diff --git "a/data/dm_maths/full_data_1/10062_11255.jsonl" "b/data/dm_maths/full_data_1/10062_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10062_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 3*b + 60 = q - 5, b + 35 = 3*q. Let h be 5\/4 + 5\/b. Let d be h*2\/(-6)*(1 + -16). Solve 3 + d = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0025479023 rounded to five dps?\nAnswer: 0.00255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 0*m**2 + 0 + 0*m**3 - 1\/12*m**4 - 13*m. Let a(w) = 9*w. Give u(a(s)).\nAnswer: -81*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 750177?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of 1\/24*z**4 - 3\/2*z**2 + 0*z**3 + 0*z - 8. Let v(i) be the second derivative of p(i). Let g(n) = -10*n. What is v(g(h))?\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2458236 to the nearest integer?\nAnswer: 1568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 108*b**2 - 828*b - 1248.\nAnswer: -3*(b + 2)*(b + 8)*(b + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and (-3)\/(-2)*56\/21?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000698781 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35180 + 35180 - 1634*o.\nAnswer: -1634*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3562672 is divided by 1781333?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 355 + -214?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -7*p**2 + 257*p - 654. Determine i(34).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*k**2 - 8 + 2*k - 13*k**2 + 19*k**2 + 6*k.\nAnswer: -2*(k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9332735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6 + 2. Let j = 0.4 - h. Let w = 0 - 0. What is the closest to w in j, 5, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 139, 1, -2, -1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-36)\/10 - -4)\/(27\/15). What is the nearest to 0 in b, -0.5, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1412, 1523, 1704, 1955, 2276, 2667?\n\"Answer: 35*p**2 + 6*p + 1371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.12 or 11?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(351) + sqrt(351)*-1)*-2 + sqrt(351) + sqrt(351) - sqrt(351))\/sqrt(9))\/((sqrt(75) + sqrt(75)*2)*-5).\nAnswer: -sqrt(13)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6328 is divided by 351.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**2\/5 + 482*f\/5 - 1428\/5 = 0. Calculate f.\nAnswer: 3, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12*3\/(-1890)*5\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 2*d - 1. Suppose g - 7 = t, 0*g + g - 4*t = 16. Let z = g - 1. Does 2 divide q(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, -59680, -22 in ascending order.\nAnswer: -59680, -22, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -627*u + 28750. Determine w(46).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16490*a**3*t**2 + a**3*t - 1553*a**2 + 9*a*t**2 wrt a.\nAnswer: 98940*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2735\/21191 or -1?\nAnswer: 2735\/21191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 6)*(-5*p**5 + 24*p**5 - 11*p**5).\nAnswer: 32*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*o**2*p**3 + 95*o**2*p - 3*o*p - 2*p**3 wrt p.\nAnswer: 66*o**2*p - 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/(-12))\/(0 + 2). Let u = 56.1 + -56. What is the closest to 2 in c, u, -1\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10292087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -61944432.7 to the nearest one thousand.\nAnswer: -61944000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2. Let w(c) = -7*c**2. Suppose 3*j = -i - 4, 4*i = j + 5*i. Suppose 0 = -r + 2*r + 3*y + 18, -5*r + 2*y - 39 = 0. Give j*w(m) + r*g(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 10111101101111010?\nAnswer: 10111101101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22531869.\nAnswer: 3, 29, 131, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.041 * 72458.\nAnswer: 2970.778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6)\/((-18)\/(-27))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -2023?\nAnswer: -2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -34*h - 33. Let s be n(-1). Let j = s + 62. Let v(t) = -t + 7. What is the remainder when j is divided by v(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (13 - 5)) + (1 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5011002 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + j = 1 - 9, 3 = -2*i - j. Put 0, i, -3, 24, 1 in increasing order.\nAnswer: i, -3, 0, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27162 (base 12) to base 15\nAnswer: -10e0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 4*a - 49, 0 = y + 4*a - 0*a - 5. Suppose -3892 = -y*l + 4199. List the prime factors of l.\nAnswer: 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**(1\/5)*u*u**(-5)*u**(7\/3)*u*u\/u**(-8) assuming u is positive.\nAnswer: u**(158\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - u + 14, -7*u + 25 = y - 2*u. Let m = 12 + -6. What is the least common multiple of y and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n - 12. Suppose 5*u + 30 = 2*r + 3*u, -r - 5*u + 3 = 0. Let l be o(r). Let s be (-3 + 3)\/(l\/(-1)). Which is greater: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/168*6\/(-4)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.5523529 - -8.552. Round p to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1087*t + 1089*t + 3421*t**2 - 292*t**2 + 9.\nAnswer: 3129*t**2 + 2*t + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5915803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.1512991 to 2 dps.\nAnswer: -10.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.037 and -400805586373.\nAnswer: -400805586372.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 1322934?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -10*n - 1. Let h be z(-1). Let l be 4\/6*h\/2. Let t(f) = 2*f**2 + 5*f + 1. Let w be t(-3). Sort l, w, 9 in decreasing order.\nAnswer: 9, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18.08 * -12091\nAnswer: 218605.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4211, -1, 5, 819.\nAnswer: -1, 5, 819, 4211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 19340 = -3*p + 6993, -5*l + 4*p = -15435. Calculate the lowest common multiple of 4 and l.\nAnswer: 12332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.4632 rounded to 1 decimal place?\nAnswer: -25.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 65 - 31. Suppose p - 3*b = 427, -5*p - 39*b + 2075 = -o*b. What are the prime factors of p?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*a + 439 = -21*a + 583 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -3\/20*v**4 + 0*v + 12\/25*v**5 + 0*v**2 - 1 - 7\/30*v**6 - 2\/15*v**3. Find t, given that c(t) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 167 = -217. Let u = -59 - g. Solve 3*k + 5*p - 2*p - 6 = 0, -5*k + u*p - 30 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 2*b**5 - 10*b**3\/3 - 7. What is the third derivative of h(c) wrt c?\nAnswer: 240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 685285*p + 1370574.\nAnswer: -(p - 685287)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 6576\/168 - (1776\/(-112) - -18)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/1)\/(14\/(-6)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32032122 (base 4) in base 8?\nAnswer: -161632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -15, -36, -63, -96?\n\"Answer: -3*q**2 - 12*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k + 53. Suppose -46 = 3*y - 16. What are the prime factors of f(y)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k + 217. Let d(s) = -s**2. What is r(d(j))?\nAnswer: 5*j**2 + 217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 40 = 58 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77 - -146. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 66 in ascending order.\nAnswer: -3, 0, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**0\/c**(3\/7)*c**(-9)\/(c\/(c\/((c*c**(-2\/25))\/c)))*(c**(-1\/2)*c\/c**(-4))\/(c**(1\/2)*c*((c\/(c**(5\/6)*c))\/c)\/c) assuming c is positive.\nAnswer: c**(-3691\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -167\/78 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -8. Calculate the remainder when 46 is divided by (-12)\/(-4) - 27\/a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1211 (base 3) to base 5\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5201141?\nAnswer: 11, 472831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 6*d - 4. Let o be r(4). Let w be (-42)\/21*(o + (-4 - -2)). Let i be w\/12 - 16\/(-12). Is 8\/15 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + 12*a - 22. Let o be w(3). Put -25, o, -1, 1 in increasing order.\nAnswer: -25, o, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3450 (base 6) to base 10\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 83 - 58. Suppose -8*p + 13*p = d. Solve 4*q - 3*q - 5*w = -7, -p*q = w - 17 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 5 + 30. Suppose -9 = k*a - 3*j, j = -3*a - 3*j + 12. Solve a - 4 = -2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6 = -3. Let c(u) = 3*u**2 - 2*u + 1. Let y = -12 - -21. Calculate the remainder when c(i) is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(65) - sqrt(65)*2) + sqrt(65) + sqrt(65) - sqrt(65)))\/(sqrt(60)\/(sqrt(72)\/sqrt(6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 16 + 8. Which is the closest to 2? (a) 2 (b) t (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + k - 617 - 252, 0 = 2*h + 2*k - 586. Suppose -52*l = -53*l + h. What is the greatest common divisor of l and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 times -3984.8\nAnswer: -151422.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + -0.05287.\nAnswer: -0.35287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20171 = 3*h + 5*b, -5*h + 14424 = -4*b - 19108. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 + 0. Let p be 116\/36 + (-3 - 0). Sort p, u, 4\/7.\nAnswer: u, p, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 0. Suppose 2*k + 6 + 10 = -5*c, 1 = -k + c. Let n = k - f. Solve n*x + 4 = 4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 3*w - 4. Let i = 13 - 10. What is a(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1140320 (base 7) to base 15.\nAnswer: 2caeb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + -0.1. Let b(y) = -y**3 + y**2 + 2. Let v be b(0). Let t = -5133 - -5130. What is the closest to 1 in x, t, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220200101 - -12?\nAnswer: -1220200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -79108.671 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -129*r + 129*r - 19*r**3 + (1 - r - 1)*(0 + 0 + r**2) + 70*r - 70*r + 10*r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b + 131890 = 36724. What are the prime factors of b?\nAnswer: 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/(-875)*(-483)\/(-276)*(-24)\/(-63)?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = o + 4*c + 2246, -4*o = -12*c + 8872. Is -2230 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dzz when three letters picked without replacement from {z: 3, d: 4, b: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 58, 110, 216, 394, 662, 1038?\nAnswer: 1540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m. Suppose 0 = 3*j + 5*f + 2, -3*j + 14 = -4*j - 5*f. Suppose -n + j = n. What is the units digit of b(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 181, 51850, 3 in increasing order.\nAnswer: 2, 3, 181, 51850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.007 + -0.093. What is the closest to l in 9, 5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2275 by 15.\nAnswer: 455\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*sqrt(288)*-2 - sqrt(288)))*2.\nAnswer: -120*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15933*d**3*i**4 + d**3 + 4*d**2*i**2 - 271*d**2 - d*i**5 + 12*d*i**2 wrt i.\nAnswer: -382392*d**3*i - 60*d*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160 - 163. What is the remainder when 173 is divided by 1 - p - (-4)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**1)\/b*b*b\/b**(-2\/9))\/(b**(-2\/5))**(1\/7)*b**(-1\/7)\/b**0*(b**1*b)**(-17) assuming b is positive.\nAnswer: b**(-10352\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from aeaaeaaeeaaaeaaeaa?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 45.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 g when two letters picked without replacement from {g: 1, c: 19}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(2\/25)))**39\/(t**(-15)*t\/((t\/(t*t**(2\/3)))\/t*t)*t*t) assuming t is positive.\nAnswer: t**(616\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 700482*r**2 + 280608*r wrt r.\nAnswer: 1400964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttbtttbt. Give prob of picking 3 t.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 108406\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from itnqpqqmmttq. Give prob of picking 1 i and 2 q.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -293, -555, -807, -1043, -1257, -1443?\n\"Answer: m**3 - m**2 - 266*m - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1243 and 14125.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 12:20 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 9:32 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1251582?\nAnswer: 1\/1251582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + 0. Calculate the remainder when n is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**2 + 3. Let c(z) = -7*z**2 - 5. Let k(g) = -g**2 + 7*g + 11. Let o be k(8). Let j = 1 + -8. Let v be (5\/(-2))\/(j\/14). Calculate o*c(r) + v*i(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m + 89. Give l(28).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -22 - -1) + (536 - 564).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(175) + 1))*-5 + (-4*(sqrt(700)*2 - sqrt(700)))**2.\nAnswer: 20*sqrt(7) + 11205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38119 (base 10) in base 4?\nAnswer: 21103213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230256 is divided by 234.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 198 a factor of 556974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 54, -4.\nAnswer: -5, -4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 881043756 - 881043241.000209. Let u = -515 + a. What is u rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/2 + 557*t + 7847\/2.\nAnswer: -(t - 1121)*(t + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**3 - 3*w**2 - 2*w - 2. Let c be v(2). Let o(h) = -h**3 + 7*h**2 + 5*h + 2. Let m(g) = -g**3 + 8*g**2 + 6*g + 2. Give c*o(a) - 5*m(a).\nAnswer: -a**3 + 2*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1415, 2832, 4253, 5678, 7107?\nAnswer: 8540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 18281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 7*b + 2*b. Suppose -5*i - 16 = -b*p - i, -4*i = 3*p - 4. Solve 0 = 2*h - h - p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 444865150?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 1:08 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7426902, -29707610, -66842126, -118830450, -185672582, -267368522, -363918270?\nAnswer: -475321826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0*h + 3*h = -17, 0 = d - 4*h - 14. Let o(c) = 2 - c**2 - 5*c + 2*c**2 - d*c. Suppose -5*j + 6*j - 5 = 0. What is o(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 4*d**3 + 0*d)*(-1 + 1 + 4) + (-2*d**2 + d**2 + 0*d**2)*(d + 0*d + d).\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*z**3 + 16*z**3 - 27*z**3.\nAnswer: -34*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*c**4 + 165\/2*c + 19\/2*c**3 + 0 - 103\/2*c**2.\nAnswer: -c*(c - 11)*(c - 5)*(c - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*9*(-4)\/48?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 1740085*p - 1740080.\nAnswer: -5*(p + 1)*(p + 348016)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 71777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25979 - 25969. Solve -m + v + c = 0, 6*v + 36 = m + 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4334550 by 2775.\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 11:05 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 8*s + 39. Calculate i(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/25 - (-20)\/(-50). Suppose 6*y + 103 - 121 = w. Solve y*g - 1 = 2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from {h: 9, f: 9}?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -669.6 - -665.6. Is q != 340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3927\nAnswer: 3922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3281 + -3278. Solve -7 = -3*x + 5*i, -5*x + p*i - 5 = -22 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/3)\/(2\/6). Let k be (-1 + -2)*(-6)\/(-9). Let v be 0\/(-2) + 1 - k. Solve -16 + 1 = 5*g + 5*h, v*g + 2*h = -j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392)*2)\/sqrt(8))\/(2*sqrt(252) + sqrt(252)).\nAnswer: sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mim when three letters picked without replacement from iiiuurmimuuinxx?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -334 - 3?\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 10 = -2*r, -3*r - 5*y + 23 = -3*y. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 739637291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 97193 - -100?\nAnswer: 97293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -8. Let l = -26 + 26. Let r = f + l. Which is the smallest value? (a) r (b) -3\/2 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1318 + -1303 - (18 - (0 - 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -285*i - 822. What is the smallest common multiple of (-2)\/(2 + 36\/(-15)) and m(-3)?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 33. Let m = i + -153. Let u = m - -251. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306753 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 71529659 - 71530475.00573. Let s = k + 816. What is s rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1095534469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from {o: 2, h: 1, q: 4, u: 1, s: 1, c: 11}?\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583602 is divided by 1485.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -75b9 (base 12) to base 11\nAnswer: -980a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 24537?\nAnswer: -24544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 31*h - 46. Let w(l) = l**2 + 32*l - 47. Let q(j) = 2*j + 19. Let z be q(-7). Let a(s) = z*b(s) - 4*w(s). Is a(-30) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -73*i**4\/24 + 63*i**2\/2 - 2*i - 104. Let u(n) be the first derivative of p(n). Let a(y) = -2*y. What is u(a(f))?\nAnswer: 146*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 82003 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*-3*9\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -115410015 + 1?\nAnswer: -115410014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmh when three letters picked without replacement from {m: 3, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 788*a*g**2 + 2*a*g*w - 3*a*w - 587*g**2*w wrt w.\nAnswer: 2*a*g - 3*a - 587*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 203531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-7))\/(((-22)\/11)\/14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.019, -2\/7, -8, 1 in decreasing order.\nAnswer: 1, -0.019, -0.1, -2\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is d4799 (base 14) in base 3?\nAnswer: 222000011221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39562346.19 + 4.28.\nAnswer: 39562350.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -k + 8, 5*k = 75*p - 73*p + 40. Solve 0 = -3*r - k*r + 44 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9794, 77878, 262662, 622490, 1215706, 2100654?\nAnswer: 3335678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*b**2 - 288 + 288)*(22*b**2 + 14*b**2 - 28*b**2) to the form a*b**4 + w*b + f*b**3 + s*b**2 + j and give a.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 12*b + 10. What is w(12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42699 smaller than 298895\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g - 2*g)*(12141 - 5919 + 4*g - 5863 - 2*g + 0*g + 4*g - g + 3*g - g + (0 + 2*g + 0)*(2 + 1 - 1)).\nAnswer: -22*g**2 - 718*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -29. Let g = c - -24. Suppose g*j - 413 = 21*j. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1134 - -1131) + 2 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1877 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -582.8?\nAnswer: 582.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -5\/2 (c) 0.4 (d) 2295\/934\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/98 (b) -0.7 (c) 4 (d) -491 (e) 3\/11 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11318, 23569, 35820, 48071?\n\"Answer: 12251*w - 933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 281825*v**2*x**4 - v**2*x - 58*v*x**2 + 4*v*x + 222*v + x**3 wrt x.\nAnswer: 6763800*v**2*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**5 - 79453*r**4 - 715019*r**3 - 1827215*r**2 - 238296*r + 2859984 = 0 for r.\nAnswer: -79444, -4, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28180936337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2 - 10*c + 7. Let p = -18 - -17. Let l(a) = -a**2 - 1. Let n(u) = p*q(u) + 2*l(u). Let d be n(-11). Put 6, d, 4 in descending order.\nAnswer: 6, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.846327 less than -0.988?\nAnswer: 12.858327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -6*y + y - 60, 0*c - 16 = y - 4*c + 2*c for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 13*p**2 - 11*p + 15. Let l be w(-12). Suppose 0 = r + l*r. Suppose 0*b - b + 37 = r. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -387 + 390. Suppose 3*l - 170 = -5*a, a + w*l = -l + 34. Calculate the lowest common multiple of 18 and a.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1546\/9 - -172. Suppose -6*a = -2*a - 2*t - 16, -5*a + 29 = 2*t. Let r be (-44)\/(-60) + (-2)\/a. Put i, 0, r in decreasing order.\nAnswer: r, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2038*v**4 - 3020*v**4 + 163*v**4 + 1720*v wrt v?\nAnswer: -58740*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -75, -63?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.202 + 0.654. Let c = 0.452251 - m. What is c rounded to five decimal places?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**2 - 330405885*c - 330405880 = 0. Calculate c.\nAnswer: -66081176, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1260223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 i when four letters picked without replacement from kffkkkrivvrvkkkrvf.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 10*l = -186. Let h = 57 + l. Let r = 39 + h. What is the smallest common multiple of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17004.672 and 33.3266?\nAnswer: 17037.9986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 244 - 240. Solve z*s + s = 4*g + 7, -5*s = 3*g - 21 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1251 (base 6) to base 4.\nAnswer: -10333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 8*k**2 + 4*k + 6. Let n(s) = -s**3 + 8*s**2 + s - 19. Let d be n(6). What is the remainder when p(-5) is divided by ((-8)\/5)\/(-3 + d\/20)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*f - 8*f = -2220, p + 3*f = 1118. Calculate the remainder when p is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 951883?\nAnswer: 389, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-541)\/7 + (-16)\/(-56). Let c = l - -81. Suppose -4*o + 12 = c. Calculate the smallest common multiple of 4 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 468? (a) 3 (b) 2.1 (c) 0 (d) 71 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200 = -242*u + 217*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + 0)*(424\/32)\/53.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41277 + 41855.94. Let j = z + -579. Sort j, 0.5, -4\/17 in ascending order.\nAnswer: -4\/17, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 + 33*c**2 + 105*c + 75.\nAnswer: 3*(c + 1)*(c + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-48))\/((-39)\/(-6))*-2.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 35*l**2 - 116*l + 1112. Calculate y(-30).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18684*x - 1651783 + 484406 = 1168123 for x.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 5*v - 21 + 26, -18*v - 25 = 5*a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 66, 157, 302, 519, 826, 1241, 1782?\nAnswer: 2467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 100110001100?\nAnswer: 100110001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 75959 (c) 17 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 32*w - 1048. What is the remainder when 212 is divided by d(33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 431070 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -156139450*z**3 - 8770*z**2 + 30837*z wrt z.\nAnswer: -936836700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8\/(-70))\/((-1380)\/(-966)))\/(34\/10).\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of -b**8\/504 + b**7\/270 + b**6\/108 - 17*b**5\/540 + b**4\/36 + 60*b**2. Let w(d) = 0. What is d?\nAnswer: -3\/2, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 7*z + 11. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 + 6)*(-1 + r + 1)*(0*r**2 - 3*r**2 - 3*r**2) to j*r**2 + l*r + p*r**3 + y and give p.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -10*x**2 + 477*x - 62. Let t be a(61). Is -8176 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h*h*(((h\/(h**(-2\/5)\/h)*h)\/h)\/h*h)\/h*h)\/h))\/h)**20*(h\/(h*(h*h**(29\/2)*h)\/h))**(-20))**9 assuming h is positive.\nAnswer: h**2178","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((1\/7)\/(54\/189)). Let -m - 2\/3*k**2 + 8\/3*k = 0. Calculate k.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64 + 66. Suppose 3 = -i*q + 153. Calculate the greatest common divisor of 15 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.19 + 7.19. Suppose -2*c - 12 = c. Put 3, -1\/26, c, l in descending order.\nAnswer: 3, l, -1\/26, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 8:13 AM?\nAnswer: 5:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 41902, 3 in decreasing order.\nAnswer: 41902, 3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 7*f**2 + f + 2. Let l be r(-7). Let v(c) = 4*c**2 - 5*c - 5 - 5*c**3 + 12 + 6*c**3. What is v(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 46*y + 121. Calculate the remainder when n(6) is divided by 138.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnrzguuuzu. Give prob of sequence uzn.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/791 and 79\/63.\nAnswer: 7119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 674893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4 - 21*d**2 + 4. Let q(t) = 2*t. Let h(i) = -i. Let m(w) = 5*h(w) + 2*q(w). Determine g(m(x)).\nAnswer: -21*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/(d**1\/d))*d)**(16\/5)*(((d\/d**(2\/9))\/d)\/d)**(4\/7)*(d**(-2\/21)\/d*d*d\/d**(-2))**42 assuming d is positive.\nAnswer: d**(7642\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*a - a - 2595*a**3 + 2810*a**3 - 10*a.\nAnswer: 215*a**3 - 25*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*a - 37613 - 13165. What is the thousands digit of -15 + 8 + a\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143170 divided by -228634?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from yggggsspg?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**2 - 2*i**2 + 0*i**2)*(5 + 2 - 4).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 18010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 5, m: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 43\/3 of a minute?\nAnswer: 860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4541 divide 2543517210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1224 = -131*l - 150*l + 349*l for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(156) - 4*-1*sqrt(156)))\/(((sqrt(132) + 2*sqrt(132))*6 - sqrt(132))\/sqrt(11)).\nAnswer: 20*sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-96)\/5464)\/2)\/(-3). Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -168\/5*x**2 - 2\/15*x**3 - 395136\/5 - 14112\/5*x.\nAnswer: -2*(x + 84)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 11:40 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582*w = 578*w + 2*n - 16, 5*w + 20 = n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -173 - -37. Let n = a - -142.3. Let b = n + -6.61. Round b to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from {x: 18, f: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 30 times -161\nAnswer: -4830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294627 = -10482*q + 22095 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j*u**2 - 8827*j*u + 766886*j - 10*u**2 wrt u.\nAnswer: 6*j*u - 8827*j - 20*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 7694040*o**2 - 30776208*o.\nAnswer: 3*o*(o - 2564684)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkllllkkkkkllklkll. Give prob of sequence lkk.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 925010.2km in millimeters?\nAnswer: 925010200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 27233 - 27233 - 2052*g as z + n*g and give n.\nAnswer: -2052","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, 1\/4, 2700, 0.9, 2\/5, -0.2?\nAnswer: 2700","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18480\/8800*(5\/(-35))\/((-3)\/6). Factor 2\/5*b**2 + 1\/5 - q*b.\nAnswer: (b - 1)*(2*b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 718.598 (b) -0.03 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3477613*a + 579. Let h be r(17). Round h to the nearest 1000000.\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*r - 30*r - 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -2\/53, -0.5, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 - 346\/5. Which is the closest to -2? (a) -0.3 (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2 = 2*y - 32, 3 = -3*y. Let d = 7 - x. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6932543228.\nAnswer: 2, 13, 1481, 90019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m + 4*m = 531. Let v = -81 - -174. Let w = v + m. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20 + 0 + -7 - (40 + -9)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2196 = 959*n + 20417 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -28\/75 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 + b**2 - 6*b**2 - 6*b**2 as d*b + q + p*b**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286634616.\nAnswer: 2, 3, 11943109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7200.9907 - 7201. Which is greater: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35238 times -61?\nAnswer: -2149518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 - 705 = -l + q, 1012 = 2*l + 2*q. Suppose 1022 = 4*k + 6*v - v, -2*k + l = -v. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 3*o + 5. Let g be (3\/6)\/(1\/(-4)). Let c be 0 - (-2 - -10)\/g. What are the prime factors of f(c)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*(-2*(-1)\/8)\/((-3483)\/(-46440))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1350\/(-1215))\/(34\/(-24) + (-96)\/(-128))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 11:39 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfr when three letters picked without replacement from hrfhrhfehyyw?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44731 (base 13) in base 15?\nAnswer: 26c3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000893589811 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 2\/(-6) + 0 + (-12218)\/(-6).\nAnswer: 4072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3072*w**2 - 1464*w**2 + 1378*w**2.\nAnswer: 2986*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**4 + 2*k**3*q + 10*k**3 + 2*k*q - 19*k wrt k.\nAnswer: -12*k**2 + 12*k*q + 60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 990 and 121470.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u - 26. Let g be i(-8). Let b = 20 - -9. What is the first derivative of 0 + 1 - 15*r**4 + b + g wrt r?\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of x**7\/7 - 5*x**4\/12 - 8*x - 9. Let u(t) be the first derivative of l(t). What is the third derivative of u(c) wrt c?\nAnswer: 360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3\/8 (b) -11\/16 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 703052177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/8))**(16\/9)\/(y\/y**9*y)**(-9\/7))**(2\/51) assuming y is positive.\nAnswer: y**(-158\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7475, -7549, -7623, -7697, -7771?\n\"Answer: -74*d - 7401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 43493141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 3 = -0*h, -h = 4*q + 1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1900) + 0 + 4 + (sqrt(1900) - ((sqrt(1900) - (sqrt(1900)*-1 - sqrt(1900))) + sqrt(1900))**2*4) + -5*(1*(sqrt(1900) + sqrt(1900)*-3))**2.\nAnswer: -159596 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, n: 1, w: 1, r: 2, u: 1, c: 1}. Give prob of picking 1 r, 1 i, 1 u, and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.5 (b) -1459 (c) -2\/7 (d) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 * -49025\nAnswer: 1961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3909 + 8*v**2 + 14*v + 2*v**4 - 1938 - 1971 as k*v + n*v**3 + h*v**2 + d*v**4 + t and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 2*((-4)\/(-2) - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 6:52 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 473*m + 21275. What is h(-45)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -4*g**2\/7 - 348*g\/7 - 344\/7 = 0.\nAnswer: -86, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10356613?\nAnswer: 10356613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32, 44, 256, 670, 1352?\n\"Answer: 11*q**3 + 2*q**2 - 7*q - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or 369\/34?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -111.45899 + 77.1604. Let z = y - -34.3. Round z to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of k**5\/72 - 5*k**3\/36 - 11*k**2. Factor t(l).\nAnswer: 5*(l - 1)*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, -0.1, 5, -5 in decreasing order.\nAnswer: 5, -0.1, -5, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 11\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1430534.\nAnswer: 2, 7, 102181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (119\/357)\/(1\/81717) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*-0.04958\nAnswer: 0.0014874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9 - -4)*12\/5. Let s(h) = -3*h + 6. Is 14 a factor of s(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.5, -2\/5, 15, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*j - 95*j + 127*j - 6480360 = 0. Is j a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155 - -0.079.\nAnswer: -154.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6102, 7 in decreasing order.\nAnswer: 6102, 7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.4 + -24.4. Let m = s + 21.2. Let w be 9\/12 + (-87)\/84. Which is smaller: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -103*f - 69*f + 88*f + 87*f. Let s(d) be the third derivative of d**5\/5 + d**2. Determine y(s(h)).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1565020479 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4*(sqrt(104) + (sqrt(104) - -2*sqrt(104))) + sqrt(104) - 5*(sqrt(104) + 1*sqrt(104))))\/(6*sqrt(16)\/(sqrt(2) + -2*sqrt(2)*4)).\nAnswer: 350*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-5))\/((w\/(w**(-3\/8)\/w*w))\/w*w))\/(w**(-6)\/w*w*w*w**(-8)) assuming w is positive.\nAnswer: w**(141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -672 by 56.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 1\/3*z**3 + 2*z + 0*z**6 + 0 + 0*z**2 + 0*z**5 + 0*z**4 - 1\/42*z**7. Find the second derivative of l(a) wrt a.\nAnswer: -20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 2)*(1085*d**3 - 3 + 4 - 1073*d**3 - d**4) in the form g*d**3 + t*d + j + z*d**4 + m*d**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -147479 and -2507138\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 5 - (1 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2 + (-15)\/(-10))*4)\/1. Which is the nearest to -0.1? (a) o (b) 1 (c) -6\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1200559771.4455028 + 1200562386. Let h = -2622.5545 + g. Let o = h - -8. Round o to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2433*y - 1012. Is b(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6144, -6288, -6522, -6840, -7236, -7704, -8238?