*t. Does 17 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i - 6 = -5*t, 0 = 3*i - 3*t. Suppose -12 = f - 5*f, 0 = 4*l + f - 15. Factor 13*w**2 - 18*w**2 + 8*w**i + 6*w - l*w**3.\nAnswer: -3*w*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -562620*l**2*z**2 - l**2*z + 70*l**2 - l*z**2 + l*z + z + 208 wrt z.\nAnswer: -1125240*l**2 - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.10624411 to 3 decimal places.\nAnswer: -2.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1)*v)\/v)\/(v**2\/v)*v**(-3\/2)*v*v*v**(-1\/8))\/(v**(-2\/13)\/(v**(1\/2)\/v))**(-37\/2) assuming v is positive.\nAnswer: v**(497\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 5*o = 110, 5326*c + 4*o = 5326*c - 12 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -46504 divided by 5?\nAnswer: -46504\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8.0107 nanometers?\nAnswer: 0.0000080107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 12, s: 1, d: 1}. What is prob of picking 1 o, 1 s, and 1 d?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1145 and 1165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-16\/7)*v*v**13\/v)\/(v\/(((v**(-1\/5)*v)\/v)\/v)*v)**(1\/11) assuming v is positive.\nAnswer: v**(4013\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + p**2 - 5. Let a(z) = -z**2 + 7*z + 8. Let u be a(7). Suppose 4*n = -3*b - 8, -4*b + 2 = 3*n + u. Calculate o(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(72\/414843) - 97\/776 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x + 5*b + 23, x + 4*b + 16 = 0. Let r = 6 + x. What is the third derivative of -9*s**2 + 12*s**2 + 2*s**r + s**3 wrt s?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k + 5*k)*(-8*k - 5 + 5).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (64\/(-10))\/((-36)\/(-90))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -215*o**2 - 19244 + 19244 as j + a*o**2 + f*o and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 383229*o**2 + 3*o - 126169.\nAnswer: 766458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/39 in 2\/7, 1.9, -5, 7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-14)\/(-4)*(-3)\/(-42)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0 + 20. Let u be -1 - (k\/(-55) + 39\/(-33)). Let b = -2\/509 + 1128\/27995. Which is bigger: b or u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 4*i. Let x be n(-8). Suppose -2*u = -36 + x. Suppose -1 = -u*l + 9. Sort 0.2, 0.039, l in decreasing order.\nAnswer: l, 0.2, 0.039","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*r + 27 - 45 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 - 7165*x + 7165*x.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 71. Let s be c(0). Let z be s\/((-1)\/(-5) - (-30)\/(-25)). Let b = -41 - z. What is the remainder when b is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/7, 3, -4, 25, 3.6.\nAnswer: -4, -2, 2\/7, 3, 3.6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -40*o - 4. Let j be d(3). Let k be 8937\/72 - (-4)\/(-8). Let h = k + j. Sort 3, 0.1, h in increasing order.\nAnswer: h, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/7417128 and 93\/4?\nAnswer: 7417128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77, 157, 237, 317?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 35 = -v, v - 3*v = 4*b + 46. Let p = 11 + 7. Let w = p + b. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 336*j*k**3 - j*k + 5212*k**3 wrt j.\nAnswer: 336*k**3 - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2227 (base 8) to base 15\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 327, 814, 1525, 2454, 3595?\nAnswer: 4942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 + -101. Let l(r) = 8*r + 102. Let h be l(t). What is the greatest common factor of h and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + (4 - (-7)\/(-1)) + -1. Which is the biggest value? (a) 1\/2 (b) x (c) 2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2913 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) 1 (c) -0.119\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*v**2 + 78138*v + 22324.\nAnswer: 2*(v + 5581)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4395 is divided by 1121.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -79, -114, -149, -184, -219?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00047293734 rounded to seven dps?\nAnswer: 0.0004729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000588934151 rounded to 7 dps?\nAnswer: 0.0005889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3761*r**4 + 90*r**2 + 5*r - 3236. Let x(f) = -f**4 - 18*f**2 - f - 1. Let k(t) = b(t) + 5*x(t). Differentiate k(p) wrt p.\nAnswer: 15024*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 4*f + 3. Suppose -4 = -11*t + 9*t. What is b(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 56 + -30 + -108\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 o when three letters picked without replacement from {o: 2, b: 2, s: 11}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 19*n**2 + 16*n + 41. Let w = 90 - 72. Let k be x(w). Suppose 0 = z + k*d - 22, 0 = 2*z - 3*z + 4*d + 4. Solve -6*g + 3*g = z for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011110000 - 1010011?\nAnswer: 1101010011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 221141401 + 1?\nAnswer: 221141402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134.794 or 1?\nAnswer: -134.794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2632*n - 2005.\nAnswer: 2632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2221*l - 611*l - 993*l - 613*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (102\/136)\/(1\/(-32)). Let n be 2\/(-12)*873\/(-6). Let w = s + n. Which is the smallest value? (a) -1 (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*t + 17 - 17)*(0*t - t + 0*t)*(-8 - 24 - 6) in the form j*t**2 + v + c*t and give j.\nAnswer: -380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76206.39 milligrams in micrograms?\nAnswer: 76206390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1219, 1219, 1241, 1297, 1399, 1559?\nAnswer: 1789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80527020.\nAnswer: 2, 3, 5, 7, 109, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y**2 - 1419*y + 11 + 2684*y - 1468*y.\nAnswer: 5*y**2 - 203*y + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -563.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(2 - (-25)\/(-12)). Let o be (-1)\/4 - (-219)\/u. Solve -5*l = 5*h - 15, 4*l - h = h + o for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4473505 - 0?\nAnswer: 4473505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1885 divided by -6?\nAnswer: 1885\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4999*v - 96332. Calculate d(-19).\nAnswer: -1351","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*g + 5*g - 5, 3*g + 2*y - 7 = 0. Suppose -3*w = 5*m - 84 + 27, -g*m + 35 = 2*w. What is the highest common factor of m and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175076578?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12659 (base 10) in base 3?\nAnswer: 122100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 324554 = 2*x - 134818, 4*b + 918753 = x. Let j = b + 89689. What is j rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**4 - 2516*p**3 + 51228*p**2 - 94924*p + 46208 = 0. Calculate p.\nAnswer: 1, 19, 608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2. Let x(y) = -442*y. Calculate b(x(q)).\nAnswer: -390728*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from nggggggxggggg.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/6 + -4)*(-6)\/(-7). What is the smallest common multiple of (-4)\/(-2 + 2 + t\/9) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.954 - 0.046. Let y = -26.0000289 - u. Round y to 6 decimal places.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162055388.\nAnswer: 2, 11, 3683077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1706, -1707, -1708, -1709, -1710?\nAnswer: -1711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuu. Give prob of picking 4 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 18 = -0*s - 2*s, -3*t - s + 29 = 0. Let l be 146\/(0 + t\/(-15)). Let y = 325 + l. Does 20 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 454211 (base 7) to base 8\nAnswer: 235507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49481 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/1 - -3 - 95\/25*-5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 5*r = 1338. Let n = 6694\/15 - r. Let z be (2\/3)\/((-8)\/(-12)). Which is bigger: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 - -28. Let k = y + -7. What is the remainder when k is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1501, 1432, 1357, 1270, 1165, 1036, 877?\n\"Answer: -t**3 + 3*t**2 - 71*t + 1570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.059 or 1363?\nAnswer: 1363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*y - 2*o, 2*y - 5*y - 3*o = 30038 - 30017 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -2, 2\/11, -6, 0.83?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21348*z**3 + 161*z**2 - 161*z**2 - 163871*z**3.\nAnswer: -185219*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -15. Let r(p) = -p - 1. Let t(k) = h(k) - 5*r(k). Let i be (-14)\/(-2) + -1 - -1. What is the units digit of t(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11770 is divided by 11690?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/10*(-9)\/(-30). Let i(r) be the first derivative of 1\/5*r**2 - 1\/3*r**3 + 1 + 0*r - f*r**4. What is k in i(k) = 0?\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - -179 - 7)\/20. Which is smaller: t or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225165293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.03 (b) -2\/3 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 - -50. Suppose 13*r = a*r - 4. Let o be -1 + (0 - 1) - -5. Sort o, -2, r in ascending order.\nAnswer: -2, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14921.\nAnswer: 43, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 960 is divided by 116.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-25)\/5)\/5)\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 349*v + 11 - 388*v + 48 in the form i*v + b and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 143377591 to the power of 1\/3, to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 + 9*i - 4. Let v be t(4). Solve 4*z = -5*n - 22, n + 4*z = -v*n - 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*q - 23 = 0, 0 = -3*q - 1 - 8. Let a be w\/(48\/418) - (-2)\/12. What is the greatest common divisor of 15 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2532*s**2 + 1267*s**2 - 403*s**3 + 1264*s**2 - 490 + 1990 wrt s.\nAnswer: -1209*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237034.368 rounded to the nearest 1000?\nAnswer: 237000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*b - 2699 - 1831. Let z = 878 - b. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.03 + 13.93. Let u = x - -1.1. Let p = u + -2.2. Round p to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.34938 years in months?\nAnswer: 280.19256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**30*z\/((z**24*z)\/z) assuming z is positive.\nAnswer: z**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/4 + 1\/(-2). Let j be (-4)\/(-14) - v\/(-7). Let z be (29 - 0\/(-1)) + j. Calculate the greatest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19190*o = -1935*o + 39677 + 63853 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -420 - -441. Calculate the highest common factor of 525 and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 13*g**3. Let j be m(-1). Let i = j - -26. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 2*o + 3*o + 18, -3*o - 14 = -4*l. Suppose u - 2*n - 10 = -7*n, -l*n = -2*u + 20. Let b(z) = -z**3 + 11*z**2 - 9*z - 3. Calculate b(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8138520 and 152280.\nAnswer: 73246680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 3 - 1 = -o, -3*l = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2) + (-1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 13*r**2 - 25*r + 19. Suppose q = f - 10, 8 = 3*f - 4*f - 5*q. Let t(g) = 6*g**2 - 12*g + 9. Let i(j) = f*t(j) - 3*k(j). Find v such that i(v) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1845)\/(-12))\/((-19)\/76). What is the units digit of (15\/4)\/(-5)*(v + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*-7.403.\nAnswer: 8.1433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*k + 181576, 3*k - 237521 - 34883 = 4*h. Suppose 2*x + k = 4*b, b - 601 - 22107 = -4*x. What is b rounded to the nearest one thousand?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 196 + 233 - p - 264 to the form c*p + t and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*g + 21 = 0, -v + 4*g = v - 12. Let k be (1196\/v)\/((-1)\/3). Let f = k - -750. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/243 and 37\/135.\nAnswer: 1215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**4\/12 + 7*x**3\/6 + 7*x**2\/2 - 4*x. Let n(s) = -s - 1. Give 3*h(j) + 21*n(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*t**5 + 30*t**4 + 16*t**3*v + 5*t*v - 2*t - 4*v - 5749 wrt t?\nAnswer: -360*t**3 + 360*t**2 + 96*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 14*d**2 - 2*d - 19. Determine z(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0704 - -0.07039395. Round w to seven decimal places.\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14712735 by -980849.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1260)\/(-945)*135\/9.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73770 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6334 (base 7) to base 12.\nAnswer: -135a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 PM and 6:39 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 4)*(-5 - 5 + 5)*(-2*c**4 + 3*c**4 + c**4).\nAnswer: 50*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 123323987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -263? (a) 2137 (b) -3 (c) 2\/3 (d) -2 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 13*k + 132 = 5*f, -f + 186 = 5*k. Calculate the greatest common factor of 4 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/(-140)*-7*4\/(-22).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = 52 - 36. Let g(l) = -36*l - 13. Is g(t) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2427828 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -3. Suppose 0*w + t*w + 3*y = 18, 22 = 4*w + 3*y. Suppose -3*a = -4*v + 20, w*a = -11 + 27. Calculate the greatest common divisor of 56 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 233*h + 9 - 4)*(h**2 - 2*h**2 + 0*h**2).\nAnswer: 233*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Sum -33869000 and -0.1.\nAnswer: -33869000.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**5\/3 - 20*h**4\/3 + 89*h**3\/3 - 70*h**2\/3 = 0.\nAnswer: 0, 1, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiq when three letters picked without replacement from {q: 4, v: 7, i: 6}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-66)\/(-847)*(-1)\/((-2)\/14). What is the third smallest value in -2, -2\/35, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 1. Let a(r) = -r**2 + 2*r + 7. Let k(y) = -a(y) - 5*o(y). Let q be k(-4). Solve -5*v**q - 9*v - 16*v**3 + 1 - 2 - 18*v**2 - v**2 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(75) - 1*sqrt(75)) + -1)*5)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 divided by 14?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*h**3 - 4443*h**2 + 143149*h.\nAnswer: 252*h - 8886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 523.38 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 699497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuttttutttttttut. What is prob of picking 2 t?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2560199712 to the nearest integer?\nAnswer: 50598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -70 + 72. Suppose k - 46 = w*b, 2*b + 4*k = 4*b + 58. What is the common denominator of b\/6*(-5)\/(-11)*2 and -50\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-56))\/(4\/16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/13)\/((i\/(i**(-20)*i*i*i*i*i)*i)\/i) assuming i is positive.\nAnswer: i**(-210\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96.7948 + -1.7948. Do -79 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 12. Let l be j(2). Suppose 5*z = 24 + l. Suppose -5*s = -z*s - s. Is s smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 4*v**2. Let j = 31 + -21. Let n(y) = -j*y + 0*y + 9*y. Give d(n(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 88.3373 millimeters?\nAnswer: 0.0883373","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2085931 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 29. Let y be (f\/(-9) - 1)*9. Which is smaller: -0.2 or y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3235 divided by -5?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5209279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134062*b**2 - 16949*b + 16949*b.\nAnswer: -134062*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**6*d)\/(d*d**(-2\/7)*d))\/(d**2)**42)**(8\/9) assuming d is positive.\nAnswer: d**(-4408\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64 - -3 - 1 - -3) + (21 - 38 - -16)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -20*z**3\/3 + z**2 - 123*z - 14. Let d(p) be the second derivative of p**3\/6 + 7*p. Determine s(d(y)).\nAnswer: -40*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 175*c**2 - 10*c + 13. Let v(a) = 351*a**2 - 18*a + 25. Let o(d) = -11*n(d) + 6*v(d). What is the second derivative of o(r) wrt r?\nAnswer: 362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 39150?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -470425, -940817, -1411209, -1881601, -2351993, -2822385?\nAnswer: -3292777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51, -101, -153, -207?\n\"Answer: -j**2 - 47*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**2\/2 - 7*j + 2. Let r be t(-5). Calculate the smallest common multiple of (4 + r)*21\/6 and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203 divided by 7.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 2*y**2 - 2. Let q(s) be the third derivative of -s**6\/40 - s**5\/12 + s**4\/24 + 5*s**3\/6 - 6*s**2 - 4*s. Give -10*l(p) - 4*q(p).\nAnswer: 2*p**3 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10674385, 10674384, 10674383?\nAnswer: 10674382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1206*f**4 + 373862*f**3 - 5337170*f**2 + 8850*f = 0.\nAnswer: 0, 1\/603, 15, 295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3*y + 21. Suppose y*b - 75 - 51 = 0. Let n be 27\/2*4\/3. Calculate the greatest common factor of b and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 494\/(-6) + 10\/(-15). Let a = z - -289. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/(-9)*12\/8. Suppose 36 = -r + i. Calculate the common denominator of 25\/6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9648929897\/2271687348 - -30\/1423363. Let o = j - -1\/399. What is the common denominator of o and 1590\/(-252) - 3\/9?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378 and 1421712?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-141232)\/(-388)*(-3)\/(-84)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(75)*1 - ((sqrt(147) - sqrt(147)*-2) + 3 + (sqrt(147) + -1 - sqrt(147)) + 5)**2) + -4.\nAnswer: -1377 - 304*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30732 and 1229280.\nAnswer: 1229280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 4:20 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdrr when four letters picked without replacement from llllrlrvlzllllllldlr?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwcwwwcwwwc. Give prob of picking 1 c and 2 w.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.085161 to 3 dps.\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 142296 and 11?\nAnswer: 142296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.9903 and -0.0991089.\nAnswer: 0.8911911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 25 + 3 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/98)\/(43\/(9933\/99)*1)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 1. Let h(m) = -2. Let s = -192 - -190. Let n(t) = s*h(t) - 4*u(t). Let q(x) be the first derivative of 7*x**2 - 10. What is n(q(l))?\nAnswer: -56*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58 - 53. Suppose -29 = a - 5*k, 9*k - 6*k - 57 = o*a. Sort a, 2, -1 in decreasing order.\nAnswer: 2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/4*198\/(-55) - 1. Let f = 14 - z. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 22 = -234. Suppose 134*z - d = 133*z. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*i**3 - 75*i**2 + 75*i**2 + 5*i**3 + 2*i**3 - 6*i**3 + (-i - 2*i**2 + i)*(i + 5*i - 5*i) + 4*i**2 + 2*i**3 - 4*i**2.\nAnswer: 29*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -361*a + 357*a = 5*z - 19001, 0 = -2*a - 2*z + 9500. What are the prime factors of a?\nAnswer: 3, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/20)\/m)\/(m\/(m\/m**(1\/9)))*(m**1)**17 assuming m is positive.\nAnswer: m**(2869\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Let h = 329 - 318. Calculate the remainder when h is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5830 by 530.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 1\/24*d**6 - 1\/3*d**5 + 25\/24*d**4 - 2*d**2 + 0 + 0*d - 5\/3*d**3. Factor h(q).\nAnswer: 5*(q - 2)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(117\/6) - -432*(-123)\/76752.\nAnswer: -11\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454*j**2 - 391*j**2 - 1082*j**2.\nAnswer: -1019*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4257042b - -5?\nAnswer: 42570434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4813000 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (-2)\/((-36)\/15). Let p(f) = -29*f + 7. Let z be p(-2). Let l = z + -65. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 340750 + -7738\nAnswer: 333012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w**3 - 103*w**2 - 230*w - 3197. Determine f(-33).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - -10 - (-1 + 3). Suppose -c = -2*b - 4. Suppose 5*l - b = -5*z, l - 4*z = 36 - 10. Solve 3*i = l - 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 2*n**3\/3 - 9*n. Determine c(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 861 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 0*t**2 - 3*t**2)*(3*t**2 + t**2 - 3*t**2)*(3*t - 2*t - 2*t) + (-67 + 67 - 85*t)*(-t**4 + 2*t**2 - 2*t**2).\nAnswer: 88*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2135*w + 1381*w = 16588 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466447272.\nAnswer: 2, 3, 1549, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ueeuuuuuuee. Give prob of picking 2 u.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 308208069 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 289 = 81. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4589 = 4*f - 4777, q + 2 = 0. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2*w = -5*w - 52, -2259*f - 5*w - 41 = -1952*f + 1614 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 32. Suppose -7*f + 284 = -l*f. Does 26 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 3*o - 4. Let x(d) = -3*d + d**3 + 1 + 5*d**2 - 2*d + 1. Let u be x(-6). Let w be (-3)\/6*u - -1. Calculate v(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 8*m**2 - 7*m + 4. Let j be d(-7). Let c be 1 + (15\/75)\/(2\/10). Suppose n + 34 = j*u, -c*n - 10 = -u - n. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12025 - -18206. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1152229257.\nAnswer: 3, 128025473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(240)\/(sqrt(20)\/sqrt(2)))\/sqrt(12).\nAnswer: -4 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 3337533 + 355598 = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -6*h**3 + 2*h + 14. Let o(i) = 2*i + 2. Let p be o(-3). Let s be r(p). Suppose 0*g - 2*g + s = 0. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*n - 87*n - 2026200 = 1892589. List the prime factors of n.\nAnswer: 7, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z + 5*z - 3*z**3 + (-7*z**2 - 24*z**2 + 62*z**2)*(2 - 2 + 5)*(4*z - z - 2*z) - 2*z**3 + 0*z**3 + z**3 + (-5*z + 0*z + 4*z)*(z**2 + 0*z + 0*z).\nAnswer: 150*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111 - -131. Solve -4*z - 3*g = g + 8, n = -4*g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -110, -248, -386, -524?\nAnswer: -662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 126162010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -12*r**2 + 3*r - 1. Let c(a) = -24*a**2 + 7*a - 3. Let n(q) = -5*b(q) + 2*c(q). Suppose 0*o = o + 2. Is n(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33522466 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15604 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -5. Let r = 0.28 + -0.38. Is r greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 33*c + 38*c = -51, 3*t = 2*c + 26 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Suppose 4*i - 6 = 2*f, f - 4*i + 15 = i. Suppose 5*n = -f*x + 4*n + 64, 3*n = -3. Solve v*p + m = x, -p + 1 = -4*m + 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -47*d + 141 + 146*d - 79*d - 20. What is k(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/9 - 1898*p\/3 + 28020.\nAnswer: 2*(p - 2802)*(p - 45)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 129577 and 1038?\nAnswer: 777462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 161 - 118. Find the common denominator of -145\/12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 33*o - 2. Let m(f) = 6*f - 12. Let w(n) = -4*n + 10. Let h(l) = -5*m(l) - 6*w(l). Calculate h(b(c)).\nAnswer: -198*c + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2763526573.\nAnswer: 19, 145448767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -188*i**2 + 570*i - 10. Calculate y(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1417085 + 2834150 - 1417067 + 14*j.\nAnswer: 14*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523*y + 5*y + 147*y.\nAnswer: 675*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t**2. Let g(w) be the third derivative of w**6\/720 + w**4\/12 + 20*w**3\/3 - 111*w**2. Let q(p) be the second derivative of g(p). What is q(c(s))?\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8850 + -99 - ((-1 - -2) + 2). Suppose 10*i - 16*i = -m. What is the hundreds digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b + 1. Let o(g) = 4*g**2 - 69*g + 280. Let q be o(7). Let u(h) = h**2 + 2*h - 3. Calculate q*s(v) - 3*u(v).\nAnswer: -3*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004872 rounded to four dps?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -7174465300 to the nearest 1000000.\nAnswer: -7174000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-5) + 375198\/30*3. Is -2*3\/27 - u\/(-36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**5\/4 + 11*s**4\/24 - 31*s**3\/6 - 132*s**2. What is the remainder when h(4) is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (93*b - 88*b - 61*b)*(-b**2 + 4*b**2 - 2*b**2) as r*b + w + j*b**3 + y*b**2 and give j.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17650?\nAnswer: 2, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2732902 or -2732896?\nAnswer: -2732896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-10\/9)*z**(2\/51) assuming z is positive.\nAnswer: z**(-164\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 52.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 - 28678*f\/3 - 3353560\/3.\nAnswer: 2*(f - 14455)*(f + 116)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43)\/(25800\/(-350))*(-256)\/(-15008)?\nAnswer: 2\/201","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4589 and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 78, 157, 250, 363, 502, 673, 882, 1135?\n\"Answer: z**3 + z**2 + 69*z + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299995 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74\/6 + ((-44)\/42 - 8184\/(-4774)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 5*m - d - 4748, 0 = -5*m - 3*d + 4753. Let s be 1\/(-4) + m\/(-8). Let j = 122 + s. Calculate the highest common divisor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + -10. Let c = -5.9 - v. Let n = 13\/10 - 3\/2. Which is greater: n or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-11)\/(-1))\/(2\/(82\/1)). What is the highest common divisor of a and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.82, 0.2, 2\/17, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 9*f - 6*f. Suppose -z - f*z - 115 = -q, -5*q = -4*z - 623. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 7:00 PM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 11 = -34. Suppose y + 9 = -2*z, 5*y - 16 = d. Let s(c) = -10*c + 7. Is s(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-8)*(q**7\/q)\/q)**(9\/2))**(-12))**(-2\/7) assuming q is positive.\nAnswer: q**(-216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 813 a factor of 88435201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5c5660 (base 15) in base 10?\nAnswer: 4422690","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v + 36 - 18 - 14. What is i(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 3*t = -14871. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-888)\/64 - -14)\/(3\/(-2) - -2). What is the biggest value in n, -2\/5, -0.053, -0.06?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**3 - 5*u**2 - 2*u + 10. Let f be 2\/((-99)\/(-18) - 6). What is the tens digit of r(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110 - -221. Let b be m\/6*(-21)\/(-972). Let v = 2\/81 - b. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161308 is divided by 272.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 1094 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: Let v(l) = 5*l - 1. Let p be v(-4). Let a = p + 30. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125 and 1750?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -j**3 - 793*j**2 - 22295*j + 2?\nAnswer: -6*j - 1586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361357 is divided by 2867.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**2 + 8*v + 1. Let w be g(8). Let f(r) = -r - 7. Let u be f(-6). Sort w, u, 2.\nAnswer: u, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 168, 1\/20587 in increasing order.\nAnswer: 1\/20587, 5, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11*g**2 + 1142*g + 36. Let s(n) = -24*n**2 + 2286*n + 78. Give -13*b(o) + 6*s(o).