\n\"Answer: m**3 - 51*m**2 + 2*m - 6096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40204203 + 0?\nAnswer: 40204203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - 11 - (1 - (11 - (9 + -5)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -340\/23 - -703\/46. Which is the third smallest value? (a) 7 (b) u (c) -0.19 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*c**2 - 43*c**2 - 42*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -292, -2.59, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 16*l - 8. Let m be o(-8). Let a = 95 - m. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -4, -5 in increasing order.\nAnswer: -5, -4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 3*o + 2*o - 35, -4*o = -3*q - 7. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2443 + -1661. Is t a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o*o**(-18))\/o))\/(o\/((o*(o**1*o)\/o)\/o*o))*(o**26\/o)**(1\/36) assuming o is positive.\nAnswer: o**(745\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 691784710*f**4 + 487009578 wrt f.\nAnswer: 2767138840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 3*z - 4. Let j be a(5). Suppose j*g - g - 10 = 0. Suppose 16 = -4*b, -2*b = -2*n + g*b + 20. Solve 2*x = 4*x - 2*w, -n*x + 20 = 3*w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 36 = -5*q. Calculate the smallest common multiple of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 641157.\nAnswer: 3, 11, 19429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 706 smaller than 707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2161.1 rounded to the nearest 10?\nAnswer: -2160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/2 of a hour?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 51 = -9. Let a(y) = -y**2 - 9*y - 7. Let h be a(n). What is the first derivative of -26 + 5*s**3 + 3 + s**3 + h*s**3 wrt s?\nAnswer: 39*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 25206973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/12)\/((-9)\/(-75)) and -56\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (24\/4)\/(2\/(-5)). Let y = c + 28. Calculate the remainder when y is divided by (-10)\/45 + 130\/18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1\/7 (c) -2 (d) -57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 3*f + 1. Let c be h(6). Suppose 14*z = 10*z + 76. Let d = z + c. Solve -d*y = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4)\/z*z**(2\/11))\/((z*z*z*z**(-3)*z)\/z*z**(1\/8)))**22 assuming z is positive.\nAnswer: z**(-435\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 219026 times -2\nAnswer: -438052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c**2 + 2*c**2 - 4*c**2 - 687*c + c**2 + 2302*c in the form a*c + t + s*c**2 and give a.\nAnswer: 1615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 214?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 9*s - 8. Suppose 2*u + 3 = -9. Determine c(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 2:17 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) -1 (c) -0.1 (d) 15.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**3 - 3*u**2 + 13. Let k(x) = -x**2 - 1316*x**3 + 4 + 1315*x**3 + 2*x - 2*x. Determine 7*k(m) - 2*z(m).\nAnswer: -m**3 - m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 q when four letters picked without replacement from {i: 7, h: 9, q: 2}?\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.052 + 0.252. Which is the biggest value? (a) -2 (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10.95 + 37.05. Put -1, -4, t, -3 in ascending order.\nAnswer: -4, -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p + 17*p = 407. Let c = 78 + p. Let q = c + 532. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -319*p**7\/105 + 2*p**5\/15 - p**4\/12 + 10*p**3\/3 + 2281*p**2 + 2. What is the third derivative of t(w) wrt w?\nAnswer: -15312*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 106069562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 6*y - 7*y**2)*(5*y - 1 + 1) - y**3 + 5*y**3 - 2*y**3.\nAnswer: -33*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*n**4 - 12*n**3 - 7*n**3 + 5*n**2 + 19*n**3 wrt n.\nAnswer: -648*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d = 5*z + 4, 11*z - 82 = -4*d - 98 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39609 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -61. List the prime factors of l.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4309, 8619, 12929, 17239?\nAnswer: 21549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, t: 1, s: 3, e: 3, r: 1}. What is prob of picking 1 e and 1 z?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 178 and 14.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7))**(6\/13)*n*(n\/(n\/(n*n\/(n\/(n\/((n**(-1\/3)\/n)\/n*n))))))\/n*n*n\/(n**(-5)\/n) assuming n is positive.\nAnswer: n**(3130\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 0*m**2 + 2\/7*m**4 + 3\/140*m**5 + 6\/7*m**3 + 0 + 139*m. Find j such that u(j) = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-135)\/(-486)*-9)\/(690\/368)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 49 and 2286823?\nAnswer: 2286774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -1. Suppose -i + 25 = -4*s, -s - s - 2*i = 0. Put 1, s, k in ascending order.\nAnswer: s, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448051 and 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 14 - 13 = 0. What is the nearest to 1 in -2, r, 86, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 101, 188, 321, 494, 701, 936, 1193?\n\"Answer: -w**3 + 29*w**2 + 7*w + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 933082.\nAnswer: -1\/933082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/12 + 26\/3. Let f = 10 + p. Is ((-2)\/(-1))\/(f\/315) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 516434363 to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -1. Let n(q) = -4*q + 33. Let k(s) = n(s) - 3*t(s). What is the tens digit of k(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 5*t + 62 + 15*t**2 + 149 - 5*t.\nAnswer: 15*t**2 + 2*t + 211","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**2 + 199*d - 11405. Determine z(35).\nAnswer: 1685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 4*p = 5*r - 18, 33 = -4*r + 5*p for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000035607 to six decimal places.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 85560, 342377, 770464, 1369821, 2140448, 3082345, 4195512?\n\"Answer: 85635*r**2 - 88*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0\/g*g)**(-4\/5)*(g\/(g**1\/g)*g)**(-34) assuming g is positive.\nAnswer: g**(-68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -12529*-0.199\nAnswer: 2493.271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 12:26 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 7:59 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1234703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15960 divided by -24.\nAnswer: -665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1313172 and 30954.\nAnswer: 967807764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*u - 39 + 135 = -337*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h - 1. Let a be u(-1). Let w be (-1 - 1) + (9 - 5). Suppose 4*p + p - 24 = -w*b, -3*p - 4*b = -20. What is the greatest common divisor of p and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 9:31 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000481821 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19076*p + 9539*p + 9557*p - 520 = 0 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 10, -2, 6, -9, -5 in decreasing order.\nAnswer: 10, 6, -2, -5, -9, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17177960269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - (1 + -3)*-1. Solve 4 = g*b - b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 3:11 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 15*f**2)*(-13 - 21*f - 9 + 22).\nAnswer: -315*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-4) + (-1334)\/184. Let s(q) = q**2 + 7*q + 6. What is s(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0794 + -0.1794. Put u, 5, -4\/7, -1 in ascending order.\nAnswer: -1, -4\/7, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24307.\nAnswer: 109, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19\/18 + -65\/36. Find the common denominator of 27\/128 and s.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - 3*q**2 + 2*q - 2. Let b be t(2). What is the units digit of ((-18)\/4)\/((-3)\/b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 174*x + 984. Give i(-6).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -2029275724?\nAnswer: 2029275725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {o: 5, k: 8, y: 3}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**0)**(-31)*h*h**(-2\/7)*h**(-2\/23)\/h assuming h is positive.\nAnswer: h**(-5051\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 48 + 32. Suppose 0 = -o + 5*o + l. Sort 1, o, 4 in decreasing order.\nAnswer: 4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p + 258 = 69 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 0 - (-541 + -4). Suppose 2*g + g - 407 = -r, 4*g - r = z. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 8629360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.612 to 1 dp.\nAnswer: 12.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3757\/3 - -1252. Which is the nearest to -0.02? (a) -0.5 (b) 2\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 300 + -300.8454. Round j to two dps.\nAnswer: -0.85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, l: 1, e: 4, a: 5, r: 4}. Give prob of picking 2 d and 1 r.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, r: 6}. What is prob of sequence hrr?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*s = 383*s + 756 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, e: 5}. What is prob of sequence eae?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-31 - -22 - -18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 230 = -h. What is the remainder when h is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15691146 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 1290*c**4\/7 - 9486471*c**3\/7 + 27061179*c**2\/7 - 15789840*c\/7 - 793908\/7 = 0. What is c?\nAnswer: -2\/43, 9\/10, 2, 7351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 465 + 63. Calculate the highest common divisor of x and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2*2168\/(-3). Let p = f + 1577. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffafaf. Give prob of sequence aaff.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 8*h**2 + h + 1. Let d be a(-8). Let t = d + 11. Suppose -6*o + 270 = t*o. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 4*w - 61, 5*c + 5*w - 62813 = -62868 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/15)\/(g\/((g\/(g\/g**(-2\/11)*g))\/g))*(g**0\/g)**(-28))**(-46) assuming g is positive.\nAnswer: g**(-188876\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 212 and 6148.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-66 - -16) + -19 + -8 + 44?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 49*h**3 + h**2 + h. Determine k(-1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -68, 0.1, -1\/3, 0.3, -1.1 in decreasing order.\nAnswer: 5, 0.3, 0.1, -1\/3, -1.1, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16024*s - 15900*s = -32327*s + 4836 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddxmdlumxmz. What is prob of sequence ulx?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 2. Let h(k) = k**2 + 7*k + 0 + 1 + 6. Let s be h(-5). What is the units digit of c(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 v when three letters picked without replacement from {r: 13, v: 6}.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*b - 167 = 0, -6*u + 2*u = 3*b - 128. Calculate the least common multiple of 5 and u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**2 - 2*k + 3. Let o(j) = 2*j + 6. Suppose -9 = 2*w - 1. Let u be o(w). Calculate a(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (440\/(-77))\/((-4)\/14). Suppose l + 25 = 3*f. Calculate the remainder when f is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -337.4 and 0.08?\nAnswer: -26.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(-1 + (-4)\/(-6)). Suppose -2*x + 4*g - 6 = n, 7*g = 5*x + 2*g. Suppose -5*z + 178 = -3*k, 2 + 48 = z + x*k. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53999 + -37769. Is 30 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 142531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 27?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1 = t - 14, 5*w + t - 27 = 0. Suppose -w*j + 690 = -0*j. Let z be (-4)\/1*(-23)\/4. Calculate the highest common divisor of j and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -183, -376, -573, -774?\n\"Answer: -2*s**2 - 187*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 14 = -7*q. Let z(b) = 4*b**3 - 3*b**2 + b - 2. What is the least common multiple of (-16)\/(-3)*(-9)\/(-4) and z(q)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = -1128*q + 1124*q - 12, 0 = 4*q + f + 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/140)\/(4\/(-30))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -9*g**5\/4 + 17*g**4\/2 + 269*g**3\/4 + 137*g**2\/2 + 12*g = 0.\nAnswer: -3, -1, -2\/9, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4801 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**10\/m)\/m*m)\/((m**(2\/23)\/m)\/m))**22*((m*m**(-1\/4))\/m**(-13))**(3\/10) assuming m is positive.\nAnswer: m**(44935\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 1 + q**2 - 3*q**2 + 3*q + 3*q. Suppose x - 5*x - 16 = 0. Let m(i) = 81 - 165 + 85 + 5*i - i**2. What is x*m(o) + 3*d(o)?\nAnswer: -2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64700 + -735188.\nAnswer: -799888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -655*c + 3. Let z(k) = 721812*k - 3305. Give 3305*u(f) + 3*z(f).\nAnswer: 661*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 63*g + 485. Calculate n(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/(-6))\/((-2)\/(-4)). Suppose -5*c + 6 = -m*c. What is the derivative of c*j**3 - 5*j**3 + 3 - 1 wrt j?\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 + (-473)\/(-55). Let n(r) = 0*r + r + r - v*r. Let q(y) = 4*y**2. Give q(n(g)).\nAnswer: 196*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*p + 3*p. Let z(f) = -3*f**3 + f**2 + f. Let o be z(p). Let v be 14\/4 + 8\/(-16). Solve -4*s + o*h + 9 = -10, s + h - v = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-1)\/2)*-2. Suppose j*v = 4*g + 3*v - 12, 2*v + 12 = 4*g. Suppose 4*m + 2*t = 16, -2*m = m - g*t - 30. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -4. Let p(k) = -4*k + 4. Let h be p(3). What is the lowest common multiple of h*(-2 - 3\/4) and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-2*(sqrt(336)*5 + sqrt(63)\/(sqrt(12)\/sqrt(4))))\/((sqrt(192) + 2*sqrt(192)*-6 + -2*sqrt(192)*1 + sqrt(192))*5).\nAnswer: 7*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 346, 558, 642, 598, 426, 126, -302?\nAnswer: -858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 24 - 21. Let l be (-6)\/(5 + (b - 0)). Is -587*(4 + -1)\/l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-5\/4)*z\/(z*z*(z\/(z\/z**(7\/4)))\/z) assuming z is positive.\nAnswer: sqrt(z)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-33)\/(-4) + (-33)\/4 + 9. Let n(i) = -i**3 + 8*i**2 + 10*i + 5. Calculate n(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 874870, 1749251, 2623608, 3497935, 4372226, 5246475?\nAnswer: 6120676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 11:31 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.3 + 7.11. Let o = f + 0.189884. What is o rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 - 5 = 0. Let i = 9 + y. Let o be (-3)\/(-2) - 9\/i. Sort o, 3\/4, 0.03 in increasing order.\nAnswer: o, 0.03, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -339.\nAnswer: -5\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1\/102 (c) -0.45 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -29, 1, 49, 121?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101000011000 (base 2) in base 6?\nAnswer: -325424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -126 + 2529*m + 40 + 34 + 50 as b*m + i and give b.\nAnswer: 2529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-11)\/(-3) - (-4)\/12. Suppose 5*x - 6 = j*x. Solve 9 = -5*y - 2*v + x*v, 2*y - 10 = 5*v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 + 2*t**2 - 5*t**2 + (-t + 3*t - 4*t + (-t - t + t)*(-2 + 3 + 1))*(-9 - 3*t + 9) to the form g*t**2 + u*t + d and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 65)*32\/(-192).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 1. Let t be h(2). Suppose 2*c + t*j = 3*j, -2*j = 3*c - 5. Let y(n) = 41*n - 85*n - 12 + 45*n. Give y(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 442.0000092 - 442. Round l to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20147137 + 44047137. Round m to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 4. Let u = -22 - -17. Let i(w) = -w**2 - 10*w - 17. What is the smallest common multiple of t and i(u)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 13\/((12\/(-9))\/(-4)). Let g = 167 - 151. Let x(b) = -j + b**2 + g + 22. Determine x(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311 + 7*c - 273*c - 304.\nAnswer: -266*c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15754060 is divided by 336?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3804.625ml to litres.\nAnswer: 3.804625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 17. Are -6\/5 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2054 is divided by 121?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**3 + 0*r**3 + r**3 + 0*r**3 + 4*r**3 - 3*r**3 + (r - 3 + 3)*(7*r**2 - 7*r**2 - 9*r**2) + 2*r**3 - 2*r**3 + r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 204 - c**2 - c**2 - 121 to the form v + f*c + k*c**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 4:21 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.0001, -4, -3\/5, 2, -0.1, -1\/188?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(156)\/sqrt(3))\/(sqrt(256)*2 - sqrt(4)))**2.\nAnswer: 13\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*14*(-231)\/30723?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2816)*1 + sqrt(2816))\/((sqrt(36)*-1)\/sqrt(9)).\nAnswer: -16*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 11:20 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38.2 * -0.0539.\nAnswer: 2.05898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 1337*m**4\/24 - 467*m**3\/2 + 838*m**2. Differentiate q(d) with respect to d.\nAnswer: 1337","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36\/1991 or 1?\nAnswer: -36\/1991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121732?\nAnswer: 2, 13, 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 2, -4, -16108, 3 in descending order.\nAnswer: 3, 2, -4, -6, -16108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-6) + (-21)\/(-2). Let o = m + -5. Solve 7*x - o*x = 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - 985466*r - 985459*r + 1970925*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -4*q - 17, -45*q = -40*q + 15 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-18)*(-360)\/12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**2\/2 + k - 49. Let m(l) = -4*l + 3. Let i be m(2). What is p(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -11. Let h(g) = 257*g - 37. Is h(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12767323 - -41?\nAnswer: -12767262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 0, 9*r + m = 8*r. Suppose 4*x - 3257 - 1091 = r. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13682 (base 16) in base 3?\nAnswer: -11001001002","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 516, 929, 1380, 1875, 2420?\nAnswer: 3021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1693812 divided by -7429.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4898833 is divided by 1489.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 2*r - 3. Let j be z(4). Let k(s) be the first derivative of 58*s**4 - 5*s**3\/3 + 5*s**2\/2 - 762. Let a be k(j). Round a to the nearest 1000.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 11:09 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*i + 16*i - 167*i**2 + 104*i.\nAnswer: -167*i**2 + 158*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46532245 - -151?\nAnswer: 46532426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - r**2 - 12. Let u = -3 + 2. Let v be -4*u\/4 + -1. Determine o(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1322, 2637, 3944, 5243, 6534, 7817, 9092?\n\"Answer: -4*y**2 + 1327*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -285, 1244, 5385, 13440, 26711, 46500, 74109, 110840?\n\"Answer: 217*j**3 + 4*j**2 - 2*j - 504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 1.58, 1, -0.4?\nAnswer: 1.58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4894, -17 in decreasing order.\nAnswer: 4894, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**17\/s*s)\/s**23 assuming s is positive.\nAnswer: s**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-219)\/(-4) - (-1)\/4. Let i(g) = -7*g + 4. Let l be i(-1). Suppose -5*z - l = -6*z. What is the greatest common factor of k and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j - 184. Let d be v(-31). Put d, 22, 0 in descending order.\nAnswer: 22, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121843395.\nAnswer: 3, 5, 239, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 134865126 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 118, 0, 6, 13 in descending order.\nAnswer: 118, 13, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 72, 138, 230, 348, 492?\nAnswer: 662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(24)*-1*3)\/(sqrt(8) - -6*((sqrt(128) - sqrt(8)) + sqrt(8))))**2.\nAnswer: -12*sqrt(3)\/25 + 2527\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 59 - (11 + -26 - 5 - -34).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.1, -3, 489, -31\/25, -2 in decreasing order.\nAnswer: 489, 0.1, -1, -31\/25, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = j - 0 - 8, -22 = -5*j - k. Suppose 2*v + 9*w - 1 = 4*w, 0 = j*v - w - 13. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -34\/19, 3, -0.27, -6?\nAnswer: -34\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26)\/(-6) - 3\/9. Suppose a*b - 129 = -g, -2*g - b + 0*b + 230 = 0. Is g a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 6*r + 8. Let s(l) be the second derivative of 1\/90*l**6 + 1\/36*l**r - 1\/6*l**3 - l + 1\/20*l**5 - 1\/3*l**2 + 0. What is w in s(w) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103664.4 * 133.\nAnswer: -13787365.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -172*r*v**3 + 9*r*v**2 + 2*r + v**4 - 1 wrt v.\nAnswer: -1032*r + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -44 or -2284\/51?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**8\/30240 + o**7\/2835 + o**6\/3240 - o**5\/135 + 7*o**4\/12 + 18*o. Let x(f) be the third derivative of t(f). Factor x(m).\nAnswer: -2*(m - 4)*(m - 1)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ao when two letters picked without replacement from {o: 1, a: 3, r: 5, h: 1, n: 1, i: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.2359415 rounded to 2 dps?\nAnswer: 3.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 152 = -2*k, 0 = -13*g + 18*g + k - 380. Suppose -53*j - g = -72*j. Solve -2 = j*o - 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7*r**2 + 43*r - 17. Let u(q) = -3*q**2 - 17*q + 9. What is 2*m(z) + 5*u(z)?\nAnswer: -z**2 + z + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 10*z + 2. Let o(g) = 10*g + 3. Let d(k) = -3*h(k) + 2*o(k). Let r(b) = -2*b. Determine d(r(p)).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18960 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226 - 38 = 18*b + 6 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9, 7, 5, 11, -4 in ascending order.\nAnswer: -9, -4, -2, 5, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-21) - 54\/14. Sort -41, k, 5 in descending order.\nAnswer: 5, k, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h + 92*h = -46*h - 299 + 2161 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 73901774521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 22*s - 303. Give t(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**2 - 3*v + 1. Let q(g) be the third derivative of -7*g**5\/60 - 5*g**4\/24 + g**3\/3 + g**2. Calculate -5*n(t) + 3*q(t).\nAnswer: -t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*d + 42. Let k(w) = 21*w - 8. Let y be k(3). Let t = y + d. List the prime factors of t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 4*k**2 + k + 3. Let q be y(-2). Suppose 0 = -q*a + 12 + 24. Does 21 divide ((-2)\/(-7) + (-2598)\/(-168))*a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -92 - -129. Suppose -6*m = -53 - t. Calculate the greatest common divisor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.51526303 to four decimal places.\nAnswer: -4.5153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -422713600*i**2 + 1356960*i - 1089.\nAnswer: -(20560*i - 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10081732.\nAnswer: 2, 2520433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 881357 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: Differentiate -5386331*f**4 + 5509943.\nAnswer: -21545324*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oeeeeeeeoooeoeeeeoe. What is prob of sequence oeoo?\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -58 and -11.7.\nAnswer: 678.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(6)\/sqrt(2) - (5 + sqrt(3) + 0)) + -3 - (-3*sqrt(432) + (2 + sqrt(3) - sqrt(3))*-3))**2 + 2.\nAnswer: -144*sqrt(3) + 3894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 - -75. What is the third derivative of -y*t**4 - 2*t**3 + 17*t + 7*t**2 + 3*t**4 - 9*t**2 wrt t?\nAnswer: -288*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/4556 and -63\/243134?\nAnswer: 32579956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c**3 + 1. Let z(t) = 23*t + 10. Let n be z(1). Suppose d = -n + 32. Give k(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-189)\/(-135)*1040\/56?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b1 (base 12) to base 13.\nAnswer: 5b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-1))\/(-12))\/(2\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 - 5 - 4*u**3 + 4*u**4 + 2*u**3 in the form m*u**3 + c*u + t*u**2 + w + p*u**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -0.277, 6316, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -5. Let t = n + 3. Put 1\/10, t, -2\/5 in decreasing order.\nAnswer: t, 1\/10, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1377) + 2 + 4 - (4*((sqrt(1377) + -2 - sqrt(1377)) + sqrt(1377) + sqrt(1377)))**2).\nAnswer: -176372 + 2322*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**4\/12 - 5*k**3\/2 - 6*k**2 + 7*k. Let t be h(-14). What are the prime factors of 117\/t + 72\/48?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*o + 2*u + 67 = 406*o - 802*o, 5*u = -4*o - 161 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 2971*b + 296 = 2963*b, -224 = 5*q + b for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 8 = 3*l. Suppose 0*y = -l*y + 8. What is the remainder when y is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xat when three letters picked without replacement from axtx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 22*w - 8. Let q(a) = -43*a + 15. What is 6*q(i) + 11*t(i)?\nAnswer: -16*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (87 - 13 - -16).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 129\/42770 and 181\/7980.\nAnswer: 4875780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhtuhhhhnhtthhnuhur. What is prob of sequence thnn?\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 2*g + 1 - 4 + 4.\nAnswer: -4*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 16*k + 106. Give m(-9).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b. Let v(s) = s**2 - 129396. What is n(v(o))?\nAnswer: -4*o**2 + 517584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 13*q - 5. Calculate the remainder when n(6) is divided by ((-420)\/(-50))\/7 - (-296)\/20 - 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27\/((-378)\/28)*(-55)\/10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4927 - 4927.5577. Round k to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 208 - 204. Let j be (2\/z + 52\/(-24))*-15. Solve 49*y - 54*y = j for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvwwwwfwvzvw. Give prob of sequence vw.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81013*g**6*i*l**3 - g**2*i*l**3 + 313*g**2*l**3 - 71*i*l**3 wrt g?\nAnswer: 9721560*g**3*i*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*f - 158*f - 179*f - 7152 = -490*f for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b + 18*b - 3*b + 45*b.\nAnswer: 65*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3848?\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 192538926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 175 + 3393*i + 126 - 3392*i. Suppose -z - 3*k = 12, 2*k + 8 = 4*z - 0*k. Is a(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14843\/8 + -1863. Let l = -75473\/2143952 - -27\/752. Let s = l + -105507\/28510. What is the common denominator of f and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 z when four letters picked without replacement from ooozzozoooz?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Which is the nearest to o? (a) -2\/9 (b) -1 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90402323, 90402322, 90402321?\nAnswer: 90402320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 50852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -190, -362, -534, -706, -878?\n\"Answer: -172*v - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 7 - 13 = -5*v, 3*h - v = -4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -417726 divided by -887\nAnswer: 417726\/887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16048 + 16698. What is the greatest common divisor of 4940 and t?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 20*l + 31*l - 108. Calculate the greatest common divisor of l and 61.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*c - 8, 0*c + 3*c - 9 = -3*f. Let g be ((-12)\/16)\/(c\/(-16)). What is the greatest common divisor of g and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)\/(d*d**(-2))*((d**0*d)\/d)**(3\/13))**(-40) assuming d is positive.\nAnswer: d**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6027 is divided by 471?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 37*m + 5. Let q be s(3). Let c be (-2 + (-48)\/(-15))*(q - -4). Suppose -2*z + c = -80. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52834.4 rounded to the nearest one hundred?\nAnswer: 52800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q + 4. Let v(p) = -3*p - 7. Let k(m) = 4*v(m) + 7*w(m). Let z(a) = 13*a. Let n(c) = -7*c. Let h(u) = -5*n(u) - 3*z(u). Determine k(h(o)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 0*d**4 + 0*d**5 + 0*d**2 + 6\/7*d**7 + 4\/3*d**3 - 3 + 0*d**6 + 0*d. What is the third derivative of g(b) wrt b?\nAnswer: 720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76962 divided by -6.\nAnswer: 12827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -54c694?\nAnswer: 54c696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104671883.\nAnswer: 1319, 79357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.27 rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(3\/(-2)))\/(6\/(-2))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/678538 and 32\/85.\nAnswer: 3392690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1654 and 13471830.\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -4, -3, -141, 390 in descending order.\nAnswer: 390, 51, -3, -4, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 42680048 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 120, 116, 114, 114?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 36. Let t(l) be the second derivative of 0*l**3 - h*l - 1\/6*l**4 + 1\/84*l**7 + 1\/60*l**6 + 0*l**2 - 1\/10*l**5 + 0. Factor t(d).\nAnswer: d**2*(d - 2)*(d + 1)*(d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 4 (c) 0.28425 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1124620 by 5.\nAnswer: -224924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r**2. Let q(t) = -2*t**2. Determine g(q(m)).\nAnswer: 28*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 96\/36*36\/(-816)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7 (b) 7930 (c) -24 (d) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 18*g**2. Let a(x) = -64*x + 26. Calculate n(a(p)).\nAnswer: 73728*p**2 - 59904*p + 12168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.69 - -0.21. Let l = 4.1 + n. Put 3\/7, 3\/5, l in decreasing order.\nAnswer: l, 3\/5, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:38 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 4) + -6 + -2 + (98 - 29).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - g + 2*g)*(1 + 0 - 13)*(14 - 34 - 30).\nAnswer: 1800*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -150 divided by -150\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 926 + -1549. Let z = 665.7 + n. Let t = 49 - z. Round t to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**6\/30 - 2*n**3\/3 - 12*n. What is the second derivative of h(t) wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 - -1.9. What is the third smallest value in 3, 0, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -95, -141, -137, -83, 21, 175?\n\"Answer: 25*z**2 - 121*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 552205 + -211?\nAnswer: 551554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-406)\/(-35) - (-4 + 13)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.21 (b) -1.87 (c) -17 (d) -10 (e) 1 (f) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*u**3 + 2*u - u**2 - 5*u - 2 + 23*u**3 as d + x*u + s*u**2 + p*u**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101306*h + 738 = -101347*h for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-9) - (-182)\/6. Suppose -2*q - s = -5*p, -3*p + 5*q = -0 - 11. Solve -p*i + 2*i + 5 = 5*d, 2*d = 3*i - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlhx when four letters picked without replacement from {h: 3, x: 2, a: 2, c: 1, l: 9, b: 1}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -84950, -84949, -84948, -84947?\n\"Answer: l - 84951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l + 33 = 0. Let r(y) = 3*y**2 - 2*y - 1. Calculate the smallest common multiple of r(2) and l.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 16 = y. Suppose 251 = y*b - 341. Is 33 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1054457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121*v**2 - 12*v**3 - 13*v**3 - 34*v**2 + 27*v**3.\nAnswer: 2*v**3 + 87*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 h when three letters picked without replacement from {t: 4, s: 4, p: 2, o: 3, h: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5345096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -323 + 323. Put b, 1.7, 0.4, 5, -2\/5 in decreasing order.\nAnswer: 5, 1.7, 0.4, b, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -49. Let r(h) = -29*h + 9. Let l(a) = 7*a - 2. Determine s*r(p) + 9*l(p).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 2, x: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, w: 4, s: 6}. Give prob of sequence vw.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 - 36430*3\/27. Suppose 3*v - 17046 = -4917. Let j = w + v. What is the common denominator of j and -47\/11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 7:54 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12880794 to the power of 1\/3, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 360801, 360798, 360795, 360792, 360789, 360786?\nAnswer: 360783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -17\/1336?\nAnswer: -17\/1336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 4*w + 3*w)*(-6*w - 10*w + 3*w)*(0*w - 3*w + 2*w).\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -490 + -8877. What is p rounded to the nearest one hundred?\nAnswer: -9400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1528264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 95 and 45?