\nAnswer: -o**2 - 1130*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12697305 to the nearest integer?\nAnswer: 3563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 3*t**2 + 4*t + 3. Let x be i(-2). Let s = -3 + 2.6. Let w = -7 - -2. Which is the second biggest value? (a) s (b) x (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/69 - 317\/3795. Let l be (23 + -23)\/(6\/(-2)). Which is smaller: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 779.53 + -779.5. Sort 1\/3, -3, -0.3, b, -125.\nAnswer: -125, -3, -0.3, b, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 364798227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 27*p**2. Let j(z) = 5*z**2 - z**2 - 6*z**2. What is j(g(w))?\nAnswer: -1458*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1 (b) -0.1 (c) -2\/9 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 140150 = 2*k. Suppose 0 = -4*s - 5*t + k - 783, 0 = -3*s + 4*t + 9955. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1349, 1985, 3037, 4505, 6389, 8689, 11405?\nAnswer: 14537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-208)\/(-312)*(-3)\/(-20). Let r(g) be the second derivative of -1\/15*g**6 - 1\/3*g**3 + 1\/6*g**4 + 19*g + 0 + 0*g**2 + k*g**5. Let r(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l - 39. Let n be h(5). Which is the nearest to n? (a) -1\/5 (b) -0.9 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79740901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b**3 + 2*b**2 - b - 2. What is t(-2)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 623648*b**2*k**2 + b**2 + 133*k**2 + 103*k + 6 wrt b?\nAnswer: 1247296*b*k**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s**0))**43*s\/((s**(7\/5)*s*s)\/s*s)*s*s\/s**(4\/3)*(s\/(s**(-2)\/s)*s**(-4)*s)\/(s**(1\/3))**(3\/19) assuming s is positive.\nAnswer: s**(12031\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(72)*1 - (2 + 1*sqrt(72))**2.\nAnswer: -60*sqrt(2) - 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5961083.9 * -0.4.\nAnswer: -2384433.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**3 - 6*o**2 - 2. Let j(c) = -5*c**3 + 13*c**2 + 5. Let n = 18 + -5. Let t(z) = n*u(z) + 6*j(z). What is the derivative of t(q) wrt q?\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3*3\/6)\/(-1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 18 = 3*z + 4, -5*t - 13 = 2*z. Let i(w) = -w**3 - 8*w**2 + 7*w - 22. Let l be i(z). Let p be (l + 3)*(-4)\/2. Which is smaller: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 11:14 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -3*p**5\/20 - 3*p**4\/16 + 5*p**3\/2 - 3*p**2 + 226. Find g, given that a(g) = 0.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 113411 + 2?\nAnswer: 113413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 390664 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24, -14\/15, -7\/5, -0.1, -2, -3?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 11*h**2 - 11*h + 17. Is c(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 20 = 4*h, -4*h = -15*g + 18*g - 16. What is the second biggest value in 0.3, 1.5, g, 2\/13?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/1833 and -20\/2417633.\nAnswer: 94287687","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2459 + -32b?\nAnswer: 212b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 + 714\/15. Suppose -5*c + c = r. Calculate the common denominator of 81\/2 and ((-18)\/4)\/((-10)\/c).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118609949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -5*t**3\/3 - t**2 + 5*t + 5. Let q(x) = 26*x**2 + 11*x - 25. Let y(p) = -11*j(p) - 2*q(p). Differentiate y(a) wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011 + -2210202110112?\nAnswer: -2210202102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.3 rounded to 0 decimal places?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 1 - (-3 + -1 + 10) - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7, -7, -27, -53, -85, -123?\n\"Answer: -3*w**2 - 5*w + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -14*p**2 + 3*p + 2. Let f be m(2). Let d be (-18)\/(-8)*(-256)\/f. Suppose 0*z - 8 = -2*z. Solve -4*b - 24 = -z*c - 7*b, -d = -3*b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1778 rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1792620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 160 and 4000?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 35*i + 53. Let l be j(-2). Let o(t) = t**2 + 23*t + 106. Let f be o(l). Solve 11 - 3 = -f*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0.24618, 0.5 in decreasing order.\nAnswer: 11, 0.5, 0.24618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12251)\/(-9) + 4\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 3:45 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -332187 - -289334927\/871. Is 1 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29.83 from 1.099641246.\nAnswer: 30.929641246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + g + 364. Let c be (-2)\/6 - (-31)\/93. Is p(c) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -5*x + 108, -x + o + 10 + 18 = 0. Suppose 2*s + x = r - s, r - s - 16 = 0. Let z = r - -6. Calculate the greatest common divisor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 215*l - 3. Let j(x) = -21*x**2 - 2. Determine a(j(o)).\nAnswer: -4515*o**2 - 433","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2. Let x(m) be the second derivative of m**5\/40 - m**3\/2 + 8*m. Let f(j) be the second derivative of x(j). Calculate w(f(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 1\/3, -0.2, -41, -14, -0.16?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 455\/(-55) + 90\/330.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54250.81 - -53647. What is u rounded to the nearest 10?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 827838 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104434330 + 10?\nAnswer: -104434320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-710)\/355*35\/308.\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1004*u**4 - 132*u**4 + 526*u**4)*(-1 + 5 - 3)*(-u + 2*u + 0*u).\nAnswer: 1398*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 438 a factor of 37641357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a gram in milligrams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -26*(-15)\/(-20) - 2\/(-4). Is -21 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**3 + 5*t**3 - 3*t**3 + (-1 + 1 + 2)*(0*t**3 + 4*t**3 - 2*t**3) + 70*t**3 - 3*t**3 + 89*t**3.\nAnswer: 159*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 479616\/(-799760) - (-3)\/5. Let g = -1729571\/299910 + w. What is the common denominator of -107\/30 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171550 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/2 - 136\/(-16). Find the third derivative of -17 + 17 - m*w**2 - 3*w**3 wrt w.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 1417*a**2\/2 - 3907*a + 3747. Differentiate p(n) with respect to n.\nAnswer: 1417","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-102))\/((70\/175)\/(56\/35)).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -771*g*n - 485*g + 2*n wrt n?\nAnswer: -771*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 571 - 381.4. Let h = a - 189.599994458. Round h to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006747 rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -597 and 11.47.\nAnswer: -6847.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 - i**2 - 4*i**2)*(-3 + 3 - 2*i - 1 + i + 1 + (0 - 2 + 3)*(-3 - 2*i + 3) + 0*i + 2*i - 3*i + i - 4*i + 4*i + i - 4*i + 8*i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 827\/110760 - -1\/520. Let z = s + 197\/1704. What is the common denominator of -127\/18 and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5634 + 0.3643. Let c = -1.8 + 1.6. Let n = c - p. What is n rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 34055138 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**4\/6 + 34*z**3\/9 - 16*z**2\/3 + 324. Solve q(i) = 0 for i.\nAnswer: 0, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -156, -157, -160, -165?\n\"Answer: -n**2 + 2*n - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 6*k**3 + 3*k - 5. Let r(t) = -t + 1. Suppose -4 = -h - 3. Let v be (-1 - 5) + h + (-252)\/(-126). Determine v*r(y) - z(y).\nAnswer: -6*y**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 8) to base 7\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 213 and 12?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 130658 to the nearest one thousand.\nAnswer: 131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*t - 35*t = -47*t + 27900. Is 2\/11 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(4\/4 - -3). Suppose -t*w - 18 = g, -5*g + g = -w - 13. Suppose -5*o + g*o = 3*b - 204, -3*b + 4*o = -218. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -264?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -10 + 36 + (22 - 56).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075527 a multiple of 635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*h + 3127, -h = -5*h - 3*s + 4176. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145 + 390277831\nAnswer: 390277976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*o, -2*a + o + 30 = 3*a. Let q = a - 7. Let c(t) = t**2 + 5*t + 3. Calculate c(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6660276 divided by -4?\nAnswer: -1665069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-51 + 17 + (-6 - 8)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i + 7035. Suppose 145*m - i = 142*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k = 18*k - 211 + 803 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/292 and 7\/11607.\nAnswer: 46428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (9*1880\/600)\/(5\/(-50)*6)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -7\/12*p**4 + 7*p + 0*p**5 - 4\/21*p**7 + 0 + 0*p**6 + 0*p**3 + 0*p**2. Find the third derivative of y(q) wrt q.\nAnswer: -480*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9.7, 0.2, -1\/2, -2\/7, -65?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - q - 1. Let z(w) = 20*w**2 + 2*w + 10. Let k(g) = 2*j(g) + z(g). Let d be k(-6). Round d to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*f + 24*f + 7*f - j - 6, 0 = -3*j for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 10. Calculate the smallest common multiple of p and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 - 2*p**2 - 3*p + 2. Let w be f(2). Which is greater: 9\/2 or w?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen fifths of a week?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*1 - 2) + 105\/(-35).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 0)\/(-9 - (-2 - 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 9 = -4*q, 4*h = -4*q + 39 + 5. Suppose 0 = -j + 21 - 19. Solve -3*z + q = c + j*c, -z + 14 = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 6 - 6 = -3*x, -s + 16 = 5*x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -2. Let t = 175\/6 + -61\/2. What is the third smallest value in 0.2, n, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 - (397 - 385 - (-16)\/(0 + -2)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 59*k**5\/60 + k**4\/24 + 2*k**2. Let t be m(1). What is the greatest common divisor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5036572 and 3.\nAnswer: -15109716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-1\/3)*w)*w**4)**(-8)\/((w*w**(2\/9)*w)**(-2\/25))**(-1) assuming w is positive.\nAnswer: w**(-1568\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27737567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136*j**3 - j**2 + 23*j wrt j?\nAnswer: -816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/9 + 104*z\/9 + 34\/3.\nAnswer: 2*(z + 1)*(z + 51)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -18*q + 22. Let o = 91 + -93. Let w(r) = -10*r + 11. Let n(l) = o*c(l) + 5*w(l). Let t(k) = -5*k + 4. Let f = 2 - 6. Calculate f*n(i) + 11*t(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -131, -144, -161?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 103\/4, 236, 0.\nAnswer: -1\/4, 0, 103\/4, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -309*y - 1522. Let c be k(-10). What is the greatest common divisor of 144 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794365441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 24\/61?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -12. Let x(i) = i - 2. Let a be x(2). Suppose 17*y - 18*y - 1 = -z, -5*y = -4*z + 2. Solve -s - k + y = a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22029 + 38564. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Let o be (r\/(-13))\/(-1 + 2). Let n = -0.5 - 2.5. Which is the second biggest value? (a) n (b) o (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + 31010320?\nAnswer: 31010331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**5\/60 - 3*g**3 - 38*g**2. What is the derivative of m(p) wrt p?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*1.819534.\nAnswer: 0.5458602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 11321301?\nAnswer: 11321310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 512 and 832.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (1 - ((-588)\/10)\/7).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**37*a\/(a*a*a*a\/a**(-3\/7)*a))\/(a\/(a*a**(-25)*a))**(-34) assuming a is positive.\nAnswer: a**(5940\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1736021.\nAnswer: 7, 71, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*s - 29*s + 13*s + 3*s**2 - 174 + 10*s.\nAnswer: 3*s**2 + 3*s - 174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y - 113. Let g = -218 - -246. Is b(g) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-90)\/525)\/(44\/77)*8\/78.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-8))\/((-5)\/(-60)). Let q = 30 + w. Solve 0 = 5*p + j - q, 2*j = -5*p + 7 + 3 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0\/(v\/v**(2\/13))*(v**(1\/3)\/v)**22)**(-3) assuming v is positive.\nAnswer: v**(605\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 w when three letters picked without replacement from wwwkkww.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 0*l = -4*v - 39, -5*v - 48 = 3*l. Let t = v - -13. Solve 14 = t*i + 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/5 + (-162)\/(-30). Let z(k) = -k**2 + 8*k - 4. Calculate the remainder when z(d) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -609*b + 480*b - 287*b - 1471*b.\nAnswer: -1887*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 15 - 3 = -w, -25 = 5*w + 3*n. Calculate the remainder when 90 is divided by ((8 - w) + -7)*46\/6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 + 2*i + 799. Is p(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/8)\/((-5)\/4). Suppose 0 = -5*w - 10. Which is smaller: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/7 <= -881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + 3\/2*-2. What is the units digit of h - (-1)\/(3\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 + 0.244.\nAnswer: 116.244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 557455848 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -945 + 803.1. Round b to the nearest integer.\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/3, -0.2, 7\/3 in decreasing order.\nAnswer: 10\/3, 7\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -88973 - -435124. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -703 + 3?\nAnswer: -700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddth when four letters picked without replacement from {h: 3, d: 6, t: 2, x: 2, y: 1}.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -106 - -97.7. Let z = 7.35 + d. Let t = 0.706 + z. What is t rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, k: 2}. What is prob of sequence kk?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**2 + 2574*z + 10344 = 0. Calculate z.\nAnswer: -4, 862","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 0 + 0)*(-3*m + 0*m + 7*m) + (0*m + 0*m + 2*m)*(-3 + 2*m + 3) + m**2 - 5*m**2 + 3*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 557?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a = -6*a + 5*o - 4, 5*a = -10*o + 5. Solve 4*t = -10*r + 12*r, -a*t - 18 = 3*r for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-210)\/4)*78\/(-52)*24.\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*x + 3058 + 4866. Suppose 0 = -3*s + 4*y + 895, s + 5*y - x = -s. What is the remainder when s is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/7788800 and -77\/194720?\nAnswer: 7788800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/645 and -41\/10.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/(-2))\/((-34884)\/143208)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/((-8)\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -20*f + 1. Let u(t) be the first derivative of -20*t**2 + 2*t + 854. What is -9*a(w) + 4*u(w)?\nAnswer: 20*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 22*t + 109. Is a(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**2 + 17*g**3 + 0*g**2 + 2460644*g - 2460644*g.\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9 - 5 - 2 - 2*x + 2*x - 2*x + 2*x + (0*x + x - 3*x)*(3 + 1 - 2) - x - 3*x + 2*x + 0*x + 0*x - x.\nAnswer: -7*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263340.\nAnswer: 2, 3, 5, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3937, 5, 7.\nAnswer: -3937, -1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 437137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-8) + 2 + (-144)\/64. Let d(l) = -l**3 + 3*l**2 - l. What is the tens digit of d(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + 1 + 0)**2.\nAnswer: 14*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 88, 251, 554, 1045?\nAnswer: 1772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, t: 1, z: 1, m: 1, b: 1, k: 1}. Give prob of sequence bl.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 131763 and 56613.\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000013027804 to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98159068.\nAnswer: 2, 7, 3505681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 125 + -124.923. Round y to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 14 - 1. Suppose 4 = -t*f + 5*f. Solve -s = -y - 7, -5*s = -y - f*y - 29 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14382 = -936*a - 25901 - 13812 - 3937 for a.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4267315 - -42?\nAnswer: -4267263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/55 - -131\/385. Let h = -7 - -7. What is the second biggest value in 2, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 l when two letters picked without replacement from {a: 1, j: 4, w: 4, l: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -15*i - 8. Find the second derivative of -3376*h**5 + 11 + 4*h**4 - 4*h + 3*h + 3373*h**i - 4*h wrt h.\nAnswer: -60*h**3 + 48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16776, -16612, -16448, -16284, -16120?\n\"Answer: 164*p - 16940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 12 = -3*m. Let h(o) = 2*o + 35. Let w be h(-5). Suppose 4*t = -m*x - 15, 0*t + w = 2*t - 5*x. Solve -2*d + 2*r - 9 - 1 = 0, 2*r - 2 = t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**3\/6 - 12*r**2 + 1307*r. Determine i(15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand i - 3*i + i + (-5 + 5 + 1)*(-2*i + i - 2*i) + 124*i - 5*i - 249*i.\nAnswer: -134*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -424.57 + 420.57. Let k be (8\/18)\/(-2) + 0. Which is the biggest value? (a) o (b) k (c) 8 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18568 or 4481?\nAnswer: 18568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1081*j**2*w**3 - 94*j - 6*w**3 wrt j.\nAnswer: -2162*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-691)\/(-3))\/(4\/12). Suppose f - 2715 = -4*v. Let u = v - 283. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10410424.36 rounded to the nearest 100000?\nAnswer: 10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297539248.\nAnswer: 2, 643, 28921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w - 27 + 69 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 divided by -3?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 137 or 4490?\nAnswer: 4490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4842147 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2140062 is divided by 662?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 420*s + 753 = 425*s, -3*v + 3*s + 1056 = 0. Solve -338 = 7*i - v for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3568 + 4487. Which is greater: 918 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 4, 3, -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -37396, -149574, -336538, -598288?\n\"Answer: -37393*n**2 + n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*x = -560, 4*n - 24*x = -19*x + 566. Solve n*i + 12 = 145*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -864 - 1512 = -12*u. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780\/(-660)*6\/(-39)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/12*((-320)\/(-400))\/((-14)\/(-5))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -119 - -117. Let j(d) = d**2 + 3*d + 5. What is j(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14, -145, -580, -1429, -2830, -4921?\n\"Answer: -23*x**3 + 2*x + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*c = -4*c + 36, 4*n - 374 = -5*c - 215 for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 2*z**4 - 21 - z**4 - z**3 as l + c*z + u*z**4 + x*z**2 + m*z**3 and give l.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-9)*-3 - -2. Suppose -3*v - 4*i - 172942 - 4078 = s, 4*i = 3*v + 176980. What is v rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52004897?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l - 4*l + 3*l + 3186 - 1820 in the form t*l + c and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -206 less than -45566?\nAnswer: -45360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let g = -13.75 + -0.25. Let d = 10 + g. Put 0.4, d, n in decreasing order.\nAnswer: 0.4, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -0.3 (c) 4\/5 (d) -0.017\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oojeoqooojejoj. Give prob of sequence eqjj.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106312 by -388.\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1017933 divided by -48473?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(-114*j + 77*j - 122*j)*(-3*j**3 + 0*j**3 + 2*j**3).\nAnswer: -318*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4886 - 4890. What is the nearest to 3\/16 in 4, -2\/5, h, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to 0.360694?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 24. Suppose -8 = -2*y + p. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62115069.8 take away 56?\nAnswer: 62115013.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2 - 9 + 3*y + 3*y - 5*y + 4*y + (-y - 1 + 1)*(0 + 1 + 0).\nAnswer: 4*y - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8006*g**4 - 8297*g**2.\nAnswer: 192144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1116, 2430, 3744, 5058?\n\"Answer: 1314*c - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/(f**(1\/4)*f))*f))\/f)**43\/((f**(-1\/3)*f)\/(f*f**(-2))) assuming f is positive.\nAnswer: f**(-1181\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 8, q: 5}. Give prob of sequence qqqq.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38 times 69.60942?\nAnswer: -26.4515796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**3 + 20*m**2 = 0. What is m?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 248107400 and -1626.38.\nAnswer: 248105773.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 3*x + 3*x - x**2 - 2*x**3 + 8 in the form k*x + p + q*x**2 + u*x**3 and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-680)\/(-17)))\/(((-1)\/(-2))\/(28\/(-70)))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -d - 2. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgg when three letters picked without replacement from mmmmmmmgmggm.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 10 = 2*t. Suppose 0 = 5*x + 3*q + q + 31, t*q = 5*x - 5. Let o(f) = -3*f - 3. Let i be o(x). Solve 0 = i*h - h + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 z when two letters picked without replacement from rrrprprrjrrrzzpjrjr?\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -10*z - 12. Let i(u) = -u**3 + 5*u**2 - 3*u + 6. Let r be i(5). Let h be k(r). Suppose -h = 2*d - 4*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -3\/2 (b) -0.4 (c) -2 (d) 2149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**4 + 2*g**4 + g**4)*(0*g + 0*g - g) + (0 + 5 - 3)*(67 - 67 - g**5).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 8*q + 8. Let a be g(-7). What is the remainder when (-1 - 12)*-3*a is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.027*-0.0444\nAnswer: 0.0011988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 258301283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -648 - -922. List the prime factors of p.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 9*c - o - 22 = 0, 0 = 2*o - 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -112*j + 472. Is f(-8) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 56, 109, 162, 215, 268?\n\"Answer: 53*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -15665*h. Let v be q(0). Factor v + 3\/2*m + 19\/2*m**3 - 11*m**2.\nAnswer: m*(m - 1)*(19*m - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**4 + 52*h**3 - 456*h**2 + 128*h + 2432 = 0 for h.\nAnswer: -19, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -5 (c) -6\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y. Let w(t) be the third derivative of 33*t**2 + 0*t**4 + 0*t + 0*t**3 + 1\/30*t**5 + 0. Calculate n(w(q)).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1015, 1028, 1041, 1054?\n\"Answer: 13*t + 1002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - (-16 + (17 - 6)). Solve 2*t - 13 = -4*l + a, 3 = -t + 3*l for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 18261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 103645370 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 10 + (12 - ((3 - 9) + 11)) - -27.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = i - 6*i. Let p(b) = b + 1. Let m be p(-1). Suppose 5*r - 3 - i = m. What is the remainder when 29 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000032789818 rounded to six dps?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 8:58 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6305583 to the nearest integer?\nAnswer: 2511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1. Let v = 189 - 183. Let q(i) = -i**3 - i - 6. Calculate v*j(w) + q(w).\nAnswer: -w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 105182 - -8?\nAnswer: 105201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*1*sqrt(68) + ((1*sqrt(68) + sqrt(68))*4 - sqrt(68)))\/((sqrt(64) + sqrt(4))*-5 + sqrt(256) + 1*sqrt(256)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1) + 53 + (-63 - -24) + -54\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973486 > 1973486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = v - 5, -3*x - 3*v = 21. Let o be 1\/((-1)\/x + 0). Find the third derivative of -o + 11 - 4*i**6 - 3 - i**2 wrt i.\nAnswer: -480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 11*a - 5*a + 4 + 2*a. Let o = -153 - -158. Let v(b) = -12*b - 6. Let i(s) = o*v(s) + 7*x(s). What is the derivative of i(p) wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6471695767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 142 - 130. What is the least common multiple of q and 28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 3:27 AM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)*t**(-1)\/t*t**(1\/9)*t**(2\/5)*t*t)\/((t*t\/t**(-1\/3))\/t**(-7)*(t\/((t*t**(1\/2)*t)\/t*t))\/(t*t\/(t**(-4\/3)\/t))) assuming t is positive.\nAnswer: t**(-809\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 2.4, -1, -6, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**5\/60 + d**4\/12 - 4*d**3\/3 - 40*d**2\/3 - 2*d - 513. Factor s(p).\nAnswer: (p - 5)*(p + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20936677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1561, 6813, 15567, 27823, 43581, 62841?\nAnswer: 85603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21551?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -203 at most -1852?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106460*s**2 + 54882*s**2 + 51582*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6d + 45?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**3 + 127*c**2. Let i(r) = 3*r**3 + 128*r**2. Calculate 4*f(p) - 3*i(p).\nAnswer: -p**3 + 124*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*-2*(-2)\/8. Let z = 534 - 533.057. Let i = z - -0.057. Which is the closest to i? (a) 2 (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 378.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3805\/8 + 478. Find the common denominator of (-144)\/(-10)*2\/3 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -6*s + 24. Let r(u) be the second derivative of 0*u**s - 3*u + 0 + 1\/24*u**4 + 1\/20*u**5 - 1\/12*u**3. Factor r(d).\nAnswer: d*(d + 1)*(2*d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*b + b + b)*(370 + 38 - 86) to h + t*b and give t.\nAnswer: -1932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 16) to base 2\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*u - 3*w = 273, 0 = -2*u - w + 194. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p, 18*p - 21*p - 15 = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**3*z**2 - 2*m**3*z - 76571*m**3 + 4*m**2*z**2 + 9*m*z**2 + 12*z**2 - 7 wrt m?\nAnswer: -6*z**2 - 12*z - 459426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Let p = z - 2.85. Let f = 0.15 - p. What is the biggest value in f, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-523\nAnswer: -2092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (0\/1)\/(-4) + 4 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/63681490 and 73\/30.\nAnswer: 191044470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 4 = -5*v + b, -5*v - 2*b = -28. What is the least common multiple of v and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (585\/(-650))\/(((-40)\/(-100))\/((-2)\/3)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - b + (-3 + 1 - 2)*(4 - 4 - 2*b))*(0*b + 6*b + 0*b) to l*b + m*b**2 + a and give m.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 124*v**2 + 251*v + 126.\nAnswer: -(v - 126)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -26*o**4 - 24*o**3 - 223. Find the third derivative of v(d) wrt d.\nAnswer: -624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1130 and 288630250?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/25? (a) -5 (b) 0.4 (c) 21 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 148497.7, 5.2?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvggvvvvnv. Give prob of picking 1 g and 1 n.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-20)\/k**(-2\/7)*(k*k**(2\/67)\/k)\/k**(1\/25))**(7\/11) assuming k is positive.\nAnswer: k**(-231269\/18425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 4. Suppose -w + t*w = 5. Solve -3*f = d - 3, 5*d - 2*f + w = -7*f for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 4 - 3)*((-4*n - 1275 + 1276 + 3*n)*(-5 + 0 + 3) + 2*n - 3*n - 2*n) as z + c*n and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 156 = -0*r. Suppose 3*t - r = -t. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -206.88.\nAnswer: 620.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16200, -65161, -146762, -261003, -407884, -587405, -799566?\nAnswer: -1044367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -s - 13, -3*s = -5*s - 4*i - 66. Let n be ((-12)\/15)\/(1\/s). Solve -4*a = n, 0 = 2*f - f - 4*a - 23 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of d**3*g + 65*d**2*g - d*g + 1140*g wrt d?\nAnswer: 3*d**2*g + 130*d*g - g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 5*l - 839 - 304, 0 = 3*j - l - 860. Is j a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.831 + 0.7761. Let t = -0.1489 + 0.0859. Let w = t - v. Round w to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 348233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038 times -0.5?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p - 3*p - 160*p**2 - 89*p**2 + 264*p**2.\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -1880 and -288\/13 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12853134 and 44289.\nAnswer: 244209546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-5))\/(18\/135). Suppose 0 = -3*y - 3*a + 18, -4*y - h*a = -2*a - 15. Solve q - 6 = y*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 18*q + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174714 divided by -200.\nAnswer: -87357\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -3 + 1 + 0. Suppose -u = -5*q + 14. Suppose -y + q*y - 6 = 0. What is the remainder when 4 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/3 and ((-450)\/32)\/(9\/(-12)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.335*-189.\nAnswer: -63.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + r + 2*r + (0 + 1 + 1)*(-3*r + 6*r - 2*r))*(-4*r**2 + 4*r**2 + 2*r**2)*(-13*r - 3 + 3).\nAnswer: -78*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q + 81. Let n be 8\/(-6)*6\/(-4). Suppose -n*t - 2*t = -144. What is the highest common divisor of t and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 5*t**2 + t - 6. Let s be n(-6). Let y = -12 + s. Solve -y = 4*f - f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -27, -5, 43, 123, 241?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -373.06907.\nAnswer: -373.06907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 116932 divided by -57\nAnswer: -116932\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 7:13 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21311425 (base 6) to base 5.\nAnswer: 130202104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -167 - -174. Calculate the highest common divisor of 56 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 79, 102, 135, 178, 231, 294?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*l**2*r**2 - 118*l**2 - 12*r**2 wrt r?\nAnswer: 4*l**2*r - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2533\/2 - -1294. What is the common denominator of 100\/(-312) - 4\/(-26) and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51022998 a multiple of 755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2. Suppose -5*u + u - 3*v = -50, 4*v = -2*u + 20. Let m(c) = -u - 5*c**2 + 14. What is r(m(o))?\nAnswer: 50*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*g + 2*g**2 - 281*g**3 + 0*g**2 + 282*g**3 - 4*g**2 as w*g**3 + c*g**2 + i*g + z and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*r - 5*r. Let i = 29 + -24. Find the second derivative of -7*n - 4*n**2 - 11*n**i + r*n**2 + 13*n wrt n.\nAnswer: -220*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.038 and -4\/17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 15*56271\nAnswer: 844065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 8:04 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 + 39 = 2*m. Let o = m + 88. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119848 + 239712 + 31*z - 119864 - z**3.\nAnswer: -z**3 + 31*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -479, 656, -3.\nAnswer: -479, -3, 4, 7, 656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/3)*r**(-6)*(r\/r**(1\/5))\/r**(1\/4))**42 assuming r is positive.\nAnswer: r**(-2009\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47296 is divided by 1027.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c - 6. Let l be g(4). Let o(t) = t**2 + 2*t + 1. Let b be o(-2). Is (-4270)\/(-5)*b\/l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10617 equal to -8426?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 17 = -4*a, 3*a + 7 + 10 = 2*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -6*c + 17. Let i be v(2). Suppose -1 + 16 = -i*w, 0 = 2*u + 5*w + 199. What is the hundreds digit of -18*(u\/8 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11459ed (base 15) in base 12?\nAnswer: 4187607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 + 97. Which is the closest to -2\/7? (a) h (b) 22\/5 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16028610*b*o**5 + 8*b*o**4 + 2*b*o**2 - 1036*b*o + 116*b + 5*o**2 - 4*o - 2 wrt o?\nAnswer: 961716600*b*o**2 + 192*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -52, 2, 2\/7, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95270489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1612, 1\/7, 2.\nAnswer: 1\/7, 2, 1612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2663?\nAnswer: 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 12*x**2 - 38*x + 23. Let s be n(7). Suppose s*r - 3 = 3*r, -3*y + 9 = 3*r. Solve 4*b + y*b = -50 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 9*b - 27. Calculate n(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/13 (b) -2\/11 (c) 3 (d) 99 (e) 21 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t + 30. Let v be s(16). Let o be 2 - 91\/35 - v\/(-5). Calculate the common denominator of 624\/(-160) - (-3)\/o and 9\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.9 - 20.9. Let m = -0.46 - -4.46. Let r be (-25)\/91 - 4\/26. What is the closest to 0.1 in r, m, h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 6:03 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -100100001111000 (base 2) to base 9\nAnswer: -27403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u - 58. Let w be n(-23). Let y(s) = 10*s + 23 - 5 - 23*s + w*s. Determine y(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvmvvvvvkkmkvl. Give prob of sequence mk.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 + 9*m + 19. Let w(h) = -h**2 - 3*h - 6. Let o(x) = 2*u(x) + 7*w(x). Let a = -6259 + 6262. What is o(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 2:40 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 0*t. Suppose -5*b + t*b = -4*a + 284980, -5*b + a = 284995. What is b rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 2*v - v**2 - 9 + 11*v**2 - 12*v**2 to the form q + s*v**2 + o*v and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32331034341 - 0?\nAnswer: -32331034341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = q - 1. Let o = -4 - 1. Let f = o - q. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 176 - 148. Let f be -7*(80\/g)\/(-5). Suppose -d - 5 = -14. Solve -2 = 3*o - 2*s + 15, o = f*s - d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1 (b) -0.6 (c) -52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4 times 1423144?\nAnswer: 4838689.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 404 + 422 + 389 - 1222.\nAnswer: -2*p - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10808 (base 10) to base 8.\nAnswer: -25070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.9 + -13. Sort -3, -24, l.\nAnswer: -24, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 5*r - 4. Let x be t(-1). Does 198 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4) + 3\/12. Let v(m) = 3*m**2 + 53. Let a(o) = -10*o**2 + o - 159. Let l(h) = 2*a(h) + 7*v(h). Is l(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -0.3, -2, -1.1, -2\/25?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**3 - 2965*p**2 - 190800*p + 82296000.\nAnswer: -5*(p - 127)*(p + 360)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14 - -12)*(19 + -1). Let j = c - -56. Let m = 51 - j. Calculate the remainder when 92 is divided by m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-36)\/(-27) - 82\/66 and 22\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/5*325\/(-130)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1250 and 167794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**3\/6 - 6*k. Determine w(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171) + 2 + (sqrt(95)*2)\/sqrt(5) - (-4 + ((sqrt(1216) - (sqrt(1216) + -1 + sqrt(1216))) + sqrt(1216))**2).\nAnswer: 5 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.74 - 1.26. Let h = -0.01 + -0.39. Let c = -289\/5 + 58. What is the biggest value in c, w, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95183.\nAnswer: 11, 17, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*i + 5*t + 19, -3*t = 2*i - 19. Solve -3*l + i = q, -l = -2*l + 4*q - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25492.676225 + 25492. Let m = h + 0.676. What is m rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 192*d - 8082. Calculate i(61).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -47*y**2 - 390*y + 5. Let k be g(17). Which is smaller: -20209 or k?\nAnswer: -20209","meta":{"dup_signals":{},"source":"comparison__pair_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: What is 0.000571544 rounded to 5 dps?\nAnswer: 0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.8 or 0?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-12))\/((17673\/(-1978))\/137)?\nAnswer: -23\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/10)\/((-2732)\/(-415264))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(-2*s**2 - s**2 + 2*s**2) + s**2 - 3*s**2 + 4*s**2 + 335 + 233 - 254*s**2 + 252*s**2.\nAnswer: -s**2 + 568","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(0 + 0)*1. Suppose 4*d + q*d = 136. Let a = -17 + d. Calculate the remainder when 48 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.04 (b) -237 (c) 22\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1073*t - 2460*t - 2100*t.\nAnswer: -5633*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 29*d**2 - 3*d - 1. Let m(p) = 43*p**2 - 4*p - 1. Let b(f) = 5*m(f) - 7*q(f). Calculate the remainder when b(2) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195949972*h + 195949972*h - 117*h**2.\nAnswer: -117*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f + 1376 = 86*f + 21*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 128132 + -75692. What is the highest common divisor of 190 and a?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3705834)\/5 + (-1)\/5. Let x = g - -512167. What is x rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007808261417 to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 7*w + 5. Let k be a(-4). Solve -3*q + k = 5 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134036?\nAnswer: 2, 7, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(99)*-4)\/(3*sqrt(324)).\nAnswer: -2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -590*g - 5*g**2 - 5*g**2 + 597*g - 18 + g**3. Let v be t(10). What is the greatest common divisor of v and 104?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -179 and 0.15.\nAnswer: -26.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n + n**3 + 5*n**2 - 1 - 4*n**2 + n**3 - 14*n to a*n + f*n**3 + k + y*n**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (666 - 330 - 440)*(-4*d**2 + 0*d**2 + 5*d**2)*(-4*d**2 - 3*d**2 + 6*d**2) to h + r*d + y*d**4 + k*d**3 + z*d**2 and give y.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12534625 + 4?\nAnswer: -12534621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.2 + 2. Let b = -51\/1672 - 108257\/342760. Let i = -6\/41 - b. Put a, i, 3 in decreasing order.\nAnswer: 3, i, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 920932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 293784719?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-224) - (-2)\/(-8). Put 2\/7, 0, b in decreasing order.\nAnswer: 2\/7, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -12) + 6 - -27 - 2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from czzcccssscscs. What is prob of picking 2 c and 2 s?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*n - 70 - 20. Solve 7*m - 2 = -n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 8*h**2 + 10*h - 5. Let r = -6 + 15. Let p be l(r). Let -4*f**4 - 4*f**3 + p*f + 4 - 3*f**2 + 0*f**2 + 3*f**4 = 0. What is f?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12754 and 4555.\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 126\/5 + -25. Put v, 0.1, 4, 2\/7 in ascending order.\nAnswer: 0.1, v, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 - 42*o - 180. List the prime factors of c(46).\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*r + 19 = 0, -142*b + 139*b = 3*r + 18. Which is bigger: b or -119\/18?\nAnswer: -119\/18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-2) - 1\/(-2)) + -4. Let t be j\/(-6)*3 - (-2)\/1. Suppose -5*y + 68 = s + 3*s, -64 = -4*s - t*y. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*w**2 + 6*w**3 - 44*w**2 + 17 - w**4 + 82*w**2 as c*w**2 + z*w**4 + u*w + q*w**3 + i and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*i**4*n**2 - 8*i**4 - i*n**2 - 6*i - 4*n**2 wrt i.\nAnswer: 84*i**2*n**2 - 96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51695)\/(-5908)*(-1)\/(-10).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 2. Let h be x(4). Suppose p - 28 = -h. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 185 divided by -1\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 3*r - 11, -3*k - 4*r + 2 = 15 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5084, 20388, 45894, 81602, 127512?\n\"Answer: 5101*w**2 + w - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 365*d - 9 - 10.\nAnswer: -365*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17875 and 427747125?\nAnswer: 1625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 8*q**3 - 6*q + 7. Let n(j) = 7*j**3 - 5*j + 6. Let y(f) = 10*f**3 + 5 + 0 - 9*f**3. Let m be y(0). Give m*l(h) - 6*n(h).\nAnswer: -2*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 551\/3 or 183?\nAnswer: 551\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2 = -5*h, -w + 6*h - h - 4 = 0. Let d be w\/1 + (-6 - -6). Solve 4 = -b + d for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15413 (base 10) to base 7\nAnswer: 62636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 6188?\nAnswer: 5\/6188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1365.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 17*k**7\/3360 + k**6\/720 - 17*k**5\/480 - k**4\/48 + 35*k**3\/6 - k. Let r(c) be the second derivative of b(c). Factor r(q).\nAnswer: (q - 1)*(q + 1)*(17*q + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1653743 is divided by 786.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**2 - 7*c + 4. Suppose -3*f + 49 = 34. Calculate the remainder when (-17)\/68 - (-145)\/4 is divided by o(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -382, -103, 586, 1877, 3962?\nAnswer: 7033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**3 + 6*f**2. Let t(g) = -5*g**3 - 11*g**2 - 1. Calculate 7*i(b) + 4*t(b).\nAnswer: b**3 - 2*b**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(-4 + 4 + b**5) + 0*b**5 + b - 352*b**3 + 342*b**3 - b**5.\nAnswer: -2*b**5 - 10*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qffqqffqqf. What is prob of picking 3 q?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-16\/5)*b)\/b*b**15\/b)**(-39) assuming b is positive.\nAnswer: b**(-2106\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/(-10)*(-1)\/((-140)\/21).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*k - 11082, -4*i + 3*k = -3*i - 5543. Let o = i - -1940. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12813 - 12813. Let v = 0.02 - 0.42. What is the closest to 6\/7 in v, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 + 397. Suppose 0 = -5*x + 69 + q. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -2, -4, -22?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-105)\/(-28))\/(3\/12). Suppose 3*m + 2*m + j = 0, -5*m - 6 = c. Solve 6*p - 15 = p, -5*s + 2*p = -c for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/2 and -111\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10686954 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -27.3, 3, 3\/4, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 9:52 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 2*n**2 - n + 7. Suppose 77*o - 74*o + 9 = 0. Let g be z(o). Sort 5, g, 53, -4 in decreasing order.\nAnswer: 53, 5, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/105 (b) 2\/9 (c) -0.3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 4*b**3 + 5*b**3 - b**2 - 31*b.\nAnswer: b**3 - b**2 - 29*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + -5 + 3 - -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*m**4 - 113*m**4 - 165*m**4)*(-3 - 1 + 3)*(-1 - 2 - 1).\nAnswer: -760*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 62440*l - 49 = -62435*l, 8*j = 3*l + 119 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - 6 - (-11 - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-15) - 8\/(-6). Suppose 0 = g + 1, 5*n - w*g - 57 = 25. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77*(-7)\/686*-14.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 27983\nAnswer: 8394.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 1. Let n(o) = -24*o**3 + o**2 + 5. Give n(q) + 5*r(q).\nAnswer: -19*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-630)*-7)\/(3\/(-30))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 58 = 265*i - 269*i, -16*l - 58 = -2*i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4767763 and 25168.\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-146)\/((-1)\/(4*(-21)\/126)))\/(4\/6)\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -1675002*h + 8. Suppose -3*j = j - 16. Let v be c(j). What is v rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-3))\/(20\/180). Suppose -121*h**3 + 10*h - 4 - 3*h + 120*h**o - 2*h**2 = 0. Calculate h.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*a = 52 + 238. Let z(n) = n**2 - 10*n - 16. What is z(a)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 220 - 420?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-168))\/(1250\/(-2000)*3\/((-45)\/6))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.02, -1, 2\/7, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9168444 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1045\/274 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 33.13 times -1.73\nAnswer: -57.3149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.4042467 rounded to 0 dps?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1519, -3041, -4567, -6097, -7631, -9169, -10711?\n\"Answer: -2*g**2 - 1516*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 49*g - 87. Let o be t(47). Solve -o*m = 7*m + 42 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7699, -7272, -6837, -6394, -5943?\n\"Answer: 4*z**2 + 415*z - 8118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)\/(a*a\/((a*a*a*a\/(a\/(a**(-1\/3)*a))*a)\/a)))\/(a*a**(-3)\/a*a*a\/a**(1\/3)))\/((a**1)**(1\/17)*(a**(2\/17)*a)\/a**2) assuming a is positive.\nAnswer: a**(31\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(26)*-1)\/(sqrt(72)*1 + sqrt(72))*2 + -5.\nAnswer: -5 - 5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 2\/3 (c) 5 (d) -3\/4 (e) 8190 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*w**4 - 7*w**4 - w**4)*(-4 - 2 - 8).\nAnswer: 308*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -92*((-891)\/108)\/33?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -76.3827 to zero dps.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 104 + 1261?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 8*x**2 - 13*x + 7. Calculate k(8).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l + 4*l)*(4 + 0 - 2) + 186 - 35*l + 13*l + 23*l - 148 - 6*l + 148.\nAnswer: -l + 186","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**2 - 2\/35*z**7 + 0*z**3 - 1\/112*z**8 + 0*z**5 - 10 + 0*z**4 + 0*z - 1\/10*z**6. What is t in m(t) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + t - 1 - 0, 3*q = t + 15. Let x(l) = l**3 - 3*l**2 - 4*l + 5. What is the lowest common multiple of x(q) and 3*3\/(-1)*-1?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) -1 (c) 31\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 558 + -272. Let p(c) = c**3 - 2*c**2 + 6*c + 22. Let f be p(0). Calculate the highest common divisor of d and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 651, 1210, 1773, 2340?\nAnswer: 2911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((0 - 4) + (6 - 3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10461.\nAnswer: 3, 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/((1\/6)\/((-32)\/(-288)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 36 = 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 254661562 and -5.\nAnswer: 254661557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/4*(-2)\/(-32)*-19*8?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558*q**3 - 262*q**3 - 288*q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10.9? (a) 1853 (b) -0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19505 and 66505?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2658 - 16.7342. Put 0.03, 4, g in increasing order.\nAnswer: g, 0.03, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00276453 rounded to 5 decimal places?\nAnswer: 0.00276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -98 + 97. Suppose 0 = 4*f - 39 - 21. Let h be 15\/18*(-6)\/f. Which is the nearest to 0? (a) u (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2\/5 - 1291108*d - 1041849917290 = 0.\nAnswer: -1613885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + (-2)\/1 + 6. Sort -1, 0, n.\nAnswer: n, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 283628 from 0.171.\nAnswer: -283627.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5242 is divided by 473.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3105 - 3203) + (-1 + -9 - 1)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2 + r**2 + 0*r**2. Let g(p) be the second derivative of -p**4\/12 - 43*p. Give g(x(l)).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_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: In base 15, what is -2 - d2?\nAnswer: -d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -180071?\nAnswer: 180071.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = o + 47, -30*o + 25*o + 17 = 3*y. Suppose -2*b + 3*c + 69608 = 0, -y*c = -2*b - 4*c + 69604. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w + 0*w - 3*w)*(1 - 2 - 4)*(-3*w + 4*w - 2*w)*((-2 + 3 - 3)*(-5 + 38 + 16) + 0 - 3 + 2) to m*w + p*w**2 + g and give p.\nAnswer: 990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10\/2741 - 13276\/868897. Which is greater: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1133\/2781 - (-8)\/(-108). Which is the nearest to -6\/415? (a) -2 (b) -1\/4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000817055 to 7 dps.\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.3, 0.5, -3\/26 in decreasing order.\nAnswer: 0.5, 0.4, 0.3, -3\/26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 120.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 1. Let m(p) = -2*p - 15. Calculate m(k) + r(k).\nAnswer: -3*k - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/((-6)\/(-4)))\/1*(-705)\/470. Let m(t) = -4*t. Let c be m(-1). Put 33, c, p in decreasing order.\nAnswer: 33, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6.0707 (b) 0.1 (c) 0.168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/(-5) + (-4)\/(-10). Let f(q) = 5 - 5*q + 4*q**2 + 0*q**2 - 4 - 2*q**2. Let r be f(t). Solve 3*h = -1 + r for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -1. Let z(f) = -6*f**2 + f - 5. Let q(w) = 5*b(w) - z(w). Calculate q(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45 + 558324?\nAnswer: 558370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 5\/6 (b) 72 (c) 0 (d) -1 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 63, 105, 163, 243, 351, 493, 675?\nAnswer: 903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 8. Let i = 6.52 - 6.22. What is the closest to o in 0.05, i, 2\/9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -0.5 (c) -0.9 (d) 0 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**4\/4 - p**3\/3 + 7*p - 1. Let d = -8 - -4. Let f = d - -4. Give l(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -747318, -747273, -747198, -747093, -746958, -746793?\n\"Answer: 15*q**2 - 747333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34*k**2 + 11*k**2 + k**3 + k**3 - 32*k**2 + 21*k wrt k?\nAnswer: 12*k - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(99) - sqrt(99)*-1*6) + -2 + 5)**2 + 1.\nAnswer: 294*sqrt(11) + 4901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 - 6905*o - 20760.\nAnswer: 5*(o - 1384)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-3\/5))**(12\/7))**(18\/7)\/((m\/(m\/(m*(m*m**2*m)\/m*m)))**(-39)\/(((m**(-2)\/m)\/m)\/m)**(1\/2)) assuming m is positive.\nAnswer: m**(97781\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + l + 4*l**2 + (-4*l + 2*l + 0*l)*(-l - 2*l + l).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(19) - sqrt(76)\/sqrt(4))**2 + -6*sqrt(684) + 2*(sqrt(2736) - (sqrt(2736) + (sqrt(2736) - (sqrt(2736) + 0))**2)) + sqrt(2736) + 3*sqrt(2736)*-2.\nAnswer: -96*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -30. Let y = -45 - -52. Suppose -12*v + y*v = -210. Calculate the remainder when v is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1 + -2 - 0. Let u = -11\/35 - 9\/35. Let t = -3.42 + -0.58. Which is the closest to m? (a) t (b) 4\/3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 10:48 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 360233.3mm to centimeters.\nAnswer: 36023.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 4 + 5 + sqrt(320) + -1 + 2 + (sqrt(320)*1 + 0 - sqrt(320)) + -3.\nAnswer: 7 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 11*l + 8*l**2 + 5 - 17 - 5*l**2. Calculate the remainder when q(4) is divided by 29.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 337 = -2*z - 3*b, -5*z = 3*b - 848. What is the remainder when z is divided by 47?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -42 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*n - 4*f, 5*f + 3 = -n - 7. Suppose 3*a + n*b = 4*b + 2, 3*a + 2 = 5*b. Solve 0 = a*p - 4*p - 4*v, p - 3*v = -2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(7 + 88\/(-12)). Let n be (y\/24*-18)\/((-6)\/(-8)). Solve -6*d + 2*d + x - n = 0, x - 16 = 5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -12*r + 7. Let n be (7\/2)\/((-1)\/2). Let u = 4 + n. Is t(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 10:58 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3396*a**4 - 13*a**3 + 3*a**2 - 9058*a wrt a?\nAnswer: -81504*a - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -1 - 9. Let q be d\/((-15)\/12) - 2. Which is the closest to 3? (a) -2 (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p*q*u - 7*p*q - 2*p*u - 6*p + 210*q*u + 2*q - 2*u - 36 wrt q?\nAnswer: 2*p*u - 7*p + 210*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19984555 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 39662.79\nAnswer: -198313.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -16, -34, -52, -70?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1.4, -26?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 414077207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*q - 3508. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 5. Let p = w - 3. Is -1 - 3\/p - -13 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 116 = -4*o + 360, -3*n - 5*o = -136. Suppose 2*j - 13 = -2*d - d, 20 = 4*j. Suppose -m + n = -d. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 4*t + 118 - 96, -2*t - 6 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -6 - (-21 - 11\/((-66)\/(-18))) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 0*z + z)*(0*z - z + 3*z) - 413815 - 1595*z**2 + 413815 to m*z**2 + b*z + w and give m.\nAnswer: -1589","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/385 and 53\/182455.\nAnswer: 2007005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 58. Calculate the remainder when 8\/32*-2 - (-1012)\/8 is divided by p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5126 - -2340. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -145*f**4\/12 + 2*f**3\/3 - 19*f**2\/2 + 205*f. What is the second derivative of c(g) wrt g?\nAnswer: -290","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 150 = -21*f. Suppose 190*i - 192*i = -4. Suppose -4*n - i = -f. Is n <= 62\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3457*z**2 + 2*z - 533*z**3 + 261*z**3 + 271*z**3.\nAnswer: -z**3 - 3457*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (0 - ((1 - -2) + -1)) + -3 - (1499 - 1493)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -12*d + 15*d + 67, -3*d - y = 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(((-20)\/120)\/(17\/102))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 193160843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81616*k**4 - 80066*k + 1 wrt k.\nAnswer: 979392*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 1 = w - 4*b, -5*b = 3*w - 10. Suppose 3*y - 9 = -w*l, 3*y + 8 = -l + 17. Solve -y*d + 30 - 45 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 48, 148, 298, 504, 772, 1108?