\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 13*w + 15. Let p be n(-12). Suppose 4*i + 0*i - 8 = 0. Let s = i + p. What is the remainder when 14 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1258646798.\nAnswer: 2, 193, 1523, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0827 - 0.1207. Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*s + 2*z, 3*s + z + 0 = -3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312 and 51228?\nAnswer: 1331928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 105 and 222.\nAnswer: 7770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2. Suppose -6*j + 2 = -4*j. Let f(m) be the first derivative of j + 1\/2*m**2 + 0*m. Give r(f(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 1053 + 1229 = 3*v for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 662471 - 394401. What is h rounded to the nearest 10000?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -607 - 2063 = -3*m. What is the tens digit of (-2)\/6 + m\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 63*g + 1276. What is p(-20)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 104? (a) 1\/7 (b) 2\/21 (c) 1 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 - 101*m + 588*m - 289*m - 100*m - 98*m.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.25 - 1.05. What is the third biggest value in 0.2, u, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s + 6. Let l(p) = -p**2 + 22*p + 12. Let i(t) = -4*k(t) + 2*l(t). Determine y, given that i(y) = 0.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3)\/((-1)\/9). Let r(y) = 207*y**2 - 1005*y - 140. Let b be r(5). Factor 6 + 2\/3*a**n + 14\/3*a**2 + b*a.\nAnswer: 2*(a + 1)*(a + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*2\/(-8)*2. Let c be -1 + 1\/(r\/66). What is the highest common divisor of 7 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -12*z + 22 - 25 + 3*z**2 + 15 = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12 + -0.144. Let c = f + 0.0198. Let q = 24.2958 - c. Round q to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 12:58 PM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(384) - (sqrt(384) + sqrt(384)*-1 + sqrt(384))*-6 - sqrt(384)) + sqrt(384))\/(sqrt(18)\/(-1*sqrt(54))).\nAnswer: -168*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - h + 2*h - 14 = 0, -20 = -4*t - 36075*h + 36074*h for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 62\/21, -10, 1, 24, 0.2 in ascending order.\nAnswer: -10, -3, 0.2, 1, 62\/21, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of r**5\/60 + 3*r**4\/8 - 5*r**2. Find the second derivative of g(n) wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/48 + 12\/(-90). Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*p + 101*p - 948600 = 15*p. What are the prime factors of p?\nAnswer: 2, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1164, -1165, -1166, -1167, -1168?\n\"Answer: -q - 1163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-460)\/184*474\/(-15). What is the greatest common divisor of 7 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7519?\nAnswer: 73, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - (-6 + 6)\/(-7)) + -1. Let u(y) = -5*y**2 - 7 + 0*y**2 + y + 4*y - y**3. Calculate u(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 31*t**2 + 11*t - 7. Suppose -5*u = 3*p + 50, 2*u + 4*p + 9 = -25. Let a(z) = -15*z**2 + 6*z - 3. Let r(s) = u*a(s) + 3*d(s). Factor r(m).\nAnswer: -3*m*(m - 3)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 17*s**2 + 63*s - 12. What is f(-7)?\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -401, -1008, -2009, -3404?\nAnswer: -5193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16631237201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/84672 and -169\/41160?\nAnswer: 2963520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -41792, -41015, -40238, -39461, -38684?\n\"Answer: 777*w - 42569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5538 - -5527.383. Let z = n - -0.617. Which is the second biggest value? (a) z (b) -1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 14. Suppose -5*y = -p*j + 1040, 0 = -4*j - j + 2*y + 1025. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(6\/16 - (-665)\/(-280)). Solve 2*b = h - 2 + 1, 3*h - b + 12 = k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9107.\nAnswer: 7, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/36 (b) -321 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 59*o**2 + 5*o**2 + 52*o**2 + (4*o + 3*o - 3*o)*(-5*o + o + 2*o).\nAnswer: 108*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/299*(-12)\/32*-4?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119*l**3*m**2*o - l**3*m*n + 3*l**2*m**2*n*o + l**2*m**2*n - 2*l**2 - m**2*n - 2*m**2*o wrt l.\nAnswer: 714*m**2*o - 6*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 55?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1638\/156*15\/45*-16.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -732 or -2235?\nAnswer: -2235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 + -65. Let w(q) = -q**3 + 12*q**2 + 7*q - 11. Is 41 a factor of w(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112*-254.\nAnswer: -28448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 40720.53ug?\nAnswer: 0.00004072053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 11:05 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 10*v**3 + v + 1. Suppose -w + 18 = -3*q + 4*w, -2*q = 4*w - 10. Let j be g(q). Let i = 22 - j. Is 12 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6955885.\nAnswer: 5, 157, 8861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(5\/(15\/(-12))). Suppose z - 5*m + 10 = 2*z, u = 2*z + 5*m - 15. Suppose 28 - 3 = z*w. What is the least common multiple of w and 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 18 - 15. Let w = q - -48. Solve -8 - w = -4*b - 3*z, 2*b - z + 1 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/385764 and 101\/4392.\nAnswer: 2314584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*w - 2 = 0, 4*m - 2*w - 11 = -23 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 6. Suppose 3*s - 3*t = -30, -s = 4*t - t + 22. Let a = s - -27\/2. What is the closest to 1\/2 in a, w, -1\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 2 h, and 1 d when four letters picked without replacement from jhuhjddq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -86. Let g be (9\/(-6))\/(s\/4). Which is smaller: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5050*j + 5051*j - l + 1, 2*j = 4*l - 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q + 3. Let h(v) = -2. Let z(r) = -2*h(r) + 2*j(r). Suppose 20*o - 41 = 4*t + 15*o, 10*o = -2*t + 42. Let u(s) = 4*s - 19. Give t*u(w) - 7*z(w).\nAnswer: -2*w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 208.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 471234873 and 1038.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h - 105 = -3*w + 9, -2*h + 20 = 4*w. Factor 3\/2*v + 1\/4*v**w + 0.\nAnswer: v*(v + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n**3 - 57*n**2 - 12*n + 30. Give x(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 13*u**3 - 5*u**2 + 5*u - 6. Let t(a) = 20*a**3 - 8*a**2 + 8*a - 9. What is -8*k(j) + 5*t(j)?\nAnswer: -4*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.68423l in millilitres?\nAnswer: 52684.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-60)*(-150234)\/343\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 700\/3 - 230. Factor -2\/3*x**3 + 8\/3*x**2 - o*x + 4\/3.\nAnswer: -2*(x - 2)*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1103 (base 9) to base 13\nAnswer: -4a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 5 = s, -w = -5*s + 2*w - 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -125802677*p**4 - 19926*p**2 - 5620 wrt p.\nAnswer: -3019264248*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 11, 10, -7, -46, -113, -214, -355?\nAnswer: -542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21536807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.1 - -8. Let j be ((3\/14)\/(-3))\/((-2)\/8). Let w = -71.5 + 71. What is the closest to y in j, w, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + 255.997?\nAnswer: 256.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19709.\nAnswer: 19709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 2*u = 18, 76*q - 3*u = 78*q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47\/2 + -24. Let a be (4\/15)\/((-12)\/(-126)). Let b = 52\/15 - a. What is the second smallest value in o, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(-2 + 1) - -3. Solve -2*l + 0*t = 3*t - 22, -3*t = -2*l - n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 4*r + 0*r)*(-2*r + 2 + 5 + 0*r).\nAnswer: -4*r**2 + 14*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*g**3*h**3*y + g**3*h**2 - 61305*g**3*y - 2*g**2*h**3 + 11*g**2*h**2*y + 2*g*h - 5*g*y + 16*h**3 - 4*h*y wrt g?\nAnswer: 30*h**3*y + 6*h**2 - 367830*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 11 = -4*n, -3*n = 4*h + 1 + 9. Sort h, -12, -2 in decreasing order.\nAnswer: h, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7121184 months to decades.\nAnswer: 0.00593432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 938113187 to the power of 1\/2, to the nearest integer?\nAnswer: 30629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38.6 + -29. Let m = -11 + t. Let k = m - -1.6. Is k bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2544, 3090, 3610, 4092, 4524, 4894, 5190, 5400?\nAnswer: 5512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p**2 + 0*p)*(-1 + 1 - p) - 2 + p**3 + 2 + 10*p**3 - 12*p**2 + 12*p**2 - 2.\nAnswer: 9*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5044*b**2 - 5250*b**2 - 181157 + 181157.\nAnswer: -206*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1600567 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1483453 is divided by 3636.\nAnswer: 3601","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 14884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 23093?\nAnswer: -4\/23093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + 0.3. Let s = -0.27 - -167.67. Let y = s + -167. What is the second smallest value in -2\/9, 0.5, l, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00110161047 to six dps.\nAnswer: 0.001102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27532*v + 768 = -27556*v for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 102793532 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3119.99007 take away -0.03?\nAnswer: -3119.96007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (-5 - -20 - 11 - (5 - 7))) + 103?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 14\/9 (b) -1 (c) 4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 2. Let v be r\/14 + 22\/28. Let q = 1 - 1.3. What is the closest to -2\/5 in q, 1, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.032 + -0.038. Let p = i - -0.17. Is p less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.13, 0.4, -6, 4 in descending order.\nAnswer: 4, 1.13, 0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.2 and -1026 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/3 (b) -39 (c) 2\/9 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 3 = -5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 3 - 3)*(3*r**3 + r**4 - 3*r**3 + (2*r**2 - 2*r**2 - 2*r**4)*(-2 - 2 + 2) - 2 + r**4 + 2).\nAnswer: 18*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 303 - 306. Let a be (-8)\/(8\/b) - (-2 - -2). Solve 0 = 4*c + 2 + 10, -a*c = 3*n + 21 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -573*d + 131657 = 134522 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) -76 (c) 26 (d) -2130.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 20. Let l = 9 + -4. Which is the fourth biggest value? (a) u (b) -0.01 (c) l (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 16. Let a be n(-21). Let r = a + -1. What is the lowest common multiple of r and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 4*x**2 - 37*x - 77*x - 78595*x**4 + 0 + 78597*x**4 + 3 as v*x**4 + q*x + n*x**3 + a + w*x**2 and give q.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q + 18. Let g be t(8). Let h(j) be the first derivative of -j**4\/4 - j**2 + 2*j - 1. What is h(g)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 666*a + 144. Let u(q) = -9*q - 877. Let z be u(-98). Let c(b) = -23*b - 5. Determine z*m(n) + 144*c(n).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmjrjbv. What is prob of picking 1 j and 1 r?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/15*(3 - -45). Suppose q + p = 2*j - q, -4*j = -5*q - 36. Suppose 2*a + 3*k - 269 = 0, 6*k - 547 = -j*a + 3*k. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 3:03 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005613393 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207*i + 98 = -206*i. Calculate the lowest common multiple of i and 112.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 3*k**2 + 17*k + 42. Determine x(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -362*o**2\/5 - 11384*o\/5 - 5022\/5.\nAnswer: -2*(o + 31)*(181*o + 81)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 122794 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - u. Let h(d) = d**3 - 6*d**2 + 6*d - 5. Suppose -5*o - 5 = 5*v - 3*o, -4 = 4*v - 5*o. Give v*h(j) - 6*m(j).\nAnswer: -j**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 + 47*k + 931. Give y(0).\nAnswer: 931","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*f + 16 = 27*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/42480 and -89\/22.\nAnswer: 467280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 7920*r + 35. Let z(u) = 26*u - 1. Determine z(m(t)).\nAnswer: 205920*t + 909","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1352*b + 13 - 13 + 434*b - 712*b in the form m + w*b and give w.\nAnswer: -1630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58726993?\nAnswer: 13, 17, 20441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 316, 694, 1224, 1906?\nAnswer: 2740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 100*h**2 - 201*h**2 + 107*h**2 to the form x + b*h + t*h**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 442412131 (base 5) in base 12?\nAnswer: 786b02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1871?\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -2. Suppose 4*k = -t*b - 24020, -b + 920 = k + 6924. What is k rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11ba (base 16) to base 8.\nAnswer: -10672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 45837.\nAnswer: 20\/45837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20612 and 9.\nAnswer: 185508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124806999 is divided by 251627.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -276, -553, -830, -1107, -1384?\n\"Answer: -277*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-1 - (0 - 0)). Suppose 57*t = 66*t - 36. Let b(c) = 12 - 2 + t*c - 9 + 6*c. Calculate b(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12449 or -3052?\nAnswer: -12449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 528.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 + 20. Let x = 4562 + -4553. What is the remainder when u is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2347 = -3*c - 74. Let h be (-2 - c) + 0 - (9 - 10). Let t = -523 + h. List the prime factors of t.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 2*w. Let l be w + 6\/(-3) + 4. Find the third derivative of -10 + l*u**4 + 2*u**2 + 10 wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 15*n**2 - 2*n. Let w(t) = -t**3 + t**2 + t. Let z(o) = -v(o) - 2*w(o). What is the third derivative of z(i) wrt i?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 3*v - 15*v - 2*v**2)*(-46*v + 46*v - 45*v**2).\nAnswer: 90*v**4 + 405*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1328.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -469*f - 6103. What is c(-13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/7, 8586, 2, -11 in increasing order.\nAnswer: -11, -1\/7, 0, 2, 8586","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 513*a - 936. Is b(12) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118620 divided by 2636\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1285626?\nAnswer: 2, 3, 353, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10 + (-209)\/22)\/(1\/136). Solve 0 = 3*x - 74 + i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(14\/(-6) + 3). Let f = g - 25. Let v(s) = -s**3 - 12*s**2 + 13*s + 2. Let q be v(f). Solve -6 = -q*d - d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46881620039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 9609.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**2 + f - 1. Let h(l) = 11*l**2 - 6*l. Let k(g) = h(g) + 3*o(g). Determine k(4).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 34 + 3578?\nAnswer: 35ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -4.27.\nAnswer: 0.3843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 - -36. Let z be (-12)\/9*(7\/(-2) - r). Find the third derivative of 28 - 16 - 23*l**z - 12 + 14*l**5 wrt l.\nAnswer: 840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 283982143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4188*z**2 + 3*z - 3. Let v be u(8). Suppose -10*l + 32421 + 1748109 = 0. Let q = l - v. Round q to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + -3 + 0 - 4. Let b = -2 - m. Calculate the greatest common divisor of 2 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (1 - (5 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.12 (b) -738 (c) 2 (d) -4 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + 739929525709.\nAnswer: 739929525709.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 10) + (-2 - -8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 6. Let w(n) = -n**2 - 6*n + 1. Let j be w(-7). Let b be z(j). Suppose b = -5*t + 95 - 30. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 - (0 + 0 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 9:22 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1188, -19, -4, -62 in decreasing order.\nAnswer: -4, -19, -62, -1188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 23.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7501 to two dps.\nAnswer: -1.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1159 + -2.8841. What is the second smallest value in 48, -5, -1, 1\/4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3532 + -5?\nAnswer: 3526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1219\/10 >= 16\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 61.9.\nAnswer: 61.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -21. Suppose -q + 17 = 4*m. Which is bigger: 3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/17 in 0.1, 0.5, 1\/20?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 - 18*a**2 + 23*a + 26. Let g be m(-10). Sort 2, 0, g, 4.\nAnswer: g, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3919779 and 189.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -254 + 359 - (25 + (0 - -3) + -12).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -3. Let q be -2 - (3 + (-11 - x)). Suppose -1 - q = -p. Solve 0*h + 2*h - p*k + 6 = 0, -h - 3 = -5*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - 106274?\nAnswer: -106278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x - 3. Let m(r) = -10*r + 4. Let f(i) = -4*h(i) - 3*m(i). Let u(y) = y + 0*y + 4*y. What is f(u(w))?\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -4*p + 17, -p + 17 - 15 = -o. Suppose 5*q - 4*d - 2406 = -d, o*d + 1446 = 3*q. What is the highest common divisor of 30 and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tddq when four letters picked without replacement from tnnddfnttfttftfqt?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041125122.\nAnswer: 2, 401, 1298161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -101 + 213 + -109 + (-139 - -1).\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x + 20 = 0. Suppose -3*r - 2*w = -4, 28 = x*r - 4*w + 2*w. Let v(a) = a**3 + 3*a - 2. Let l(m) = -2*m**3 - 4*m + 3. What is r*v(i) + 3*l(i)?\nAnswer: -2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8313521.6 rounded to the nearest one thousand?\nAnswer: -8314000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54360 and 12840.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1360 and 105\/1127372.\nAnswer: 22547440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -17*a - 27. Suppose -55 - 25 = 10*r. Let d be l(r). Let h = d + -162. What is h rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02184 rounded to three decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1400515 (base 7) to base 8.\nAnswer: 551456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8513 + -14327. Let y = 1403790 + -18173732\/13. Let q = y + a. Calculate the common denominator of q and 93\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 1. Let p = 27 - 48. Let y = 26 + p. Let o(z) = 6*z**3 + 7. Let c be ((-15)\/(-10))\/((-5)\/110) - 2. Determine c*h(d) + y*o(d).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 3*m + 30, r + 2*m + 0 = -13. Is 4553 - -6*(-4 - r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-21)*(-180*1)\/(-5)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 55853 and 55853 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-11)\/33 - 20\/(-6). Suppose -f + w = -31. What is the highest common divisor of f and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6559920 to the nearest integer?\nAnswer: 2561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58.7754 + 58.7. Let a = z - -0.08. Round a to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004158854 to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 371 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 2\/9, -12, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6555 and 515085?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7343.6881+0\nAnswer: -7343.6881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4088804, -4088808, -4088812, -4088816, -4088820?\nAnswer: -4088824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/42*2\/(-15)*-33?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 1 + (24 - 0\/4). Let t = y + -3. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**11)**(-5\/9) assuming w is positive.\nAnswer: w**(-55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-4)\/30*1890\/(-378)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1331)*-1)**2 + 3 + sqrt(1331) + sqrt(1331) + sqrt(1331)*1.\nAnswer: 143*sqrt(11) + 1359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 2\/6467 (c) 0.06 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y - 6. What is a(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**2 - 26*n**2 - 2*n**3 + 9*n**3 + 45*n**2.\nAnswer: 7*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -476 + 505. Suppose -27 = u*t - 38*t. Let a(x) = -x**3 + 6*x**2 + x - 2. Give a(t).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 + -1030349.803?\nAnswer: -1030349.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4 + (-3 - (-26)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 33a52?\nAnswer: -33a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 4*x**2 + 3*x + 6. Let y = 3 + -14. Let d = y - -23. What is the remainder when i(5) is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 4\/21*n**3 - 1\/14*n**2 - 1\/42*n**6 - 3\/14*n**4 - 2 + 4\/35*n**5 + 0*n. Let b(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1519197 and 2607447.\nAnswer: 4353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10343, 10255, 10169, 10085?\n\"Answer: z**2 - 91*z + 10433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.18 (b) -0.62 (c) 0.2 (d) 5 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -11970000 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -3*k + 2014 + 225, 0 = 3*k + y - 2263. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of -p**5\/12 + 25*p**4\/36 - 20*p**3\/9 + 10*p**2\/3 + 19*p. Find w such that r(w) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Solve -2*t - 25 = c*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = c - 10. Suppose -z + c*z = 0. Let h(b) = -12 + z*b**3 + 14*b**2 + 0*b - 5*b**2 + 2*b - b**3. Give h(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j + 3*i + 9, -5*i - 25 = 5*j + 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 1941 = 3120. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 35*f**3 + 2*f**3 - 39*f**3 + 288*f**4 - 2*f + 166*f**4 + 4*f**3 to the form m*f + s*f**4 + z + w*f**2 + b*f**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86910?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d - 230. Suppose -32*n + 309 = 1589. Let u be q(n). Solve -u = 5*o - 10*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, a: 15}. What is prob of picking 2 l and 2 a?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = 9 - 24 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 3. Suppose 0 = -i*m + 5*b - 10, -3*b - 1 + 9 = -2*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-765)\/(-7) - 26\/91. Let h = -105 + o. Solve h = b + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9966 is divided by 267.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-18)*(-348)\/(-58))\/((-18)\/9)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-30))\/((-2)\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73032323.0000056 + 73032296. Let v = 0.38 + 26.62. Let z = x + v. Round z to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (46\/10)\/(60\/50). Let s = -102 + 102. Suppose 4*o + 4*o - 40 = s. Is f not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 56 = -3*w. Let y = 29 + w. Suppose -4*r = 4*t - 0*r - 24, 5*r - 23 = -4*t. Calculate the highest common divisor of y and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-549)\/(-12) - (-3)\/12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + h + 47, -2*h = 3*m - 4*h - 141. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/55 and 39\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5784421?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1288085 divided by -1288085.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1078309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, 0.1, -222702\/17 in ascending order.\nAnswer: -222702\/17, -0.11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24413 + 11033?\nAnswer: 35450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-6) - 70\/(-21). Suppose 5 - h = k. Which is smaller: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.5, 0.4, 24.38, 3 in ascending order.\nAnswer: 0.4, 0.5, 3, 4, 24.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-16)*-8 + (5 - (-5)\/5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.2? (a) 1\/4 (b) -89 (c) 1967\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 24*v**3 + v**2 + v + 1. Let o be g(-1). Let a = o + 26. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 400 = -12*x + 2*t, 290 = 3*x - 4*t. Calculate the remainder when x is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from kuccvvrrkrvzukvcccrc?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 224056798?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 124368856?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000061651058 to seven decimal places.\nAnswer: -0.0000617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 146397, 146556, 146813, 147162, 147597, 148112, 148701?\n\"Answer: -g**3 + 55*g**2 + g + 146342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 488225?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105590*z + 37911*z + 8907*z - 98658*z.\nAnswer: -157430*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 2)*(-6*y + 2 - 2)*(9 - 9 - 4*y)*(2 - 7 + 8).\nAnswer: -288*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z - z - 4 + 2*z**2 + 1. Let t be a(3). Suppose 5*q + 2*n - 25 = 0, 3*q - 9 = -3*n + t. Solve -1 = q*w - 21 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12111100001112 (base 3) to base 16.\nAnswer: 2c8d06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 0*s**3 - 1\/30*s**5 + 0*s**6 + 1\/105*s**7 + 0*s + 1 + 0*s**4 - s**2. Let y(c) be the second derivative of t(c). Factor y(z).\nAnswer: 2*z**2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 154655928 and 51551976.\nAnswer: 154655928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**2 + 11*j - 1. Let c be k(-2). Solve -10 = -3*l - c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13915793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.008 times 6.6\nAnswer: -0.0528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2000 = -5*s. Let y = s - -3139\/8. Let j = -3328\/5 - -667. Calculate the common denominator of j and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76971637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 59*c = -106 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2. Let o(t) be the second derivative of t**3\/3 - 33*t**2 - 1189*t. What is j(o(m))?\nAnswer: -12*m**2 + 792*m - 13068","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 115.0406m?\nAnswer: 0.1150406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 16890126?\nAnswer: -16890127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 328 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 3\/7, -14, 0.1, -2\/601?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 7380.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 7 = 3*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22391 - -22391. What is the second smallest value in -1\/12, c, 21?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -2 - (14 + -8 + 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -19, -30, -39, -46, -51, -54?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14234 to the power of 1\/2, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2*v = -10, -43*c + 48*c = -4*v + 22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -26*p**4 + 7*p**2 + 1926*p + 14. Let k(l) = -3*l**4 - l**2 + l - 2. Let f(i) = 7*k(i) + z(i). Find the second derivative of f(m) wrt m.\nAnswer: -564*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 307, -4\/3 in decreasing order.\nAnswer: 307, -1, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 less than 98?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9859 - 9304. What is the smallest common multiple of 220 and r?\nAnswer: 24420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 + 308\/5. Let l = -33.498 + 0.198. Let v = 33.4 + l. What is the closest to -4 in 0.4, t, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.095 in -3, -0.0835, 1\/3?\nAnswer: -0.0835","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 35967, 35897, 35829, 35763, 35699, 35637?\n\"Answer: f**2 - 73*f + 36039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 4, 3, -0.2, 0.43?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 4*r + 2522 = 2546, -t - 5*r = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 3*x**3 - 13*x**2 - 58*x**2 - 20*x**2 - 26*x**2.\nAnswer: -3*x**3 - 119*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 5*k**2 + 2*k + 11. What is the units digit of s(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 122, 1, 3 in decreasing order.\nAnswer: 122, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -8185a?\nAnswer: 8185d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -232 + 436. Let p = 201 - m. What is the third smallest value in 4\/3, -0.4, p, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 8 = 4*k, 3*m - 33*k = -38*k + 10. Suppose -u + 4*j + 20 + 31 = m, 112 = 2*u - 3*j. What is the remainder when 210 is divided by u?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*t + 4, -11 = -r - 0*t + 2*t. Let m(a) = -2*a - 3 - a + r*a - a. Let q be m(8). Solve -w - 2*y - 2*y = -16, 0 = -4*w + q*y - 20 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 273*b**6 - 464*b**2.\nAnswer: 32760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7 + 15\/7*m**2 - 17\/7*m.\nAnswer: (m - 1)*(15*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00441190747 rounded to four decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: bbb16 (base 14) to base 8\nAnswer: 1570430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 - (-1 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 9 = -5*g - 42, -g = -u + 7. Suppose 0 = 2*q + 3*d - 14093, 5719 = -5*q - u*d + 40924. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.687896 to one dp.\nAnswer: -8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 34, 7140 in descending order.\nAnswer: 7140, 34, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5107 is divided by 4061?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 524 in -0.018, -12, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p + 15 = -3*m + 16*p, -8*p + 20 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3752 - -3750. Which is the nearest to 1? (a) 0 (b) -1\/3 (c) l (d) -574\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -53*v**3 + 52*v**3 + 0*v - 12*v**2 - 11 - 23*v. Let g be k(-10). Solve 23*p - 16 = g*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -110288212132 and 40.\nAnswer: -110288212092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690 is divided by 340?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2 + 116*l - 807360.\nAnswer: 4*(l - 435)*(l + 464)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**2 + 1 - 53*p**4 + 16*p**4 + 18*p**4 - 2*p**3 + 17*p**4 as y*p**2 + i*p + h*p**4 + u + m*p**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2030321, -4060504, -6090699, -8120912, -10151149, -12181416, -14211719?\n\"Answer: -a**3 - 2030176*a - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*b + 2*l - 105, -3*b - 1879*l - 15 = -1880*l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6023, 6170, 6421, 6782, 7259, 7858, 8585, 9446?\n\"Answer: k**3 + 46*k**2 + 2*k + 5974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 10*x**2 - 109*x + 10. Determine m(6).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1*2)\/(-2)*1380\/(-85). Let r = m - -2000\/119. Factor 0*q**3 + 0*q + 0 + r*q**4 + 0*q**2.\nAnswer: 4*q**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08822 rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 9 = -2*o, 2*l - 5*l + 9 = 0. Let k = 0 - -2. Let r be (k - -4998) + o\/(-2). What is r rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 111\/4. Suppose 0 = 4*k - 5*c - 25, 4*c + 20 + 0 = k. Let g = -1 + k. Is d >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -311209 (base 13) to base 11\nAnswer: -712275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 59 + 28)*(2*h + 5*h - 2*h).\nAnswer: 470*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d*j - 550112*d + 1353819*j wrt d.\nAnswer: j - 550112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) -2 (c) -5 (d) 0.036 (e) 6\/7 (f) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -101*z - 41*z - 700. Sort z, -293, 0 in descending order.\nAnswer: 0, z, -293","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1 = 4*y. Let s = y + 63. What is the remainder when s is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315680\/360 + (-3)\/81*-3.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*d = -10*d - 69448, -4*d = 4*b - 69448. What is the thousands digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14427063 + i**2 - 14427063.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejem when four letters picked without replacement from jmkkeekemkjekemee?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 81064*-6807\nAnswer: -551802648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 19*m**6\/120 + m**5\/15 - m**4\/6 + m**3\/2 - 4*m**2. Is h(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/15 - 25\/(-75). Is t at least as big as 2\/2391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 556 and 3456.\nAnswer: 480384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 91*s - 87*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4082 and 7881557.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 817 a factor of 598962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, a: 6, l: 9}. What is prob of picking 1 l and 1 j?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 2 = 89*t - 90*t, 0 = -48*i - t + 26 + 23 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -481, -962, -1433, -1888, -2321, -2726, -3097?\nAnswer: -3428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 1521*v = -1522*v + 4, -26 = 4*f - 5*v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 - 10*l + 25. Let q = -49 + 54. Let h(g) = -q*g**2 + 0*g**2 + g**2 + 3*g**2. Let w(s) = -6*h(s) - 3*x(s). Factor w(o).\nAnswer: -3*(o - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2974 and 0.011.\nAnswer: -32.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -451167, -5, 0.07 in ascending order.