\n\"Answer: h**3 + 19*h**2 + 36*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17447 + 17468. Which is the second biggest value? (a) 0 (b) -2\/3 (c) m (d) -0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 642 and 11062302.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -0.2, 5, 56\/15979, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*q**2 - 249987*q + 249987*q.\nAnswer: 44*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*f**2 - 292*f**2 - 4*f**3 + 0*f**3.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -271, -291, -311, -331?\n\"Answer: -20*m - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 50 - 50 + 10*b + (-2*b + b - b)*(3 + 0 - 1).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188 - 1833 = -235*p. What is the closest to 0 in 1.5, -3, 2, p?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z - 3. Let q(b) = -4*b - 2. Let a(t) = 2*q(t) - 3*r(t). Let g be (-54)\/13 - 21\/((-1365)\/10) - 3. Give a(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66671 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(252)*-2 + -3)**2 - sqrt(252)) + 1 + sqrt(252) + 2 - ((sqrt(252) + -1)**2*3 + (sqrt(252) + -1 + 1)**2)) + 5.\nAnswer: 12 + 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 243340 + 1014?\nAnswer: 244404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21581 and 412363?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2254, -2249, -2244, -2239, -2234?\nAnswer: -2229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1835 <= -1833?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - 4*m + 7*m + 2*m + 3*m - 2*m + (-4 + 5 - 3)*(-7 - 13 + 1)*(-m + 2*m + 0*m).\nAnswer: 45*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 289.9 - 290. Let h = 115 - 41. Let m = -739\/10 + h. What is the closest to r in 1\/2, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 + 8*u + 2. Let p(j) = -7*j**2 - 5263*j + 5. What is p(c) - 3*r(c)?\nAnswer: -c**2 - 5287*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-70)\/(-21)*24\/10. Let h be (-5)\/((-60)\/q)*1*-3. Factor 4*y**3 + 3*y**4 - 4*y - 5\/3*y**h - 4\/3.\nAnswer: (y - 1)*(y + 1)*(3*y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*r**2 - 2 + 2)*(2*r - 2 + 0*r + 8*r**2 - 10*r**2).\nAnswer: 24*r**4 - 24*r**3 + 24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 2 + 2)*(-f + f + f) + 5*f**2 - 4*f**2 + 3*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p + 6. Let r be a(-6). Suppose 3*w + w = 5*o + 33, 2*w - 4*o = r. Suppose w*s + 60 = 12*s. Sort -5, -2, -4, s.\nAnswer: -5, -4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 328*m**3 - 7606 + 7606 + m**2 - m**2 + m**3 + (3 + 2 - 3)*(2*m**3 + 0*m**3 - 3*m**3) - m**3 + 0*m**3 + 0*m**3.\nAnswer: 326*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 112580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*p + 2592*p**2 - 409*p + 205*p.\nAnswer: 2592*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*y + 256 - 653, 0 = y + 2. What is the thousands digit of f\/(-6)*15040\/(-200)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99855000 rounded to the nearest one hundred thousand?\nAnswer: -99900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 13. Suppose -2*z + 70 = -s. Let m = z + -39. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 l when three letters picked without replacement from {d: 3, p: 1, l: 6, j: 2, n: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-63)\/(-7)*(-1 - -2). Suppose -w*z - 8 = -11*z. Suppose -3*q = -z*q + 419. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/3401 - 227899\/54416. What is the common denominator of y and 546\/(-396) + 6\/(-9)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 - 2*j**5 + 4*j**5 + (-3*j + 3*j - 2*j)*(-6*j**2 + 2*j**2 + 2*j**2)*(6*j**2 - 3*j**2 - j**2).\nAnswer: 11*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 3*c = 8, -2*c + 1 = -2*p + c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 11*t - 4. Let z be r(10). Let i = 8 - z. Solve 0 = 3*o + 5*p - 12, 0 = -5*o - p - i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 223*j**9\/504 - j**5\/60 + 5*j**4\/12 + 44*j**2 - 1. Find the third derivative of k(y) wrt y.\nAnswer: 26760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*(-120)\/(-220)*2\/(-20).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 906711601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.02 + 0.02. Let s be (4\/8)\/(3\/(-4)). Which is smaller: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-21)*12\/(-3)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + t = 18, t - 3*t + 23 = -k. Let y be 3*-1 + (k - -19). Let a(s) = 4*s. Let r(x) = 4*x - 1. Let b(j) = -3*a(j) + 2*r(j). What is b(y)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -17\/107?\nAnswer: -17\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 237506720 divided by -7422085\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y**2 + y + 4. Let w be g(2). Let t = -14 - w. Solve 0 = t*b - 4*c + 8, 4*b - 5*c + 12 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213, -334, -455, -576?\nAnswer: -697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 7*z**2 - 8*z + 12. Let o be c(6). Suppose 2 = 2*r - o. Let t(m) = m**3 + 2*m - 1. What is t(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((5*sqrt(396)*1 - (sqrt(396) + -5*-1*sqrt(396) - sqrt(396))) + -1*(-1 + -1 + sqrt(396) + sqrt(396) - 4*1*sqrt(396))))**2.\nAnswer: 48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 8*r + 25. Let u = 16 + -17. Put u, 1, r in increasing order.\nAnswer: r, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0406 + 0.0206. Sort 1\/11, u, 3\/2 in descending order.\nAnswer: 3\/2, 1\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.16 + 0.46. Let b = -4.9 - 0.1. What is the second smallest value in y, b, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -395995*t**3*u + 43075*t**2*u - 3*t**2 wrt t?\nAnswer: -2375970*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4310592 is divided by 478943.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -667765 + -4?\nAnswer: -667771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 10:48 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.9721 + 6.94. What is k rounded to 3 dps?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g. Let c(j) = -j**3 + 15*j**2 - 3*j + 35. Let u be c(15). Let m be ((-10)\/u)\/((-2)\/(-18)*3). Let b(s) = 3 - 423*s + 425*s - m. Determine b(d(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6464 - 6523.09. Let h = a - -58.5. What is h rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3002 (base 4) to base 14.\nAnswer: dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -l**4\/4 + l**3\/3 + l**2 - 4. Solve t(f) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148 and 2440409.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.143 in -1, -0.3, 0.2, 4, -4\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjajaajjaajjjjji. Give prob of picking 1 j and 3 a.\nAnswer: 11\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 56308759?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 8262*a**2. Let i(t) = t**2. Calculate i(o(q)).\nAnswer: 68260644*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 - 8*g - 1. Give h(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 6*t**2 + 5*t + 7. Calculate the remainder when o(5) is divided by (-102)\/(-24) - 1\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1, 52695, -31?\nAnswer: 52695","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.105370961 to 4 decimal places.\nAnswer: 0.1054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {k: 6, t: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 210518929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 48 - 2408?\nAnswer: -2360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b = -25*b + 2*h + 6, 4*b - h - 21 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4805 + -19207\/4. Let w(h) be the first derivative of 8*h**3 + 14 + 0*h**2 - j*h**4 + 0*h. Find the third derivative of w(m) wrt m.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 19*i - 17. What is u(-8)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from issekeeeeeislsi. Give prob of sequence ei.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -17*d**4 - 17*d**3 + 29*d**2 + 30*d + 23. Let j(i) = 9*i**4 + 9*i**3 - 15*i**2 - 15*i - 12. Let a(w) = 6*g(w) + 11*j(w). Let a(t) = 0. Calculate t.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -34 (c) -0.2 (d) 50 (e) -5 (f) -0.0035 (g) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33685\/(-80844)*(-1)\/20*3.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7*(-10)\/(-35) + 130\/(-55)*-1\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -5*v**2 - 397250*v - 7890378125 = 0.\nAnswer: -39725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*h)*(17*h + 5*h - 17*h)*(0 - 3 + 2).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 - 13330592?\nAnswer: -13330575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2121 is divided by (-42)\/7*(-2)\/9*(-1062)\/(-12).\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zrcq when four letters picked without replacement from qqrqrpcnqznrq.\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 26*h - 93. Determine w(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j = -27*j - 28*j + 8*k + 73, -2*j + 3*k + 2 + 26 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(((-3)\/15)\/(-1)). Solve 6 = -r + 2*n, 0 = 4*n - 3 - o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(304) - -2*sqrt(304)) + -5 + -4 + sqrt(304)*2)**2 - (-1 + sqrt(304) + 3 + 1*(sqrt(304) + (2 + sqrt(304))**2))).\nAnswer: -384*sqrt(19) + 7366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2836 (b) -93 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-21)*336\/(-64)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a**2 + 42*a - 27. Let l(o) = o. Let q(s) = -i(s) + 15*l(s). Determine f so that q(f) = 0.\nAnswer: 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 66.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1169302 rounded to 3 decimal places?\nAnswer: -0.117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522 = 16*n - 10*n. Let y = n + -49. Let p = y + 77. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 + -147 + -2 + -31.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4984.5977 to the nearest 100.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2059, 8238, 18533, 32950, 51495?\n\"Answer: k**3 + 2052*k**2 + 16*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -79256 - 10.0914065.\nAnswer: -79266.0914065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67229, 67230, 67231, 67232?\nAnswer: 67233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 520 and 3068?\nAnswer: 30680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.1635564 to two dps.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 30 = 0, 5*f - 9*i - 2*i - 71 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.386202 - 0.086187. Let z = o - 1.3. What is z rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(21\/2) - (-7060)\/(-14). List the prime factors of (3\/5)\/(1 + w\/510).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 536.\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1389 is divided by 233?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85992 to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**2 + 4*h**2 + h**2 + 20*h**2 + 13*h**2 + 34*h**2 + (1 - 1 + h)*(0*h + 0*h + 2*h) - 4*h**2 + 2*h**2 + h**2 to m*h**2 + a + l*h and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -946 by 1.\nAnswer: -946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4829342, -9658684, -14488022, -19317356?\nAnswer: -24146686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -94, -2660, -6782, -12460?\n\"Answer: -778*l**2 - 232*l + 916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8.7 and 3727508.\nAnswer: 3727516.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 339\/290 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-27))\/(((-8)\/14)\/((-432)\/126))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 3 + sqrt(847) + 1 - -4*((5 + 1*sqrt(847))**2 - sqrt(847)))*4.\nAnswer: 1628*sqrt(7) + 13960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32721225769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2043*d**3*g**2 + 14*d**3*g - d**3 - 9*d*g**2 + 3483*g**2 + 1423604*g - 2 wrt g.\nAnswer: 4086*d**3 - 18*d + 6966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 270811638 to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 7:22 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 594 and 108.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.91 + 2.423. What is j rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3339\/4 bigger than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 3:10 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1318 + -876. Let m = f + -50. Let g = 391.99999661 - m. Round g to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-10)*-14*(-360)\/1120?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 691\/11 + (-20)\/(-110). Let i = -60 + l. Solve 32 = -i*f - 6*a + 2*a, -4*f - 3*a - 31 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 14*g - 10. Let n be m(-13). Solve -n = -3*a + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.079 (b) 0.5 (c) 4 (d) 2.201\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -300031153 + 2?\nAnswer: -300031151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 176 - 168. Suppose -4*d = -172 + 24. Let g = s + d. What is the remainder when g is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10584195136 less than -965?\nAnswer: 10584194171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2900 and 488128?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from zmrvzvemzvmvavmvmm.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7.42 * -1\nAnswer: 7.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59248 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g - 7. Suppose 0 = -2*u + 2*q + 8, -4*q = u + 1 - 10. Let l be b(u). Solve -2*s = -4*m + 6, 5*m + 2*s + l = -3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501*z + 241 + 794*z + 209 - 450.\nAnswer: 1295*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/9*((-60)\/(-25))\/4\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 12210102?\nAnswer: 12210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*f*r**4 + 7*f*r**3 - 2*f*r**2 - 3471*r**2 wrt r.\nAnswer: 168*f*r + 42*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 83*t**3 + t**2 - 3*t + 1. Let q be i(1). Which is greater: 87 or q?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1550122034 + -2?\nAnswer: 1550122032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3 + 2325*p**2 - 6954*p + 4632.\nAnswer: -3*(p - 772)*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-316)\/28 - (-2 - 3) - (-4)\/14. Let m(o) = -22*o. Let q(t) = 7*t. Calculate x*m(g) - 17*q(g).\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - z - 67 = 0, 5*z + 7 = -8. Let n = -63 - t. Let o be 2 - (-2 - n - (-5 + 8)). Calculate the greatest common factor of o and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 966324721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q. Suppose 0 = 4*p - 4*f - 1 + 13, 4*f - 12 = 0. Determine v(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 u, and 1 e when three letters picked without replacement from {s: 2, e: 2, u: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -102102 (base 4) to base 7\nAnswer: -3261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 16 = 3*h, -4*z = -2*h - 124. Calculate the remainder when 143 is divided by z.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -64. Solve r + 3*y + 3 = 0, 4*r + 6*y = y - w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8034)\/(-18) + (-4)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1506379804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.74 + -0.9. Let k = d + 0.2. Let q = 0.34 - k. Put q, -4, -3\/5 in decreasing order.\nAnswer: q, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 - 5*b**2 + 2*b + 4. Let k be h(2). Let z(m) = -6*m**2 + 6*m + 3. Let t(o) = o**2 - o - 1. Determine k*t(y) + z(y).\nAnswer: -2*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*u**4 - 31896*u**2 - 19932084*u.\nAnswer: 456*u**2 - 63792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1825 - -1741.1. What is v rounded to zero dps?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v + 3. Let m(p) = p + 4. Let g be m(-8). Calculate the remainder when 24 + (-3)\/((-6)\/g) is divided by a(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 133\/21 - 12\/9. Suppose -o*b = -0*b - 175. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xl when two letters picked without replacement from ddullxuuldxxuuxudu.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/6*(480\/576 + (-2 - -1)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6407978 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gciygyiyygiygyg. What is prob of sequence gci?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 4299?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-55309)\/(-328) + -88 - 81\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*v**5 - 30*v**5 + 0*v + 7*v wrt v.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - (-1717)\/(-5)) + (-237)\/395. Let z = y + 534. Does 65 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 3*u + 10. Let g(m) = u*m**2 - 5*m**2 + m**2. Let v(p) = -p**2 - 5*p + 14*p - 9*p. Calculate v(g(q)).\nAnswer: -4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 19 = -3*j, -950*j = -3*t - 953*j + 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 841, 6348, 21041, 49432, 96033, 165356, 261913?\n\"Answer: 752*g**3 + 81*g**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3968972 and 1781107?\nAnswer: 6163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**3 + 3*x**3 - 2*x**3 + 4*x + x**3 - 3 + 3 + (3 - 3 + 4*x**2)*(4*x + 2*x - 3*x).\nAnswer: 12*x**3 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/4, 0.3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461 is divided by 93?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 132340 + -2?\nAnswer: 132333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236 is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 263, 21.65, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/1908 and 145\/636.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/1303 - 1283\/13030. Sort 0.5, u, -0.31 in decreasing order.\nAnswer: 0.5, u, -0.31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/39 (b) 0 (c) 2.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -2*z**6 + 11\/3*z**3 + 0*z**5 + 0*z**2 + 0*z**4 + 17 + 0*z. Find the third derivative of b(k) wrt k.\nAnswer: -720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3238402 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 14 - 11. Let g(f) = 6*f**3 - 2*f**2 + 1. Let h be g(-1). Let q be 2\/h - 13\/(-21). What is the nearest to 2 in x, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 AM and 12:34 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -26*v**2. Suppose u + s = 2*s - 10, -4*u = 3*s + 19. Let x be ((-12)\/u)\/(3 + 19\/(-7)). Let c(b) = -x*b + 5*b + 0*b - b. Determine z(c(i)).\nAnswer: -104*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*i**2 - 1)*(3*i + 0*i - 5*i) + 2*i**3 + i**2 - i**2 + 59*i**3 + 164 - 164.\nAnswer: 65*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -26 - 448\/3024*-81?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -4*y - 3. Let p(d) = 7*d + 5. Let s = 15 + -10. Let n(a) = a**2 - a + 3. Let q be n(0). Calculate q*p(l) + s*o(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -4038019 and -4038012 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7 and 565030?\nAnswer: 3955210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/4*(-70 - (-8)\/2) and 134\/146*21\/84.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {m: 4, i: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*p + 8. Let f = 64 - 52. Suppose -4*y = 3*x - p*x - f, -2*x - 4 = y. Calculate the remainder when 11 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4772, -713, 2 in ascending order.\nAnswer: -713, 2, 4772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4723, -10\/7, 3, 5 in descending order.\nAnswer: 4723, 5, 3, -10\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 21. Let u = -5 + g. Let d = u - 4. Which is bigger: d or -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = -6*o + 6. Let a(c) = 0*c**2 + c - 5 + c**2 + 3*c. What are the prime factors of a(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32379326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o**9*o*o))\/o*o)\/o)**(-46))**(1\/87) assuming o is positive.\nAnswer: o**(506\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75354, 2, 12 in decreasing order.\nAnswer: 12, 2, -75354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10606349, 10606363, 10606385, 10606415?\nAnswer: 10606453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7 (b) -1139 (c) -90 (d) 1 (e) 0.2 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 21*i**3 - 568*i**2 + 57*i + 22. Give w(27).\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 9*y + 91. Determine c(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, m: 1, g: 4, q: 7, e: 1, z: 2}. What is prob of picking 3 g?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 4, -8\/3, -15\/11, 0.6, -0.6, 1?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 27*j**2 + 35*j - 12. What is the units digit of s(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 66 = -6*f. Find the third derivative of -i**3 + i**3 - 6*i**6 - 34*i**2 + 40*i**f wrt i.\nAnswer: 4080*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 115. Let q(v) = -7*v**2 + 6*v. Give q(i(a)).\nAnswer: -7*a**4 - 1616*a**2 - 93265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14934.\nAnswer: 2, 3, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, z: 1, x: 1, r: 5, i: 2}. What is prob of sequence lir?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1171*s - 2645*s - 3091*s to the form q + y*s and give y.\nAnswer: -4565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 5 = -y. Let f = -832 + 837. What is the remainder when y is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8396 divided by -2?\nAnswer: 4198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 3:27 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7322715.2 to the nearest 1000.\nAnswer: 7323000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*x - 103 + 103 to the form n + i*x and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**5 + 12*d**4 - 48*d**2 + 48*d.\nAnswer: -3*d*(d - 2)**3*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z - 481687190 = -1424087190. What is z rounded to the nearest 1000000?\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k. Let s(c) be the third derivative of 5\/24*c**4 + 0 + 2*c**2 + 0*c + 0*c**3. Let v be 45\/(-8) - (-15)\/(-40). What is v*h(r) + 11*s(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 13*r**3 + 135*r**2 - 5 - 10*r**3 - 140*r**2 - 2*r. Let d(u) = 4*u**3 - 5*u**2 - 2*u - 5. Let q(m) = -4*d(m) + 5*p(m). Let w = 91 + -96. Give q(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 10 = -0*t. Which is smaller: -11\/5 or t?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -3, -1.1, 0.02, 4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4165, 5447, 8923, 15691, 26849, 43495, 66727?\n\"Answer: 183*b**3 - b**2 + 4*b + 3979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -997, -976, -955, -934, -913?\nAnswer: -892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - 16. Let h = -14 - k. Suppose 7 = x - h. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvrsslsqzvss. Give prob of sequence vl.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -43, -69, -83, -73?\n\"Answer: 2*f**3 - 12*f**2 - 4*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u. Suppose -a + 5 = 3*r, -2*r - 2 = -0*r + 2*a. Let y be 19\/4 - r\/(-12). Let z(i) = -y*i**2 + 2*i**2 - 45 + 45. Calculate k(z(q)).\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 553 divide 68962804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15*6\/(-15))\/((-3)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 418*g + 988. What is the thousands digit of v(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-135)\/18 - -6)\/(1\/(-6)). Suppose 46 = u*i + 1. Let g = -4.4 - -4. Which is the nearest to g? (a) -2\/11 (b) i (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/23 (b) 3\/5 (c) 7411\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244322224.\nAnswer: 2, 15270139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4355 and 161265.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + q - 6. Suppose -2*t + q*n + 94 = 0, -n - 170 = -5*t + 53. Let u be -1*(1 - 5*1). What is the highest common divisor of u and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -46509385, -93018757, -139528129, -186037501, -232546873, -279056245?\n\"Answer: -46509372*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 12721?\nAnswer: 12721","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1025 * 0.4\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 1718640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q. Let u(h) = 2*h. Let n(g) = 3*s(g) + 2*u(g). Let d(i) = 5*i**2. Give n(d(j)).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/92303 smaller than -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-8) + 27\/(-4). Let i(h) = 23*h - 3. Suppose 2*x + 34 = 5*g, 5*g + 6 = x + 23. Let f(m) = -8*m - 5 + 4 + 2. Calculate n*i(c) + x*f(c).\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -17. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 - (3 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5706\/5 + -188623\/165. Calculate the common denominator of v and (-108)\/(-270) - (14\/(-30) - -2).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858801013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136710428 is divided by 1042?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11222313 + -4?\nAnswer: -11222322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 492019 and 3223?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8.25788 - -0.25608. Let x = 8 + m. What is x rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2*(3 + (1 + (sqrt(1300) - (sqrt(1300) + -3*sqrt(1300))) - (sqrt(1300) + 1 + -1)) + -3))**2.\nAnswer: 640*sqrt(13) + 83216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55532 (base 7) to base 5.\nAnswer: -421423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*z + 52 = 92*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x**36\/x)\/x)\/(x**(-2)\/x) assuming x is positive.\nAnswer: x**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.416316 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g + 9. Let f(l) = -l + 4. Let z(x) = 7*f(x) - 3*t(x). Let j be z(-1). Let w be (-1)\/(-4) - 19\/(-4). Solve j*o = 15 + w for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10957\/4 + -2741. Which is the second smallest value? (a) k (b) 4 (c) 9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 3, -3*s + 2*h - 1 + 2 = 0. Calculate the greatest common factor of s and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/5))**(-12) assuming k is positive.\nAnswer: k**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j - 4. Suppose 61 = 22*x + 17. Suppose -x*z + 4*b - 24 = 0, 0*b - 25 = 5*z - 3*b. Give g(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24907\/1102 + -539\/58. Do z and -31 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -59*k**4\/12 - 67*k**3\/6 - 2*k**2 - 8. Is s(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 q, and 1 e when three letters picked without replacement from yqcqbqyeqyvcccc?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -536, 0, 4 in descending order.\nAnswer: 4, 0, -536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 8)*(21\/6 + -4). Let f be 1 + y\/(1 + -2). Solve 5*i + 2*q = -14, f*i + 10 = i - 2*q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -12. Suppose 16 = b + 5*x, -5*b + c*b + 3*x - 4 = 0. Calculate the highest common factor of b and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 + 3 - (-96)\/36. Which is the second smallest value? (a) -6 (b) -0.5 (c) -0.2 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2277 is divided by 39.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2361*z. Let x(w) = 2*w**2. Calculate p(x(g)).\nAnswer: 4722*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -h**6\/10 + 13*h**3\/6 + 8*h. What is the second derivative of d(x) wrt x?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790 + 288 - 253 = -38*i - 239 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 1\/2409 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -635 (base 11) to base 6.\nAnswer: -3312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1\/4, -3\/64 in ascending order.\nAnswer: -1\/4, -3\/64, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5498.331 litres in millilitres?\nAnswer: 5498331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -3*u**2 - 1\/54*u**4 + 0 - 1\/270*u**5 + 0*u - 1\/27*u**3. Find m, given that p(m) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479108.\nAnswer: 2, 7, 71, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 3*r + 141, -a + r = 4*r - 24. Suppose -50 = 11*v - 16*v. What is the remainder when (9 + -8 + v)\/(1\/14) is divided by a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6739882*-5\nAnswer: 33699410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2884 + -2809 - (-5 - -119).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 4*f**2 - 16*f - 14. List the prime factors of n(-6).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*q + 23*q - 7*q + 300 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-35) - (4394\/238 + 84\/(-476)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-2\/7))\/((q**(2\/5)\/q)\/q))**(-8\/5))**(6\/19) assuming q is positive.\nAnswer: q**(-3888\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-40)\/154)\/5)\/((-4)\/(-10)). Let w = o - -3\/11. Factor -w*v - 2\/7 + 1\/7*v**2.\nAnswer: (v - 2)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 85954 - -5779. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**5 + 3*s**4 - s**3 - s - 2. Let p(b) = -89*b**5 + 6*b**4 - 2*b**3 + 513*b - 2. Let i(g) = 2*d(g) - p(g). Find the second derivative of i(u) wrt u.\nAnswer: 1820*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111 + 106. Let p(c) = -c**3 - 4*c**2 + 4*c - 7. Determine p(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 1300019 = 2*f - 1379286, 3*f = -4*n + 714469. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.098191 to four decimal places.\nAnswer: -0.0982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 + 3.5. What is the closest to -2\/7 in 2, l, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**3 + 2*v**2 - 2*v + 4. Let o be w(3). Let k = 73 + o. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -2 - (-47 + 8008\/242)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from exesxxtxex?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 31775234.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*y - 18*y**2 + 57*y**2 - 34 + 163*y - 75*y as p*y + q + o*y**2 and give o.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -448*f - 31. Let p(j) = -224*j - 18. Determine 4*i(t) - 7*p(t).\nAnswer: -224*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1031\/156 + 248\/39. Let h = 0.9 + 0.1. What is the nearest to -9 in k, -5, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/4 and -39\/172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - 102. Let n be 0 + (s - 2) + 4. Let a = n - -267. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*z - 2*z + 449 = 0, -5*r + 454 = 4*z. Find the common denominator of 535\/r - 0\/(-1) and ((-2856)\/320)\/(33\/(-44)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -33*a**3\/2 - 24474*a**2 + 1633920*a = 0. What is a?\nAnswer: -17020\/11, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -670*89597 + (50 - 60). Round l to the nearest one million.\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1433256 - -27?\nAnswer: -1433228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 4*x - 947, 0 = 5*h - x - 991 + 34. Calculate the greatest common divisor of h and 764.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 3. Let z be 4\/(-14) + ((-486)\/7)\/2. What is the tens digit of m(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*a + 3823 = -3334. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -610, -1359, -2404, -3745, -5382, -7315?\nAnswer: -9544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f + 22*f - 10*f - 2*g = -g + 4, 0 = -9*f + 4*g + 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -136 + 138. Suppose -9*q = -x*a - 4*q + 152, -3*q = 5*a - 318. Calculate the greatest common divisor of 858 and a.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 660 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -457*i - 3187. Let u be q(-7). Let g(v) be the first derivative of -v**4\/4 + 13*v**3\/3 - 7*v**2 + 20*v + 9. Calculate g(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3*w = 78, 0*d + 2*w = 5*d - 82. Let a = -11 + d. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smsfmmsmssdm. What is prob of picking 1 s and 2 m?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/8*(-12 + -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105.153 - -105.6. Round d to 2 decimal places.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1293460547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1a35879 (base 12) to base 2\nAnswer: -10101001010000110011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.17*-5.\nAnswer: 10.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c. Let s(o) = -2216 + 2216 + 5*o. Let r(g) = 6*q(g) + 5*s(g). Calculate r(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35980*u - 71962*u + u**2 + 35982*u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1430 is divided by (-16)\/(1936\/(-4103)) + (-63)\/33 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23435532 + 23435412.00159. Let j = u + 120. What is j rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1265411363?\nAnswer: 127, 181, 55049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -5, 13, 3, 2 in ascending order.\nAnswer: -38, -5, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z - 6*z + 9*z + (-2 + 2 + 2*z)*(5 - 1 - 2).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 318680, 318658, 318636?\n\"Answer: -22*v + 318702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.42 - -0.02. Let t = -37 + 37. Sort t, d, 0.2 in ascending order.\nAnswer: d, t, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 650 and 364?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 16*b**2 + 12*b - 14. Let a be j(-17). Let d = 89 + a. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -352, -312, -246, -154, -36?\n\"Answer: 13*v**2 + v - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (-1 + 1) - (-11 + 98 - 129)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72181*k**4 - 512*k**2 + 10 wrt k?\nAnswer: -1732344*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111 + -111.99. Let d = -0.01 + t. Let w = 2 + d. What is the second biggest value in 5, -2\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164348?\nAnswer: 2, 181, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (1 + -1)) + 34 + -130 + -8?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-8)*2*28\/245.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -75 - -85. Suppose 3*s = -4*x - 4 - 23, 5 = -5*x + 2*s. Calculate the common denominator of 53\/8 and ((-42)\/20 + 2)*(x + y).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*r = -1. Let s be ((r - 1) + (-10 - -9))*-5. Solve -2*k = -k - s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/5 (b) -2.1 (c) -5 (d) 0.07473 (e) 0.1 (f) 3\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 444817527 a multiple of 3241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 5 = -2*u - 3*u, 0 = -t + 2*u + 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 6 + 4)*(-4*v + 2*v**3 + 4*v)*(-15*v - 2*v + v) to the form u*v + t + o*v**3 + a*v**4 + m*v**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14829, 29017, 43205, 57393, 71581, 85769?\nAnswer: 99957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 71, -5, -26?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -973 - -996. What is the remainder when 1*1*(2 - -41) is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -428.626856 - -387.62675. Let v = -51.1 + 10.1. Let n = v - x. Round n to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -125?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 - 53. Let i be 0 - 1*(-1070 - s). What is i rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-16))**(-17\/5) assuming j is positive.\nAnswer: j**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 215531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 142819 and 31295.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 434815*d + 434820.\nAnswer: -5*(d - 1)*(d + 86964)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 13. Let c = -6.99972 + f. What is c rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -17 - (-30 + 68 + -25).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 times -23\nAnswer: 3.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, u: 2, c: 1, p: 1, z: 3, k: 5}. What is prob of sequence pck?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 2*z**2 + 4*z - 1. Let g be h(4). Let b = -11 - g. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnn when three letters picked without replacement from {q: 7, n: 3}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 6:33 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, 3.3, -1, -2\/345, 0.5 in ascending order.\nAnswer: -1, -0.1, -2\/345, 0.5, 2, 3.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 2*r - r + 2*r)*(-13*r**3 + 51*r**3 + 32*r**3).\nAnswer: 140*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 12:27 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 390227 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9900862 divided by -10.\nAnswer: 4950431\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)*2)\/sqrt(2))**2 - (sqrt(20)\/(sqrt(8)\/sqrt(2)) + sqrt(15)\/sqrt(3) + -5).\nAnswer: -2*sqrt(5) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -11*s**4 + 17*s**2 + 7. Let n(d) = 6*d**4 - 8*d**2 - 3. Let p(g) = 3*k(g) + 7*n(g). What is the third derivative of p(r) wrt r?\nAnswer: 216*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**5\/5 - 5*a**4\/4 + 4*a**3\/3 + 71. Solve y(l) = 0 for l.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 969 by 19.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 9095.\nAnswer: 63665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (82*v - 12*v**2 - 82*v + (-3*v + 2*v + 0*v)*(-v + 0*v - v) - 2 - v**2 + 2)*(v + v - 3*v) as n*v**2 + z*v + i*v**3 + g and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdmb when four letters picked without replacement from {v: 3, e: 4, h: 1, m: 1, d: 2, b: 1}?\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 26, -94, -510, -1360, -2782, -4914, -7894?\n\"Answer: -23*d**3 - 10*d**2 + 71*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*(2 + sqrt(1573) + -1) + -1)**2.\nAnswer: 924*sqrt(13) + 56677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z + 1 - 1 + ((-2 + 7 - 1)*(6 - 8 - 5) - 1 + 4 - 5)*(-1 - 13*z + 1) to c*z + x and give c.\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6*n + 12. Let o(p) = -5*p - 11. Let r(d) = -6*a(d) - 7*o(d). Let k = 1 - 1. Calculate r(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 83, 202, 383, 626, 931, 1298?\n\"Answer: 31*x**2 + 26*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * 0.01.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a. Let r(y) = 158*y - 71*y + 75 - 85*y. What is w(r(d))?\nAnswer: 2*d + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/45 + 24\/110. Let f = -2429 + 12144\/5. Put 11, w, -5, f in decreasing order.\nAnswer: 11, w, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3554*25\/(750\/315).\nAnswer: 3, 7, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -83.36 or 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, 250\/11, 1\/12.\nAnswer: -1, -0.3, 1\/12, 250\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4185762404?\nAnswer: 2, 1046440601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 t, and 2 c when four letters picked without replacement from tccuetbotobotccctott?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + y**2 - 2*y - 2. Let x(t) = -404*t**3 + 24*t**2 - 30*t - 20. Let r(m) = 10*o(m) - x(m). What is the third derivative of r(g) wrt g?\nAnswer: 2484","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -979d?\nAnswer: 979c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -125413.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 153597516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(108) - sqrt(108)))\/(6*4*(sqrt(54) + sqrt(6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.09 - 4.09. Let y = 0.9 - -0.1. Put -0.5, c, y in decreasing order.\nAnswer: y, -0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5214 and 1343?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 768523 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 8:03 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4179 by -11115.\nAnswer: 1393\/3705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mqqmqyyqyxqxqqqxqqvm. What is prob of picking 4 q?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2*r**3 - 3*r**2 - 20*r - 40. Calculate y(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence os when two letters picked without replacement from {o: 6, s: 1, m: 8}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1315*i**2 + 2119*i**2 - 686*i**2 + 1256*i**2.\nAnswer: 4004*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -467 - -469. What is the third smallest value in o, -1.6, 3, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 259777455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 191 (c) 3 (d) -3\/2 (e) -6 (f) -2\/3 (g) -1\/2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -189*g + 36. Let q be f(-14). Suppose 0 = -111*r + 105*r + q. List the prime factors of r.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40087 - 6*f**2 + 20026 + 19976 in the form x*f**2 + k*f + n and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 7:09 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-24) - (11 + (8 - 12087\/648))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -30. What is the remainder when 26 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46 - 39*n - 46.\nAnswer: -39*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 6 - 3*l**3 - 6*l**3.\nAnswer: -9*l**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/1761 and 1\/18.\nAnswer: 10566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80553*a - 80555*a + 161066*a + 1050 = 0 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -15. What is the lowest common multiple of 6 and d?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65 + 147 - 43)*(6 - 6 - 7*i).\nAnswer: -273*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 7:55 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 71 - (-4 - -54 - 38).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 43*h + 1 - 2*h**2 - 43*h + 22*h**3. What is the remainder when t(1) is divided by 2\/((-68)\/(-16) + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 650799104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (130\/(-117))\/(1\/(-9)). Suppose 7*j = -3*j + w. What are the prime factors of ((-12)\/(-30))\/(j\/265)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 1 + 22 = 0. Suppose -2*o - x = -75, -5*x + 102 = g*o - 0*x. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14\/5? (a) -5 (b) -0.03 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 5:36 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1782, 2234, 2684, 3132, 3578, 4022, 4464?\n\"Answer: -w**2 + 455*w + 1328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 7:21 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215279089?\nAnswer: 215279089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 29. Let k be (-17 - -2)\/((i + 2)\/(-14)). What is the greatest common divisor of k and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 1927*k**3 + 7*k**2 + 55*k - 92. Let w(o) = -964*o**3 - 4*o**2 - 30*o + 50. Calculate 6*p(j) + 11*w(j).\nAnswer: 958*j**3 - 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 132550*q**4 + 14*q**3*v + 2*q**3 + 3*q**2*v - 15*q**2 - 2*q*v - 101*q + 246*v wrt q?\nAnswer: 3181200*q + 84*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.13 + 1.63. What is the closest to -1\/2 in -2, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-130)\/(-13))\/(-30))\/((-9)\/(-12))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.397755914 rounded to 4 decimal places?\nAnswer: -0.3978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 111202110022211 (base 3) to base 4\nAnswer: 123321000103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g. Let s(d) = -134616389*d. Give p(s(t)).\nAnswer: -673081945*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + 21*p = 28. Let k(w) = -w**3 + 5*w**2 - 22. Let v be k(p). Let m = 360 + v. Does 20 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (367*y - 686*y + 463*y)*(3 + 9 - 7).\nAnswer: 720*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 6*w**2 + w - 6. Let x be l(6). Suppose x = -y + 3*y - 6. Suppose 0*s = s - 5. Solve s*a - 17 = y for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -2*y - 34. Let j be -16 - (-21 - 16) - 38. Do j and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - 4\/2)\/((-7)\/(-21)). Find the third derivative of 10*r**4 - 9*r**c + 4*r**3 - r**2 - 3*r**2 + 2*r**3 wrt r.\nAnswer: 240*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13844694 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1164628772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4525 + 4 + 1\/(2*3\/6)?\nAnswer: 2, 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)*6 - sqrt(72))\/(-2*sqrt(441))*-6.\nAnswer: 30*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 10*l**2 + 11*l + 4. Let t be h(11). Let u = t + -7. Let m = 3 - 7. Put -5, m, u in ascending order.\nAnswer: -5, m, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x + 5*x - 6*x**4 + (-2 + 2 - 2*x)*(2*x**3 - 4*x**3 + x**3) + 2*x**4 + 2*x**4 - 2*x**4.\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-2)\/12)\/((-82)\/(-41)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 - 1. Let b = 218109 + -218109.5. What is the nearest to b in 0.3, h, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-99)*3*12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -f + 1265. Suppose 5*b = -4*j - 508, -2*j - 161 - 93 = 3*b. Let v = j - f. List the prime factors of v.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/16 in -13, -5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -32.650442.\nAnswer: 31.650442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 3\/4, 2\/3, -10, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26\/6 + (-4)\/(-6). Let h(y) = -10*y**3 + 4. Let l(w) = -5 + 22455511132*w - 22455511132*w + 10*w**3. Give z*h(s) + 4*l(s).\nAnswer: -10*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 4629.8954.\nAnswer: 4624.8954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2bac10 (base 15) in base 16?\nAnswer: -203a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -12*i**2. Let m(o) = -o + 17. Calculate m(h(b)).\nAnswer: 12*b**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6735 and 16505240?\nAnswer: 2245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -4. Suppose -b*j - 4 = 4. Is 202\/18 - j\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17990, -17989, -17988?\nAnswer: -17987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - h = -146, -2*h - 127 = -4*v + 165. Calculate the remainder when v is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2355 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**4\/6 + 15*t**3\/2 + 42*t**2. Let g be q(-11). Solve 4 - g = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2\/11, 3\/5, -13, 7.121, 2, 43?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -10 + 1\/3*y**3 - 1\/2*y**2 + 0*y. Factor t(p).\nAnswer: p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(12\/16)\/((-6)\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61274 - 13598 = 12*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let n(h) be the third derivative of h**5\/20 - 3*h**2. Let y(q) = q**2. Let j = -6 - -1. Let i(s) = j*y(s) + n(s). What is i(v(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 4:51 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 178508 = -178512, -w + 2 = f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(98)*-2 - -3*(sqrt(2) - (-2 + sqrt(2)))) - (1 + (5*sqrt(96))\/(sqrt(108)\/(sqrt(9)*-1))).\nAnswer: -4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -o + p, 4*o + 3*p - 5 = -14. Let s = 2.5 + -3. Let b = -166\/7 + 167\/7. What is the closest to o in b, -1, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170 divided by 233.\nAnswer: -170\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zwwy when four letters picked without replacement from {y: 3, z: 2, g: 1, w: 2, t: 2, j: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (1 - (8 + -1) - (0 - 7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 4 = 4*f, -4*x - 2*f + 1315954 = 1315960 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 0.8, -2\/11, -2\/9, 3\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**3 - 5*n**3 + 7*n**3 + 6*n**2 as z + r*n + b*n**2 + f*n**3 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -0.071286629?\nAnswer: 0.128713371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/2)\/(-325*13\/2600).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -929.4588334 and 1.\nAnswer: -928.4588334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -138, -275, -412, -549?\n\"Answer: -137*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109919963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48496693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 3\/7 (c) -1211\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*sqrt(198))\/sqrt(2)*6 + 2)**2*4.\nAnswer: 57024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/7)*q**7\/q)**(1\/5)*(((q\/(q*q**(-2\/19)*q*q))\/q)\/(q*q*q**(-4)\/q))\/(q*q**(2\/9)*q*q**(2\/17)) assuming q is positive.\nAnswer: q**(-90731\/101745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzss when four letters picked without replacement from zzzzszzzzssss.\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33411, 33409, 33407, 33405, 33403?\n\"Answer: -2*x + 33413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 573315, 1146639, 1719963, 2293287, 2866611, 3439935?\nAnswer: 4013259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 25.2, 1, -2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 4*x + 5. Let n = 15 + -13. Suppose -f + 2 + n = 0. Let v be h(f). Solve -s + 0 = v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -207*d + 1446. Give l(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 24856232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*s**4 + 23*s**3 - 51*s + 3 wrt s?\nAnswer: 108*s**2 + 138*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1660*-2.7569.\nAnswer: 4576.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 v when four letters picked without replacement from {d: 1, v: 10, j: 1, c: 2}.\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*t + 12. Let g be 112\/(-11) - 42\/(-231). Let b be g\/3*(-66)\/55. Solve -b*q - 27 = 3*m - t, -2*m - q = 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*d + 23*d + 2*d**2 - d**4 - d**4 + 1 to the form c*d**3 + g*d + t + n*d**4 + m*d**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2597211329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 276889662?\nAnswer: 2, 3, 7, 2197537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -604*f. Let r(y) be the third derivative of y**5\/60 - y**2 - 50. Give r(n(a)).\nAnswer: 364816*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 97, 1, 4 in decreasing order.\nAnswer: 97, 5, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2039*j**2 + 4*j + 2015*j**2 - 12*j + 5*j + 3*j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14064349 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/5)\/m*m)**(-7\/3)\/((m\/m**(-8))\/(m\/m**8*m)))**15 assuming m is positive.\nAnswer: m**(-211)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (5 + (4 - 3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 3796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 - -104. Let m(c) = 3 - 62*c - c**2 + 0 - w*c + 127*c. Let l be -6*((-25)\/30 - 0). Determine m(l).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*i - 1422 + 122 = 8*i for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millennium in months?\nAnswer: 62400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -5. Let n(w) = 2*w - 3. Let f be (-2)\/6 + 60\/18. Let i be n(f). What is the nearest to -0.1 in -2\/7, b, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/98 and 93\/14?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -2644*o**2 + 2640*o**2 - 3200*o - 361447 - 278553 = 0.\nAnswer: -400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 32*v - 13*v + 63*v + 4.\nAnswer: 82*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*w**4 + 6*w - 1 - w**3 - 6*w - w to the form a*w**2 + c*w**4 + v*w + b + n*w**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 331793667 to the power of 1\/2, to the nearest integer?\nAnswer: 18215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 1210.\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 14*h. Let w be t(14). Suppose 5*c - 2*y - 67 = w, 2*c + 10*y - 50 = 5*y. What is the greatest common factor of 3 and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.31917m in micrometers?\nAnswer: 62319170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = m, 5*m + 30 = 107500*c - 107495*c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43179*c**3*p**3 - 2*c**3*p + 11*c**2*p - 28291*p**3 wrt c?\nAnswer: 259074*p**3 - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 55622.87 millennia?\nAnswer: 5562287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 598*c**2 + 2399*c - 22. Calculate h(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/3)*m)\/(m**(3\/5)\/m)*m\/m**(1\/7)*m*m*m**(5\/4)*m)\/(((m*m*((m**(-1)\/m)\/m)\/m)\/m)**48\/(m*(m*m**(-2\/29))\/m*m**(-1\/3)\/m)) assuming m is positive.\nAnswer: m**(1824217\/12180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8526 + -2?\nAnswer: -8528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 6:55 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*u + 22, 0 = 3*p - 4*u - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 494, 497, 514, 551, 614, 709, 842, 1019?\nAnswer: 1246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 112623837?\nAnswer: 112623836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -3. Let f = 0.1 + 0.1. Let n = f - -0.8. Which is smaller: j or n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26896?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 212 + -142. Let h = -3 + j. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 28\/3 of a decade?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 1494.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-162) - (-798)\/(-162). Put l, -1, 4, 2, -472 in ascending order.\nAnswer: -472, l, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -11. Let o(w) = 13*w - 202. What is o(h) + 5*z(h)?\nAnswer: 13*h - 257","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - q - 55 = 0, -5*s + 11*q - 7*q + 55 = 0. Solve 12*d = s*d - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -10*y + 14 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 298 + -303. Let k be (-35)\/n + -2 + 0. Sort k, 1, 4, 2 in ascending order.\nAnswer: 1, 2, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -47 + 43 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-375)\/(-150)*3248\/500 + (-32)\/2?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (774\/1892)\/(10\/64*(-21)\/70*2).\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 272 by -2.\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 43?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 4*g**2 - g + 2. Let p be q(-3). Let h = 235 - 235.214. Let y = h + -0.186. Which is the smallest value? (a) p (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) -0.3 (c) 0.3 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 123\/(-6) + 1\/2. Let u be 72\/g - 4\/10. Let w(m) = m**2 + 20*m - 18. Let t be w(-21). Put t, u, -2 in descending order.\nAnswer: t, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3*s - 4, s - 13 = -3*y + 2*s. Suppose -n + n = y*n. Suppose 840 = 4*l - f, -l + 0*f + f + 213 = n. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 613 - 613.0583. Round r to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 37, 14, -55, -182, -379?\nAnswer: -658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/22321 and -25\/10302.\nAnswer: 133926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6906985939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48816 + 2771. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3870932 and 1786584.\nAnswer: 23225592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 3)\/(-2) + (-12)\/14. What is the second smallest value in -0.3, y, 1\/2, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 528 - 761. Let y = -113 - i. Let o be 1\/(-3)*y\/8. Are -5 and o non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-47)*((g**2*g)\/g)\/(g\/(g**(-2\/9)*g)))**(-8\/11))**35 assuming g is positive.\nAnswer: g**(10360\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 1245233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 44623*j + 2 - 2 - 48032*j in the form t*j + q and give t.\nAnswer: -3409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -3*v**2\/2 + 36*v + 3. Let h be q(12). Suppose -5*j - 433 = -3*l, h*j - 5*j + 297 = 2*l. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d + 19*d = -2528. Does 22 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(2\/9))**(8\/3)*b**2*b**(1\/2)*b)**(13\/4) assuming b is positive.\nAnswer: b**(3913\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 495 and 93477186?\nAnswer: 467385930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -14*r**4\/3 - 142*r**3\/3 - 225*r - 17. Let x(g) be the first derivative of i(g). Find the second derivative of x(l) wrt l.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-3) + (-27)\/6. Suppose -2*d + z + 12 = -z, 5 = -z. Sort k, -3, d, -0.3 in ascending order.\nAnswer: -3, k, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1895 by 5.\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23 and 2944.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2 - 2)*(-355 - 386 - 111) + 2*i + i - 2*i.\nAnswer: -1703*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 - 9*r**2 + 12*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-20) + (-138)\/(-5). Suppose -q + 3 = 5*r. Suppose 3 = 4*y - 1, 3*y = -l + 5. Sort l, r, 4 in decreasing order.\nAnswer: 4, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(0 + (-4*(sqrt(5) + 1))**2).\nAnswer: 32*sqrt(5) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - -1c7d253?\nAnswer: 1c7d256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4235 is divided by 472?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(8)\/sqrt(2)) + 0 - 5*(sqrt(80))**2*4.\nAnswer: -1600 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1705 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + -a2?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 - 9*q - 1. Let s be c(-3). Suppose h + 1 = -2. Let f = h + s. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.89764.\nAnswer: 1.79528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52591?\nAnswer: 7, 11, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 z when four letters picked without replacement from zzpesszpszzpz.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 n, and 1 f when three letters picked without replacement from fngnykkgkkkkfkknkfn?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001101121210 + -12?\nAnswer: -1001101121222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3321303191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**3 - 2463*s**2 + 298812*s = 0.\nAnswer: 0, 148, 673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 + 48*b**2 + 91 - 42.\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t + 14*t - 10*t - 8*t - 6*t + 13*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3758 (base 10) to base 16.\nAnswer: eae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjnjjnnnnjnjj. Give prob of sequence jjjn.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(2 + -1 + -3). Let n = -1\/13710 - 9139\/13710. Which is the fourth smallest value? (a) j (b) -2 (c) 0.5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (80\/(-8) + (116 - 42))\/(-4 - -6)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(1\/16)*x)\/x)\/x**15)\/(x\/(x**(3\/29)\/x)*x**(-17\/4)) assuming x is positive.\nAnswer: x**(-5839\/464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szyz when four letters picked without replacement from {z: 2, s: 7, y: 4, q: 1}.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 60953.72l in millilitres?