\nAnswer: -451167, -5, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4218 = 435*z - 441*z. Let a = 714 - z. Calculate the greatest common divisor of 187 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 8*g + 14. Let d be r(6). Let a = -94 - d. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -0*z + 5*i + 21, 8 = 2*z - 2*i. Let f(n) = -5*n - 1. Let v be f(z). Suppose -r - v = 0, -2*j - 3*r = -0*j + 2. Solve 0*g + j*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-7))\/(51\/(-238))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, -14, 1948, -4, -1.\nAnswer: -14, -4, -1, 36, 1948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-8))\/(((-6)\/40)\/(252\/(-210))). Let f(h) = 4*h**2 - 5*h - 10. Calculate f(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1934296646 is divided by 6435?\nAnswer: 6431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27211436?\nAnswer: 2, 7, 463, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 68*j - 44. What is the remainder when 176 is divided by m(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 11*g**3 + g**2 + g + 1. What is m(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 3*i + 2. Let f be p(-2). Suppose f = a - 2 + 3. Sort a, -4, 4 in ascending order.\nAnswer: -4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 10*n**3 - 8 + 2*n**3 + 0*n**3 - n**3 + 4 - 2*n**3 - 4 - 3*n**3 - 3 + 3 + (-3 + 4 + 0)*(3*n**2 - 3*n**2 + n**3).\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 199 = l. Suppose -3*s = 2*s - 60. Find the second derivative of -l - 3*a**2 - s*a**2 + 40*a + 199 wrt a.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -307 - -322.7. Let f = b + -16. Let w be (-19)\/6 - (-66)\/22. What is the closest to 0.1 in w, -3, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1865.853 millilitres?\nAnswer: 1.865853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1\/6, -8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000644425 rounded to 7 dps?\nAnswer: -0.0000644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**5 - 124*s**4 + 264*s**3 - 8*s**2 - 260*s + 132 = 0. Calculate s.\nAnswer: -33, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -151418 - -13325249\/88. Let f = t + -3\/88. What is the common denominator of f and -25\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 53 - -101500?\nAnswer: 101553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1169*j + 199888 = 1185*j. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 3 - 2)*(-5*m**3 + 6*m**3 - 2*m**3) as v*m**3 + t*m**2 + l + i*m and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y + 3*y + 4*y. Suppose -6*j = -7*j + 5*m + 4, 4*j + 6 = -2*m. What is n(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 e when three letters picked without replacement from eecwwsseescsge?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 5. Suppose i*p = -38 + 170. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 7, s: 2, t: 1}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05712 + 1.\nAnswer: 0.94288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m + 39*m + 13*m)*(12*m**2 + 117 - m - 117).\nAnswer: 684*m**3 - 57*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 2*z**2 + 2. Let s(q) = -4*q**3 - 9*q**2 - 9. Let v = 6 + -1. Suppose 0 = 6*p - v*p + 2. Suppose -35 - 1 = 4*y. Give p*s(c) + y*o(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 968137 is divided by 241922?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3450573267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 9*m - 13. Let x be z(7). Suppose 2*g + 5*f = -2 - x, 5*g - 7 = 2*f. Let v be 1\/(-3) - (-7)\/9. What is the biggest value in g, -2, v?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**5\/60 + 5*l**3\/3 + 5. Let h(n) be the third derivative of u(n). Let o(f) = 7*f**2. Calculate o(h(k)).\nAnswer: 28*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -24. Suppose c + c = 2*a - 18, 3*a - 28 = f*c. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 7*(-17)\/(-221)*(19 - 6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**2 + 1738*v - 5708.\nAnswer: 4*v + 1738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 11. Suppose -j*i + 44 = -0*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579100 to the power of 1\/2, to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 14*o**2. Let x(q) = q**3 + 5*q - 1. Let n(c) = -c**3 + c**2 - 6*c + 1. Let y(b) = -3*n(b) - 4*x(b). Let v be y(-2). List the prime factors of a(v).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q. Let u(x) = 1854617*x**2. Give u(s(j)).\nAnswer: 1854617*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 7*j = 495. What is the greatest common factor of j and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/20801976 and -71\/15601482.\nAnswer: 62405928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 4*f**2 - 2*f - 2. Let n be l(-2). Suppose 15*q - 13*q - n = 0. Suppose -4*r - 3*k + 2466 = -k, 0 = 4*r - q*k - 2431. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 4*p - 1. Suppose 4*c + 3 = 7. Let d be w(c). Suppose -d*v + 2*m + 20 = 0, -5*v = -4*m + 5*m - 29. What is the lowest common multiple of 2 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108793 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 12*b**2 + 14*b + 2. Suppose 4*k - 2*i - 13 = -63, 38 = -3*k + 2*i. Let l be (-2 - k)\/((-3 - -4) + -2). What are the prime factors of t(l)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.403 * -5.\nAnswer: -12.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 2.999774. What is z rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7725 - 0.2275. Let q be (-15)\/7 + 1\/7. What is the closest to q in 6, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 2\/9 (c) -1\/28 (d) 3\/4 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29391469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1545762 to the nearest 10000.\nAnswer: 1550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4 = 6*o. Let r be 3*(o + (-21)\/9). What is the common denominator of 29\/2 and 1 - (355\/r)\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -711*z - 405*z - 356*z.\nAnswer: -1472*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -669891\nAnswer: -267956.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9*(56\/24)\/(-7))\/(-16)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 - -1) + 1 - 1. Suppose n = -5*r - n + 13, 3*r + 3*n = j. Let h(v) = 5*v - 4*v - r*v. Let f(u) = -2*u. Determine h(f(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.44, -5, 2, -0.4 in descending order.\nAnswer: 2, -0.4, -0.44, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 14*a + 3*a + a.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4457 + 6810. List the prime factors of h.\nAnswer: 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 49.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrrzrrzrrrrzrr. What is prob of sequence zz?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116009, -116941, -117871, -118799, -119725, -120649?\nAnswer: -121571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) + (-65)\/(-25). Suppose j + 18 = 4*g, 5*g - u*g - 4*j = 2. Let h(v) = -6*v - 1. Let i be h(-1). Solve -g*f = -i, w = 3*w + f - 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2)**(-24))**(-8\/7) assuming t is positive.\nAnswer: t**(384\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/(((s\/((s\/s**(-8))\/s*s))\/s)\/s))*s**(-2\/5) assuming s is positive.\nAnswer: s**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 511.70373ns in hours?\nAnswer: 0.000000000142139925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15163 and 295?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2.5, 2, -2\/5, 4\/83?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 563059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 211673873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2 + 3*y**3 + y**2 + 8*y + 4*y - 13*y. Let s be c(2). Calculate the greatest common factor of s and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*x)*((3 + 2 - 4)*(-1 - 3 + 3) - 75 + 31 + 129) - 5*x + 8*x + x in the form u + q*x and give q.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/14, -293, -0.7, -2\/9, 3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -266 + -5?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -872294.42 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/133 and 19\/308?\nAnswer: 5852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -31732, -1 in descending order.\nAnswer: 3, 0, -1, -31732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + h**2 - h - 1. Suppose -4*n + 7*i - 4*i = 10, 0 = i - 2. Let p be (0\/(0 + n))\/(-1). Determine f(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 50, -33*m + 30*m = 3*w - 24 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 390, 735, 1082, 1431, 1782?\nAnswer: 2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.5 and -142.\nAnswer: -143.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 379288 and 162552.\nAnswer: 1137864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 2 = -k - 2*q, -9 = 2*k - 3*q. What is the third derivative of 45*h**k + 23*h**3 - 124*h**2 + 160*h**2 + 16*h**3 wrt h?\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*f**2*p**2 + 3561*f**2 + 3725*p**2 wrt f?\nAnswer: -6*f*p**2 + 7122*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*x + 9*x = -20*x + 2268. Let q = 8 + 4. Calculate the greatest common divisor of x and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) -4\/5 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (24 + (16 - 24))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 6:53 AM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/11, 8\/7, 1, -0.14, -0.4, -3?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17087 * 0.025.\nAnswer: -427.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + 284 + -268 + -27.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32033233 (base 4) in base 10?\nAnswer: 58351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 994556?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2.3 and 10037428059.\nAnswer: 10037428056.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**4\/4 + 5*z**3 + z**2\/2 + 18*z - 12. Let q be k(-15). Differentiate -4*n**3 + n**3 - 5*n**q - 7 + 0 with respect to n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 269655025 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 7*q**2 - 21*q + 70. Let g(x) = 5*x**2 - 21*x + 66. Determine 2*f(u) - 3*g(u).\nAnswer: -2*u**3 - u**2 + 21*u - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrorrrr. Give prob of picking 2 r and 1 o.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - (-51 + 24 - -27 - 42).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 3*g + 43 + 278, g + 325 = 3*w. Calculate the smallest common multiple of 243 and w.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 12 = -3*m, -3*m + 0*i - 20 = -5*i. Let y = 58\/7 - 60\/7. What is the smallest value in y, 1, -0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 3*p + 600. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -34*b**2\/3 + 62*b\/9 + 40\/9 = 0.\nAnswer: -20\/51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*l + 268 = -71*l. Which is smaller: l or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -174*j - 342. What is v(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35624 by -2.\nAnswer: -17812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 <= 4171.088?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.8 or -14\/1423?\nAnswer: -14\/1423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5918 - 5918.4. Suppose 3*q - 5 = -2, 5*q + 5 = -2*g. Which is the second smallest value? (a) -1\/2 (b) -0.1 (c) p (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 5, u: 1, b: 3}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b - 49. Let i(k) = -39*k + 295. Give 34*f(z) + 6*i(z).\nAnswer: 4*z + 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-7) - 6\/(-21). Let v = 317 - 317. Sort -3, 6\/5, v, i in decreasing order.\nAnswer: 6\/5, i, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 1)*(-1 - 4 + 4)*(-262 + 429 - 1556)*(0*x**2 + x**2 - 2*x**2).\nAnswer: 2778*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 21 = -5*i, 7*i - 3*i + 5*f = 15. Suppose 0 = i*h - h - 8. What is the smallest common multiple of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p + 3*n + 3235 = 0, -2*p - n = -1283. Suppose -656 = -2*o + 5*m, -2*o = 4*m - 6*m - p. Is 47 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5684838 or -51163552\/9?\nAnswer: -51163552\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/210 and 103\/3420564.\nAnswer: 17102820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q - 1. Let m = 3 - 4. Let b = 0 - m. What are the prime factors of x(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18201814 divided by 3.\nAnswer: 18201814\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11933727 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-294)\/(-2331))\/7)\/((-2)\/6)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 1151*z - 5. Let o(f) = 23*f. What is o(c(k))?\nAnswer: -23*k**2 + 26473*k - 115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 3 - -2)*-3. Let f be (5*6\/210)\/(2\/(-6)). Sort 0.1, f, q in descending order.\nAnswer: 0.1, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 - 44.99. What is the smallest value in d, -2\/3, -0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 17*j - 408. What is the remainder when j is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 925.338 + -922. Let p = -3.5 + o. What is p rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**5 + 3*k**5 + 2*k**5 + (-3*k**4 - 4*k**4 + 6*k**4)*(2*k + 0*k + 0*k) + k**5 - 2*k**5 + 2*k**5.\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -40*h - 156. Let i be w(-4). Determine j so that 0 + 1\/2*j**2 - j - 1\/2*j**5 + 3\/2*j**3 - 1\/2*j**i = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -59 - (-21 + 7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57535 is divided by 56803?\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -207*g + 104. Let j(q) = -4*q - 3. Let r(n) = 3*j(n) - k(n). Find the first derivative of r(f) wrt f.\nAnswer: 195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 1 + 1)*(-4*a - 3 + 3) - a**2 + 15 + 6*a**2 - 7.\nAnswer: 13*a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 6:50 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3064*f**3 - 3166*f**2?\nAnswer: -18384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 0 + (-7 + 7 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q**2 + 4 + 3 - 3 + 3 + 10*q.\nAnswer: -10*q**2 + 10*q + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 7*x = 14. Let j(m) = 8 - 20 - m**2 + 23*m - 37*m - 25. Let y be j(x). Solve -r - 3*p = -9, 2*r + p - y = -3*p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 96*r + 201*r + 11 = 100*r, 2*m = -5*r + 7 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 2*u**2 + 1\/300*u**5 + 0*u + 0 - 1\/120*u**4 + 0*u**3. Solve c(v) = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265139?\nAnswer: 7, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(6*-1 + 0). Suppose -o + 0*o = -3. Solve y = -t + o*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 17*m**2 - 32*m + 31. Let n be q(15). Let u be (-2)\/(-6)*(3 + (-9)\/4). What is the nearest to n in u, -3\/4, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 15*n**2 + 4*n + 2. Let s(y) = 17*y**2 + 6*y + 3. Let q(l) = -2*s(l) + 3*u(l). Let k(z) be the first derivative of -z**3\/3 + 7. What is k(q(c))?\nAnswer: -121*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2. Let v(h) = 2*h**2 - 20*h. Determine v(p(z)).\nAnswer: 2*z**4 - 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**7\/840 - 9*h**6\/8 - 36719*h**5\/120 - 12105*h**4\/8 - 72361*h**3\/24 - 23*h**2 + 54*h. Factor f(m).\nAnswer: -(m + 1)**2*(m + 269)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (3 - ((-3 - 0) + 9)) - 8\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*a = 5, 2 = h - 3*h - 2*a. Is 1\/2 - (-73)\/(-2)*h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 3*m = -p - 7, 2*p + 3*p - 3*p - 12*m = -32 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-1*2) - 0. Let f(a) = -7*a + 6*a - a + 3*a**2 - 2. Let w be f(n). What is the highest common factor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2364, 1707, 1050, 393, -264?\n\"Answer: -657*o + 3021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 t, and 2 m when four letters picked without replacement from hmhcdbbmmcbtc?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10522 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*x = -3*x - 4, 5*x = -g - 4. Let o = -241\/6 + 40. Let l = 2041 - 2044. Which is the nearest to -0.2? (a) g (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 121 = -4*y - 281, 0 = 2*z - 5*y - 819. Let a = z - 202. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*g + 39. Let f(o) = -2*o**2 + 2*o + 19. Let h(d) = -d**2 + d + 10. Let p(a) = 4*f(a) - 7*h(a). What is the lowest common multiple of g and p(0)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 7*w - 48. Solve -7*g - w = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47260194 to the power of 1\/4, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1228087 is divided by 76?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/25 and (4 + ((-152)\/50 - 1))*18.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 3, -75 in ascending order.\nAnswer: -75, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 10 = -5*x + 16, -5*x = -2*s + 26. Suppose -13*n = -s*n - 1180. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/314418*-13*-6?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/75)\/((-1)\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*u = -33, 7*q - 15*q + 5*u = -87 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14621 (base 8) in base 9?\nAnswer: -8872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*p = -33 + 221. Let u(c) be the first derivative of -5*c + 0*c**2 + 0*c**3 - 3\/4*c**p - 5. Find the first derivative of u(z) wrt z.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 80893\/(-11646) - 2\/(-3). Let f = s - -1\/647. What is the common denominator of 59\/10 and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.19 + -0.2. Suppose -4*l - 2*r - 12 = 0, 6 = -6*l + 7*l + 5*r. Which is the smallest value? (a) v (b) 0.2 (c) -2\/21 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 6*s + 5. Let i be v(-6). Suppose 15 = 2*p - i*k, -4 = -p + 3*k + 4. Calculate the remainder when 18 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*o + 5*y, -y + 0 = 3*o - 1. Let s(h) = h + 1. Let b be s(o). Let k be (-31)\/(-4) + (-2)\/(-8). Solve 5*i = -10, -6*w = -b*w - 2*i - k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2778537743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27\/2 + 40\/3. Which is the third biggest value? (a) 0.02 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, g: 4, q: 1, v: 1, p: 1, h: 3}. Give prob of picking 1 q and 1 p.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -290174*o**3 + 188210?\nAnswer: -870522*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -385, -723, -1085, -1501, -2001, -2615, -3373?\nAnswer: -4305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41792)\/(-7836))\/(8\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 4, -5\/158, 2?\nAnswer: -5\/158","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 0.3, -0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/2 + (-35)\/20. Let m = 5\/8 + t. Which is the nearest to 1\/2? (a) m (b) -5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1071424.179 nanoseconds in weeks?\nAnswer: 0.0000000017715346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/17632*-29)\/(-2)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 4*s + 24 = 0. Let v = 6 + s. Let x be (-5)\/3*(v + -1). Let r(k) = -k**3 + 6*k**2 - 6*k. Determine r(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of u**8\/3 - 13*u**5\/60 - 60*u**2. What is the third derivative of j(k) wrt k?\nAnswer: 6720*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11129 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -227166 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 + (24 - (-13)\/((-52)\/140)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u - 2. Let d be a(2). Suppose 39 = 3*i - 42. Let c = d + i. Calculate the smallest common multiple of c and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -b + 3*t, -2 = 5*b - 3*t - 108. Calculate the highest common factor of b and 590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -377296737, -754593474, -1131890211, -1509186948, -1886483685, -2263780422?\n\"Answer: -377296737*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14073.54 days?\nAnswer: 20265897.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -262, 29, -5494 in increasing order.\nAnswer: -5494, -262, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2944 minus -12602?\nAnswer: 9658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*w + 18 - 15 - 7.\nAnswer: -27*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q**3 - 2*q**4 + 4*q**3 + 3*q**3)*(5*q - 7*q - 16*q).\nAnswer: 36*q**5 - 18*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a meter in millimeters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270 is divided by 132?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 1)*5\/4. Let m(s) = -s**2 - 3*s + 12. Let x be m(w). Solve -8 = -5*g + y - 2*y, -x*g - 2*y = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1020)\/(10 + 7)*25\/(-28). Let a = r - 3361\/63. Factor 2\/9*j**3 + 0 - a*j**2 - 4\/9*j.\nAnswer: 2*j*(j - 2)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 7*m - 2. Suppose 0 = 3*v + 6 - 24. What is the remainder when v is divided by q(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/((-2)\/(8\/(-28)))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0) + (329 - 331).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7023.8 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6207*l**2 + 6210*l**2 - 12419*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 2 - 8 = 15*d, -11 = 4*d - 59*v + 62*v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + q**2 + 4*q - 4. Determine a(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2844622.\nAnswer: 2, 11, 31, 43, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11, 1, -3\/2, -0.11, 75, -32, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 5, t: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 514 + -360. Let r = -649267 - -649421.0141. Let i = u - r. Round i to three decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1512 less than 111070?\nAnswer: 112582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*z - 1 + 37*z + 30*z**2 - 61*z in the form h*z**2 + u*z + i and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9339 + -9191. Are 149 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5568 - -1971. What is j rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*i**3 + 2073*i**2 + 2?\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*x + 61*x**2 - 59*x + 17*x**2.\nAnswer: 78*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + 8*g**2 - 10*g - 18. Let o be z(6). Let v(u) = -9*u**2 - u. Let p be v(-1). Calculate the remainder when 83 is divided by (9\/o)\/(1\/p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 348 = -y. Suppose -c - 3*c - 36 = 0. Let f = 39 + c. Calculate the remainder when y is divided by f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*a + 208*a - 125*a as d*a + v and give d.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/25)\/(12\/40).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 1) + (33 - 37).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -7*p**4\/24 + p**2 - 15. Let l(u) be the second derivative of 13*u**3\/6 + 341*u. Give 10*a(w) + 6*l(w).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 3, n: 2, f: 1}. What is prob of picking 1 f and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 94435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 6*t - 4*d, 180*d = 175*d - 20 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 42*a**4 + 15*a**3 - 81*a**2 - 6*a + 15. Let x(n) = 21*n**4 + 8*n**3 - 41*n**2 - 2*n + 7. Let c(y) = 7*f(y) - 15*x(y). Find h, given that c(h) = 0.\nAnswer: -2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1557, -3, -0.14, -2\/3, 3\/7?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 0*p**3 - 14*p**2 + 0*p**4 + 0*p + 0 + 1\/60*p**5. Let c be ((-18)\/8)\/(2\/8). Let k(q) = 2*q**2. What is c*o(d) + 4*k(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13786\/201 + 16\/201. Which is bigger: 70 or h?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91724*m**3*q**2 - 45*m**3 - m**2*q**2 + m*q + 75*m - q wrt q.\nAnswer: -183448*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 504192 and 292968?\nAnswer: 473436288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 12:52 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1552578?\nAnswer: 2, 3, 258763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/5 - 5463*z\/5 - 5462\/5.\nAnswer: -(z + 1)*(z + 5462)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, 2, -359, -4, 106?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103019?\nAnswer: 7, 14717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, n: 8}. What is prob of sequence nnvn?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 1\/1 + -11 + -4. Let m = s + 17. Let o(u) = 3*u**2 + 2*u - 8. Let c be o(m). What is the highest common factor of c and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 4)*(-3*s**5 + 2 - 1 + s**5) - 20*s**5 + 4*s**5 + 11*s**5.\nAnswer: -19*s**5 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132542266 to the nearest integer?\nAnswer: 11513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l**3 + 3*l**2 + 4*l - 3. Let a be w(3). Let i be 13\/((-3)\/a - 0). Calculate the highest common factor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 35 = 5*b, b - 23 = -2*h - 2*h. Suppose -3*z + 42 = b. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**2*h + 20*f**2*u - 53*f*h*u - 2*f*h - 339*f*u + 51*h*u + h - 41 wrt h?\nAnswer: f**2 - 53*f*u - 2*f + 51*u + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -97872*r + 100101*r - 222900 for r.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 260 divided by -4\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 185389814 and 2386?\nAnswer: 2386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*f + 80, -35 = -i - 2*i + 5*f. Let q = -17499 + 17517. Solve -4*r - 2*j = i, 0 = 3*r + 5*j + q + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/10 + 1830\/(-300) + 11. Solve -3\/4*u**p + 33\/4*u - 9\/2*u**4 - 15\/2*u**3 + 9\/2 + 0*u**2 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*g + 25. Let w be (-2 - 14\/(-5))\/(-4 - -6). Let b = -1.8 - -2. Sort w, b, g.\nAnswer: b, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - -0.3. Let s be ((-30)\/(-12))\/(1\/2). Suppose 6 = -s*f + 21. Sort 0.3, m, f.\nAnswer: m, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-2)\/4)\/((294\/120)\/7)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 443 divide 634352355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4 + 1 + sqrt(68) + sqrt(68) + sqrt(68) + -1)**2*6 + 0.\nAnswer: -3768 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -90*p + 347. Let i be z(-4). Let k(h) = 23*h**2 - h. Calculate the remainder when 622\/14 + 404\/i is divided by k(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 21*r + 557. Does 73 divide o(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 457*j**2 - 2*j. Let y(q) = 70*q + 66*q + 51*q - 182*q. Determine y(z(i)).\nAnswer: 2285*i**2 - 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-25 + 35 - -21) + -7 + 0\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3919 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -14*d - 6. Calculate y(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 280997069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 8) + -35 + 41?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1322.\nAnswer: -2\/661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**4 + 4926*h**3 - 14760*h**2 + 14754*h - 4917 = 0.\nAnswer: 1, 1639","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*162268348.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3468)\/(-1445))\/(2\/(-10))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -3, -0.1475, -4.\nAnswer: -4, -3, -0.1475, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -598, -1194, -1792, -2392, -2994, -3598?\n\"Answer: -p**2 - 593*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z**3 - z**2 - 3*z - 2. Let g be w(-1). Suppose 6*v + 3 = 5*v. Let c = v + g. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*s + 100, 3*s - 4*w - 93 = -29. Calculate the remainder when 126 is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1 - 876*i**6 + 345786*i**2 - 345769*i**2 - 594*i**6 wrt i?\nAnswer: -176400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 524 - -854?\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -147 + 155. Solve 0 = -k*l + 3*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 23*v**2 + 19*v - 11. Give x(14).\nAnswer: -1509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6565.1885 to the nearest integer.\nAnswer: -6565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 11) in base 14?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9993\/37 - 270. Which is the nearest to -0.1? (a) 0.5 (b) 0.2 (c) -5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1847 (base 13) to base 12\nAnswer: 2108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*d**2*o**2 + 4*d**2*o - 24*d*o + 13*d - 2*o**2 wrt d?\nAnswer: 24*o**2 + 8*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from {r: 1, y: 1, x: 2, f: 4, z: 3, m: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 196\/9, 1.969, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -6. Let r(v) = 7 + 0 + 9*v + v**2 + f - 2*v**2. Is r(9) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/264 - 87\/(-319)) + 17\/(29 + -12).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362741748.\nAnswer: 2, 3, 30228479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -1 + 6*l**3 + 10*l - 5*l - 3*l**2 + 7*l**2. Let t = 26 + -22. Let s(u) = 7*u**3 + 5*u**2 + 6*u - 1. What is t*s(j) - 5*y(j)?\nAnswer: -2*j**3 - j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2093\/632 + -232\/79. Let s = -10809\/4 - -2770. Let w = -67 + s. Which is the fourth biggest value? (a) w (b) q (c) -0.2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 5*w + 0*w + 2*w. Let n be z(5). Sort n, -2, -1 in ascending order.\nAnswer: n, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -333 + 468. Suppose 3*f + 2*n = 135, 3*f + n - s = 6*n. Suppose 2*y - f = -13. Calculate the remainder when y is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45110659 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 0 - 2 + 3 + 2*b - 2. Let l(k) = k**2 - 10*k + 12. Let x be l(9). Let d(v) = -5*v + 2. What is x*d(a) + 7*h(a)?\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-41))\/(-4 + 2). Let u = -158\/123 + f. Let n = -0.26 + 0.06. Which is the nearest to 0? (a) u (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/((825\/(-44))\/(-15)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 481 - 480.999673. What is w rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -605\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 11*f**2 + 33*f + 3. Let l be o(-3). Let g = 0 - 1. Let y be (2 - g\/2)*2. Sort y, l, -4 in increasing order.\nAnswer: -4, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*x - 1, 7*x - 3 = 2*x - 3*k. Suppose x = -2*d + 5 + 5. Suppose -2*p + 0*s - 5*s + 41 = 0, d*p = -s + 91. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 13*x**2 + 25*x - 44. Calculate the smallest common multiple of r(12) and 24.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 609*r + 8516. What is a(-14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from akkkkakkkkakakkkkkk?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41212113043 - -3?\nAnswer: 41212113101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/j**(-3\/2))))**(3\/5)\/(j\/(((((j**(-11)\/j)\/j)\/j)\/j)\/j)*j**13*j) assuming j is positive.\nAnswer: j**(-59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.02885 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -22, -57, -114, -205, -342, -537, -802, -1149?\n\"Answer: -2*w**3 + w**2 - 24*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7*s**2 - 3*s - 1. Let r(a) = -21*a**2 - 8*a - 4. Let d(c) = -4*r(c) + 11*t(c). Let y(m) = m**2 + 1. Determine d(v) - 6*y(v).\nAnswer: v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 527 (base 10) in base 7?\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -147 - -428. Suppose r - 43 = 3*l + v, -321 = -r + 2*l. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-139)\/(-3) - (-50)\/30. What is the greatest common factor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -s + 3, -s - s = -4. Let o be 9 - (-1 + a)\/(-2). Let t be -3*3\/o*-2. Solve 0 = 3*n - t + 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*o - 32*o = -86*o + 13860. Is o at most as big as 998\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -o. Suppose 0 = h - o*h - 4, -2*x - 2*h = -324. Let w = -98 + x. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -3*f**3\/2 - 2517*f**2 - 2027013*f\/2 + 2037093 = 0.\nAnswer: -1003, -677, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**3 + u**2 - u + 23087. Is w(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, n: 5, c: 6, x: 1, a: 3}. What is prob of sequence baa?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + 50. Let j = -36 + s. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753336605?\nAnswer: 5, 7, 19, 109, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/14*4)\/(60536\/9212).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 208 + -208.3. Let r = 0.58 + 0.02. Let x = r + -0.7. Which is the closest to x? (a) 5 (b) 3\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 45*r + 528. Let n be w(-12). Let u(l) = -l**2 - 13*l - 3. Calculate u(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 124*o + 128*o = 0, 0 = g - 5*o + 15 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1110110111001001 (base 2) to base 8.\nAnswer: -166711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -2*t**2 + 0*t - 5\/24*t**4 + 0*t**3 + 0 + 0*t**5 + 1\/24*t**6. Find the second derivative of j(b) wrt b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*f - 2*w, -2*f - 2*f = -5*w + 18. Does 12 divide 1*-40*3\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*j - 166 - 93, 4*j = 20. Suppose 91 = 4*y + q, -5*y + 4*q + o = -15. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 67*s + 128 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6361077?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikikrikk. What is prob of picking 1 r and 1 k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802 is divided by 148?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1479 a factor of 47223262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 11*o + 54. Does 3 divide x(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 808388 and 2887100.\nAnswer: 20209700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10256.93169 - 10257. Round g to three dps.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 8157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24005467*v**3 + 68781147 with respect to v.\nAnswer: 72016401*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -714935 + -8?\nAnswer: -714943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*(-1 + 2))\/(-228*(-117)\/13338)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -7 + 1 - -5) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a kilometer in meters?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5*6)\/(((-29)\/((-580)\/(-30)))\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4382, -18264, -41634, -74492, -116838, -168672, -229994?\n\"Answer: -4744*z**2 + 350*z + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*f - 60*f + 5*m = -48705615, m = 2*f - 24352803. What is f rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -95, -168, -245, -326?\nAnswer: -411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -15. Factor 0*l**5 + 3*l - u*l**5 - 20*l**2 + 4*l**4 + 12*l**3 + 0*l**3 + 5*l.\nAnswer: -4*l*(l - 1)**3*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ilyhhssi. Give prob of sequence hysh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -17*t**2 + 5*t - 3. Let l(d) = -d**2 + 9. Let j(c) = 19*c**2 - 5*c + 21. Let n(h) = j(h) - 2*l(h). Let z(o) = 5*f(o) + 4*n(o). What is z(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 127 - 379\/3. Factor 2\/3*l**4 - 2\/9*l**5 - 2\/9 - 4\/9*l**2 - 4\/9*l**3 + g*l.\nAnswer: -2*(l - 1)**4*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(((-960)\/612)\/(-16)*3).