\nAnswer: 60953720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oaaj when four letters picked without replacement from {o: 1, j: 1, y: 1, i: 2, v: 2, a: 2}.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 9:42 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 + 2*x**2 + 2*x**2 + 7*x - 1 + 5. Let o be d(-7). Let f be o\/(-20) - 38\/10. Let l(y) = -2*y - 6. Give l(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157721, -631174, -1420269, -2525012, -3945409, -5681466?\nAnswer: -7733189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) 2.2 (b) -2\/7 (c) -1\/9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -260, -591, -1066, -1691, -2472, -3415, -4526?\nAnswer: -5811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k\/k**(2\/7)*k))**(-26))**(2\/33)\/((k**(-1)*k)**(-2\/15)\/((k\/(k\/(k*k*k**(1\/3)*k)))\/k*k\/(k\/k**(-2\/23)))) assuming k is positive.\nAnswer: k**(11553\/1771)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Let q = 2 - r. Suppose 5*h - 2 - 3 = 0. Is q >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75771.\nAnswer: 3, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2. Let p(z) = -z**3 + z**2 + 2*z + 7. Let i be p(0). Let s(c) = i*c - 6*c + 0*c. What is f(s(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 1092*k + 76 - 30.\nAnswer: 1092*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by 11785\nAnswer: 44\/11785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*y = 53*y + 4*l - 1, -5*l + 17 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 3*z - 6. Give i(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/117*-3*(-2)\/(-5)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7482120 (base 10) to base 5.\nAnswer: -3403411440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*n**2 + 0)*(1 - 2*n**2 - 1) + 3*n**2 - n**4 - 3*n**2 - 55*n**4 - 6*n**4 - 76*n**4.\nAnswer: -142*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssseefsfeeff. What is prob of picking 3 s and 1 f?\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000072044 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2202390*g**4 + 2*g**2*n - 7186724*n with respect to g.\nAnswer: 8809560*g**3 + 4*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/3*25\/75?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001599 a multiple of 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.7 + -0.3. Suppose -4*k + 38*k - 10982 = 0. Let f = k + -321. What is the smallest value in f, 1\/10, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 8*z**2 + 17*z + 41. Give g(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6200 is divided by 56?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2347328200 to the nearest 1000000.\nAnswer: -2347000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a**4 + 3*a**3 + 7*a**2 - 5*a. Let k be (-43)\/4 - 24\/(-32). Let l(w) = -w**4 + w**3 + w**2 - 1. Let b(h) = k*l(h) - 5*d(h). What is v in b(v) = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5829 - 3603 = 197*l - 8018 for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -800 = 10*b - 2*b. Calculate the common denominator of (2\/(-40))\/((-6)\/(-105)) and (212\/(-12))\/((b\/15)\/2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23 + 2e2d2?\nAnswer: 2e2af","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19*(-666)\/1539 + (0 - 8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1716\/84 - 21)\/(5*(-6)\/63)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - y - 3*y)*(-43*y + 438 - 438)*(-4 + 4 + 1) - 12 + 420*y**2 - 208*y**2 - 215*y**2.\nAnswer: 40*y**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 47, -1\/3, 2\/5, 4\/5, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155 - 82816.793.\nAnswer: -82971.793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -618*n**2 - 622*n**2 + 1247*n**2. Let p(q) be the third derivative of q**5\/30 - 15*q**2. Determine p(m(o)).\nAnswer: 98*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245855740?\nAnswer: 2, 5, 13, 23, 41113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 7:13 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 33046, 33037, 33024, 33007?\n\"Answer: -2*r**2 - 3*r + 33051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.837046 weeks to seconds.\nAnswer: 2925445.4208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 175455.05 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-36)\/(-21))\/((-4)\/168). Let t be (-9)\/15 + v\/(-20). Let l = -5 + t. Put 5, 4, l in decreasing order.\nAnswer: 5, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 13*h = -700. Suppose -4*u = k - 56, 14 = 5*u - 4*u + 2*k. What is the least common multiple of u and h?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21432 and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l = 15. Let t = l - -2. Suppose -5*m - 2*j = -72, -3*m - 2*j + t*j + 39 = 0. Solve 34 = -5*v + m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -21*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 4*t**3 + 160 - 272 + 2*t**2 + 88 + 100 - 5*t**3. Calculate r(0).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqqslxbal. What is prob of sequence lq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 32*p**2 - 7 + 29*p**2 - 48*p**2.\nAnswer: 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/15)\/(4\/10). Suppose 0 = z - d*z + 2, -j - 8 = -5*z. Solve j*t = 1 + 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 3*s**2 + 13*s - 13. Calculate q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 355\/2302?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from mgtrytcmttyrytyytgr.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 117602 + (25 + -17 - 21) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 977 = -2*h, -3*h + 2*t + 1470 = -t. Let v be (-1 - h\/(-9)) + 0. Let s = v - 1129\/21. Put s, 2\/3, -3 in decreasing order.\nAnswer: 2\/3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**3 + 54*n**2 - 64*n + 7. Calculate h(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17803, 17792, 17765, 17716, 17639?\nAnswer: 17528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 6*r + 142. Let m be o(-25). Calculate the smallest common multiple of 38 and (48\/m)\/((-3)\/7).\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u + u)*(-u - u + u) - 178*u**3 + 32*u**3 - 144*u**3.\nAnswer: -291*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**6\/320 - b**5\/80 - 13*b**2. Factor d(m).\nAnswer: -3*m**2*(m + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**5\/60 + s**4\/12 - s**3\/2 - s**2. Let b be d(-4). Let f(p) = 2*p**3 + p**3 + 6*p**2 - 4*p**3 - 2 - 6*p. Calculate f(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 AM and 10:05 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p**3 - 3654*p**2 - 1821*p - 6412. What is f(914)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -3 (c) -0.1 (d) 2.63 (e) -0.8 (f) 12 (g) 0\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.9 - 2.28. Let l = 0.18 + o. Which is smaller: l or -2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*m - 1 - 4*m + 18*m - 3*m to the form z*m + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*z**3 - 17*z**3 + 20*z**3 + 5*z**3 - 1413 with respect to z.\nAnswer: -87*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1199, -4782, -10747, -19088, -29799?\nAnswer: -42874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 9:46 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8c + -5?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and 2\/3847 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165 divided by -165.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 337057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -122110 (base 4) in base 7?\nAnswer: -4624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 208, -1\/9, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3*g - 25 = 0, g - 19 - 1 = 3*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4\/17, -2, -1\/2, -0.2 in decreasing order.\nAnswer: 2, 4\/17, -0.2, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*d - 3 = 0, 6*w + 5*d = 4*w - 26. Put w, -4, -14 in descending order.\nAnswer: w, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 57*r - 7. Let o(g) = g**2 - 71*g + 9. Let q(m) = -5*n(m) - 4*o(m). Let x(t) = 4*t**3 + 2*t**2 - 2*t - 3. Give 2*q(v) - x(v).\nAnswer: -4*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 4 + 9 = 2*u, 7 = -2*u + t for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*v - 11*v = 32400. Is v a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of m**5\/20 - 3*m**4\/2 + m**3\/2 - 20*m**2 - 21*m. Let l = -36 + 56. What is the lowest common multiple of b(18) and l?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/5))**(-1\/18)\/(o*o*o**(-2\/7)*o**1*o))**42 assuming o is positive.\nAnswer: o**(-2333\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -290.33 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19 take away -23365.5?\nAnswer: 23365.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of -7*m**4\/12 - m**2. Let g = -21 + 13. Let b(a) = 1 + 9*a - 1. Determine g*b(h) - 5*y(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 16) in base 2?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 702 = 49*c - 46*c. Is 39 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14760 - 14757. Solve 3*w + 5*n = -24, -a*w + 17*n + 3 = 13*n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1062783670 to the nearest one hundred thousand.\nAnswer: -1062800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 128 + 47 = j, 5*h - 4*j + 196 = 0. Let u = -20 - h. Let g = 10 + -3. Calculate the remainder when u is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 3 - 3 + 7*q. Let d(y) = 8*y. Suppose 0*u + 4*u - l + 44 = 0, 5*l = 4*u + 28. Let r be ((-16)\/u)\/(6\/(-27)). Give r*f(p) + 5*d(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 9 = -2*a. Suppose 0 = a*c - 8*c + 45. Is (856\/(-12))\/((-2)\/c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/555, -0.5, 12456?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14796\/(-2055))\/(((-16)\/(-10))\/(-2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 895 divide 16045560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 45, 86, 127?\n\"Answer: 41*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 11. Let l = -9 + t. Let y = l - 4.5. Which is the smallest value? (a) -2\/5 (b) y (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 9*h + 3. Let n(i) be the third derivative of -1\/8*i**4 + 3*i**2 + 0 + 4\/3*i**3 + 0*i. Let d be n(4). Determine r(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -197567 or -197585?\nAnswer: -197567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*r**2 + 2*r**2 + 10*r**2 - 19*r**2.\nAnswer: -41*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssfisfsfssisqts. What is prob of sequence itf?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -d, -2*b - 8*d - 2 = -4*d for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 1417\nAnswer: -141.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10368872 is divided by 5184429?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 411c7a - -1a?\nAnswer: 411c94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1171671\/7 - 167759. Let x = 10085\/28 + a. Let r = -3235\/2 - -19495\/12. Calculate the common denominator of r and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 12:55 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33482 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -413, 115, 64 in ascending order.\nAnswer: -413, -5, 2, 64, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/36*-2*(1 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2075718 and 2075732 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:13 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from zzzi?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/3, -0.5, 3\/14, -1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1848 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(-70)*((-1 - -1) + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210636 by -4.\nAnswer: 52659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -281 + 285. Let j(y) = -y**3 + 7*y**2 - 8*y + 1. Let w be j(6). Let c = -13 - w. Put 0.5, a, c in ascending order.\nAnswer: c, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcgg when four letters picked without replacement from {g: 1, r: 1, p: 1, c: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r + 24. Let m be d(-11). Solve k = 3*k + 5*f - 11, m*f = -k + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*i = -124*i - 6 + 90 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18 + 33099?\nAnswer: 330b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4215 + 6031. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 * 86\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 - -27. Let g = -5 + b. Let a = g - 7. What is the third smallest value in 1\/10, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - c. Let l(q) = -169*q**3 - 4*q + 697. Let i(k) = -l(k) + 6*p(k). What is the first derivative of i(j) wrt j?\nAnswer: 525*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-60) + 1\/(-2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 369\/53 - 2530\/371. Let t be 1 + 2\/(1*2). Which is the nearest to -3? (a) t (b) 0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26787, -53575, -80371, -107181, -134011, -160867, -187755, -214681?\nAnswer: -241651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 20*y**2 - 2*y + 28. Let d be z(20). Let c be (-4)\/d + 4\/(-36). Suppose 0 - 4\/9*i - c*i**2 = 0. Calculate i.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 11. Let c be ((-2)\/f - 0)\/(10\/(-10)). Sort 11, 0.4, c in decreasing order.\nAnswer: 11, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -509 + 3b20?\nAnswer: 3613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1312121 (base 4) to base 2\nAnswer: 1110110011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70313.\nAnswer: 70313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1728 and 2772954.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**3 - 27*d**2 - 28*d - 16. Give q(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19496*t**2 + 19442*t**2 + 19439*t**2 - 58378*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 22. Let o be s(-18). Suppose -5*t = -3*q - 1255, q + 967 = o*t + 6*q. Suppose t = -6*r + 668. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42586 = 523*b + 5976 for b.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-15)*-5)\/(3\/(-4)). Let y = 12 - 12. Put y, -2\/3, t in decreasing order.\nAnswer: y, -2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -598*q = -313*q - 276*q - 3*a + 33, 3*q - 4*a + 35 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24614*k + 1440 = 24578*k for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**2 + x + 2. Let c be k(-1). Solve 2*s - 2*l + 7*l = 12, 20 = c*l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*n**2 - 29692*n\/11 + 2160\/11 = 0. What is n?\nAnswer: -270, 4\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 274124*g**2 - 128*g.\nAnswer: 4*g*(68531*g - 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.052 - -8\nAnswer: 8.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ipp when three letters picked without replacement from uuipupuuudiiuudid.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 173946026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 2*f - 2*f)*(-2 + 4 - 4)*(-2 - 3 - 2).\nAnswer: -42*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - 0) + 2 - -32. Let r = x + -18. Calculate the remainder when r is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 5*b**2 + 3*b + 7. Let n be z(5). Let a be 4\/12 + n\/6. Suppose 8 = 2*c - a. Solve -2*o + c*o + 20 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26080 and -370.\nAnswer: -26450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 4*o + 3*n - 2081, n - 515 = -o. Let p = o + -310. Is p a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -443562 divided by 1074\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + 2*n**2 + 2*n + 1. Let c be a(-1). Find the first derivative of 15*l**4 - 2 - c - 5 - 5*l**4 wrt l.\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -5 + 0*w**3 + 6*w + 0*w**2 - 1\/12*w**4. Let x(i) be the first derivative of l(i). Let k(o) = 12*o**2. What is k(x(b))?\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 37*w**2 - 35*w + 71. Calculate p(-36).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 5*p**4\/4 + 3*p**2\/2 + 5. What is the second derivative of y(g) wrt g?\nAnswer: 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -5 - 4 - 17) + (0 - -1) + 6.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2560, 2568, 2582, 2602?\n\"Answer: 3*u**2 - u + 2558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/((-20)\/6))\/(6\/30). Let x = -0.02 + -3.98. Let v be 4*(87\/42 - 2). What is the nearest to v in 3\/5, g, x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 613366 - 5520292\/9. Solve 28\/9*h + 10\/3 - y*h**2 = 0 for h.\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 1)*(2*w - w + w) + 55 + 2*w + 36*w - 57)*(-5 - 2*w**2 + 5) + (4*w**2 - 4*w**2 - w**2)*(w + 0 + 0).\nAnswer: -81*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4*l. Suppose 6*o - 3*o - 6 = l. What is the tens digit of 1*(o + -5) + 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, p: 3, s: 2, w: 1, i: 1, l: 1}. What is prob of sequence pin?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j**3 - 8*j**3 - 23*j**3.\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*b = 11, -48 = -14*y - 2*b - 116. What is the smallest value in -3, 1, -6, y?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -380*w + 5*b + 20 = -374*w, -4*w + b + 18 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2479 (base 10) to base 7.\nAnswer: -10141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2679 and 42.\nAnswer: 2721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28, -0.1992, 779, -1?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -952*c**5\/5 - 943*c**2 + 5*c + 28. What is the derivative of j(a) wrt a?\nAnswer: -11424*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -115712, -115703, -115694, -115685, -115676, -115667?\n\"Answer: 9*l - 115721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5) + (-65)\/(-25). Let m be (-3)\/12 + (-1)\/(-4). Is (m + n)\/3 + 96 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bybyjyzyy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5561436*m**3 - 3934153*m**2.\nAnswer: -33368616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 269\/5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n. Determine p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -1. Calculate the remainder when 9 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(19) - sqrt(931)*-4 - (sqrt(95)\/sqrt(5) + 1 + sqrt(19) - sqrt(19))) + -5*((1*sqrt(38))\/sqrt(2) - (sqrt(133)\/sqrt(7) + 5)))**2.\nAnswer: -6496*sqrt(19) + 239177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((190\/12 - 15)\/(2\/6) + -1)*32.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -29. Let i be v\/42 + (-1)\/(-3). Which is the second smallest value? (a) i (b) 3\/2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/156 and -13\/396.\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 0.29?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven quarters of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 10*t + 3. Let a = -19 + 25. What is the remainder when 133 is divided by x(a)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j + j)*(-2*j**3 + 3*j**3 - 8*j**3)*(-52*j - j - 5*j).\nAnswer: 812*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/4 - 29\/28. Let g be (-1)\/(-2)*4\/8. Which is the second smallest value? (a) g (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwq when three letters picked without replacement from {w: 9, q: 7}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -29\/9, 4, 0.3 in increasing order.\nAnswer: -29\/9, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113\/2 + 231\/4. Suppose -5*u - 7447 = -v, v + 3*v - 8 = 0. Let n = u - -6051\/4. Find the common denominator of s and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 7. Let b be m(5). Suppose b*n = 2 + 6. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 569449?\nAnswer: 17, 19, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14611223 is divided by 1522?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1539481567 to the nearest integer?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13365 + a?\nAnswer: 13374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5235 or 5236?\nAnswer: 5235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**6\/180 - d**3 + 26*d**2. Let r(b) be the first derivative of n(b). Let l(w) = -51*w. What is l(r(p))?\nAnswer: -102*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1238524330 or -1238524328?\nAnswer: -1238524328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48161?\nAnswer: 17, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 130323302110?\nAnswer: 130323302101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 11*w + g + 27 = 0, -5*w + 3*g - 38 = 0. Let l = -190 - -110. Which is bigger: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 6*s**2 - 148*s + 1034. Calculate the remainder when 638 is divided by m(7).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4 + 8*d**2 - 2*d**2 - d**2 + 2*d - 4*d**2. Does 11 divide p(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23 + 31 + 13*r**4 - 34 wrt r.\nAnswer: 52*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51220794 and 83292?\nAnswer: 3786","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 207\nAnswer: 1\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 1:17 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/366 and -59\/2730?\nAnswer: 166530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, t: 2, v: 10}. What is prob of sequence vvyt?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 49, 47, 45?\n\"Answer: -2*m + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -r**2*u + 4*r*s*u + 885*r + 7446*s*u + s wrt r.\nAnswer: -2*r*u + 4*s*u + 885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100682750 divided by -50341375.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/5 + 81152*k**2\/5 + 172412368*k\/5 + 92810623104\/5.\nAnswer: (k + 1084)**2*(k + 78984)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -10*l**3 + 6*l**2 + 8*l + 2. Let h be d(-2). Calculate the highest common factor of h and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 863 + -859. Let z(o) be the first derivative of -1\/15*o**3 + 0*o + 8 - 1\/5*o**2 + 1\/20*o**a. Determine s so that z(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*7\/((-42)\/18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 y, and 1 u when three letters picked without replacement from feumy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*r**3 + 75*r**2 + 165*r + 100.\nAnswer: 5*(r + 1)*(r + 4)*(2*r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 + -2.4. Let m = s + 4.01. Let b = 3 - 3.2. What is the biggest value in -2, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1694, -1169, -294, 931, 2506, 4431, 6706?\n\"Answer: 175*m**2 - 1869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5 - 8. Suppose -3*y = -4*g, -2*y - o*y + 5*g + 5 = 0. Solve y*h = -0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-35)\/(-30))\/7 + 77\/6. Let t(c) = 7*c - 93. Let l be t(y). Sort l, 5, -19 in decreasing order.\nAnswer: 5, l, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**5\/60 - t**4\/12 - t**3\/6 - 3*t**2. Let c be p(3). Solve 0 = c*q - 2, -5*f + 2*q = -f + 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2\/31))\/p**11)\/((p\/(p*p*(((p\/p**(-2))\/p*p)\/p)\/p*p))\/p*p\/(p**(-23)\/p)) assuming p is positive.\nAnswer: p**(-959\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76352 is divided by 10906.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 4*y - 9, 10223 - 10225 = -4*f + 2*y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*sqrt(539))**2.\nAnswer: -1078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 8*x**2 - 352*x - 252. Determine w(46).\nAnswer: 484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-20)*50\/(-15). What is the second derivative of 3 - l*n - 3 + 0 - 3*n**3 wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 10 - 2*(-10)\/(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -87*((-5)\/3 + 2) + -8 + 16?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3695257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 7*w - 12. Suppose 4*f - 2 = w. Suppose 2*j = -2*a + j + 653, f*j + 10 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - z - 12. Let n be g(0). Let d be (-23)\/(-2) + (-6)\/n. Let f be 196000004\/(-14) - d\/(-42). What is f rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -2) + -7 - -2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u**2 - 45*u + 202. What is g(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 - 7*l**2 + l**2.\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) 1.8 (b) 0 (c) 0.5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 5*r - 124, -3*o = -0*r - 4*r + 128. Let h = -45 - o. Suppose h*p - 374 = -4*x, 0 = -5*p - 4*x - 395 + 1005. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 548147 is divided by 68516?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*t = 22, 5*o = 7*o + 4*t - 4. Suppose 0*c - 3*c = -21. What is the second derivative of -o*n - c*n**3 + 12*n**3 - 4*n**3 wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2 + 5*c - 3. Let t be z(4). Let w = t - -52. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252280 divided by 340?\nAnswer: -742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 - 19 - 54 = 8*v for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461*j - 20 = 458*j + 5*w, -13*w - 20 = j + 32 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 4:54 AM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 176. Solve 2 - 168*d**2 - 2 + k*d**2 - 15*d = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45\/2? (a) 20 (b) -45\/209 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l\/(l*l**(-6))*l\/(l*l**(-1\/8)))\/(l\/l**(-4)*l**4*l))\/((l*l\/(l**(-3\/8)*l*l)*l)\/(l**(-6)*l*l*l))**(-46) assuming l is positive.\nAnswer: l**(1603\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)*-1 + 1 + (sqrt(12)\/(sqrt(4)*2) - (sqrt(45)\/sqrt(5))\/sqrt(3)))**2*5.\nAnswer: -55*sqrt(3) + 1835\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 12517285.\nAnswer: 12\/12517285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 6182?\nAnswer: -2\/3091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208\/32*62\/(-31).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1568*z**3 - 1558*z**3 - 1554*z**3 - 1559*z**3 - 1558*z**3 + 7795*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 176*n - 2*n**3 + 180*n + n**2 + 0 in the form t*n**3 + s*n**2 + b + f*n and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.3722 and 34.1.\nAnswer: 37.4722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*x - 53 = -309 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 108 (b) -1.14 (c) -3 (d) -0.03 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248421 is divided by 2053?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0 + 2 = 0. Suppose n = v*z, -z = 2*z - 4*n + 10. Solve -3*i - 1 = -2*x + z, -4*i - 4 = -x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 4*g - 4*t, 2*g + 15 = 2*t - 3*t. Let i(f) = f**3 + 8*f**2 - 11*f + 2. Let r be i(g). Calculate the highest common factor of 8 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 340 - 337. Suppose -17*b + f*b + 1232 = 0. Does 22 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 - -12 - (25 + -34)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42523618 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*u = -0*u + 9, 0 = 2*l - 2*u + 12. Which is the nearest to l? (a) 2\/15 (b) 0.2 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t - 6 + 58 - 31*t - 17*t. Let v(u) = 12*u - 13. Suppose k - 1 = -3. Let x(r) = k*f(r) - 9*v(r). What is the first derivative of x(q) wrt q?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 130187, 520749, 1171685, 2082995?\n\"Answer: 130187*b**2 + b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**(-6\/11)\/y)\/y))\/(y*y*(y*(((y**12*y)\/y*y)\/y)\/y)\/y) assuming y is positive.\nAnswer: y**(-104\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-203)\/58 + 4 + 3458\/(-4). Is -866 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10102 + -3?\nAnswer: 10033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171)\/((-10089)\/(-236))*135\/12?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 199*b = 208*b + 27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 y when four letters picked without replacement from yyydyyyyyyydyyyyyyyy.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -6*i**5 + 3*i. Let l(x) = -x**5. Let w(n) = -2*l(n) + m(n). What is the second derivative of w(t) wrt t?\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - 1478735?\nAnswer: -1478732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1318.79 and 9263.\nAnswer: 10581.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26861 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.07 (b) -27317 (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00019991 to six dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 11 + 33. Let i(h) be the second derivative of h**5\/20 + 5*h**4\/4 + 5*h**3\/2 + 6*h**2 - h. Is i(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 82 = 2*k + 4*o, 0 = -2*k - 4*o + 78. Calculate the remainder when 59 is divided by k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9571.67003 to one dp.\nAnswer: -9571.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84.4 + 84.400000358. What is h rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159, 164, 169, 174, 179, 184?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1 + (4053\/576)\/(-7))*62 and -91\/80?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -563*v - 199*v + 36*v - 382*v to p*v + g and give p.\nAnswer: -1108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) 0.4 (c) -1\/9054\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 252.3 + -251.8. What is the third smallest value in -4, 37\/3, m?\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, v: 1, x: 8, l: 2, e: 1}. What is prob of picking 2 x and 1 e?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69721, 17, -2\/11, 0.4 in increasing order.\nAnswer: -2\/11, 0.4, 17, 69721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, -45797 in ascending order.