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 835, 1672, 2511, 3352, 4195, 5040?\nAnswer: 5887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1629 is divided by 969.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**3\/3 - 19700*g**2\/3 - 3359679*g - 435474846 = 0.\nAnswer: -19178, -261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**2 - 232457748*n + 232457746 = 0.\nAnswer: 1, 116228873","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 + 16*f**2 - 202*f - 1480. Let d be z(-7). Solve 10*q = -d*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 61*f + 61*f + 4*f**4.\nAnswer: 4*f**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4 * -10930.\nAnswer: -48092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -112 + 1530?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 271018, 272134, 273250, 274366, 275482?\n\"Answer: 1116*q + 269902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.229 - 0.029. Let b be (-3)\/(24\/(-29)) - (-19 - -23). What is the closest to -1\/2 in b, -0.1, -0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12202400 (base 5) to base 12\nAnswer: 57147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (137\/(-2))\/(2\/4). Let r be ((1\/9)\/((-9)\/27))\/((-19)\/(-7809)). Is r bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klk when three letters picked without replacement from {k: 5, u: 3, l: 2, h: 7}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 329, 328, 327, 326, 325?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 7:50 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-6)\/(-5))*-2. Let h(a) = 1 + 2*a**2 + 3*a**2 + 7*a - 6*a**2. List the prime factors of h(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvy when three letters picked without replacement from {y: 7, v: 7}.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -1 (c) 69 (d) -2\/3 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**4\/2 - 104441405*c**3 + 7272004753729818*c**2 - 168777424850273945181027*c + 337554835156538591785227\/2.\nAnswer: (c - 69627603)**3*(c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 3*j**2 - 13*j - 1. Let m(l) = l**3 - 3*l**2 + l + 3. Let y be m(3). Let u be k(y). Solve -v + 21 = -4*w, w + u = 5*v - 0*v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142*p**3 - 3*p**2 + 2*p**2 - 6*p**2 + 132*p**3.\nAnswer: -10*p**3 - 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 782b45 (base 14) to base 13.\nAnswer: acacab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 438244 - 438244 + 5*x**3.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 533 + 5?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/5 + 19571416*r**2\/5 + 47880040530632*r\/5.\nAnswer: 2*r*(r + 4892854)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1375651253*d - 169784362 with respect to d.\nAnswer: 1375651253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/41 - 947\/82. Which is smaller: -13 or t?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/22)*z**(-26)*(z**(-4)\/z)**(6\/17) assuming z is positive.\nAnswer: z**(-10401\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -8*t**4\/11 + 198*t**3 - 21484*t**2\/11 = 0.\nAnswer: 0, 41\/4, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -5*s + 3*x - 15, -2*s = -x + 12. Let z = -3 + 4. Put s, 2, z in increasing order.\nAnswer: s, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, 4, 2, 10442, 5 in decreasing order.\nAnswer: 10442, 5, 4, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 393.3 - 446. Let d = 52 + j. Let p = 2\/21 + -11\/42. Which is the second biggest value? (a) 0.2 (b) d (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 230 and 18340.\nAnswer: 421820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/4)\/(-5) + (-50)\/(-40)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.2 - 3.06. What is the third smallest value in 9, 0.4, i?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxuuakasuxxxpxxsxuaa. What is prob of sequence xax?\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-11949)\/(-1138)*(2\/5)\/(1\/5)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -666 divided by -2\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 15*q - 117. Let x be t(8). Let z(a) = 16*a - 38. Let r be z(x). Solve 0 = 13*p - r*p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u = 4*a - 48, -2*u - 28 = -3*a. Let q be (-4)\/2 - (8 + u). Let v(b) = -11*b + 18. Let d(n) = -3*n + 5. Let i(j) = 7*d(j) - 2*v(j). Determine i(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 12:44 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 211557156 rounded to the nearest 10000?\nAnswer: 211560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-13)*(0 + 1). Let z = c + 35\/117. Sort -1\/3, z, -2\/9 in increasing order.\nAnswer: -1\/3, -2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -10*t - 149. Let c = 12198 + -12214. Give v(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 212258 divided by -7.\nAnswer: -212258\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 13 (b) -1\/2 (c) 4 (d) -5 (e) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d + 2. Suppose -3*x + 4 + 5 = 0. Let m(k) = 2*k + 3. Calculate x*m(z) - 4*i(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*q + 1961 + 1024. What is the remainder when q is divided by 51?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.01303059 rounded to 3 dps?\nAnswer: 12.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (2*35\/105)\/((200\/(-150))\/(94\/4))\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1124426?\nAnswer: 2, 89, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20*11\/44 - (-3 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-975)\/165 - 1\/11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189002*k - 34056 = 188210*k for k.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -k + 8. Suppose -k*x = -0*x + 40. Is 11*12 + (-10)\/25*x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 656.6325 millilitres to litres.\nAnswer: 0.6566325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -97, -0.5, -9, 0, -54?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 4*m - 1. Let p(x) = -11*x**2 - 11*x - 58. Let t(o) = -5*k(o) - p(o). What is the tens digit of t(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*d = 0, 0 = 5*v - 2*v - 5*d + 4. Let l(c) = -10*c**v - 2*c**2 - 3*c**2 - 26*c**2. Let i(z) = -3*z. Give l(i(a)).\nAnswer: -369*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9*t**2 + 10*t + 13. Let l(x) = -5*x**2 - 6*x - 7. Let w(i) = -7*l(i) - 4*r(i). What is w(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 471 and 104400?\nAnswer: 49172400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 2*a + 3*a - 11, -18 = -3*v - 4*a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2*(-13)\/78 + 57\/322 and 10\/3.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 + 11*l**3 - 236*l**2 + 236*l**2.\nAnswer: 17*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m - 5*m - 3*m + 3*m. What is h(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 1, 266?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -7*y - 1\/6*y**4 - 1\/3*y**3 + 0 + y**2 + 1\/20*y**5. Give k(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 28. Let h = 21 - y. Solve -5*r = -h - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + -2 + 22 + -13\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 4*n = -1347. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28628.5932 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-45)\/30*(-2)\/(-3). Let z be g - ((-7)\/5)\/1. Is 2\/17 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 - 9) + -18 + 9 - (19 - 11).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(572)\/(sqrt(11) + -2*sqrt(11)*6))\/(sqrt(16)*-2 - -4*(-1*sqrt(4) - sqrt(4))).\nAnswer: sqrt(13)\/132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - k**2 + 5*k - 5. Let d be v(-3). Which is the nearest to 0.1? (a) d (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9916904 and 0.1?\nAnswer: 9916904.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + -53221052?\nAnswer: -53221055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x**10\/x*x*x)\/x*x)\/x**2*(x\/(x\/(x*x\/x**14*x)))\/x**3 assuming x is positive.\nAnswer: x**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 322441 (base 5) to base 14\nAnswer: 4016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/4)\/((-2)\/16). Let k = -9 + v. Suppose -4 = -j - j - 3*y, -9 = -j - k*y. Sort 3, 1, j in descending order.\nAnswer: 3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 + -50.99999839. What is b rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.7 * -4.\nAnswer: 34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2134852 (base 11) to base 6.\nAnswer: -212245405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.9 + -0.1. Let c = 62.995 + 0.005. Let g = -63.3 + c. Put g, x, 0.2 in ascending order.\nAnswer: x, g, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/2 (b) -3\/32 (c) -3\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 5*v. Let n be c(3). Let f = 14 - n. Suppose 0 = g - 4*b + 5, 3*b - f = -g + 15. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.125 times -2?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 2. Let c be (s\/2)\/(1\/(-3)). Let b(g) = g**3 + 5*g**2 - 6*g + 1. Let q be b(-6). What is the nearest to q in -3\/8, c, -2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 w, and 1 o when four letters picked without replacement from {e: 5, o: 6, x: 3, w: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5\/18 + 16\/9. Let r(t) be the first derivative of 0*t + v*t**2 - 3\/5*t**5 + 3 - 3\/4*t**4 + t**3. Factor r(x).\nAnswer: -3*x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/7, -47 in increasing order.\nAnswer: -47, -1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5\/2 (b) 0.34 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u = -27*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -33*u. Let l(n) be the first derivative of 0*n**2 + 0*n - 3 + 1\/3*n**3. Give v(l(j)).\nAnswer: -33*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01862803487 to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/13)\/2 - (-24180)\/1014. Solve 3*k + 7*c - 2*c = t, -c = -5*k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 0.5, -5, -60, -12, -35, 1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 - -7) + -3 + -1. Let d be (39 - (1 - -2)) + c. Calculate the greatest common factor of d and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148 = 587*r - 603*r + 52 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1184621*z - 7. Let h be u(-5). Let y = h - -59423112. Suppose 4*g - 3*m = -0*g + 42800000, 5*g = m + y. Round g to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 6:43 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unnt when four letters picked without replacement from kkuknknkkktln?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17177622 is divided by 61790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 286 and 52052?\nAnswer: 52052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 404981 - 770678475\/1903. Let t = k + -2\/173. Which is greater: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5838 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 130681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - sqrt(180)*2 - sqrt(180))\/(sqrt(10)*-2*1).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -744208 divided by -372104?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4059973985.\nAnswer: 5, 197, 461, 8941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*u - 5, u - 4*y - 36 = 5*u. Let r = u - -63. Is r a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 338*p + 3782. Determine g(-11).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4961118 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2675*q + 2676*q + 3 = 3*v, -4*q = -5*v + 19 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -598961 or -599054?\nAnswer: -599054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/2709*42\/49?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -497 + -153?\nAnswer: -60a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = -93*z + 551 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 10*k + 23*k - 5*k. Let d(u) = -2*u**2. Determine v(d(o)).\nAnswer: -56*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5861440 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.012622426 rounded to 4 decimal places?\nAnswer: -0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32, -85, -140, -197, -256, -317, -380?\n\"Answer: -s**2 - 50*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/20)\/(59\/1416))\/((-2)\/10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3029, -2, -11, -4, -3, 5, 0 in decreasing order.\nAnswer: 5, 0, -2, -3, -4, -11, -3029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -3*l**2 - 11*l + 7. What is p(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 20*a**2 + 2*a - 36. Let k be r(20). Let s(n) = -n + 5. Let h be s(k). Suppose -f + 91 = -h. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 10*n + 29. Let f be p(-9). Let d be (-5 + 75\/f)*-4. Suppose 0 = 2*j + d*j - 553. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 1. Let l be -2*(n\/(-9))\/(-4). Let t = -16 + 20. What is the biggest value in t, l, 1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, j: 9}. Give prob of sequence kkj.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3557775 by -533.\nAnswer: -6675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(54) - sqrt(6) - sqrt(6)) - sqrt(28)\/sqrt(4)*3 - (0 + (sqrt(7)*-1)**2 + sqrt(7) - (sqrt(7) - sqrt(28))*-1).\nAnswer: -7 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b7 - 8?\nAnswer: -c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (192\/42 - 5)\/(1\/(-7)). Solve 3*h = b - 4 - 1, o*h + 1 = 5*b for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(3 - 22\/8). Suppose -17 = a - y. Which is bigger: -13 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 282, 555, 914, 1359?\nAnswer: 1890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2857 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**7\/d))\/d*d\/(((d*d*d**(2\/7)\/d*d*d)\/d)\/d))**(-48)*(((d*(d\/d**5)\/d*d)\/d)\/d*d*d**(-1))\/(d*d*d**1\/d)**(-1\/23) assuming d is positive.\nAnswer: d**(47785\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/4 - 279*h**3\/4 - 24495*h**2\/4 - 648025*h\/4.\nAnswer: -h*(h + 49)*(h + 115)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2530)\/(-345))\/(15\/9 + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/10, -1\/4, 0.05875?\nAnswer: 0.05875","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.863352 - 1.0433575. Let x = d - -0.18. What is x rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07947 - 54.56947. What is x rounded to 0 dps?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196738 to the power of 1\/2, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 268 - 143. Let g = i - 127. Is (-3)\/6 - -1 - 1005\/g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 9 = m, w = 3*m - 3 - 9. Suppose 0 = m*k - k - 2. Solve o = 3*s - 3*o - k, 0 = 5*s - 5*o - 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.68 - -5.\nAnswer: 4.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 4*r + 2. Let p be l(6). Let a = 34 + p. What is the remainder when (-2)\/(-4) + 15*(-296)\/(-48) is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7644872959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 smaller than 0.11809?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 51101.86 nanometers?\nAnswer: 0.00000005110186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 14*r**2 + 24*r + 14. Let n be w(12). Calculate the greatest common factor of n and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/(4\/(-8)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 1:28 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + (sqrt(1300) - (sqrt(1300) + -2))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 523 divide 111922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 + -356. Is (l - (-1 + 3 + -4))*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 3*h - 124. Let t = 24 + -18. Suppose -h = k - t*k. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 8:53 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-20)\/(-5))\/(5 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5063 + -35540\/7. Let q = d - -97\/7. Which is greater: -1\/10 or q?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.29 and 0.5.\nAnswer: -0.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 91*m + 7. Let r be o(3). What is the greatest common divisor of r and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1359\/7 - 193. Let i(p) = p**2 - 6*p + 5. Let v be i(5). Let u be v + 0*(-1)\/(-2). Which is greater: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 18689299, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1299468058 to the nearest integer?\nAnswer: 36048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23091036 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 10. Suppose q - 4 = -1. Let v(k) be the second derivative of -k**3\/2 - 29*k**2\/2 + 732*k + 4. Determine q*v(i) - 8*n(i).\nAnswer: -i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 672 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54375415?\nAnswer: 5, 10875083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 2)*(-q**3 - q**4 + q**3) + 104*q**3 - 10*q**4 - 202*q**3 + 99*q**3 to the form x*q**3 + v*q**4 + j + p*q**2 + b*q and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -53402.35 to the nearest ten.\nAnswer: -53400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 71527678 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duddddddddud. Give prob of sequence uddd.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 10) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 33*c**3 - 12*c**2 + 2*c - 18. Let a be g(5). Suppose -6*f - 529 + a = 0. List the prime factors of f.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36.6 - 29. Let w = -0.09 - 7.91. Let a = p + w. Sort -1\/7, a, 0.4 in increasing order.\nAnswer: a, -1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*a = 238*a + 36. Solve 0*y + a*y = 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 3. Suppose 0 = -s*z + 5*z + 225. Let m be ((-3)\/5)\/(3\/z). Calculate the greatest common divisor of m and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -12. Let m = -1.7 + w. What is m rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3289184556 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**5 - 2*u**4 - 10893*u**3 + 20628*u**2.\nAnswer: 60*u**2 - 48*u - 65358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1067 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 30570731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 48*f + 720. Let m be h(-60). Solve m*x - 23*x = -115 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -159, -291, -385, -423, -387, -259, -21, 345?\n\"Answer: 3*t**3 + t**2 - 156*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544 + 450 = -47*q. Let x = -44 - -62. Find the second derivative of 7*y**2 - 55 + 55 - x*y**q + 2*y wrt y.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, 3\/298, -0.379 in descending order.\nAnswer: 3\/298, 0.01, -0.379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 5*m**2 - 6*m + 2. Let j be x(6). Suppose -128 = -j*y - 5*h - 45, 0 = -2*y + h + 77. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + g - g)*(4*g**4 - g**4 + 0*g**4) + 109*g**5 + 7*g**5 + 196*g**5.\nAnswer: 303*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*y + 752 = 317*y. Sort -30, y, -1.\nAnswer: -30, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8852.\nAnswer: 2, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqw when four letters picked without replacement from {q: 12, w: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 153753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -110011 (base 2) in base 9?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -77. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*h + 25*h + 11 = 0. Solve 0 = 8*f + h + 21 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/9 + 1444*z\/9 + 260642\/9 = 0. Calculate z.\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3175 (base 9) to base 11.\nAnswer: -1834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 155729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 852366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.032 + -1.968. Let i = -2.5 - -2. Let n = 0.6 - 1. What is the smallest value in j, i, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387.5893l in millilitres?\nAnswer: 387589.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9045076 is divided by 48112.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**5\/60 - a**4\/3 + 2*a**3 + 4*a**2. Suppose -b - 1 = -2. What is the remainder when l(-9) is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -276.\nAnswer: -276.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17302 - 17009. Calculate the highest common divisor of 35453 and t.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31676424341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -74989, -5, -2 in decreasing order.\nAnswer: -2, -5, -74989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 11:30 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(98\/(-21) - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -m**5\/110 + m**3\/11 - 2*m**2\/11 + 16*m. Suppose r(h) = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12334 (base 5) to base 16.\nAnswer: 3c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2781936, -2781949, -2781960, -2781969?\nAnswer: -2781976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*b + 145 - 115*b - 137*b.\nAnswer: 2*b + 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -45.64.\nAnswer: 365.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 82519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 200220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -1265590.\nAnswer: 379677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -915, -903, -877, -831, -759, -655?\n\"Answer: i**3 + i**2 + 2*i - 919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x + 6 = 0. Let s be (20\/x)\/((-2)\/(-3)). Let v be (6\/(-15))\/((-9)\/s). Which is the second biggest value? (a) v (b) -2 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -86506500 to the nearest one million.\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, j: 1, n: 1, r: 1, d: 1}. Give prob of picking 1 n and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3546158.215 rounded to the nearest one hundred thousand?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -15 + 61. Let j = n + 32. Let g(z) = 2*z**2 - 5*z + 2. Calculate the lowest common multiple of j and g(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3724.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in -2, -3, 2\/13, 0.04, -2\/11?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 21*g - 23. Let o(q) = 21*q - 22. Let l(x) = -2*n(x) + 3*o(x). Differentiate l(m) with respect to m.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-4\/5)\/w))\/(w\/(w**(2\/11)*w)))**(1\/10)*((w**(-2)\/w)**(-1\/7))**(-45) assuming w is positive.\nAnswer: w**(-36551\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*b**4 - 3*b**2 - 61*b**3 + 6*b**2 - 44*b**4 + 3*b**2 + 0*b**2 to the form x + q*b**3 + o*b + m*b**2 + h*b**4 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z**2 + 6*z + 6. Suppose 0 = 3*m + 4 + 11. Let k = -2 - -4. Let b(c) = 3*c + 5*c**2 + 0*c**2 + 5 + 2*c + c**k. Calculate m*f(o) + 6*b(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23833.\nAnswer: 23833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -104304 less than or equal to -104307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.6 * 0.02.\nAnswer: -0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4071010596?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/8 + (-6)\/24. What is the nearest to 0 in -4, a, 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owbve. Give prob of picking 1 w, 1 v, 1 e, and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -66*h**5 - 214*h**4 - 228*h**3 - 90*h**2 - 6*h - 4. Let a(r) = -r**5 + r**4 - r**2 - r + 2. Let b(g) = -2*a(g) - o(g). Factor b(p).\nAnswer: 4*p*(p + 1)**3*(17*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = 3*c. Suppose 3*p = f + 2, -3*f - p + c = 7. What is the remainder when 17 is divided by 10 + -4 + 2\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in 2.5, 4, 1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-20)*2*(-27)\/18.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 646040 - 24?\nAnswer: 646013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 5, 179, 2 in decreasing order.\nAnswer: 179, 5, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -1, 1, 14, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*sqrt(12)\/(sqrt(36)*-3).\nAnswer: -2*sqrt(3)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039099664?\nAnswer: 2, 19, 31, 110261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -981136 divided by 178.\nAnswer: -5512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 1490242?\nAnswer: 1490239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*b**4 + 5*b**2 - 2*b - 605.\nAnswer: -372*b**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2695)*1*-4)\/(sqrt(405) + sqrt(405) + (sqrt(405) - sqrt(405)*5) + 5*1*sqrt(5)).\nAnswer: 56*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 4*m - 18, c + 3*m - m = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35410654 to the nearest integer?\nAnswer: 5951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 30 = -2*m. Suppose -14*n + 9 = 3*f + 14, -2*f - 26 = -2*n. Solve m*t - n = 11*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 4:07 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (-9)\/(-2) - 3315\/(-30). What is the greatest common divisor of 140 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.5 and 5864.\nAnswer: -26388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14775, -8, -3, -1, 7.\nAnswer: -8, -3, -1, 7, 14775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 - -54. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1042 - -1064. Is -4\/11 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 190*w**2 - 332 + 12*w**2 + 6*w**3 + 332 + w to the form n*w**3 + j*w + d*w**2 + l and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ukftkgufkkggfktkku. Give prob of sequence tfu.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1353, -2717, -4095, -5487, -6893, -8313, -9747?\n\"Answer: -7*z**2 - 1343*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3640, 3941, 4444, 5149, 6056?\n\"Answer: 101*f**2 - 2*f + 3541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 796 and 79003?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 52, 99, 148, 199?\n\"Answer: u**2 + 44*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11862060 and 24.\nAnswer: 23724120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccc. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1978 = 11833*n - 11790*n for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.64, 0.4, 3\/7, -3\/7.\nAnswer: -0.64, -3\/7, 0.4, 3\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(4\/(12\/(-9))). Suppose -5*a + 0*a + 25 = q. Suppose 0 = 4*i + a*w - 0*w - 55, 4*i = -w + 43. Solve -k - k = -i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -66 - 1. Let z = 174 - m. Suppose z + 89 = 2*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 0*v**2 + v**2)*(78*v**2 + 60*v**2 - 159*v**2 + 5*v).\nAnswer: -42*v**4 + 10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 496525133?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 7:27 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iso when three letters picked without replacement from {l: 1, c: 2, i: 2, o: 1, s: 2, a: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 19*q**2 - 17*q - 12. Let i be h(20). Suppose -9*k + i = -6*k. Solve -7*a = -3*a + k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*3 - (-1 - 0). Let v = -5550 - -5549.6. Let z = -0.1 + -4.9. Which is the nearest to u? (a) z (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1000 is divided by 499.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 11*s**2 + 4*s. Let a(l) be the first derivative of 2*l**3 + l**2 + 63. Determine 5*a(c) - 3*w(c).\nAnswer: -3*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1514356159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*n + 297*n + 345*n + 368*n - 1335*n + 2.\nAnswer: 47*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((-90)\/27 - (-2)\/(-3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 3, 0.1, 5\/15429, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 8*f + 16. Let w be q(-9). Suppose -w = -7*o + 10. Let y(i) = i**3 - 3*i**2 - 4*i - 10. Let x be y(o). Is 21 at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 = -4*t + 4*g, 9 = t - 5*g - 26. Let f = t + 6. What is the remainder when f is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 43.7 in 3, 0.4, 0.3, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -11*b**4\/12 + b - 20. Let s(a) = -6*a**2. Give -2*n(h) + 5*s(h).\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*-1*-1)\/(sqrt(14)\/(sqrt(6)\/sqrt(3))).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 12) to base 13.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44769 - -74701. Suppose -16*c + z = 10*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357488?\nAnswer: 2, 22343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 10*t - 24 = 27, 0 = -4*w - 3*t - 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 697 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - ((-35 - -16) + 15)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + sqrt(7488)*2 + sqrt(52))\/(sqrt(4) - sqrt(144)*-1) + (sqrt(13) + sqrt(26)\/sqrt(2) + -3 - sqrt(130)\/sqrt(90))**2*1 + 1.\nAnswer: -44*sqrt(13)\/7 + 415\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/5 of a kilometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -162736*z**3 + 97*z**2 + 3*z - 10207.\nAnswer: -976416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d + 2*d - d**2 - 882 + 882.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2487830 plus -2.63?\nAnswer: -2487832.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21151, 1, 0.4 in increasing order.\nAnswer: -21151, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 11*f**2 - 27*f + 20. What is i(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 = 2. Suppose -32*s + 14 = -25*s. Suppose -3*k - 41 = -4*h, 0 = -h - k - s + 21. What is the greatest common factor of h and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + p**2 - 4*p + 4*p + 12. Suppose 90 = 10*x - 5*x. What is the least common multiple of i(0) and x?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 12*p**5\/5 + 2018*p**4\/5 + 2044*p**3 + 18672*p**2\/5 + 14696*p\/5 + 4238\/5 = 0.\nAnswer: -163, -13\/6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**3\/2 - 51*r**2\/2 - 28*r. Let k be z(17). Suppose k = 5*w + 3*p - 2404, 3*w + 0*w + 3*p - 1446 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -131300 to the nearest one thousand.\nAnswer: -131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 205300803.\nAnswer: -821203212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140528?\nAnswer: 2, 8783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338 divided by 169.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3 - 1681*y**2 - 8454*y + 40464.\nAnswer: (y - 1686)*(y - 3)*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 10 = 4*j, 4*d + j + 3*j = 4. Calculate the highest common divisor of d and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6093 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -21*f. Let z(x) = 10*x. Let p(b) = -4*m(b) - 7*z(b). Let r(o) be the first derivative of -o**2\/2 + 1314. What is p(r(j))?\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-97 + 504 + 660)*(-2*w + 3*w - 2*w) + 7*w + 2 - 2 + 2*w - w + w + (-3*w - 2*w + 3*w)*(-3 + 5 + 0) in the form z*w + d and give z.\nAnswer: -1062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12685 or 25369\/2?\nAnswer: 25369\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*r**2)*(-17*r - 1 + 10*r - r**3 - 19*r**3).\nAnswer: 40*r**5 + 14*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y - 53. Give m(-14).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k. Let f(l) = -3*l - 27. Let a(x) = 4*x + 41. Let w(u) = 5*a(u) + 7*f(u). Calculate y(w(o)).\nAnswer: 3*o - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (66 - 5910\/90)*((-43)\/(-49) - 1)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 2*i + 18*i**3 - 19*i**3 + 0*i. Let t(z) = -z**2. Calculate t(v(u)).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120220 + 10001121?\nAnswer: 11122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c + 2. Let u(w) = w**2 + 2*w. Let m be u(-2). Suppose m*a + 3*t + 9 = 2*a, 2*t = -3*a + 7. Give f(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*b + 534*b - 18144 = -404*b for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5385, 10785, 16185?\nAnswer: 21585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-1.6\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, q: 2}. What is prob of picking 4 u?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 137691664 and -0.01.\nAnswer: 137691663.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-375)\/((-6)\/(-2))*29*51\/(-1479)?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + sqrt(2268))**2 + -5 + (sqrt(56)\/(sqrt(56)\/(sqrt(112) + sqrt(7))))**2.\nAnswer: 2697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-2)*-18*(-17)\/1360*10\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -12*q**3 + 196*q**2 + 105*q + 286. Calculate d(17).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millimeter in nanometers?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*u**3 - 21*u**2 - 27*u + 4*u - 25*u**2 - 9*u wrt u.\nAnswer: -24*u - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*k = 25, -223*x + 227*x = 3*k - 8. Let m = -2 - -7. Is m < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -116476 and -4.\nAnswer: 465904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 5*g - 1. Suppose 0 = -x - 4 - 1. Let q be w(x). What is the units digit of 2\/2 + 3 + q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40231 + 4?\nAnswer: 40235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*x = -0*j - 903, 2*x + 3632 = 4*j. Let l = -516 + j. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/7, 1\/10, 0.961, 2?\nAnswer: 0.961","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(1 - (-34)\/(-28)). Let j = 20 - n. Solve -2*l + j = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31370263 to the nearest integer?\nAnswer: 5601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 2*k**5 + 4*k**3\/3 + 11. What is the third derivative of v(j) wrt j?\nAnswer: 240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 5*v**2 + 8*v + 4. Let x(k) = 6*k**2 + 10*k + 5. Let t(o) = 4*x(o) - 5*y(o). Let w(f) = -2*f + 4*f + 13 - 2. Give w(t(r)).\nAnswer: -2*r**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14885350*c**2 + 4190*c - 51?\nAnswer: -29770700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-39)\/(-78) + (22070\/33093)\/(4\/(-3)). Is 1 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3 + 5. Let b be a\/6 - (-247)\/(-4155). Let n = b + -2\/277. Is n > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, 158, 436, 806, 1262, 1798, 2408?\nAnswer: 3086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 68, 137, 206, 275?\n\"Answer: 69*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*c**2 - 36*c**2 - 81*c**2 + 178*c**2.\nAnswer: -17*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(637) + -3 + -3 - ((sqrt(637) + (sqrt(637) - sqrt(637)*1))*-1 - 4*(sqrt(637) + -1 + sqrt(637)))**2).\nAnswer: -2982*sqrt(13) + 309714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 9:13 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 48784, 48818, 48854, 48892?\n\"Answer: k**2 + 31*k + 48752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/3))**(-10\/7)\/(i*i\/i**(1\/4))**(25\/4))**(-1\/19) assuming i is positive.\nAnswer: i**(3355\/6384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (73\/(-5) + (-36)\/(-60))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.063 (b) 1\/2 (c) 87\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + -9)*(-2)\/5. Let z be 1\/5 - 2*(-10152)\/80. Suppose -3*m + y*m = -d + z, 5*d = 20. 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: What is prob of picking 1 n, 1 o, and 1 j when three letters picked without replacement from {v: 6, n: 2, j: 3, w: 2, r: 1, o: 4}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*(-2)\/(-91) - (-2)\/42?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -40, 56, 214, 464, 836, 1360, 2066?