\nAnswer: -45797, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -12*p. Let z(t) = -4*t - 15. Let a be z(-15). Let x(d) = d. Let j(g) = a*x(g) + 3*w(g). Let n(v) = v. Determine j(n(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17 + 5*b**3 + 17 + (2 + 2*b - 2)*(-3*b**2 + 0*b + 0*b) - 2 + 15*b**3 - 20*b**3 - 42*b**3.\nAnswer: -48*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 2*p**7\/7 - 2*p**3 + 1. What is the third derivative of k(j) wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1072 and 1056322.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -21*f**4\/8 + 87285*f**3\/4 + 3120*f**2 - 87285*f\/4 - 24939\/8 = 0.\nAnswer: -1, -1\/7, 1, 8313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1630\/7 or -233?\nAnswer: -1630\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.13, -0.1 in ascending order.\nAnswer: -0.1, 0.1, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-1)\/(-2 - -1). Let r(d) = -62 - 8*d + 59 + d. Calculate the remainder when r(b) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6010*l + 1110294 - 1110294 to the form j + n*l and give n.\nAnswer: 6010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 13) in base 8?\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4452367 < 4452360?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**7\/840 + l**5\/120 - l**4\/24 + 5*l**3\/3 + 78*l**2. Let b(q) be the first derivative of k(q). What is b(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -197, -393, -589, -785?\n\"Answer: -196*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2. Let h(u) be the first derivative of -8*u**3\/3 - 7. Determine s(h(b)).\nAnswer: 64*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - s - 6, 11 = 5*t - 2*t - s. Suppose 4*l - l = -q, t = 2*l - q. What is the remainder when l is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.11873.\nAnswer: -0.11873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.4814 - 1.7814. Put 1.3, w, -1 in ascending order.\nAnswer: -1, w, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 23*s**2 + 11*s + 45. Let z be i(-21). Find the common denominator of 4\/28*-4 - z\/112 and -27\/478.\nAnswer: 3346","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3143040730.\nAnswer: 2, 5, 41, 7665953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -40*m - 7. Is b(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k + 20. Let d be v(-5). Let s(j) be the second derivative of d + 0*j**2 + 1\/12*j**3 + 1\/40*j**5 - 2*j + 1\/12*j**4. What is w in s(w) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (0 + 92\/(-28) - -3). Factor -y*t + 0 + 2\/7*t**2.\nAnswer: 2*t*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, s: 11, h: 5}. What is prob of picking 1 r and 1 h?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4068.30336 to the nearest 100.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/2 + 1\/2. Suppose 3*i = 4*i, -4*i = t - 16. Suppose -w + 5*w = t. Put v, w, -1 in decreasing order.\nAnswer: w, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*b + 16 = -20, 4*b - 24 = -2*z. Solve 7 = -z*s - 17 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 1. Let y(d) = 4*d**2 + 2*d + 4. Suppose 4*x - 438 = -0*x - 5*q, -440 = -4*x - 4*q. Let g = x - 111. Calculate g*y(r) - 2*o(r).\nAnswer: 4*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/(-4) + 989\/46 + -19. Sort -5, -87, d.\nAnswer: -87, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(2*sqrt(120) + sqrt(120)) + sqrt(120))\/sqrt(5))\/(1*sqrt(588)*-4).\nAnswer: 11*sqrt(2)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.46 + -1.64. Let n = 15.61 - 14.4. Let a = t - n. What is a rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b - 14. Let n be d(2). Let k(u) be the first derivative of n*u**2 + 2\/5*u - 2\/15*u**3 - 7. Factor k(p).\nAnswer: -2*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7)\/98*(-7)\/((-7)\/(-6)). Let s = -2882.1 + 2882. Sort -1.5, s, f in ascending order.\nAnswer: -1.5, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 5:05 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000457797 rounded to 7 decimal places?\nAnswer: -0.0000458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 77\/2*(-40)\/(-70). Suppose -3*v + 169 = g. Suppose -j - v = -89. Does 40 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjjjjkqjjjjj. Give prob of sequence qq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -6. Let j be 2\/w - 92\/(-28). Solve -3*y + 5*l = -y + 15, j*y = -3*l - 12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*d - 415 + 415 in the form s + t*d and give t.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)*g)**(7\/5)\/(g*g\/(g*g**(-2)))**(-1\/27) assuming g is positive.\nAnswer: g**(-184\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3594*b - 156. Let z(d) = -449*d + 19. What is -4*p(v) - 33*z(v)?\nAnswer: 441*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.25 + -0.15. Suppose -4*s - 3 = 9. Suppose p - 159*a = -160*a, 4 = -3*p + a. Put p, -4, s, m in ascending order.\nAnswer: -4, s, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 5. Suppose 0 = 6*a - a - 40. Let o = a - 8. Determine g(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -132023498 - -63151051. Let p = l + 68872441.1000033. Let d = 5.9 + p. What is d rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*y**4 + 2 - 2*y + 9*y**4 + 3 to the form t + q*y**3 + g*y + v*y**4 + o*y**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3755 + -1714. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -396647, -396613, -396579, -396545?\nAnswer: -396511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77986690 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-15) + 108\/360?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 1197842*j + 27551424.\nAnswer: -2*(j - 598944)*(j + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 2239668*b + 2239664.\nAnswer: 4*(b + 1)*(b + 559916)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 21*r**2 - 5*r + 53. Let l be h(-10). Solve 35 = -l*x + 23 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**3 - 119*f**2 + 8285.\nAnswer: -6*f**2 - 238*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5880.486t in milligrams?\nAnswer: 5880486000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3 = -2*y. Sort 4, y, 7.\nAnswer: y, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4684*g + 1558*g + 1565*g + 1563*g - 509. Let l(v) = v**2. Determine l(z(w)).\nAnswer: 4*w**2 - 2036*w + 259081","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1))**(2\/3)\/(b*b*b**(-15\/2)*b**(-1\/26)) assuming b is positive.\nAnswer: b**(190\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -172.7 - -247.8. Let q = p + -66. Let r = -9 + q. Which is the smallest value? (a) r (b) -0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96224 less than -591?\nAnswer: -96815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-6)*(4\/(-26) - 32545\/3679). Put -36, 14, 4, x, -1 in decreasing order.\nAnswer: 14, 4, x, -1, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 44*j + 1261. Give z(-60).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.057.\nAnswer: -0.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (18\/(-9))\/(4\/2850). Let f = j + 2986. List the prime factors of f.\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -884, -2152, -3970, -6338, -9256?\nAnswer: -12724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6 + 3 - -14)*4?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 3:57 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.31 + 16.31. Let g = l + -35. Let x = 18.9928 + g. What is x rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(36)\/(sqrt(12)*1))*1.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2 - 6*z - 2 + 13*z - z**2. Let o be 3 + -6*(-1)\/2. Let u be f(o). Solve -u*c + 0*c = -8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/36 and 33\/(33\/10) - (-11998)\/(-1224).\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -189\/5. Let d be (-39)\/(12 + 1) - (-7)\/1. Let z be (-4 - (-14 + 6))\/d. What is the nearest to z in 0.3, -2, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1526, -1527, -1528?\nAnswer: -1529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 805730 to the power of 1\/2, to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c**2 - c**2 + 3*c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -2*a + a - 13, 2*a = -4*y - 17693 + 17751 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-1))\/20*(-2)\/(-2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 188, -1, -11, -3 in descending order.\nAnswer: 188, -1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 4954 = 1832. Let z = -330 + p. What is the remainder when 183 is divided by z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78e (base 16) in base 9?\nAnswer: -2578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mweeummmwmwwemwe. What is prob of sequence mmum?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10866 + -271614\/25. Which is bigger: 1\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6 + 30*v**2 + 28*v**3 + 37*v**2 - 68*v**2 wrt v.\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5238, 9512, 13726, 17880, 21974, 26008?\nAnswer: 29982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 551 - 519. Calculate the lowest common multiple of a and 16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221 = -3*m + 8*o + 127, -o = m - 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10353 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48542.\nAnswer: 2, 13, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 9*o**3 + 3*o**2 + 17*o + 1. Let i(f) = 19*f**3 + 5*f**2 + 32*f + 1. Determine 4*i(g) - 7*n(g).\nAnswer: 13*g**3 - g**2 + 9*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/((-32)\/12)*-2 - (-286 - -285). Let p = 7 + -4. Sort t, 161, p in decreasing order.\nAnswer: 161, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70472.\nAnswer: 2, 23, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 13*j**2 - 34*j - 40. Let w be t(-10). Let o(g) = 3*g + 21. Give o(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418630341?\nAnswer: 3, 29, 4811843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*s - 3*s + 688, 2*s = -4*b + 2824. Let l = -319 + b. What is the remainder when l is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, e: 1, n: 1, u: 7}. Give prob of picking 1 n and 3 u.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 356.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2 + 98*v + 96. Let p be f(-48). Let z = -1 + 2. Let r = 10 + -7. Sort p, z, r.\nAnswer: p, z, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 10 = -24. Which is the nearest to 0.1? (a) -0.4 (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010052 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {o: 3, u: 1, l: 1, b: 6, v: 1, n: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -34, 5 in descending order.\nAnswer: 5, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*f = -2*f. Suppose 6*k - 27816 - 15138 = f. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddmddmlmdmdrmmye. What is prob of sequence el?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 8*d - 9*d. Let b = -65 + d. Calculate the remainder when 146 is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 446, 768, 1030, 1232, 1374?\n\"Answer: -30*c**2 + 412*c + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 29483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-28)*(30 - 55556\/102). Let -624\/7*n + 288\/7 - 52\/7*n**3 + 2\/7*n**4 + q*n**2 = 0. Calculate n.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(20 + 4018\/(-205)))\/(1\/(-100))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231354348 divided by -383037?\nAnswer: -604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101202 + 343?\nAnswer: 102100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.915 plus 18?\nAnswer: -0.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1596941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -403 + -2233144?\nAnswer: -2234102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85573?\nAnswer: 83, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14729940 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(119) + sqrt(119) + -2*sqrt(119))*-6*5)\/(((sqrt(112) - sqrt(7))*-1 + sqrt(7))*6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of 3989*k**3\/3 - k**2 - 6847*k + 2744. Find the second derivative of y(f) wrt f.\nAnswer: 7978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 1:22 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0034378 to 4 decimal places.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2759 - 971. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 580 = -195. Suppose -p*i + 34*i = -114. What is the remainder when i is divided by (0 - 29)*(-2 + 1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6800 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2819*d + 1200*d - 1906*d - 5 + 2.\nAnswer: -3525*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 4*o**2 - 2*o + 6. Let g be c(-5). Let n be (g\/(-18))\/(-1 + (-14)\/(-12)). Solve 35 = -3*p - 4*s, -5 = 4*p - 0*s - n*s for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 27313129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) 0 (b) -5 (c) -1.5 (d) 3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 6*b**2 - 5*b - 39. Give j(-4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.2 not equal to 2037\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + sqrt(13) + sqrt(13)) + 0.\nAnswer: 8 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/16 and -139\/588.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 3) in base 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58522?\nAnswer: 2, 29, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fodfffdofoffdldpf. What is prob of picking 2 d, 1 o, and 1 l?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 129 - 96. Let f = 33 - m. Let u be 0 - ((-6)\/1)\/2. Which is the closest to 2\/3? (a) f (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 at least as big as 312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -6*l - 28. Let g be f(-5). Solve 2*n - 33 = -5*r, 5*r = r - g*n + 28 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + 1 - (3334 - 3247).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 950106510 to the nearest integer?\nAnswer: 30824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9054 divided by 9\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 9:33 AM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -16. Let a = -7 + u. Let j = -10.6 - -10.5. What is the closest to 2 in -0.2, a, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -2 + -5 + (2 - 4)*-39 and 7.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 285708 and 1936.\nAnswer: 138282672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -218, 875, 1942, 2971, 3950?\n\"Answer: -2*u**3 - u**2 + 1110*u - 1325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11660986?\nAnswer: 2, 5830493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-16))\/((30\/(-6))\/20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 13) in base 14?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*t = -53*t - 4*f - 297359, -495602 = -5*t + 3*f. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -20, -4*o + 12 = -4*g + 44. Let f(j) = 2*j - 6. Let w(k) = 3*k - 7. Let y(s) = 4*f(s) - 3*w(s). Let b be y(-3). Solve b = -q - 0 - g for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*j + 455 + 1350, -2*x + 5*j + 915 = 0. Let r be (1\/((-2)\/5))\/((-11)\/1958) - -1. Is r <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 151513164 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 8*n + 12. What is r(-11)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 116*b**2 - 4*b.\nAnswer: 4*b*(29*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -104*p**3 - 20*p**2 - 20*p - 20. Let l = -5039 - -5019. Let a(q) = 15*q**3 + 3*q**2 + 3*q + 3. What is l*a(m) - 3*i(m)?\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4424.0004902 - -4424. What is y rounded to five dps?\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 974250067.\nAnswer: 7, 59, 1237, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257831627?\nAnswer: 14561, 17707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**2 - 2659 + 2579 + 50*n - 8*n**2 = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(30\/(-4))\/5)\/((-72)\/(-552)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 38 + 41. Solve -g - 7 = i - 2, 0 = 5*i + d*g + 23 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 5*c - 19, d = 4*d - 3. Is 3 + -1 - (c - 2)*-51 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 >= 233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 1. Let a(k) = -4. Let g(q) = a(q) - 4*p(q). Let z be g(-1). Suppose -5*y + 3*r - r = -53, 16 = z*y + 5*r. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 12 + 16 = -8 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3\/3 + 250*g**2 - 23808*g + 69192 = 0?\nAnswer: 3, 186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + i - 4*i - i)*(2*i**2 + 60*i**2 + 37*i**2 + 2*i**2 - 4*i**2 + 3*i**2 + (-2*i + 3*i - 3*i)*(0 + i + 0)) to y + r*i**2 + v*i**3 + m*i and give r.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 330972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l = -14*l - 117. What is the remainder when 161 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 8158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -353*r**3 - 2652*r wrt r?\nAnswer: -2118*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from thxjxfft?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**2 - 12456019*y + 135*y**2 + 12456019*y.\nAnswer: 129*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -a - 263. Let l = -628 + a. Does 13 divide (-10)\/(-35) - l\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -13. Suppose 2*u = -5*c + d, -12 = -2*u - 2*u + 3*c. Solve 4*t = 5*z + 11, -t - u = 3*z - 10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(24*(-4)\/(-32)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*v + 13*v = -192. Solve v*d - 21*d = 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 4 = -o, -5*s = -43431 + 43446 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 244921, 244923, 244925, 244927, 244929?\nAnswer: 244931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*o**2*y**2 + 2*o**2 - 352*o*y + 1239*o - 17*y**2 + 14000*y - 4 wrt o.\nAnswer: 54*o*y**2 + 4*o - 352*y + 1239","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 331 - 267. Is 32 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 30 = 5*n + 4*w, -2*n = -4*w - 12. Let l(h) = h - 1. Let x(i) = -i**3 + 6*i**2 - 4*i. Let v(r) = -6*l(r) - x(r). Determine v(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4443.161 rounded to the nearest ten?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12207 and 42963.03?\nAnswer: 30756.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -277, -609, -1063, -1633?\nAnswer: -2313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -32*c**3 - 41*c**2 - 150*c - 4. Let x be y(-4). Calculate the greatest common factor of x and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15673, -31417, -47161, -62905, -78649, -94393?\n\"Answer: -15744*u + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 j when three letters picked without replacement from {i: 1, m: 7, v: 1, j: 3, c: 7}?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.5 + -0.5. Let q = d + -2.5. What is the smallest value in 1\/3, 1\/14, q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8106 or -72946\/9?\nAnswer: -8106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 167668519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*68.47.\nAnswer: 4.7929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 885*z - 885*z - 24*z**2 - 6*z**2 as h*z + c*z**2 + b and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*r = 18, -g = -5*r - 6 - 6. Suppose -3*h - 4*h = -3*h. Suppose h = u + u - 0*u. Put 33, g, u in ascending order.\nAnswer: u, g, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8e41da (base 15) in base 4?\nAnswer: -121323211300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 50, 108, 192?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k + 1. Let l(v) = -12*v**2 + 61*v - 9. Let g be l(5). Let z(o) be the second derivative of -o**3 + 5*o**2\/2 + 2*o. What is g*z(j) + 22*n(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7))**(1\/31)\/(f**(-2\/11)\/((f**(-1)\/f)\/f))*((f\/((f*(f\/(f*f**(-3\/5))*f)\/f)\/f))\/(f\/(f*f\/(f\/(f**(-7)*f*f)*f))))**(-2\/15) assuming f is positive.\nAnswer: f**(-372503\/179025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 90561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 47?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*c - 8 = 0. Let f(s) = 2*s - 4. Let n be f(c). Sort n, -4, -5.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from {b: 2, n: 2, f: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8978*a + 197309 + 425284 = -149515 for a.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s - 3. Calculate j(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/303 and (-1 - (-5)\/6)*155\/15?\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 0*k**2 + 0*k**2)*(-1817 - 1712 + 3978)*(2 + 0 - 4).\nAnswer: -898*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5741261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t - 24*t**2 - 29*t**2 + 4 + 56*t**2 to the form u*t + v + r*t**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = 3*r - r - o, -2*r = -3*o - 205. What is the greatest common divisor of 44 and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21012 and 3708?\nAnswer: 63036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 3*i - i + 14, 28 = 4*r - 5*i. Let t(w) = -w**3 - 5*w**2 - 3*w + 5. Let h be t(-5). Solve -r*p + 6*p = h for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17622 divided by -2?\nAnswer: 8811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 1:30 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z + 553470 - 276727 - 276743.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -163, -258, -369, -502, -663, -858?\nAnswer: -1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 2, -1567, 660, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1258 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 4:07 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34\/30 - 1 - (-323736)\/630 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.11 + 0.11. Let p = 2 - 2.1. What is the nearest to h in 1\/2, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 8*n**2 - 7*n + 37. Let f be u(20). Let x = f - -2563. Round x to the nearest one hundred.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*r - 1 - 5 + 11*r - 7*r**4 wrt r.\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5637152993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 38*a**2 - 28*a - 368. Let k be s(36). Which is smaller: 1212 or k?\nAnswer: 1212","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -n + 9, 3*n - 30 = 3*p. Which is the nearest to -2\/3? (a) 3 (b) 4 (c) 5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 51 = 181. Let n = 27 - o. Is ((-9)\/18)\/(n\/(-710)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + g + 98 = 0, 0 = -84*t + 85*t - 5*g - 15. Let y(b) = -3*b**3 + 72*b**2 + 73*b + 55. Determine y(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 7095?\nAnswer: -7095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 403*f**5*k**2 - 17*f*k**2 + 2*f*k + 3*f wrt f.\nAnswer: 8060*f**3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 66*c**3 + 3*c**2 + 10*c - 11. Suppose 3*a - 9*i - 44 = -7*i, 40 = 3*a - i. Calculate the lowest common multiple of a and n(1).\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.08 + 0.86. Let t = 0.419 + -0.1875. Let u = t + q. Round u to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -35*g. Let m(a) = -946*a. Let b(u) = -u**2 - 511*u + 3100. Let c be b(6). Give c*m(d) + 55*l(d).\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 170 and 765?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3070\/(-55) + (2226\/231)\/(-53)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**4\/12 + 176*s. Let c(l) = l**2 - 1. Let z(q) = 18*q**2 - 17. Let n(o) = 102*c(o) - 6*z(o). Determine n(t(v)).\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(106 - 106 - 5*a) - 8*a - 28 + 28.\nAnswer: -13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -18 + 14 + 2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 n when two letters picked without replacement from jhyynylfnnynynflnny.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y - 42. Let k be v(-4). Calculate the least common multiple of 50 and (-6)\/(-10) + -3 + (-1572)\/k.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c - 34*c**3 - 9*c**3 + 22*c**3 - 38*c**2 + 9*c**3 + c**4 + 9*c**3 as t*c + x*c**3 + q*c**2 + m + g*c**4 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8*(2 + (-8 - -1 - -4)). Solve 5*x = -c - 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/(-1) + 3*1. Suppose 3*v = 6*w - w + a, 2*v - 2*w = 26. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002202101 (base 3) to base 9.\nAnswer: -32671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 225664?\nAnswer: 225664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 943 + -914. Suppose 3*b + 3*k - 2665 = t, -4*k - 3592 = -4*b. What is the remainder when b is divided by 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/5*n**2 + 1\/5*n**3 - n.\nAnswer: n*(n - 5)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3642\/13 + 280. Which is the third biggest value? (a) -4 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyty when four letters picked without replacement from {t: 5, y: 2, w: 3}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 11:43 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*j - 17, -3*j + 5*b - 4*b = 15. Let h = 0.5 - -1.5. Let c = 0 - h. Sort j, c, 2\/9 in descending order.\nAnswer: 2\/9, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000249962 to seven decimal places.\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 138*b - 1932. Let m be r(14). Sort 348, m, 3, 5 in decreasing order.\nAnswer: 348, 5, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/10)\/(5*(-27)\/(-300)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2339 is divided by 259.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -9. Suppose 2*o = -10, 3*f + 3*o = l*f - 25. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -27 - 1. What are the prime factors of (7 - 0)*(-10)\/x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22175 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((11\/(-77))\/1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (17070\/805 - -4) + (-24)\/(-21). Is b != 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence saq when three letters picked without replacement from aaaaqaaraaars?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-2 + -6) - (105 + 30 + -114).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -146.7 + 146. Let n = 3.8 - -0.5. Let q = k - n. What is the closest to 0.1 in -2, -7, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 4*b**2 + 6*b + 8. Let u(x) = -4*x**2 - 5*x - 7. Suppose -235 = 5*q - 205. Calculate q*u(k) - 5*w(k).\nAnswer: 4*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71866612 divided by 17966653.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3410 = -0*h - 11*h. Let z = h - 210. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 0.12?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 4, -1, -6 in descending order.\nAnswer: 4, -1, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - 32 - 11*s + 20*s - s.\nAnswer: 3*s - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 931825232.\nAnswer: 2, 13, 59, 75931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*t + 10 - 390*t + 198*t - 10.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*l + 51 = -5*l, 3*r + l - 33 = 0. Let g = -7 + 10. Suppose 4*h + 13 = -g, -3*h = -2*s + 22. Solve 4*n + r = -8*y + 4*y, 5 = n + s*y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38534*k*s**3 + 2*k*s**2 - 2*k*s - 16*k + 66988*s**3 - 21 wrt k?\nAnswer: 38534*s**3 + 2*s**2 - 2*s - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5)\/30 + -2 + (-2)\/(-12). Let t be (w\/(-4))\/(-3 + 345\/114). Suppose t*q = 8*q. Is q at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 0. Let m be 4 - 1\/(2\/8). Suppose -6*p + 23 + 7 = m. Solve 0*g - 13 = g - y*k, k - p = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20466?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -5*b + 1. Suppose 0 = k - 1 - 4. Let v(q) = -9*q + 3108 + 3*q - 1548 - 1558. Calculate k*t(g) - 4*v(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 5 (c) 3 (d) -266.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5118 by 210426.\nAnswer: 853\/35071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 553103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -166, -492, -980, -1630?\n\"Answer: -81*n**2 - 83*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*g + 95 = -2*k, -4*k + 2*g + 150 = 0. Let j be k\/(-12) - 0 - -2. Is 3 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3209 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/sqrt(81) + sqrt(45)*-6.\nAnswer: -53*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -2868.\nAnswer: 1\/2868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -154*s + 501. Calculate t(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -8, -u = 2*u + q - 17. Suppose u*b - 18 = -b. Suppose 11 = b*g + 5. Solve 4*h = -4*l - 12, 5*h - g*l + 23 = l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24540)\/(-13497)*4\/8*22\/6\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -12221*u - 1967549. Determine d(-161).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 25*v**2 - 89*v - 88. Give z(-18).\nAnswer: -754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 1416\/(-4)) + 0. Calculate the greatest common divisor of t and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-18))\/((-2)\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53522101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 3*b - 8. Give w(-7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 117, 261, 461, 717, 1029?\nAnswer: 1397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**3 + 35*v**2 + 38*v + 37. Let k(i) = 2*i**3 + 12*i**2 + 13*i + 13. Give -17*k(p) + 6*x(p).\nAnswer: 2*p**3 + 6*p**2 + 7*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 7 = -0*b - b, 12 = 2*b + 2*j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*l + 454 = 415, 2*l - 12 = -2*s. Solve -4*f - 8 = 3*t, -4*t = 7*f - 2*f + s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3362309 + 3362309 + 3*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 5*u**7\/42 + u**6\/2 - 5*u**5\/4 - 5*u**4\/4 + 10*u**3\/3 - 73*u. Factor r(g).