\n\"Answer: 5*c**3 + c**2 + 58*c - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -119*x + 115*x + 19, 0 = -3*d + x + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2 + sqrt(275) + (sqrt(275) - (-1 + sqrt(275))) + sqrt(275) + 5)**2.\nAnswer: 160*sqrt(11) + 1162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y + w + 38, 5*y - 3*w + 82 = 0. What is the units digit of (-314)\/y - (-30)\/(-70)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9437 is divided by 529.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 1 + (-5*sqrt(85))\/sqrt(5))**2.\nAnswer: -2*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 12*y + 2. Let u be j(12). Let g(a) = 2*a**2 + a + 1. Let n be g(-2). Let z be 2\/n + 19\/7. Solve z*d + 17 = 4*q, u*d - 5*d - 13 = -2*q for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 5*y**2 + 5*y - 5. What is the tens digit of p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 6:59 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11811 divided by -318\nAnswer: -3937\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 22*r + 17)*(-3*r**2 + 7*r**2 - 2*r**2).\nAnswer: 44*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 345671 greater than 345772?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 12 = 0, 5*h - 32*b = -27*b - 15. Sort h, 5, 23, 2 in descending order.\nAnswer: 23, 5, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + 100101?\nAnswer: 11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 2797042?\nAnswer: 2\/1398521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 671, 1390, 2109, 2828, 3547, 4266?\n\"Answer: 719*w - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 330044?\nAnswer: -330035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjmvysm. Give prob of sequence smy.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 30*i**2 - 42*i + 96. Let k(t) = 2*t**3 + 59*t**2 + 85*t - 178. Let g(w) = -7*c(w) - 4*k(w). Determine g(-24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 154551 (base 7) to base 6\nAnswer: 353013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 4*b**2 - b + 8. Let m be h(3). Is 17 + 0 + (m + 7 - 3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of 0 + 0*v**5 + 0*v**6 + 10*v - 11\/70*v**7 - 157\/24*v**4 + 6*v**2 + 0*v**3. What is the second derivative of c(s) wrt s?\nAnswer: -396*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/(k**(14\/9)*k))*k**4)\/(k*k**(-19))**19)**(-6) assuming k is positive.\nAnswer: k**(-6292\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 46*y + 105. Let n(d) = -73*d - 157. What is -5*n(s) - 8*o(s)?\nAnswer: -3*s - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.327 - -0.527. Which is the smallest value? (a) w (b) 0.3 (c) 0.5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217 and 892456985.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71287232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - 6*sqrt(117)*3)\/(-6*sqrt(1089)).\nAnswer: 17*sqrt(13)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 61?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 - 51 = m. What is the lowest common multiple of 7 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18, 7, 74, 183, 334, 527, 762?\n\"Answer: 21*u**2 - 38*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 2.28.\nAnswer: 1.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53194813 to the power of 1\/2, to the nearest integer?\nAnswer: 7293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38, 41, 44, 47, 50, 53?\n\"Answer: 3*j + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/90 and 2\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 5*h - 8, 5*h + 15*i + 0*i = 65 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -344, 141, -5, 3 in descending order.\nAnswer: 141, 3, -5, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1762*s = 1911*s + 2682 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-33)*24 - (-145)\/15.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -558555968*w**3 + 227325970*w**2 wrt w.\nAnswer: -3351335808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1)\/((-27)\/(-30) - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -u**2\/2 + 67*u - 30. Calculate the remainder when 187 is divided by m(20).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473144?\nAnswer: 2, 7, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**3 + v**2 + 6*v - 3. Let i = -62 - -62. Suppose u - l = -3, u + i*l = -4*l - 3. What is the units digit of f(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -3 + -1)**2 - (sqrt(504)\/sqrt(8) + 0).\nAnswer: -91*sqrt(7) + 863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20831, 34659, 48487, 62315, 76143, 89971?\nAnswer: 103799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 12220?\nAnswer: 12220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33351433?\nAnswer: 17, 877, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sls when three letters picked without replacement from wsllswlww.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19022*h + 1864339 = -56883 for h.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 555575 a multiple of 313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(2*s - 1 + 1) - 6 - 8*s + 6 + (-2 + 0 + 0 - 2 + 3 - 2 + (-1 + 2 - 3)*(-2 + 0 + 0))*(0*s + 5*s - 2*s)*(-1 - 2 + 2) + s + 0*s - 3*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 93\/(4 + -7). Let f(v) = -10*v + 1. Let u be f(-1). Let x = t - u. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/15859827 and 44\/45?\nAnswer: 79299135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q**2 + 2 - 2)*(5 - 5 - q**2) + (-2*q + 2*q**2 + 2*q)*(3*q**2 - q**2 + 0*q**2).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 12, k: 3}. What is prob of sequence kkf?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**7\/70 + 3*k**6\/20 - k**5\/4 - 3*k**4\/2 - 36*k**2 + 2*k - 3. Let x(h) be the first derivative of m(h). Factor x(f).\nAnswer: -3*f*(f - 4)*(f - 3)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-3) - (-10 + 3). Solve -1 = 2*r + 4*n - 21, 4*r - f*n = -25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -19 (b) -1.1 (c) 0.32 (d) -1\/258\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1440)*1)\/(1*sqrt(32) - sqrt(2)).\nAnswer: 2 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -2 + 1 + (34 - 26).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*q**3 + 6*q**3 + 4*q**3.\nAnswer: 26*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 6*y + 2*y**3)*(4*y**2 + 2*y - 2*y**2 + y**2).\nAnswer: 6*y**5 + 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/(-15) + (-1)\/(-5))\/(2\/22). Let r(c) = 8*c + 89. What is r(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*g = 5, -6*g = 3*h - 2*g - 15. Let u = 2812 + -19722\/7. Let r = u - -107\/21. Sort h, r, -0.094.\nAnswer: r, -0.094, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 4*j + 165. Let f(a) = a**3 + 96*a**2 + 187*a - 82. Let q be f(-94). Calculate u(q).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p + 412985 + 412983 - 825975.\nAnswer: 8*p - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jkywykvjjjkcwjy. What is prob of picking 4 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/11, -30, -11 in descending order.\nAnswer: 1\/11, -5, -11, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 50578796 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 9*y + 8*y + 363 + 361 + 372 - 1096.\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77830238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 733571\/7 + -105647. Let v = s - -2728799\/3206. Calculate the common denominator of v and 37\/5.\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2166 = 74*w + 538. Let y = -4 + 5. Solve -5*v + 4*s = -w, -2*v - 3*s = 3*v - y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 8*r - 150 = 0. Suppose r*k + 10*k - 120 = 0. Factor 4\/5*b**k + 12\/5*b**3 - 12\/5*b - 8\/5 + 4\/5*b**4.\nAnswer: 4*(b - 1)*(b + 1)**2*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j - j - 5*j + 10*j.\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(68)\/sqrt(4) - (1 + sqrt(2448)).\nAnswer: -14*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18*(-10)\/825 + (-12)\/(-66))*10. Solve j*a - 5*o = 0, -5*a - 8*o + 4*o = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2798?\nAnswer: 2, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(3 - 525\/165). Let s(b) be the first derivative of -4*b + 4*b**4 - 4\/5*b**5 + 8*b**2 - c - 8*b**3. Factor s(j).\nAnswer: -4*(j - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66236*o + 66235*o - 278 - 230)*(-4*o + 5*o - 3*o).\nAnswer: 2*o**2 + 1016*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46563\/119)\/11 + (-114 - -78)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 24161*a + 120702. What is c(-5)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -277958155*l**3*v**2 + 399*l**3*v - 2*l**3 + 10*l*v + 5*l - 2*v - 24 wrt v?\nAnswer: -555916310*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of 247*m**6\/15 + 436*m**4\/3 - 182*m. Find the third derivative of n(s) wrt s.\nAnswer: 11856*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 15. Let m = 2 + q. Suppose -20 = 4*c, m*d - 3*c + c = 49. What is the remainder when 26 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5221 + -5076. Calculate the remainder when 434 is divided by t.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80003228353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 3*g**2 + 23*g + 3. What is u(7)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 6.5. Let j = 3.5 - 5. Let w = -2 - j. Sort w, p, -0.3.\nAnswer: w, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/5 - 746*p**3\/5 - 1963*p**2 - 39408*p\/5 - 9108 = 0 for p.\nAnswer: -6, -5, -2, 759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 53512962 to the power of 1\/3, to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2657.9891253 rounded to the nearest ten?\nAnswer: -2660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i - 5. Let y be u(0). Let w be ((-2)\/(-4))\/(-3*5\/90). Let t = -41 - -85\/2. Which is the third biggest value? (a) w (b) y (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.4, -2, -16, 1\/3, 247, -30?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*(-1 + sqrt(5)) + 2 + -5 + 4)**2.\nAnswer: -84*sqrt(5) + 234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.091 + 0.025356\nAnswer: 0.116356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 8. Suppose 2*q - 16 + g = 0. What is the derivative of -3*w**3 + 2*w**3 + q*w**3 + 5 wrt w?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (5 - (12 - (5 + -3)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*h - 4 = 0, 5*h + 5 = -3*s - 2. Suppose -5*y + 80 = -25. Calculate the remainder when y is divided by (s\/9)\/(2\/33).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11987.97 + 10936. Let q = -1031 - n. What is q rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3021, -248, 2517, 5274, 8023, 10764, 13497?\n\"Answer: -4*l**2 + 2785*l - 5802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/((-25)\/6))\/((-15)\/(-4450)). Let d = j - 213. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 1. Let u(r) = r**2 - 4. Let h(g) = 2*m(g) + u(g). Let f be (-10)\/(-1)*2\/(-4). Let z(w) = -8*w**2 + 6. What is f*z(c) - 14*h(c)?\nAnswer: -2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d**2 - 7*d + 9. Let j(f) = -9*f**2 - 14*f + 17. Let i(v) = 7*h(v) - 4*j(v). Let n be i(-8). Let a = 4 - 0. Is n >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 0.1, -0.2, -7 in decreasing order.\nAnswer: 36, 0.1, -0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240948 divided by 2.\nAnswer: -120474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 7*o - 20 = 0. What is the remainder when 26 is divided by o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**0*j)**(-25)*j**2\/j**(-6) assuming j is positive.\nAnswer: j**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-5) + -3 - -4. Sort -1\/4, p, -3 in descending order.\nAnswer: p, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 15) to base 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 895.397l?\nAnswer: 895397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*j**3 - 10*j**3 + 19*j**4 + j**4 + 2*j**4 - 4*j**4 + (j**3 + j**3 - 3*j**3)*(j - 2*j + 3*j) + 0*j**4 - 5*j**4 + 4*j**4.\nAnswer: 15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/476 + 949\/1428. What is the second smallest value in x, 0.422, 0?\nAnswer: 0.422","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**3\/3 - 2*g. Suppose -2*j = -3*r - 19, 0 = j - r + 5*r + 18. Let a(s) = s**2 - s**2 - 2*s**2 + 3*s**j. Determine u(a(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3*g - 160 = 0. Let f = -156 + 86. Let h = g - f. Is 19 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -10 + 1 + (-2 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**7\/840 + o**6\/90 + o**5\/120 - o**4\/6 + 7*o**3\/6 - 6*o**2. Let w(c) be the first derivative of q(c). Determine w(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 877432?\nAnswer: 2, 67, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 7\/(-14)*(-8 - -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7276224 is divided by 162.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.99 times -771?\nAnswer: -763.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 486485372 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -97 - -109. Calculate the greatest common factor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48515\/11 + 4411. Let k be (-4)\/(1*1\/(-1)). Let -6\/11*c**k + 2\/11*c**5 + 4\/11*c**3 + 2\/11 + 4\/11*c**2 - i*c = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 11:29 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m + 22*m + 86224 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 12:54 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 - 1 + 5)*(-1 - b + 1) - 2*b - 4*b - b)*(20 - 20 + 29*b) to j*b + t + o*b**2 and give o.\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1355*h**3*u + 3*h**2*u + 30*h**2 - 6*h*u wrt h?\nAnswer: 8130*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -7*s + 28. Suppose -8*h + 9*h = 7. What is y(h)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*d + d + 3*d)*((143*d - 2777 + 2777)*(-2*d + 4*d - 3*d) + (-d + 3*d + 0*d)*(2*d + 2 - 2)) as c*d + m*d**3 + q + r*d**2 and give m.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 0)*((-37 - 7*g + 37)*(-4 + 1 + 1) - 6*g - 16 + 16)*(-1 + 2 - 4).\nAnswer: 48*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1 + 902*v**2 + v + 902*v**2 - 1803*v**2. What is q(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j**3 + j. Let g be 3\/(30\/4) + 714\/(-10). Let p = -72 - g. Give k(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3+992589.5382\nAnswer: 992592.5382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1094841 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36987 + -36992. Which is the nearest to 3\/16? (a) o (b) 9.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11086618453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 7.94. Let x = -5.06 + b. Let h = 1.3 - 0.3. What is the nearest to h in 2\/5, -2, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111.708 plus 5?\nAnswer: 116.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*i = 28, -4*t - 3*i = 2*i + 14. Let b = 8 - t. Solve -k = 5*m + 29, -4*m + b = 3*k + 46 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*t = -3*h - 113*t + 14656, 0 = -2*h + 3*t + 9777. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -13167, -13163, -13159, -13155, -13151, -13147?\n\"Answer: 4*l - 13171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19123, 19122, 19121?\n\"Answer: -m + 19124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*v + 44312 = 53*v + 44540. What is w in 2*w - 18\/5*w**2 + 4\/5 - v*w**3 + 14\/5*w**4 = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 76 = -11*t, 674*a + 37 = 5*t + 675*a for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -10869.\nAnswer: -4347.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13783 divided by -179.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 518*q**2 + 24*q + 12419. Give b(-518).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 g when three letters picked without replacement from gppgggpgpppppgpggppg.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 2, 4, -4 in descending order.\nAnswer: 4, 2, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16952654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -418, -623?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + (-6 - (-2 + 4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 5496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*y**2 + 9*y + 52 + 29*y**2 - 39*y**2 - 2*y - 8*y to n + k*y**2 + t*y and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + c**2 - c + 1. Let r(w) = 80*w**3 - 60*w**2 + 60*w - 60. Determine -60*a(y) - r(y).\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 3. Let o = 495173\/12 - 41265. Which is smaller: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/612*17*-3*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1031549l in millilitres?\nAnswer: 103.1549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.59 * 0.03.\nAnswer: -0.0177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -36*k + 28*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 12:58 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-20)\/((-340)\/357) - -24037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3545376 to the power of 1\/2, to the nearest integer?\nAnswer: 1883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4032 and 3477348?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (68\/(-306))\/(-2*8\/6). Let l(f) be the second derivative of -g*f**4 - 1\/20*f**5 + 0 - f**2 + 1\/3*f**3 + 7*f. What is l(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1268428 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: Suppose 16*m - 14*m = 4. Suppose 2 = m*g - a, 0 = -4*g + 6*g - 5*a + 6. Suppose -7 = -g*c + 5. What is the remainder when 22 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*o + 15 + 6 = 0, 5*l - 5*o = 85. Suppose 47 + l = 5*t. Suppose -4255 = -t*y + 1013. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -9)*2\/2. Suppose -4*j = -4*u - 8 - 16, j = -2*u - i. What are the prime factors of ((-44)\/20)\/(1\/u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/35687 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 5, -10, -29, -52, -79?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence coi when three letters picked without replacement from ippioipipcpippip.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-260)\/(-78))\/(35\/84)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 5*t - 17, -2*t - 6 = -14. Let r(j) = j**3 + 5*j**2 + 5*j. Let u(p) = -3*p**2 - 3*p. Let x = -19635 - -19630. What is q*r(i) + x*u(i)?\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8*h - 8. Let w(t) = -t - 1. Determine 6*w(a) - x(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12295 + -8544. What are the prime factors of r?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 625706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 444 - 349. Suppose -15*i + 115 = -o. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51146244*g**2*i**2 + 11*g**2*r**2 - 69379*g*i**2*r**2 + 2613*g*i**2*r - 2*i**2 - r**2 wrt g.\nAnswer: -102292488*i**2 + 22*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*b*p + 450*b*q**2 + 2*b*q - b + 37*p*q**2 wrt p.\nAnswer: 9*b + 37*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*d = 7*v - 23, 14*d + 10*d - 23*d + 2*v - 1 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2 + 54\/26). Suppose -24 = -3*y - 3*g, -3*y - 13 = y - 5*g. Suppose 10 + 263 = y*m. Calculate the greatest common divisor of v and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, v: 4, z: 1, g: 2}. Give prob of sequence yyzv.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -390 + 635. Is q a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.19 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 244501 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14843*y + 14815*y - 44151*y + 14519*y.\nAnswer: 26*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*o - 92, -4*u - 32 = -2*o - 0*o. Let v = 57 - o. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 19*t - 18 - 15*t)*(0 + 1 + 1).\nAnswer: 8*t - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*p**4*r*y - 11595*p**3*r + 123*r*y + 33 wrt p.\nAnswer: -36*p**3*r*y - 34785*p**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399451993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjajjvjjajjvjajjjv. Give prob of picking 2 a and 1 v.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1546861, -1546492, -1546133, -1545790, -1545469, -1545176?\nAnswer: -1544917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -0.930863.\nAnswer: 7.446904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**5\/30 + i**4\/12 + 103*i**2\/2 - 61*i. Let k(x) be the first derivative of t(x). Suppose -2*p - p - 6 = 0. Calculate k(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77\/143254 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -86236, -0.089, -0.3 in descending order.\nAnswer: -0.089, -0.3, -86236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**4*p - 496*a**3*p**2 + 2*a**3 - 2*a**2*p**2 - 2*a**2*p + 347*a*p - 2*p**2 wrt a?\nAnswer: 24*a*p - 2976*p**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1109 - 2677 = 784*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 12 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76339.\nAnswer: 97, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 3, 2\/19, 3\/7, 6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (89 - 3) + (-5 - -1) + (75 - 101 - -20)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h**0*h))**24)**6*((h*h*h**(-1)*h)\/h)**(-38)\/(h**(-1\/2))**10 assuming h is positive.\nAnswer: h**111","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g - 3*x = -14*g, -5*g - 1 = -4*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-43)*l)\/l*l)\/(l*l\/(l\/((l**9*l)\/l))*l)*(l**6*l*l)**4 assuming l is positive.\nAnswer: l**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 816?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.295 - 1.095. Sort 106, -2, -1\/8, z in descending order.\nAnswer: 106, z, -1\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-37)\/(-7) - (-625)\/(-125). Let f = -2\/249 + 670\/747. Sort v, f, -0.7 in decreasing order.\nAnswer: f, v, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - 42)\/(((-6)\/(-9))\/(-2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 AM and 7:39 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 366643 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1907843?\nAnswer: 7, 272549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-84)\/12))\/39?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*c - 1541 + 3515 = 0 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 522, -468, -1882, -3720, -5982, -8668, -11778?\nAnswer: -15312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/72 of a week in minutes?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 0*w - 9*w**2 + 1\/14*w**7 + 0*w**6 - 5\/336*w**8 + 0 + 0*w**4 + 0*w**3 + 0*w**5. Factor v(c).\nAnswer: -5*c**4*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 - 16*f**2 - 71*f - 56.\nAnswer: -(f + 1)*(f + 7)*(f + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*x + f + 7, -22 = 2*x - 2*f. Let r be (-9 + 0)*x\/(-18). Is 8 a factor of r\/15 + (-830)\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 2362438?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 - -2.7. Let h = q + -3.6. What is the closest to -1\/2 in 1, h, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -5*o**3\/2 + 12*o**2 + 6*o. What are the prime factors of l(-15)?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 + 226 - 454 - 3*k**2 + 228.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -19 (b) -4 (c) -101 (d) -410\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 2*h**2 + 5*h - 5. Let m(o) = o**3 + o**2 + 5*o - 6. Let c(g) = 5*m(g) - 6*y(g). Calculate c(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 3*y**3 - 2*y**2)*(-2*y**2 - y + y) + 462*y**5 - 925*y**5 + 5 + 2*y**3 + 459*y**5.\nAnswer: -10*y**5 + 2*y**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-343116)\/50832*184\/18\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhyyyhhddhyhdyhhddy. Give prob of sequence ddyd.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = 117*h - 3549 + 743, -35*k = -4*h + 2*h - 37*k + 52 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1\/((-14)\/8))\/((-90)\/735*994\/5538)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 85.30321\nAnswer: 426.51605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -21*t + 30. Let o be n(26). Let y = o + 1052. What are the prime factors of y?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**3 - 4*q**3 - 2073 + 1029 + 1044.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2549101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 2946 - ((13 - 16) + 1\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -18*t + 36. Give c(-4).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of (95 + -5)\/((-72)\/(-1248))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3048?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 2. Suppose -n + 4*v - 2 = 0, 7*n + 2*v = 2*n - 10. Let o be g(n). Solve 0 = -o*s + 4*s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 664*z - 20 = -661*z, 5*p - 2*z + 5 = 30 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(5\/6)*z**26*z**(3\/5)\/(z*z**(5\/7)\/z*z) assuming z is positive.\nAnswer: z**(5401\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4011 not equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z + 89 = -23*z - t, -2*z + 33*t - 35*t = 54 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -385343 - -385070.5248. Let o = 74.4609 + x. Let t = o + 198. What is t rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 0*f**2 + 0*f**2 - f**2 - 2*f. Let x be h(-1). Solve r + 2*a = -0*r + 1, -r - 4*a - x = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k - 2. Let w be g(-7). Is (3\/w)\/((-3)\/8001) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*x = -14*x + 110 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-16)*(-2)\/(-2))\/(133\/14).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 452*g - 71861. Determine z(159).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, n: 3, x: 2, b: 8}. What is prob of picking 2 e and 1 n?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -68\/10128687 and -67\/20257374?\nAnswer: 20257374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/3 + 4 + -2. Suppose 2*k - h*k + 9 = 0. Solve -k*a + 7*a = -20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131096566?\nAnswer: 2, 1301, 50383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3151548937.\nAnswer: 109, 28913293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {t: 3, z: 2, f: 2, c: 1, s: 4, v: 6}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -6\/13 (b) 418 (c) 0.5 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-q - 4*q + 6*q)*(4 - 2 - 4) + 4*q + q + q)*(3*q + q**4 - 3*q).\nAnswer: 4*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r - 39. Let o be j(6). Let -39*d**o - d - 16 + 16*d**4 + 53*d - 12*d**2 - 25*d**3 = 0. What is d?\nAnswer: -1, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k - 1 + 6 - k + 2*k wrt k?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6))**29*u*u**(-2)*u\/(u*u**(-10))*u assuming u is positive.\nAnswer: u**(-164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 672 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1230\/29 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 667*f**5 + 1485*f**2 + 7411*f - 156 wrt f?\nAnswer: 13340*f**3 + 2970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 227 times 3?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 5 + -4 + (9 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*t + 345 - 345 to b*t + i and give b.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - (-81 - -141) - -113.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 121*u + 6. Let v(w) = -1060*w - 53. Let k(c) = 53*o(c) + 6*v(c). Let m(r) = -3*r**2 + 2*r**2 - 3 + 3. Give m(k(x)).\nAnswer: -2809*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31231255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, z: 4, g: 2, b: 2, n: 2}. What is prob of sequence gg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4\/3 + 40*f**3.\nAnswer: 2*f**3*(f + 60)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 516 and 30788?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10857 + -7806. Calculate the remainder when o is divided by 1517.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 66.30741 seconds?\nAnswer: 0.018418725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 1 + 1)*(-5*p - 1 + 4*p + 2) + 4*p**2 + p**2 - 6*p**2.\nAnswer: p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3902085 - 1047915 = 3*r. What is r rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/((-80410)\/(-258))*(-20)\/2.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/12)\/(4\/(-16)*-2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 10*w - 13*w + 13 = 0, 5*w = -5*s + 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3037238780?\nAnswer: 2, 5, 23, 43, 97, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 411, 3982, 13833, 33096, 64903, 112386, 178677, 266908?\nAnswer: 380211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2514700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**4\/12 + 3*d. Let l(t) = 3*t. Let j(n) = 3*n. Let b(k) = -3*j(k) + 4*l(k). Determine x(b(o)).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 - 45\/(-2). Let a(m) = -3 - d*m + 6 + 2. Is a(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -26 + 10 + 12 - -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 235760 and 422800?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + 1. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pyy when three letters picked without replacement from {p: 9, y: 11}.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 1581*v + 61679. What is z(-39)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z + 39. Let a be x(17). Suppose 4*q = -0*h + h - 5, -3*h = -2*q - a. What is the hundreds digit of h - (-5 - (157 + -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 1\/3*q**3 - 5 - q**2 + 0*q. Let z be b(-3). Solve -5*a - 5*d - z = 0, -5*d + 0*d = 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -8*r**3 - 131*r**2 + 96*r + 27. Determine q(-17).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107558223, -215116444, -322674665, -430232886, -537791107?\nAnswer: -645349328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -77 - -9c?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(-168)*3*-2*1\/2.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 11. Let i be (2 + -1)*(-2 + g). Let s = i + -1. Sort 5\/3, s, -3 in increasing order.\nAnswer: -3, s, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.70714 micrometers in kilometers?\nAnswer: 0.00000006970714","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 3*u + 9. Let x be v(-6). Let n = 3 - x. Solve 3*l + p = n, 0 = 4*l - 2*p - 2*p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -37 + 3 + -26 + -1.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 19. Suppose 2*n + 2*n = l. Let d = 0 + n. What is the greatest common factor of 36 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 49.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 11*r**2 - 15*r - 24. Let v be h(-10). What is the highest common divisor of 13 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 726 and 11?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 + 2.5. Let h = 1.36 + -5. Let z = h + -0.36. Which is the third smallest value? (a) z (b) y (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 5:57 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in centuries?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 - 188 - 2*s**3 + 131*s - 67*s - 62*s + s**2 to the form r*s + k*s**3 + l*s**2 + v and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.40063um to kilometers.\nAnswer: 0.00000000340063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 14*r. Let i(c) be the first derivative of -29 + 7\/3*c**3 + 0*c + 0*c**2. What is p(i(o))?\nAnswer: 98*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28 + 13 + 2*z + 5*z**2 + 14 to the form n + g*z + r*z**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1303 - 21?\nAnswer: -1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4\/x)\/x*x**0\/x)\/(x**(-3\/8)\/x*x*x*x**2) assuming x is positive.\nAnswer: x**(-13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 144*g + 60. Let k(o) = -5*o**2 - 12*o + 12. Let h be k(-4). Let u be q(h). Round u to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 - 23*q - 2*q + 2 + (2*q - q + 0*q)*(-1 - 2 + 5).\nAnswer: -23*q - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4412 - 4916 = 4*a. Let j be a\/2128 + 4\/(-14). Let x = j - -12\/19. What is the closest to 1\/2 in x, -0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/60*15\/(-18)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (27\/2 + 0)*(-40)\/(-15). Let h be -3 - ((13 - i) + 0\/(-2)). Let g(d) = 2*d - 1. Let f be g(3). Solve -j + f*j + h = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15760, 2, 4, -2 in descending order.\nAnswer: 15760, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 421*h + 281 = 2386. Suppose -3*u = -4*u + 21. Solve 2*v + 5*f - 2*f = h, -u = -4*v + 5*f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 47, 81, 105, 119, 123?\n\"Answer: -5*y**2 + 49*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4356, -4378, -4410, -4452, -4504, -4566?\nAnswer: -4638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -46, -71, -60, 5, 142?\n\"Answer: 3*b**3 - 46*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 33*s + 22. Let y be k(-3). Which is smaller: -76 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -75111673?\nAnswer: -75111683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 12*o**2 - 26*o**2 + 0*o**2 - 3.\nAnswer: -38*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 3*u**2 + 3*u - 4. Let m = -1 + 5. Suppose -456*i + 4162 = 695 - 2005. Calculate the lowest common multiple of i and p(m).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14376255689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 55137, 55136, 55135?\n\"Answer: -k + 55138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (4 + (-5*sqrt(126)\/sqrt(2) + 0)**2)*-1 + 2.\nAnswer: -1579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42711937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 5*d + 24, 5*w + 0*w = -d + 12. Solve w*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -158?\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/4)*n\/(n\/(n*n**37*n)*n*n) assuming n is positive.\nAnswer: n**(147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/227 and 79\/4.\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -3 + 8 + 0 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (90\/(-33))\/(-5) + 1498212\/(-22). Round i to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 3*k + 2. Let j be b(-3). Determine s so that 20*s**2 + j*s - 37*s**2 - s + 18*s**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9183768 millilitres?\nAnswer: 0.0009183768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3612706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2*y - 13. Let p be -3*(-6)\/((-54)\/(-33)). Is 4 a factor of w(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 4 = 2*n - 11, -23 = 9*h - 2*n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from nwbxxnwxwnnnnwdddn.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 + -9 - -8) + 9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8132028, -8132024, -8132020?\nAnswer: -8132016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 405125 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1670194782 and 821?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 608 divide 1476441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -18*q + 13*q + 27290, -21824 = -4*q + 4*u. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 * -1\nAnswer: -2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 - 189ccb?\nAnswer: -189cb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 89*x + 13. Let z(b) = 179*b + 24. Give -11*f(n) + 6*z(n).\nAnswer: 95*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 19452468 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: Calculate prob of picking 1 r, 2 w, and 1 z when four letters picked without replacement from {r: 4, z: 1, w: 6, h: 3}.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20366 by 565.\nAnswer: 20366\/565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, y: 1, w: 11, t: 1}. Give prob of picking 1 m, 1 y, and 1 t.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 340, 700, 998, 1186, 1216, 1040, 610?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11884691?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/360 and -7\/855.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**6\/420 - l**5\/105 - 3*l**2 + 4. Let y(t) be the second derivative of f(t). Determine v so that y(v) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*a**2 - 481*a**2 + 244*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 158 + 151. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -1. Suppose 0 = -7*n + 2*n - 3*j + 180, 108 = 3*n + 3*j. Calculate the highest common factor of n and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 14*p**3 - 17*p + 17. Let i(u) = u + 7. Let h be i(-13). Let d(a) = -5*a**3 + 6*a - 6. Give h*f(b) - 17*d(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331 is divided by 262.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.31344 to one decimal place.\nAnswer: 13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108743689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 5) to base 9\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 2. Let j be 8\/3*(-18)\/(-12). Let s(h) = -h - 2. Let i be 18\/8*(-4*14\/21 + 4). Give i*s(f) + j*p(f).\nAnswer: 5*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 22*q - 3224600 = 0. What is q rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 0*n - n)*(-n - 1 + 1) + (7*n + 7*n + 4*n)*(-n - 3*n + 6*n).\nAnswer: 37*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-253)\/616 - 2\/(-16). Which is the second biggest value? (a) r (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 2*p**3 - 2*p)*(0 + 11 - 5)*(14*p + 6*p - 22*p) as j*p + m*p**4 + g + q*p**2 + l*p**3 and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2082 = -48*w - 3807 - 435 for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*b = 24*b + 70. Solve -b = -8*m + m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**2 - 80*j + 45. Give b(-27).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113 - 41 = -6*y, 2*a = -2*a - 2*y - 36 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1844*z - 31971 - 10670 = 71687 for z.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25049 less than 25044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*x - 12 - 3, -k - 2*x = 12. Is 12 a factor of (-2 - k)*(4 - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2301 + 47?\nAnswer: -2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9 = 3. Let g = -704 - -708. What is the highest common divisor of h and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -11*d**2 + 4*d. Let p(g) = 12*g**2 - 3*g. Let o = -331 + 327. Calculate o*p(n) - 3*l(n).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9031 + -4610. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 389, 390, 391, 392?\nAnswer: 393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 0*l - 1\/72*l**5 + 0 - 55\/36*l**3 + 5\/12*l**4 + 13*l**2. Factor p(d).\nAnswer: -5*(d - 11)*(d - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1290 plus -1.61?\nAnswer: -1291.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-7 - -6)) + 5 - (-2 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -492 + 495. Factor 10*n**2 - 10*n**y + 5*n - 2*n**2 + 6*n**3 + 3*n + 4*n.\nAnswer: -4*n*(n - 3)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*p - 3 = -4, 5*l = -5*p + 35. Suppose 2 = m - 2*x, -2*m + l = -0*m + 3*x. Solve -9 = h + 4*t, 3*h + t + 7 = -m*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 19*m - 2. Let f be r(19). Let t(b) = 2*b**3 + 3*b**2 + 3*b + 3. Let z be t(-2). Is z\/(f\/(-332)*-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.3, -2\/3, -15, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1463492?\nAnswer: 2, 151, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4791060 times -5?\nAnswer: 23955300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243 + t - 3*t - 122 - 470.\nAnswer: -2*t - 835","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.168 + -72772.\nAnswer: -72771.832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + 7*d - 16. Let m be ((-4)\/(-8))\/((-1)\/48*-2). Let h be l(m). Let y(x) = 356 - h - 3*x. Let n(c) = 13*c**2. Determine n(y(i)).\nAnswer: 117*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 13*x + 72. Let b be 3\/(-6)*-20 - -6. Suppose 0 = -5*a - 9 + 34. Calculate the remainder when n(b) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -429.\nAnswer: -8\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.53621341\nAnswer: 2.68106705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2931 a factor of 640742091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(75) - -5*(sqrt(75) - (2*sqrt(75) - sqrt(75) - sqrt(75))))*5)**2 + (5*(sqrt(300) + 1) - (4 + sqrt(33)\/sqrt(44))).\nAnswer: 99*sqrt(3)\/2 + 2430001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 8 = 4*q + 147, 0 = 4*w - 5*q - 206. Let k = -39 + w. What is the highest common divisor of k and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.458 - 0.042. Which is the third biggest value? (a) 0.1 (b) k (c) 1\/9 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*o**2 - 88*o**2 - 20*o**2 + 159*o**2.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/9 - 1468*b\/9 - 16390\/9 = 0. What is b?\nAnswer: -11, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 = -12. Suppose -10 = 5*f, 3*n - 4*n - 8 = f. List the prime factors of (r\/9)\/(n\/27).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 + (-105 - -90) + 16?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 34*b - 22. Suppose 0 = 9*p - 6*p - 12. What is the remainder when q(p) is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + -47. What is the nearest to 1 in -1, q, -0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2118 + -2032. Calculate the remainder when 217 is divided by a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13616*h**4 + 13293*h**4 + 217 + 148 with respect to h.\nAnswer: -1292*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68580*r**3 + 27377*r**3 + 2235*r**3.\nAnswer: 98192*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**5 + 25*g**4\/4 + 40*g**3\/3 + 10*g**2 + 13. Factor o(d).\nAnswer: 5*d*(d + 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35715*i*v + 140892*v wrt i.\nAnswer: -35715*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = -w + 5*h, -3*w + 89 + 30 = 2*h. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 1, -20.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121970, -243975, -365980, -487985?\nAnswer: -609990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5321\/37247)\/(11\/(-7)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 4\/7*b**2 - 4\/7*b.\nAnswer: -4*b*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -8 - (46 + -54).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257, 516, 775, 1034, 1293?\nAnswer: 1552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 13) to base 8.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15589946 divided by 422?\nAnswer: 36943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 314762 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 12726.549644 to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 105378984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 - 257087?\nAnswer: -257073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -2.8. Let m = 1324.7 - 1323.7. What is the closest to m in 3, g, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 5 - (-266)\/126.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.09, 2, 12, 1, 38, -0.3, 0.01?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19800 + -11003. Does 12 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6778667 + -2.1124623. Let f = q + 2.79. Round f to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*m + 18*m - 12. Solve 0 = m*a + 5 - 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 174609, 349163, 523717, 698271, 872825?\nAnswer: 1047379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.19, 2.263, 5, 1?\nAnswer: 2.263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 895289\/175 - 5116. Find the common denominator of y and -7\/165.\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -467.6\nAnswer: 935.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250207 is divided by 12510.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 240107 to the power of 1\/2, to the nearest integer?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 3*c + 4*i - 28 = 0, -2*c + 2*i = 0. Suppose -c*v - 2*g = 0, -4*v + 2*g - 6 = g. Put -4, -2, 4, v in increasing order.\nAnswer: -4, -2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 + 22*j**2 - 28*j + 20. Let k(l) = -l**2 + l - 1. Let y(v) = -12*k(v) - w(v). Let y(a) = 0. What is a?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -32*h**2 - 6256*h - 3091. Give u(-195).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f**(1\/2))**50\/(f**(-3))**(-40) assuming f is positive.\nAnswer: f**55","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -299\/465 - -4\/93. Let g be 5\/6*3\/15. Which is the third smallest value? (a) m (b) g (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddohdhohddiddoddhio. What is prob of sequence iod?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183029 + -0.043.\nAnswer: 183028.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115 and 338307.\nAnswer: 1691535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 + 3*o**2 - 2*o + 1. Let b(p) = 5*p**3 - 540*p**2 - 15130*p + 15685. Let j(m) = b(m) - 5*k(m). Find v such that j(v) = 0.\nAnswer: -56, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of -493*u**6\/6 - 2*u**5\/5 + u**4\/2 - u**3\/3 - 19*u**2\/2 - 11*u - 5376. Find the third derivative of w(o) wrt o.\nAnswer: -29580*o**2 - 48*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(6) + sqrt(21))\/sqrt(3)*4 - (3 + -1 + sqrt(7) - sqrt(28)\/(sqrt(16)\/sqrt(4)))**2.\nAnswer: -4 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -42. Let o = 0.312 + 1.688. Let t = -2 + 3. What is the closest to t in j, o, 13?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 18 - 18 = 0. Suppose 4*a + u = 8*a. Solve -a*d + 18 = 3*v, -5*d + 3*v + 2 = 12 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4)*x)\/x)\/x**(-3\/8)*x**(2\/19)\/(x\/(x**(-1\/7)*x))*(x**(2\/7)*(x\/((x\/(x*x\/x**0))\/x))\/x)\/(x\/(x*x\/(x**(-4\/7)*x)*x)*x*x**(6\/7)) assuming x is positive.\nAnswer: x**(-1769\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) 0 (b) 4 (c) -1\/176 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (4\/(-6))\/(2\/(-15)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100202120222 - -2?\nAnswer: -100202120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e4c49 - -2?\nAnswer: -2e4c47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 - -160141236?\nAnswer: 160141212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17324135 is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.75 + -6948.052.\nAnswer: -6947.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(27)*-3 + -3)**2.\nAnswer: 54*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*(3 + (sqrt(612)*2*5 - sqrt(612))))**2.\nAnswer: 20736*sqrt(17) + 3173184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a factor of 407925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 265*m**2 - 1057*m - 20. Determine r(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - o)*(-2 + 0 + 4 + (4 - 2 + 1)*(-1 + 3 + 0)).\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 16125624 to the power of 1\/2, to the nearest integer?\nAnswer: 4016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((244\/(-102))\/(-1) - (-28)\/(-19992)*42) + 12.\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 3*b = 10, -273*b + 275*b + 15 = -19*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513222?\nAnswer: 2, 3, 23, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {e: 3, q: 3, n: 1, o: 1, r: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from qiivbitvivqriqq?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 6 = -2*s. Let r(f) = 17*f - 14. Calculate the remainder when r(3) is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1515*x - 2135 - 44224 = 8181 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 0.31 (c) -10\/11 (d) -2 (e) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 64*t - 6. Let q(b) = -182*b + 17. Let d(o) = 17*a(o) + 6*q(o). Let r(i) = 1 - 9*i - 1. Determine d(r(u)).\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 1. Suppose -m + 10 = 2*c + c, -3*m = -5*c - 16. What is t(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10492 and 172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*q + 2336 = 1760 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -344 + 199. Let z = u - -141. What is the second biggest value in -1.6, 0.1, z?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14300\/(-40))\/(-11) + -34?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 198490453 or 1786414078\/9?\nAnswer: 1786414078\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 388 + -300. Let f(q) = -q**3 - 2*q**2 - 4*q - 4. Let j be f(-4). Calculate the greatest common factor of u and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 28611 = -12*d. Let s = d - -878. Suppose -2*q = 139 - s. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9305121 micrograms to kilograms.\nAnswer: 0.0000000009305121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42\/12*(-4)\/(-7). Suppose -4*w + 16 = 4*d, -5*w + d + 44 = -c*d. What is the remainder when 17 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**2 - 3231*a + 25656 = 0. Calculate a.\nAnswer: 8, 1069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by -7?\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8.136 + 9.9574. Round b to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.33 and -34?\nAnswer: -11.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 - (86 - 90)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13509957 rounded to the nearest 100000?\nAnswer: -13500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + -9 + 22)\/(-2). What is the nearest to 0 in v, 1\/2627, -4?\nAnswer: 1\/2627","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -893 bigger than -65265\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**4 - 630985*b**3 - 1577452*b**2 - 630980*b = 0.\nAnswer: -315490, -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/2 bigger than -5466912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3*(-2)\/6)\/7. Which is smaller: x or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00021695715 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4 + v + 4 - 2. Let z be p(5). Calculate the highest common divisor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 39*f + 1709. Determine o(-45).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 21. Suppose z - 4*o + 15 = 1, 2*o = 2*z + 4. Let b(q) = 5*q + q + q**z + q. Give b(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 317 - 124. Round f to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1035\/828)\/((-3)\/(-4))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-105)\/(-14) + 2\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.84 - 0.6. Let f = 14.76 + i. Let y = -15.1 + f. Which is smaller: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 8. Suppose v = -3*j - j + 32. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/27)\/((-1)\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 3 + -3 - (-155 - -46 - -121).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -177748 (base 12) in base 10?\nAnswer: -407144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-14*1*27\/(-54).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**(-2\/11)*w))\/w**(-3\/2)*(w*(w*(w**(1\/27)\/w)\/w*w)\/w)\/((w\/(w*w**(-6\/11)))\/w) assuming w is positive.\nAnswer: w**(1885\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/8 and ((-4)\/(-12))\/((-4)\/68).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 23*l**2 - 25 - 36 - 26 - 14*l**2.\nAnswer: -37*l**2 - 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w + 6*w**4 + 5*w + 21*w**4 + 3*w**2 - 9*w + 5*w**4 in the form z + u*w**3 + p*w**4 + h*w**2 + x*w and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 859032 and 1212985?\nAnswer: 3977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fj when two letters picked without replacement from {j: 11, f: 3}?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 7:26 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 8 = -18. Suppose y = u*w + 6*y - 180, 0 = -4*w + 3*y + 144. Round w to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaagaaagtgaggaaagaa. What is prob of sequence gga?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, f: 3, l: 5, r: 1, m: 8}. What is prob of sequence jf?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -5*o**3 - 41*o**2 - 36*o + 18. Calculate p(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n**2 + 194*n - 48. Let i be m(-24). What is the greatest common factor of 224 and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -6) + -9 - -6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 x when three letters picked without replacement from {r: 4, x: 1, y: 4, d: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14248 and 2444?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301995307.\nAnswer: 2339, 129113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (44 - 36) + 20 + 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0106521383 rounded to four decimal places?\nAnswer: 0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1132 is divided by 3 + (-138)\/(-21) + (-8)\/14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 393 and 3?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 10 - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -2161fca?\nAnswer: -2161fca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113295 - 68678. 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 -1321 - 0?\nAnswer: -1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*h = -4*h - 9275. What is the remainder when h is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-5))\/(88\/(-33))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1104 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 + -33. Suppose -i = -5*z + 1, f - 5*z + 36 = 0. Let g be 6\/9 + (-4522)\/f. Calculate the highest common factor of 24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -798\/11 + 2372\/33. What is the third biggest value in -10, t, -1\/9?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 30. Suppose -l*u - 22 = -2. Is 514\/u*10\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2838 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1953 is divided by 649.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*y**2 + 2902*y**3 + 116*y**2 - 2900*y**3 - 2*y + 2*y + y**3 + (3 - 2*y - 3)*(4*y**2 + 2*y**2 - 4*y**2).\nAnswer: -y**3 + 106*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4036781 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: Suppose 412*u - 417*u + 240 = 0. Let x be 3630\/u*-2 - (-4)\/16. Is x >= -152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 296457100?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0062 times 207?\nAnswer: 1.2834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001111111100011 (base 2) in base 9?\nAnswer: 62128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c. Let d be x(0). Suppose 56 = 2*q - d*q. Let h(w) = 17*w + 983. Let o be h(-43). What is the highest common factor of q and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1291854 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 6*c**2 - 21*c - 2*c**2 + 41*c - 3. Let h be z(-5). Sort 2, -5\/2, 0.01, h.\nAnswer: h, -5\/2, 0.01, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.42662 - 473815.\nAnswer: -473813.57338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u**4\/2 - 18611*u**3\/2 + 39927*u**2 - 47930*u + 10652 = 0 for u.\nAnswer: -2663, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 346\/30*88\/(-232) + 4. Let s = c + 7\/29. Is -3 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.076 and 0.3?\nAnswer: 0.0228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -417629 + 831040. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 344\/1720*(10\/(-12))\/(2\/6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(35\/30) + (-11)\/(-77)*-10576. Is i greater than -4529\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3236267 to the nearest integer?\nAnswer: 1799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 0*z + 21\/4*z**4 - 69 + 0*z**2 - 85\/3*z**3. What is the third derivative of l(s) wrt s?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-8) + (-22)\/(-80). Let n be 2\/3*1\/4. What is the second smallest value in 5, n, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z**2 + 2*z - 3. Suppose -5*o = 1 - 16. Suppose o*u = h - 10, 0 = 2*u + h + 10. Is m(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 161240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63.53 - -63.529997358. What is i rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1100 - 746. Find the third derivative of 41*q**2 + 354 - 20*q**5 - m wrt q.\nAnswer: -1200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 492\/96 + 10\/(-2)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 710.2506 + 0.5494. Round o to the nearest ten.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19178 + -19148.974. Let p = x + -29. What is p rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 9*f - 5. Let l be n(-11). Calculate the highest common factor of l and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 3. Let r(f) = f + 2. Let u(b) = -2*h(b) - 3*r(b). Let d(v) = 5*v. Let i(c) = -2*d(c) + 9*u(c). Calculate i(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by -291.\nAnswer: -11\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5134 = -5*c - b, c + 178 - 1210 = 5*b. Calculate the remainder when c is divided by 82.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**6\/180 + o**4\/12 - o**3\/6 - o. Let b(k) be the second derivative of n(k). Find m, given that b(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/21)\/((-20)\/15). Is 5\/16 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 7 - 6 - 129*m**2 - 142*m**2 to the form g + j*m**2 + z*m and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 798 (base 16) in base 11?\nAnswer: 1508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lnlllltntlxqqtt. What is prob of sequence ntqq?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 0 + (-15 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, i: 4}. What is prob of picking 2 i and 1 q?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-10) + 2\/(-5). Let k(h) = 52*h + 2. Let u be k(3). Suppose 2*f - u = -s*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -20\/11?\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 13*w**2 + 42*w. Let j be q(6). Solve j = -5*z + 6 - 11 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a century in decades?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/50)\/((((-10)\/2)\/15)\/1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1574 + 1562.27. Let p = 12 + -1. Let u = x + p. What is u rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/10205 and -163\/4188132.\nAnswer: 20940660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1947?\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -s**2 - 2547413*s - 10032228 wrt s?\nAnswer: -2*s - 2547413","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255 is divided by 91.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -33 + (4 - -13) + 1 + -94 + -6.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 426*o + 5. Let g be y(0). Solve q + x = -4, -g*x + 0*x - 26 = -q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/10 of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 699 = c - 5*f, 0 = -5*c + 4*f + 884. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(396) - ((1 + sqrt(396) - sqrt(396)) + sqrt(396))**2 - sqrt(11) - (-2*sqrt(539))**2.\nAnswer: -2553 - 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -18\/11 (b) 14 (c) -1 (d) 9\/4 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eooooeeeeeoe?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17753784 or -17753788?\nAnswer: -17753784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1))**44\/(p*p*p**(3\/2)*p*p**(-3\/14)) assuming p is positive.\nAnswer: p**(-338\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.45387867 to two dps.\nAnswer: -1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of c**4\/3 + 10*c**3\/3 - 28*c**2 + 132*c. Find f such that j(f) = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1158 in -3, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001331 rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*j - 3*o, 7*j = 2*j - o - 27 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m + 4 - 3 + 73*m**2 - 70*m**2 + 2 - m**3 + m**4 as x*m**3 + t + f*m + h*m**4 + a*m**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194, -400, -618, -848, -1090?\nAnswer: -1344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 87201.11ml in litres?\nAnswer: 87.20111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 39895601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 96721.4 years in months?\nAnswer: 1160656.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = y - 2. Suppose -2*w + y = 2*a, -7*a + 2*a = -25. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 19) + 27 - (1 + -3 + 15)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 3892*y - 113 - 3890*y + 230 - 115. Let h be (-1)\/(-4) - 90\/8. Give t(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 49a - -b9?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.68 - -494.68. Let v = i - 491.999999037. What is v rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 988542, 1976983, 2965424?\nAnswer: 3953865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 33*l - 140. What is b(28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -1448*n + 550241. Let d be s(380). Let r be 0 - 3 - (-1 + 0). Let i = -2 - r. Sort i, d, -28 in descending order.\nAnswer: d, i, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 0) + (-642)\/3. Let f = o + 589. Suppose 0 = 10*t - 4*t - f. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 15*i. Calculate w(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43290 and 200980?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5631*h - 737666. Give v(-131).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -56*i**2 - 334*i + 18. Calculate h(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - -2. Solve -2*a**2 - 34*a - 19*a**2 + p*a - 3 - 3 = 0 for a.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*g + 4*g + 120. Solve -1 = -2*s - i, 3*i - g = -i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/13)\/(230\/(-276)). What is the closest to 1\/4 in s, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1874234*k**3*t**3 + 3*k**2*t**2 - 81*k**2 + t**3 - 420*t**2 wrt k.\nAnswer: 11245404*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 30*o + 167. Determine d(20).\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1834302?\nAnswer: 2, 3, 305717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(4*v**2 + 0*v**2 + 0*v**2)*(0 + v + 0) + 3 - 4*v**3 - 3.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 21*n**2 - 17*n - 28. Let w(a) = -5*a**2 + 4*a + 7. Calculate -2*v(u) - 9*w(u).\nAnswer: 3*u**2 - 2*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*z + 455240 + 250202 = 0. Is (9\/6)\/(8 + 152525\/z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3683 + 829 = 4*x, -x + 1104 = 5*i. Which is smaller: 1136 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from {l: 3, v: 6, o: 3, w: 2, y: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8597 + -7547. Calculate the highest common divisor of q and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**4\/b)\/b**(-5)*(b**(-1\/5)\/b)\/b**(-2\/3))**(-19) assuming b is positive.\nAnswer: b**(-2128\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -248 + -189. Let a = r + 446. Let m = -2014\/9 - -224. What is the third biggest value in -2, a, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 11:10 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((-865)\/85 + 4 + 10)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 j when three letters picked without replacement from {c: 1, v: 3, q: 2, j: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4859 divided by 32774\nAnswer: -4859\/32774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95 - -93. Is q at most as big as -57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10238, 10222, 10200, 10172, 10138, 10098, 10052?\n\"Answer: -3*c**2 - 7*c + 10248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/12*8)\/(3325\/159600)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*b + 36, 0*t - 2*t + 2*b = -48. What is the greatest common divisor of 220 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - p**2 - p + 5. What is g(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 25*l**2 - 48*l - 93. Let m be s(25). Is -1293 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**7\/2520 - i**6\/720 - i**5\/40 - i**4\/4 - i. Let y(b) be the third derivative of t(b). What are the prime factors of y(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*y = 6*y - 11*y + 44087133. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 13*q**2 - 211*q - 162. Give i(16).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/21 - 52\/105. Which is the biggest value? (a) 3\/5 (b) 1\/3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*c + 3576, -7*c + 3*r = -5*c - 2380. Is 30 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44028)\/1692 - 6 - -32?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**5\/15 + g**2. Let s = -44 + 39. Let n(h) = -6*h + 5. Let a(j) = 10*j - 8. Let z(b) = s*a(b) - 8*n(b). Calculate z(f(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, h: 2, g: 3, y: 1, c: 5}. Give prob of sequence zyz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + 1*sqrt(637))*-1*-4 + (1 + sqrt(325) + 2 - (sqrt(325)*-2 + 2)))**2.\nAnswer: 142*sqrt(13) + 65534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 7. Let y(p) = -5*p**2 - 8*p - 1. Let g(l) = -6*l**2 - 9*l - 1. Let q(o) = -6*g(o) + 7*y(o). What is the remainder when 26 is divided by q(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3254*t**4 + 46305*t**2 + 46647319?\nAnswer: -13016*t**3 + 92610*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 14*g - 1. What is the remainder when j(13) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23100319?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24715342?\nAnswer: 2, 307, 40253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 44577 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17471*n**3 - 5591*n**2 wrt n?\nAnswer: 104826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 233\/2060?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 4*u - 60. What is the smallest common multiple of ((-712)\/40 - -7)\/(1\/u) and 16?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/((-4)\/(-2)) + 5. Let s be 2 - q - (3 + -80). Let c = s + -44. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 5*z**2 + 45*z - 144. What is r(5)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 6*o**2 + o - 7. Calculate u(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 + 18*f - 12. Let v be g(17). Let h = 9 + -6. Solve -v*l - 3*j + 35 = 0, -h*l - j = -3*j - 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 5. Let c be m(0). Let f(g) be the second derivative of g**3\/3 - 3*g**2 + 5*g. Let i be f(c). Solve i*d = 4*s, -2*d = 2*s - 0*s - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 51?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 823 = -2*m, 5*b - 905 + 75 = -5*m. What is the highest common factor of b and 605?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32554 divided by -82\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (1 + -2)) + -418 + 436?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 1. Let n(b) = 3*b + 2. Let d(p) = -6*n(p) + 11*z(p). Let k be d(1). Let r = 11 + k. Solve -4*u + 5*i + 31 = 0, -4*i - 18 = -r*u - 2*i for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of -j**3\/3 - 2*j**2 - 4*j. What is the remainder when 14 is divided by x(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -5*u - 4*d - 17, 2*u + 4*d = 70. Calculate the remainder when 57 is divided by u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**15)\/(((d*d\/((d*d\/(d*d**(-40)*d))\/d))\/d*d)\/d))\/(d**(-4\/11)\/(d*(d*d*d*d\/d**(-22)*d)\/d)))**(-17) assuming d is positive.\nAnswer: d**(-15215\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 10.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 9*f**3 + 6*f**2 + 6*f + 6. Let g = -334 - -329. Let i(y) = 10*y**3 + 5*y**2 + 5*y + 5. Determine g*l(c) + 6*i(c).\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9*p**2 - 5*p + 5. Let k(r) = 3*r. Let s be k(-1). Let d = -60 + 65. Let q(m) = -5*m**2 - 3*m + 3. What is d*q(b) + s*v(b)?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - -2.95. Let m(d) = 2*d**3 + 236*d**2 - 202*d + 4290. Let v be m(-119). Which is the biggest value? (a) -0.2 (b) o (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 1.6\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -180621, -180620, -180619, -180618, -180617?\n\"Answer: o - 180622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4808.5*-0.0147.\nAnswer: 70.68495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (3 - 3) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -4*k**3\/3 - 5*k**2\/2 - 4*k - 19. Let l be i(-1). Put 0, -5, l in increasing order.\nAnswer: -5, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -4*p - 24. What is the smallest common multiple of p and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2176574*z**4 - 4074482*z.\nAnswer: -26118888*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 493 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*f = 16, -5*s + f + 26 = -23. What is the highest common factor of 80 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2325, -2308, -2293, -2280?\n\"Answer: -p**2 + 20*p - 2344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33152?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.5 - 17004.44.\nAnswer: -16990.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 2*q + 18 = 0, 0 = -3*o + o - 2*q + 14. Suppose 4*n - 34 = o*n. Solve 10 = -22*m + n*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (81\/12)\/(57\/2128) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -120, -129, -132?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + 17 + -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5967*h + 53740. Determine v(-9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/1 - 168\/16 and 181\/66 + (-4)\/12?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16959*r = 16982*r - 1633. What is the remainder when 1436 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1072125 divided by 214425\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -175221451, -175221456, -175221465, -175221478, -175221495, -175221516, -175221541?\n\"Answer: -2*d**2 + d - 175221450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 a when three letters picked without replacement from {b: 4, e: 5, a: 3, w: 1}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-2 - (-1 + 0)). Let x(z) = z + j*z + 5*z. Let i = -4 + 5. Calculate x(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvddmvdddvvdvvm. Give prob of sequence dvmv.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57271906 + 78086.4.\nAnswer: -57193819.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*z = 3006 + 2113 + 3363 - 9682 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 741 + -684. What is the remainder when 110 is divided by q?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 2*b**3\/3 + 5*b. Let k be z(1). Suppose -i - 60 = -k*i. What is the remainder when 58 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 g when two letters picked without replacement from {n: 1, h: 2, x: 1, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/14*6328\/678 - 26?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s - 3*s)*(2*s - 6*s + 0*s + (10 - 3 + 3)*(-s + 5*s - 5*s)).\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(3*p**2 - 2*p**2 - 2*p**2) + 2*p**2 - 3*p + 3*p + p**2 + 0*p**2 - 3*p**2 + 2*p**2 - p**2 + 0*p**2 - 4*p**2 + 4*p**2 + 4*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227, 504, 867, 1322, 1875, 2532?\nAnswer: 3299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53\/4? (a) 5 (b) 0.09 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/64*1820\/35?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 301 = -18*k - 293. Is k bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 32*f + 10.