\nAnswer: 5*g*(g - 1)**2*(g + 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1289410?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -260 - -260.08. What is the nearest to 0.3 in -2\/5, t, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*j - k + 15, -j = 5*k + 23. Let o be j\/60*-14 + -2. Let z = -3.07 + 0.07. What is the third biggest value in -2\/3, z, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 3:10 AM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (2\/(-1) - -1). Let t be (q\/(-2))\/((-6)\/(-12)). Suppose 0 = t*r - 2*r - 46. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 + 1282896*w - 411455536704.\nAnswer: -(w - 641448)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/8 + 8613*c\/8 + 8609\/2.\nAnswer: (c + 4)*(c + 8609)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 10. Let k be 27\/(-15) + 2 - (-14)\/(-170). Sort -2, k, n.\nAnswer: -2, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -35*w + 1510. Give n(43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 10:41 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/f**(2\/7)))\/f)**(22\/5)*f**4*f**(-1))\/((f**(-1)\/f*f)**(-42))**7 assuming f is positive.\nAnswer: f**(-2059\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -34\/13*p**3 - 48\/13 + 164\/13*p + 178\/13*p**2 = 0. What is p?\nAnswer: -1, 4\/17, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41789743 a multiple of 503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + (-167 - -1))\/(2\/(-8)). Let z be (-12497 + -3)\/(-2 - (-1299)\/h). What is z rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**5*w + 29271553*c**2*w**3 + 2*c**2 - 1340283*c*w**3 + 10*c - 6 wrt c?\nAnswer: 20*c**3*w + 58543106*w**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from {l: 1, v: 1, a: 2, t: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*h + 49*h + 21 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -4765003616?\nAnswer: 4765003619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4) - -15*(-6)\/12) + -1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (104\/(-13))\/(-8)*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-5)*k)\/((k\/(k*k**(-2\/7)\/k))\/k))**(-10\/13))**(-2\/35) assuming k is positive.\nAnswer: k**(-120\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3.5013*-3\nAnswer: -10.5039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1020 (base 3) to base 5\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -33*w. Let k be s(1). Let a(n) = 9*n**4 + 9*n**3 + 33*n**2 - 33*n. Let j(m) = -m**4 - m**3 - 4*m**2 + 4*m. Let u(p) = k*j(p) - 4*a(p). Factor u(f).\nAnswer: -3*f**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -35*y + 65 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**4 + 3*x**4 + x**4)*(56*x - 114 + 114).\nAnswer: 56*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 240 = 55. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, m: 3, q: 1, z: 5, y: 2}. What is prob of picking 1 y and 2 z?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6033 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + (-12)\/(-16))\/((-2)\/96). Calculate the highest common divisor of y and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 1 = -2*w, 315*w - 311*w = 4*g + 28. Solve 2*x + w*h = -6 - 4, x - h = 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**0)\/p*p**(-2\/9))**4)**27 assuming p is positive.\nAnswer: p**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-9))\/((-4)\/(-24)*-2*1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -y - 216. What is the units digit of 4\/(-18) - 512\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*5*(-8)\/(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160876952.\nAnswer: 2, 19, 59, 17939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 15*s**2 + 4*s + 2 - 2*s**3 - 3*s - 18*s**2. Let x(y) = -y - 9. Let i be x(-7). Give c(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c**2 - 7 + 7 - 3*c**3.\nAnswer: -3*c**3 - 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 50.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1853*x + 5610*x + 12249*x)*(-2 + 5 - 1) + 4*x - 2*x - x in the form a + i*x and give i.\nAnswer: 32013","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9, -24, -45, -72, -105, -144, -189?\n\"Answer: -3*f**2 - 6*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**3 + 4 - 4)*(-i**2 + 0*i**2 + 2*i**2) + 9*i**5 + 23*i**5 + 9*i**5.\nAnswer: 39*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**8\/1680 - y**5\/30 + 2*y**3\/3 - 2*y. Let m(l) be the second derivative of f(l). Find the second derivative of m(s) wrt s.\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111010111001011 (base 2) to base 13.\nAnswer: 10958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*a + 100864 = 6*b, 3*a = 2*b - 50440. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**3\/6 + 199*s**2\/6 + 305*s\/3 - 404\/3 = 0. What is s?\nAnswer: -4, 1, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + -22035435055?\nAnswer: -22035435111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 + 3515*o**3 + 5*o**2 - 3515*o.\nAnswer: -5*o*(o - 703)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-4))\/((-45)\/30).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.2 * 0.39999.\nAnswer: 2.879928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -52853 != -52811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 172713673 to the power of 1\/3, to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k + 126. Calculate v(-9).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 9 = 4*f + 62, 2*c - 41 = -3*f. Suppose 0 = c*z - 9*z - 270. What is the lowest common multiple of z and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*l + 186, -73 = -l + 6*w - 3*w. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15778 is divided by 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -838*a**2 - a + 361?\nAnswer: -1676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 13*h - 2339. Let g(t) = t**2. What is y(g(d))?\nAnswer: 13*d**2 - 2339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**4\/3 - 35104*h**3\/3 + 1157603*h**2\/3 - 9118460*h\/3 = 0.\nAnswer: 0, 13, 20, 35071","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/35)\/((-1)\/(28\/8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 46 = -3*g, 3251*h = 3246*h + 3*g - 115 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2*f - 194 = 0, 3*q - 186 = -3*f + 135. Let d(t) = -t**3 + 7*t**2 - 5*t + 1. Calculate the remainder when q is divided by d(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-2\/21)*s**(-24))\/(s**(-21)\/(s*s**(-35)\/s)))**(-9) assuming s is positive.\nAnswer: s**(2274\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1862 and 494?\nAnswer: 24206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, a: 1, x: 3, e: 1, v: 6, f: 1}. What is prob of picking 1 f and 3 v?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.018, 6\/283, 359?\nAnswer: 359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(931) - (sqrt(931)*1 - sqrt(931)))*-2 - ((2*sqrt(931) + sqrt(931))*-2 + sqrt(931)))**2*-1*1 + 4.\nAnswer: -8374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from mqq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3, 41, 81, 123, 167, 213, 261?\n\"Answer: k**2 + 35*k - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o**2 - 4039*o + 28197. Determine n(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12 + 6 - (-2 - 0). List the prime factors of v\/14*14\/2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9094 - -372?\nAnswer: 9456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**5 - r**4 - r - 1. Let v(s) = -27*s**5 + 6*s**4 + 3*s + 1. Let g(a) = 6*j(a) + v(a). What is the second derivative of g(c) wrt c?\nAnswer: -660*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*w = 491 - 455, 5*w = 5*n - 45. Solve -2\/7*p**2 + n + 18\/7*p = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1268*r**2 + 9438 - 701*r + 9439 - 18879 wrt r.\nAnswer: 2536","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + 4 + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*i + 3. Let n = -946 + 948. Let d = -9 + 29. Solve i*y - d = -2*g, 2*g = -n*g + 4*y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5 - 3. Let d = 0.5 - 1. Sort d, a, 2\/3 in ascending order.\nAnswer: d, 2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 1927016?\nAnswer: -192700e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*3\/21)\/(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 bigger than 123?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 243221, 972900, 2189033, 3891620?\nAnswer: 6080661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**4\/6 - 8*w**3\/3 + w**2\/2 + 9*w. What is the remainder when 72 is divided by l(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36970*z**3 - 2*z**2 + 8852 wrt z?\nAnswer: -110910*z**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1399, -11150, -37605, -89116, -174035, -300714, -477505, -712760?\n\"Answer: -1392*g**3 - 7*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4\/7 + 17354*s**3\/7 + 3393872*s**2\/7 + 3720192*s = 0.\nAnswer: -8477, -192, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 91828 times 1.31\nAnswer: 120294.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 60 (b) -2\/11 (c) -29 (d) 19 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -272, -436, -654, -920, -1228?\nAnswer: -1572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**26*(p**(-33)*p*p)\/p assuming p is positive.\nAnswer: p**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 13*t. Let z be i(-2). Let c = 26 + z. Sort -3, c, 2.\nAnswer: -3, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1451348.\nAnswer: 2, 107, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 5. Give n(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2. Suppose 0 = 2*g - 3*n - 16, -4*n + n = g + 1. Suppose g*d - 9 + 99 = 0. Let f = d + 21. What is y(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -18*j - 36. Let q be f(-4). Suppose -m - q = -7*m. Calculate the highest common divisor of m and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010071 rounded to seven dps?\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -46c2 - -511?\nAnswer: -41b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21524*t + 25002.\nAnswer: 21524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, -11, 3, 4.\nAnswer: -11, -8, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*y + 4, 4*y = -2*b - y - 8. Let k = 1 - -8. What is the remainder when k is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(1 - 3) + 3. Let u(i) = -i + 10. Let o be u(r). Solve -5*n + 17 = -4*l, 3*l - 11 = -o*n + 2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/5 (b) 23.5 (c) 0.5 (d) -7.1 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 + 15*p**2 + 8*p + 8. Let u be f(7). Let b be (4 - (-14)\/7) + u. What is the greatest common factor of b and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 47578*(-1)\/(-13). Let v = 3659 + k. Let d be ((((-99)\/9 - -10) + -6)\/(-7))\/(-1). Is d greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39462, 39567, 39748, 40011, 40362?\n\"Answer: j**3 + 32*j**2 + 2*j + 39427","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -4.9.\nAnswer: 19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 - 76*n + 2448. Calculate c(23).\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -522622*i**4 - 2*i**3 + 9477*i?\nAnswer: -6271464*i**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3) + 0 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 15 - (-1402 + 1458)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -0.02, 34, 3 in decreasing order.\nAnswer: 34, 3, 0.01, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5845514.\nAnswer: 2, 2922757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3020 is divided by 97.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 108\/20 - (-6)\/(-15). Suppose 4*p + 4*i = -61 + g, 0 = -4*p - 3*i - 59. Is p at least -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*m**3 - 24*m**3 + 11*m**3 - 3*m + 8*m**3 - 72*m**3 as k*m**2 + y*m + c + p*m**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*sqrt(85)\/sqrt(5))**2.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 15*j**2 + 11*j - 75. Let z = 539 - 555. Let b be m(z). Put 5\/2, -2, b in ascending order.\nAnswer: -2, 5\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 11:11 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268414 a multiple of 343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.1 - 3.35. What is k rounded to one dp?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-1 + 5 - -2) + (548 - 546)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3964 + 9942. List the prime factors of f.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 6*v. Let g be c(5). Let y(x) = x**2 - 7*x - 5. Let b be -2 - 1 - 0 - -11. Let s be y(b). Solve -s*q = -8*q - g for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -603 - -585. Which is the biggest value? (a) q (b) -0.1 (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r + 6 + 1 + 2*r - 4*r in the form k + g*r and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 10695?\nAnswer: 85560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 939780 to the nearest integer?\nAnswer: 969","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -870, -1784, -2674, -3528, -4334, -5080?\nAnswer: -5754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.2 (b) -0.01303 (c) 2 (d) 5 (e) -0.5 (f) -0.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 210730 or 3?\nAnswer: 210730","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -3, 4, -49?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*d = -1135 - 6090. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43340 and 627660.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirteen fifths of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/18 and -29\/75822.\nAnswer: 227466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from koakaxxxaxxpkaappa. Give prob of sequence pao.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 315 - 222. Let p = f - 132. Let q = 39 + p. Solve n = -q*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10136302 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 129160643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 490290 to the nearest one thousand.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**3 + 5*i**2 - 2*i + 3. Let g be d(-3). Suppose 2*v = v - 5*c + 525, g = 4*v - 3*c - 2054. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.76117kg in grams?\nAnswer: 92761.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 609084*z. Let r(f) = 3*f**2. What is m(r(h))?\nAnswer: 1827252*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1957.5 and -72.\nAnswer: -140940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of (40\/16)\/(2\/192)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 11*x + 4. What is the remainder when 52 is divided by c(10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530*m**3 - 3 + 3 + 328*m**3.\nAnswer: -202*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322681172?\nAnswer: 2, 11, 53, 138371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (70 - -4) - 3. Let y = -61 + r. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 6427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1689*o**2 - 8460*o**2 + 1664*o**2 + 1704*o**2 + 1698*o**2 + 1702*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -2, 4, 2941 in decreasing order.\nAnswer: 2941, 28, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -4*l - 4. Let b be a(-1). Let n(j) be the second derivative of j**4\/12 - 20*j**2 - 5*j + 5. Determine n(b).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 36913*i - 369223. Determine n(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 3*s - 3*s + 0*s - s - s + (3 + 1 - 2)*(1 - 1 - s) + 4 - 2*s - 4 - s + 3 - 3 + 1 - s - 1 - 3*s + 4*s - 3*s)*(5 + 1 - 3).\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-1) - 27\/(-8))*38\/(-57). Sort -1\/8, -57, a in increasing order.\nAnswer: -57, a, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*j**2 - 6*j**2 - 8*j**2 + 3*j**2 + 7*j**2.\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-4)\/30*-10)\/(2\/87).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -42 * -0.413559\nAnswer: 17.369478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 24 - 48 = 0. Let y be (-8)\/(-32) - 33\/z. Suppose -4*d = 2*v - 156, y*d + 0*v = 5*v + 130. Calculate the greatest common factor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfc when three letters picked without replacement from ucrmrcfmrmmmum.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**3\/3 + p**2\/2 + 2*p - 843. Let c(q) = -2*q**2 - 2. Determine -2*c(l) - 3*m(l).\nAnswer: l**2 - 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1516*b + 84 = 1523*b. Calculate the lowest common multiple of b and 282.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of 0*u**4 + 0*u + 0 - 1\/60*u**5 + 1\/120*u**6 + u**3 + u**2. Is l(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -31*k**3 - 2291*k**2 + 339*k + 8657. Give y(-74).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/9, -0.4, -333, -7, 1, 0 in decreasing order.\nAnswer: 1, 1\/9, 0, -0.4, -5, -7, -333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 11*i**2 - 30*i + 16. Let k be w(7). Put k, 11, 90 in descending order.\nAnswer: 90, 11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 291, 1005, 2195, 3861, 6003?\nAnswer: 8621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -4*y**2 - 62976*y + 62980 = 0.\nAnswer: -15745, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-80*z**2 - 38*z**2 - 32*z**2)*(2 - 7 + 0) in the form y*z + j + t*z**2 and give t.\nAnswer: 750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20121366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13207 - -16192. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2235 (base 6) to base 5.\nAnswer: 4102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -53, 320 in descending order.\nAnswer: 320, 0, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 54*q**2 - 118*q + 239. Give k(2).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 19*w**2 - w. What is the remainder when f(1) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*o + 12*o - 12. Suppose -f + 6349 = i, 0 = -o*f - 3*i - 0*i + 25396. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 11 + 7)*(-2*z + 2*z + 4*z**4)*(-4*z + 4*z - 5*z).\nAnswer: -240*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -23933 (base 10) in base 15?\nAnswer: -7158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*o + i = 143*o, -o + 3*i = 8. Solve -8*d - o*d - 60 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33872, -33875, -33878, -33881, -33884?\n\"Answer: -3*s - 33869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 136\/7 - 1210\/63. Which is the closest to -1? (a) 0.4 (b) 1 (c) f (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 69 and -151599.\nAnswer: -151530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 3*o - 723, -90*z - 438 = -2*o - 86*z. Calculate the lowest common multiple of o and 462.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 233319065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(3\/5))\/(s*s\/s**(-8)*s)*s*s**(2\/13)*s**2)**(2\/11) assuming s is positive.\nAnswer: s**(-88\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5, -11, -5, 19, 67?\n\"Answer: q**3 - 13*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -7.6. Let t = s + -1. Let c = -0.2 + t. Is c greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 364 = 16*n + 11*n for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does -1089 = 9\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**2 + 0*p + 5*p - 3*p - p**2 wrt p?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1088*b**6 - 3221*b**2 wrt b?\nAnswer: 130560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: c (base 16) to base 15\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27165106 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (72\/774)\/(((-4)\/6)\/(-1)). Let n(h) = -h**3 + 16*h**2 - 15*h + 2. Let u be n(15). Let g be (u\/7)\/(18\/63). Is g at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 + -93. Suppose 6*p = w*p + 2*g, 2*p = 4*g - 8. Solve 5*u = 3*n - p*n + 5, 20 = -4*n for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36522 - -36589. Suppose g + t = 4*g - 5, -4*t - 11 = -3*g. Sort p, g, 0.4 in increasing order.\nAnswer: 0.4, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 3*t - g, -t + 9 = 9*g - 41 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1066*r - 959 - 245 = 217*r - 355*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-352)\/5 - (-4)\/10. Let u = y - -133. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182472 is divided by 225?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.362*204\nAnswer: -73.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -329630 and -329215 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 10 = 0, -5*k + 3*o = 8*o - 40. Suppose -k*s + 3*j = 75, 0*j - 5*j + 75 = -3*s. Let n be (-10)\/s + (-6)\/(-10). Let p(x) = 2*x - 1. Determine p(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16771, -33543, -50315, -67087?\nAnswer: -83859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/4, -3, -7, -1\/114?\nAnswer: -1\/114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -9) + (-7 - (-35)\/7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 390, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 2*h + 11, -2*h - h = -6. Suppose -5*t + y*t = -2. Suppose 25 - 10 = 5*z. Solve -t + z = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6317?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1269990, -1269989, -1269988, -1269987, -1269986, -1269985?\n\"Answer: n - 1269991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c + y - 22, 4*c + 4*y = 32. Suppose c*r = 5*r + 4. Let o = -2 - -3. Put 5, r, o in ascending order.\nAnswer: o, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1220 (base 6) in base 12?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 12906*j + 11455800.\nAnswer: 3*(j - 3050)*(j - 1252)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 73\/15 + -14\/3. Let c = -43239 + 43264. Sort a, -0.3, c, 0.1 in increasing order.\nAnswer: -0.3, 0.1, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 788399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*l = -4, 0 = 2*i - 3*l + 8*l - 20. Suppose -804 = h - i*h. Let f = -112 + h. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 21*c**2 - 3*c + 1. Suppose 8*z = 2*z + 6. Let v = -61 + 151. What is the remainder when v is divided by b(z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4*(-5*sqrt(112)*4 + sqrt(112)) - (3 + sqrt(7)*4 - sqrt(7))*-5*-1))**2.\nAnswer: -8670*sqrt(7) + 584872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 561 is divided by 145.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*a + 158*a = -9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*l**3 + 2*l**3 - 313*l - 17*l**3 - 10*l**3 - 5*l**3.\nAnswer: -63*l**3 - 313*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2217\/4 + 554. Which is the closest to -0.173? (a) 2 (b) -4 (c) n (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 3:04 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/6*10 - 3. Let y be (1 - l)*4 + 3. Let d(r) = 30*r**2 - 21*r + 6. Let s(g) = -6*g**2 + 4*g - 1. Let m(i) = 2*d(i) + 11*s(i). Give m(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4781938*0.1.\nAnswer: 478193.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 150 = -4*v. Let y = v + 42. Solve -8 = 2*h - 2*d, h - 2*d = d - y for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1094 a factor of 1009302823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqqk when four letters picked without replacement from qffqffkfkk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 - 5*h**2 - 4*h + 1. Let m be b(-4). Suppose -r + 6 = -m. Find the third derivative of a**4 - a**2 - r*a + 7*a wrt a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(180)*1*5 - 3*-1*(2 + sqrt(180)).\nAnswer: -132*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/9, -1, -13, 0.02?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110336740?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 9:08 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, q: 1, k: 3}. Give prob of sequence vqk.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = 0, 3*u = 5*u - 3*r - 16. Suppose -9 + 59 = u*q. Solve -c - 4*c = q for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t + 5*t + 5*t - 27*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 55*d + 312. What is m(-49)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 11*s**2 - 15*s + 25. Let v be q(5). Suppose v*k + 101 = 226*k. What is the remainder when k is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 314*y**2 - 11*y + 16. Is 21 a factor of d(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 25 = 4*w - 3*h, 6*w + 5*h + 21 = 30 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 + -59. Calculate the highest common divisor of c and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-2*sqrt(77)*-4)\/((sqrt(7) + sqrt(28)\/(sqrt(16)\/sqrt(4)))*-4).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x**2 - 22*x**2 + 4487 - 4486 + 44*x**2.\nAnswer: -11*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 121.1 and -305?\nAnswer: -36935.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 1. Let p(v) = -6*v**2 + v - 15. Let n(b) = 5*j(b) - p(b). Let o be n(0). Suppose -o*y = -6*y - 364. List the prime factors of y.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 768528142 to the nearest integer?\nAnswer: 27722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19)\/(253\/126 - 2). Let k = 28583\/12 + b. Let h = 1967 - 15807\/8. Calculate the common denominator of k and h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185 - 185 - 53*q.\nAnswer: -53*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7653*z**3 + 3*z**2 + z + 1. Let y be q(3). What is y rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -2, 4 in descending order.\nAnswer: 5, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 76 = 6*i. Suppose -3*c = i - 54. Is c at most as big as 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16915333 to the nearest integer?\nAnswer: 4113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - 0) + (-17 + 21 + 14 - 10 - 16).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 17*l**2 + 3*l - 33. Let n be x(17). Suppose -n*s = -2*s - 608. Suppose -5*q + y + 16 = -10, -5*q - 2*y = -s. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16.13 - 0.13. Let v = i - 15.35. Let h = 0.05 + v. Is 0.2 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 25375\nAnswer: -4\/25375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 9*n + 9. Let s(a) = 10*a - 4*a + 56 - 62 + n*a**2. Let v = 2 - 1. Let h(b) = b**2 + b - 1. Determine v*s(f) - 6*h(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52089803 to the nearest integer?\nAnswer: 7217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4*w + 4)*(0*w - 3*w + 5*w + 0 + 0 + 2*w + (1 + w - 1)*(5 - 3 + 0) - 3*w - w + w) - 87219*w + 1291*w**2 + 87219*w + (w + w - w)*(-3 + 3 + 2*w).\nAnswer: 1281*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1979\/3 - -658. Let y = -79 + 75. Which is the fourth biggest value? (a) 0.2 (b) l (c) y (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**4 + 17021179*l**3*o - 5*l**3 - 1098*l*o + 26766*l wrt l.\nAnswer: 12*l**2 + 102127074*l*o - 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -333.84 - -294. Let i = c - -36. Let s = -4 - i. Round s to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4*r - 16. Let b be p(5). Let k be ((-1)\/3)\/(b*6\/(-216)). Suppose -5*v + 3 = y - 15, -3*y - k = -4*v. Solve y*i = 12 - 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 11) in base 4?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -7*k**2 + k + 6. Let c(f) = f**3 + f + 1. Let r(u) = -c(u) + m(u). Let q be r(-7). Let a be 1\/(-2) + q\/10. Solve 0 = 2*d - a*d - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16039*o**2 + 32109*o**2 - 16069*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -124253\/11 - -11296. Let y = 2 - 1.6. What is the nearest to 0.2 in z, -3, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 8248 = 3128. Suppose -26*w = -18*w - d. Calculate the remainder when w is divided by 81.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6944 equal to -180565\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*d = 1303*d - 60417 for d.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 65 and 661830?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -d - 5*t, 6*d - 3*t = d + 44. Suppose -4*n = n - d. Let b(h) = 2*h**3 + h. Does 9 divide b(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 93*g - 266. List the prime factors of w(32).\nAnswer: 2, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2116271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/(-40)*1\/3*(-1)\/10?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*p = 15 + 2, -4*z + 4*p = -20. Is 3 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2680.85 rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7*k**2 + 13*k - 4. Let p be l(-3). Suppose 0 = p*u - 19*u - 33. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -89, -4, -5 in decreasing order.\nAnswer: 2, -4, -5, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -13. Suppose 4*c + r - 1 = 0, -c = -u*c - r - 1. Suppose -3*w - 2*w + 3*p = -10, 4*w = p + 1. What is the smallest value in c, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23026059, 23026081, 23026141, 23026257, 23026447, 23026729, 23027121?\nAnswer: 23027641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) 1 (c) 1\/7 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 78.41017 kilometers?\nAnswer: 78410170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 40 - (-26 - 102\/(-2))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 0*i + 55\/4*i**4 + 1\/3*i**3 + 1\/5*i**5 + 6*i**2 - 22. What is the third derivative of r(m) wrt m?\nAnswer: 24*m + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*w + 3*w - 25*w)*(10 - 5 + 6)*(3 - 6 + 2) to l*w + x and give l.\nAnswer: 429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 bigger than -83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -5*sqrt(245)*-4 - 3*((-3 + sqrt(180))**2 + -1).\nAnswer: -559 + 248*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52)\/(-3) + 2\/(-6). Let z = 15 - 9. Suppose z*q = 7*q - 136. Calculate the greatest common factor of q and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}