\nAnswer: 32*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -1. Let t = -6 + r. Suppose -t*h - 320 = -13*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/2 + 0\/1. Let f be (-12)\/(-10)*(-10 + g). Let h = 10 + f. Sort 4, h, -4 in increasing order.\nAnswer: -4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0 (c) 2.2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69112?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 18*o + 15099. Is 29 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10, x: 9}. What is prob of picking 2 x and 1 b?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 359309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*v + 533 = -84 - 121. Let l = -4 + 4.1. What is the second biggest value in v, -2\/7, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2539274 + 3.\nAnswer: 3.2539274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - 5*h + 40, -4*o - 3*h - 4 + 0 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 60\/(-28) - (-1)\/7. Let o(u) = 4*u**2 + 4*u + 2. Does 10 divide o(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-8)*(-24)\/15.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52258 = -6*a - 23*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5985 is divided by 2986.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*m - 78*m = -142*m - 903 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 390*o**2. Let s(p) = -17*p**2. Calculate -4*g(y) - 91*s(y).\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 80*w - 84*w + 62 - 46 + 165*w.\nAnswer: w + 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7181*c + 18967 = 276518 + 268009 - 30071 for c.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -390.6045 - -3.0145. Let d = w - -384. Let v = d - -1.22. Round v to one decimal place.\nAnswer: -2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627 is divided by 123?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9855 is divided by 3274?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -81*g - 3*g**3 + 15*g**2 - 1 - 9*g**2 + 73*g + 1 + 3. Determine b(3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 89 - (-4 + 4 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16458*q = -16441*q + 357 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 308 + 113 = 0. Let b be -2*4\/((-8)\/x). Let v be 39\/((-50)\/(-75)*3\/2). Calculate the highest common factor of b and v.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221207826 = -331*c + 152732473. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q - 40. Let x(t) = 14*t. Determine r(x(s)).\nAnswer: -28*s - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1167730 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 5932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1, -4 in ascending order.\nAnswer: -4, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 59021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 184 and 920?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, 638, -15 in descending order.\nAnswer: 638, 110, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3 = -167. Suppose 0 = -3*r - 4*t + n, -5*t + 14 = 3*r - 4*r. Calculate the lowest common multiple of 20 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4796 is divided by 2374?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3030312002 (base 4) to base 3\nAnswer: -1120121221122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 6*w - 16 = 0. Let a(u) = 4*u - 2. Let f be a(w). What is the greatest common divisor of 30 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86296 and 24472?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 3:12 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s + 13*s = -133*l + 130*l - 12, 0*l + 15 = -0*l + 5*s for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j + 28. Let o be a(5). Sort 0, -4, o in descending order.\nAnswer: o, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 519.9747 from -36623.\nAnswer: -37142.9747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**2 + 4*m**2 - 3*m**2)*(-56 - 39 - 99) + 3*m**2 - 3*m**2 + m**2 as z*m**2 + s*m + f and give z.\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a + 4. Let u(g) = g**3 + 6*g**2 + 2*g - 4. Let y be u(-5). Let r = 4 - y. Is i(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -22*n + 756. Calculate the lowest common multiple of 1016 and t(34).\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619900876 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9575.962 kilograms in nanograms?\nAnswer: 9575962000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-65) + (-74)\/(-26). Solve 1 + d = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = y - 1818, -3*u - 5*y + 739 = -343. What is u rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*v**2 + 65*v - 81 wrt v.\nAnswer: 4*v + 65","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5203 + 5299. Calculate the greatest common factor of i and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22143142 + -3?\nAnswer: -22143200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2 - l**3 - l + 3*l**2 - 3*l**2 - 1. Let o be m(2). Solve b - 1 = o for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 1 - ((2 - 6) + 2). Let b be -1 + (3 - (-2 - 0)). Suppose -b*o - 68 = -4*z, 5*z - 7*o + a*o - 88 = 0. Solve 3*y = -y - z for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -87. Let w = 111 - c. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 8.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 17*r - 1628922 + 1629034, 2*c - 3*r = 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3251 (base 6) in base 3?\nAnswer: 1000211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) 2\/5 (c) 3 (d) -0.1 (e) 10 (f) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6633 + 52882. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 8:35 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -41*b - 13 + 13 - b**2 + 41*b. Let s(w) = 3*w - 23. Determine s(z(q)).\nAnswer: -3*q**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*r**3 - 71*r**2 - 77.\nAnswer: 12*r**2 - 142*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157, 655, 1495, 2683, 4225, 6127, 8395?\nAnswer: 11035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - -109. What is the greatest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -176.17 + 177. Let t = -0.633 - 8.297. Let f = t + j. Round f to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.098 - -0.0979981. What is j rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**5\/105 - 2*r**4\/21 - 8*r**3\/21 - 4*r**2 - 12*r. Let b(g) be the first derivative of m(g). Factor b(p).\nAnswer: -4*(p + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 7*y**2 + 397*y + 1566. Let m be d(-4). What is the highest common factor of 342 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7931495ml?\nAnswer: 0.0007931495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0.3, -0.084?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {l: 2, x: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -211 - 114. Let b = x - -325.000625. What is b rounded to 5 dps?\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**3\/6 + 7*k**2\/2 + 25*k + 27. Let p(t) be the first derivative of h(t). Give p(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/(-15))\/((-66)\/(-220)). Solve -4 = -l*r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 88*m - 429. Let z be i(5). Suppose -4*x = -2*q, 3*x = x + 4*q - 6. Solve -z*h + 12*h = x for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {y: 3, m: 1, l: 3, o: 3, u: 7, h: 2}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 23. Let r be (-2)\/(-9) - 50\/w. Suppose p - 10 = -4*l, r*p - 2*p = 2. Is l at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3.134 (b) -1 (c) 0.01 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 736506 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 362512887 - -5?\nAnswer: 362512892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/5 and 51 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.2 (b) 136 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11936 and 5408?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 0 + 0*o**3 + 2\/11*o**2 + 0*o - 2\/11*o**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 5:46 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooeqeeoooooooooeoqe. Give prob of picking 2 e and 1 o.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-159)\/(-231) + 108\/(-198).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25551682981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1311*i + 478*i - 28322 = 0 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 220 and 0.05?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242, 515, 778, 1031, 1274?\nAnswer: 1507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -61\/171832 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4414, 8819, 13218, 17611, 21998, 26379, 30754?\nAnswer: 35123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 35\/(-2) + 1\/(-2). Let v be 6\/j*9\/(-1). Suppose 2*u - v - 9 = 0. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10565 - -5?\nAnswer: -10560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(28\/(-284)) - 10.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26817672671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 86194755669.\nAnswer: 86194755668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5352*b + 2795 wrt b?\nAnswer: 5352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + -3*(-3 + sqrt(720))**2 + 3*(-1 + sqrt(720))**2.\nAnswer: -24 + 156*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.1 (b) -70 (c) 3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n - 30 - 30 - n**2 + 58 - 192*n**3 - 177*n**3. Is b(-1) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 145287, 145324, 145361, 145398, 145435?\n\"Answer: 37*d + 145250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19241641, -2, -4 in decreasing order.\nAnswer: -2, -4, -19241641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, t: 2, e: 1, p: 2, y: 1, w: 2}. What is prob of picking 1 e and 1 t?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175 by 447.\nAnswer: 175\/447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k = -12 - 80 - 158 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**8*b*b**(-2\/39)*(b**(3\/2))**(-2\/61) assuming b is positive.\nAnswer: b**(21172\/2379)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -894 - 874294*s**2 + 4192 + 878096*s**2 wrt s.\nAnswer: 7604*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/59)\/o)\/o*(o\/((o\/o**2)\/o))\/o)\/((o**(-23)\/o)\/o)**(9\/5))**(2\/5) assuming o is positive.\nAnswer: o**(5314\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 4 (b) -5 (c) 0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300671, -1202702, -2706085, -4810820, -7516907?\nAnswer: -10824346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4618.93 - -80.07. Let b = o + -4740.49. Let r = b - -1.09. Round r to 0 dps.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x + 2*a + 4, 21*x + 4*a + 3 = 22*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80318 by 1.\nAnswer: 80318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.165, -0.014, 1\/6, 2\/9, -2\/11 in descending order.\nAnswer: 2\/9, 1\/6, 0.165, -0.014, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 967, 2036, 3203, 4468, 5831?\nAnswer: 7292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 17*z + 11. Let i(u) = 11 + 14 + 25 + 11 - 67 - 8*u. Determine -11*i(w) - 6*q(w).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(1\/((396\/(-12))\/(-2244)))\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 34 = 49 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -765.37 to the nearest integer.\nAnswer: -765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205 (base 8) to base 13.\nAnswer: a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -12*i**2 + 1. Let u(a) = 15*a**2. Let c(o) = -4*l(o) - 3*u(o). Let y(v) = -6*v**2 + 9. Calculate -13*c(t) - 6*y(t).\nAnswer: -3*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110102222 + 10?\nAnswer: 1110110002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 23 + 29. Let t = -13 + q. Suppose 6*w = -t*w + 12. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*t*y**2 - 60*t*y - 3*t - 229*y**2 - y - 2 wrt y?\nAnswer: -48*t - 458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9974 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -876 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**4\/12 - s**3\/6 - 7*s**2. Let c be q(-4). Is c greater than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.350268 hours?\nAnswer: 1260964800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/3, -25\/4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -94124158*d**2 + 164463140 wrt d?\nAnswer: -188248316*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.996 + -1.004. Let y be 5\/((-105)\/54) + (-15)\/(-5). Which is the closest to j? (a) 2\/15 (b) 0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, c: 3, s: 3, k: 2, a: 1, g: 2}. What is prob of picking 2 c and 1 s?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 6251?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 16*x + 92. Let j be a(23). Let f = -162 + j. Let n(q) = q + 6. Let b(w) = 14*w + 91. What is f*n(h) - 6*b(h)?\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 2:37 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/46, 2, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*80.3.\nAnswer: -240.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -319475, 2, 1, -3, -4.\nAnswer: -319475, -5, -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001772278 rounded to seven dps?\nAnswer: 0.0001772","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3296 - 3295.9. What is the closest to -2 in s, -1, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -30, 44, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -7 - (-15 - -28).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-18)\/18)\/((-4)\/(-1)))\/(2\/(-40)). Let j(h) be the first derivative of 3\/4*h**4 + 21\/2*h**2 - 9*h + 31 - o*h**3. Factor j(f).\nAnswer: 3*(f - 3)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -5.6061\nAnswer: 11.2122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*f**2 + 11*f**2 + 16*f**2)*((-2 - 1 + 2)*(2*f + 0*f - f) + 0*f + 2*f - 3*f + 0*f + f - 3*f + 3*f - 5*f - f) as u*f**3 + m*f**2 + j + w*f and give u.\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43312308.\nAnswer: 2, 3, 13, 277643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*n + 3*p - 2*p, 5*p + 35 = -5*n. Is -2 at most as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24402215 + -10?\nAnswer: 24402205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g + 17. Let s(d) = d - 6. Let z(n) = -7*s(n) - 2*y(n). Give z(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52462 - -4614?\nAnswer: -45646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114 and 315571?\nAnswer: 1893426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 128461601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - g - 15 = 0, -5*l - 12 = -6*l + 3*l + g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1791*f - 624 = 3492*f - 1740*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**7\/105 - q**6\/60 + q**5\/30 + q**4\/12 + 3*q**2 - 11. Let o(b) be the second derivative of d(b). What is a in o(a) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-7)\/2))\/((-8)\/24*8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44 in -1\/4, 5.7, -5, -14?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5*g + 8, 4*g = -4*i - 13 - 67. Let a = -16 - i. Let m(o) = -6*o - 15. Let d(n) = -n - 2. Give a*m(t) - 15*d(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10556.\nAnswer: 2, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -2. Let s be (-2)\/(-2) + -1 + 1. Let j(x) = 2*x**2 - 1. Let h be j(s). Put n, -5, h in decreasing order.\nAnswer: n, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.13269 - 18.12. What is i rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3480.0705 to the nearest ten.\nAnswer: -3480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 + 118. What is the smallest value in -1\/6, k, 2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w**3 - 12*w**2 + 12*w - 5. Give j(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6475818*p**3 + 12182285*p**2 wrt p?\nAnswer: 38854908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 37 = -3*o, o + 21*n = 22*n + 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1746835510 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 301.979 litres?\nAnswer: 301979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.079625 and -29.72.\nAnswer: -29.799625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**3 + 5*u**2 + 5*u + 5. Let q(p) be the first derivative of p**4 - 4*p**3\/3 - 2*p**2 - 4*p + 346. What is -4*b(z) - 5*q(z)?\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 - 553b?\nAnswer: -5568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n + 5. Let f be k(-4). Let v = -32\/3 - f. Which is greater: -0.5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 4.1 (c) 0.5 (d) -1\/4182\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -104662 + 39539. Let d = -40123 - b. What is d rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 4*b - 24, 84*b - 82*b = u + 4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -3. Let b(l) = l**3 + 6*l**2 - 7*l + 4. Let o be b(-7). Calculate the remainder when t is divided by (-5 - -1)*(o + -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**7\/70 - u**5\/60 + 113*u**3\/2 + 91*u**2 - 2. Differentiate r(d) with respect to d.\nAnswer: -12*d**3 - 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 46*g**2 - 98*g + 80. Determine d(48).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmtvmmz. What is prob of picking 2 v and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 246\/(-287)*2419753\/(-3). Suppose -948716 = -2*q + i, 5*q = 4*q - 4*i + 474358. Let w = q - c. Round w to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 6. What is the nearest to 0.1 in 3\/8, -3, m?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1491, -4 in descending order.\nAnswer: -3, -4, -1491","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160013 (base 16) to base 15.\nAnswer: 1d730b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1962 divided by 205.\nAnswer: -1962\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19109468.\nAnswer: 2, 7, 53, 79, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -488, -514, -540?\n\"Answer: -26*i - 462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26240 - -2?\nAnswer: 26242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323 divided by -19.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/24 - (-2)\/(-6))\/(1898 + -1899).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**3 + 4*h**2 - 5*h - 9. Let x(p) = 0 + 5 - p**2 + p**3 + p - 3 + 0. Let n be (-10 - -1)*(12 + (-9 - 4)). What is n*x(t) + 2*b(t)?\nAnswer: 3*t**3 - t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24252)\/40420)\/(-2*3\/(-110)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.01 (b) -0.32 (c) -3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 10:21 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 0*p - 84. Calculate the common denominator of (-2)\/7 + 164\/p and (-1 + 0)\/(6\/162).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = f - 2*t, 5*t + 1 + 24 = 3*f. Suppose -x = 5*m - 383 - 172, m = f*x + 85. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*c)*((1 - 3 + 1)*(-1 + 3 + 0) + 1 + 0 - 2 - 5 + 0 + 2) in the form x*c + u and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4745 = -107*d + 7099 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -5. Let h(o) = -o**3 - 4*o**2 + 6*o + 2. Let i be h(-5). Let a be 3*(-1)\/(3\/2). Sort i, a, m in increasing order.\nAnswer: i, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*(103*r + 131*r - 30*r + 405*r) to the form h + j*r and give j.\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - 3\/(-3) - 1. Let d(r) be the first derivative of 0*r**3 - 1\/2*r**s - 1 + 0*r + 1\/2*r**4. What is the second derivative of d(j) wrt j?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.1360961ns to days.\nAnswer: 0.00000000000022148259375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/5 - 6*g = 0. Calculate g.\nAnswer: 0, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, -1911 in decreasing order.\nAnswer: 15, 3, -1911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 755140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 4*s - 2*s = 4, -2*s + 19 = 3*a. Suppose 5*g = -3*i + 27, -2*i - 13 = -a*g - 7*i. What is the remainder when 17 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 457 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 + 47*z**2 - 86*z + 34. Let n be c(-46). What is the greatest common factor of 710 and n?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17 and 405814.\nAnswer: 6898838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3*1)\/((-20)\/(-12)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-1)\/(-3)) - 0. Let y(n) be the second derivative of -6*n + 0 + 3\/2*n**2 + 1\/20*n**5 - 5\/12*n**4 + 1\/2*n**3. What is y(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 30*o**2 - 13*o**2 - 5 - o**3 + 14*o + 3*o - 17*o**2. What is u(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 1625*w**2 + 3215*w + 4845.\nAnswer: 5*(w - 323)*(w - 3)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 121 + -98. Suppose p - 104 = -t. Calculate the highest common divisor of p and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 236 and 37732?\nAnswer: 2226188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 185553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muuumumuuumm. Give prob of picking 3 u.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1579, -23, -12 in decreasing order.\nAnswer: -12, -23, -1579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*c, -c = 2*d + 4*c + 28. Let o be d\/(-6)*(-45)\/(-6). Solve 2*k + 6 = 3*q, o = 3*k + q - 8 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 438 (b) -5 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(((-8)\/6)\/2). Suppose 0 = 51*y - 46*y - 35. Suppose r - 2*q + 2 = 1, -2*r = -q - y. Solve 4*o = -l + 21, c*l + 3*o = r*l + 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -11*j + 75. What are the prime factors of ((-144)\/j - -5)*(-9 + 2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*v - 2*v + 3*v)*(-4 - 1 + 2)*(-7 + 7 - 7*v**2) in the form p*v**2 + f*v + g + h*v**3 and give h.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 171277777*a**5 - 2*a**2 + 7*a + 212095 wrt a?\nAnswer: 10276666620*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n - 2. Let h be c(1). Let j = 29 - h. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353 = 35*o - 962 + 294 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2005 divide 41623800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7 + 2*f + 7 + (-1 - 1 + 0)*(0*f + f + f) + 7*f - 5*f + 9*f + (-1 + 4 - 2)*(2*f - 5*f + f) + 0*f + 0*f - 2*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 - 21. Solve -12*v**2 - 28*v**5 - 7*v**m - 8*v + 4*v**2 + 36*v**3 + 20*v**4 - 5*v**2 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1968658005 to the nearest 1000000.\nAnswer: 1969000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 4. Suppose 2*s - 28 = -8. Let w = s - 7. Put 4, j, w in increasing order.\nAnswer: w, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.1831 and 2.\nAnswer: 12.3662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*c**3 - 818 + c + 825 + 5*c**3 to the form k*c**2 + j*c + d + s*c**3 and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - 0.2. Let b = 1 - -5. Let o = -6.06 + b. Do s and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 4*n = -10, 4*a + 17*n - 20*n = -17. Let w(j) = -j**2 + 4*j - 1. Let u be 2 + 2\/(-4)*-2. Let l(h) = -h**2 + 3*h. Give a*w(t) + u*l(t).\nAnswer: -t**2 + t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/((-18)\/(-20))*6. Suppose 339*x - 1381 = 3704. What is the highest common divisor of n and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 259\/74*(-6)\/(-14)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (273\/(-91))\/(1 + (-13)\/10). Solve -c = 4*c - d for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 + 51480*b - 165636900.\nAnswer: -4*(b - 6435)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 - 128*j**2 - 1249*j - 21. What is p(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**2 + j - 1. What is the units digit of m(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/365123 and -77\/531088.\nAnswer: 5841968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -378a + 37029?\nAnswer: 3334a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 36*z**2 - 2*z + 32. Determine i(36).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*z + 3*p - 143 = 2*p + 700, 5*z + 2*p + 0 + 3 - 4 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p - 12 = 42*p, 5*o - 6 = -3*p. Let x = 10 - 4. Calculate the least common multiple of o and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + (1 - 3\/(-3)). Let x be (t*2)\/(-1 - 1). Solve -20 = -x*n - n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(5) + -1 + 3)*6.\nAnswer: 12 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**4\/21 + 4*t**3\/3 + 230*t**2\/21 + 200*t\/21 = 0.\nAnswer: -5, -1, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -821.14?\nAnswer: 4105.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.077, -4.75, -6 in increasing order.\nAnswer: -6, -4.75, -0.077","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 1788 - 985. Solve 5*z = 838 - l for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.2, 18\/17, -2\/9?\nAnswer: 18\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(5472))\/(-6*sqrt(50) + sqrt(2)) + 4.\nAnswer: 4 + 72*sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 13*g**2 - 14*g + 9. Let t be b(14). Solve -t = -c + 4*c, 3*q - 15 = 2*c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 1:16 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from efeejeejjjj?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (212 - 206) + (-3 + -4 + 10 - 14) - 41?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 161 divided by 1486199?\nAnswer: 161\/1486199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 + 2*p + 3*p**3 - 6*p**3 + (301097 - 301097 - 1635*p**3)*(0 + 2 + 1) + (-p**2 + 0*p + 0*p)*(-4*p - p + 3*p) + 3*p - 3*p + 2*p**3.\nAnswer: -4902*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 84.7 = -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37146678044 and 754.\nAnswer: 37146678798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17)\/(-7)*(-40)\/560. Let a = -345\/49 + f. Calculate the common denominator of 17\/154 and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4028 - 2582. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45.068 - 0.068. Let s = h + -45. Is s <= -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -10*n - 4*n**2 + 12 - 1\/3*n**3. Calculate the remainder when g(-4) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 322065 = -76973. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.2, 0.4, -20?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 12:09 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/231 + 151\/693. Suppose 119*t = 123*t - 8. Factor -2\/9 - 2\/3*p**t - 2\/3*p - a*p**3.\nAnswer: -2*(p + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/3 and 48\/1037.\nAnswer: 3111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a + 1. Suppose 0 = 2*x + 5 - 3. Let h(y) = -y**2 - 3*y + 2. Let l = 759 - 755. Determine l*t(r) + x*h(r).\nAnswer: r**2 - r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 403?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 2\/9, -89, 0.03, 10, 18, 4\/7?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4252 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3810 + -3809. Sort -2, -0.5, i, -1 in descending order.\nAnswer: i, -0.5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - m + 15 = 0, -i = 2*m - m - 10. Let y(u) = -6*u**2 - 36*u + 3. Let r = -322 - -316. Let j be y(r). Solve 5*t + d - 9 = i*d, 4 = j*t - d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 2 + 1172 + -1. Let j = b + -231. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502 = 270*w + 2786 + 5276 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2 + 2. Suppose 4*m = 2*n - 36, -h*n = 2*n - 3*m - 67. Suppose -3*r = 3*w, 2*w - r = -w + n. Solve -3*b = b - 4*t - w, 2*t = -4*b - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xfc when three letters picked without replacement from {h: 1, x: 5, f: 1, s: 1, d: 1, c: 3}?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - 2*k + k + 4*k - 3.\nAnswer: -2*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f - 4 - 230*f**2 + 5 + 223*f**2 - 2*f**2 + 0*f**2 - f**2 + (2*f + 2*f - 3*f)*(0*f + 0*f - f).\nAnswer: -11*f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 5*t + 1. Determine v(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 536*r**2 - 3*r - 1 + 182*r**2.\nAnswer: -354*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.4 + 11.4. Let v be ((-3)\/9 - -1)\/(-2). Sort -1, v, k in descending order.\nAnswer: v, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 12:58 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 519 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-388)\/(-679)*(6 + 1). Suppose 2*w - 8 = -2*w. Find the first derivative of p**w - 6*p**2 - 14 + 23 - b wrt p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 276, 429, 602, 801, 1032?\nAnswer: 1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-14) + 191856\/(-4704)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n**3 - 20*n**2 + 797*n - 54. Determine c(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21139377 is divided by 1765?\nAnswer: 1737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1998510 times 0.19?\nAnswer: -379716.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2891\/649 - 12\/(-22). Is (-9)\/3 + (203 + j)*43 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 + 5042 + 1782 = -220*t for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of -x**6\/72 - 13*x**5\/6 - 845*x**4\/6 - 119*x**3\/3 - 200*x**2. Let v(n) be the first derivative of k(n). Factor v(r).\nAnswer: -5*(r + 26)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((5 - 1) + -5 + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-1) + 7 + 61. Suppose -2*y - j + 338 = 0. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -422, -420, -432, -464, -522, -612, -740?\n\"Answer: -w**3 - w**2 + 12*w - 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-8)*w\/((w\/w**(9\/5)*w)\/w)*w*((w\/w**(2\/27))\/w)\/w*w*w*w*w**(2\/33) assuming w is positive.\nAnswer: w**(-4772\/1485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/42)\/((-468)\/(-546))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -19. Solve 3*s - 21 = w*d + d, -2*d = -2*s + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1459\/3 or 486?\nAnswer: 486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 11*f - 9. Let q be x(12). Suppose -q*b + o + 22 = -7, -2*b + 16 = -4*o. Solve -2*i + 7*i = b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3*a + 1725 - 1644 = 0, 4*a = -3*w + 218 for w.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y - 7. Let p be g(7). Let d be p*(2 + 1\/(-1)). Let a = d + 5. Solve -a = -3*r - 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 146?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_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: Is 17 a factor of 88485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33134 + -233?\nAnswer: -33422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -452*f + 441*f - 168 = 2*z, -26*f - 28 = -24*f + z for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-3)\/(-252))\/(1\/(-4))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4676967 and 25398?\nAnswer: 159016878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2919.23 minus 135?\nAnswer: 2784.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 + -23 + 931\/19. Let v = -6 + 4. Put 1, v, b in descending order.\nAnswer: b, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 15 = 9*a - 5*r, -a - r = -3. What is the second derivative of 27*y + 38*y**5 + a*y + y**3 + 12*y**5 + 6*y**5 wrt y?\nAnswer: 1120*y**3 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2223 = -5. Let r = b - -562. Solve g = -3*u - 4, 16 = -r*u - 0*g - 4*g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5905.\nAnswer: 5, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7827910, -7827911, -7827912, -7827913, -7827914, -7827915?\n\"Answer: -a - 7827909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 + 23*h**2 - 6*h + 55. Is 19 a factor of l(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0*x + 3*z - 334, 0 = 4*x + 5*z - 670. Let i = x + -106. Calculate the greatest common factor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(10\/3)*y*y)\/(y**(10\/9)*y)*(y**(-15))**(-3\/7) assuming y is positive.\nAnswer: y**(608\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.5 (b) 1 (c) 12\/23 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(147) + 0)*3 - sqrt(147)) + sqrt(147))**2*-2 + -5.\nAnswer: -2646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 185, 373, 585, 833, 1129, 1485?\n\"Answer: 2*b**3 + 174*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 10*x + 12. Let r be q(-11). Suppose 5*w + 2*d - 11 = -r, 2*d = 0. Solve -6 = 3*z + 2*f, 4*z - 3*f - 15 = w*f for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 211*i + 1 - 77*i.\nAnswer: 134*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -294, -473, -688, -951?\nAnswer: -1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*h = -5*s + 322, 2*h = s - 79. Suppose -2*r = -73 - s. Let p(i) = 22*i - 33. Let f be p(2). Calculate the highest common factor of r and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*l = 10, -5*z + 7 = 2*l - 7. Solve -5*u + 3*u - 5 = -v, 10 = z*u - 4*v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 763 - -549. Suppose -9*v + 10*v - 5*o = 350, t = 4*v + 2*o. Does 30 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xpb when three letters picked without replacement from {w: 1, p: 1, c: 1, g: 1, x: 2, b: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(425)*-2 + -2)**2.\nAnswer: -160*sqrt(17) + 27204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and 265692.\nAnswer: 15941.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -2\/11 (b) -2 (c) 398\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2510 and 6741107?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 924 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + 3*g + 9*g - 2*g - 10*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 81\/48)\/((-40000)\/19200)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/11 and 36\/553?\nAnswer: 6083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 6\/7*j**5 - 6*j**4 + 0 + 36\/7*j**3 + 0*j**2 + 0*j = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 130 = -1362. What is the units digit of (2 - 2) + s + (3 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 31 = -5*j, -5*j = 3*b - 13 - 14. Suppose b = 3*o + o. Let y = 0.08 - 0.18. What is the nearest to 0.1 in 0, y, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 464, 3, 0 in ascending order.\nAnswer: 0, 1, 3, 464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8256.9 - -8810. Let u = g - 553. Which is the nearest to 0.1? (a) u (b) 0.5 (c) 33 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599*l**3 + 9 + 296*l**3 - 23*l**3 - 9.\nAnswer: -326*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53115 - -20125?\nAnswer: 103243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d - 3. Let s(x) = -x. Let z(k) = m(k) + 6*s(k). Let j be z(-3). Suppose 0 = 8*g - j*g - 36. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 786\/917*56\/(-12)*85\/10?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lloo when four letters picked without replacement from llololllllo?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -129, -266, -415, -582, -773, -994, -1251, -1550?\n\"Answer: -h**3 - 130*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/6 + 7*d**4\/24 - 2*d**3\/3 - 120*d**2. Let s(p) = -29*p**2 - 20*p + 11. Calculate -17*i(q) - 6*s(q).\nAnswer: 4*q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1907, 1918, 1937, 1964, 1999, 2042, 2093?\n\"Answer: 4*b**2 - b + 1904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-102)\/(-16) + (-6)\/16. Suppose a - x = -4. Let w = 65 + -62. Solve a*k + w*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74480 times 0.0909?\nAnswer: 6770.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5989476560 rounded to the nearest one hundred thousand?\nAnswer: -5989500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 + -129. Let 7*d - 8*d - 4*d - 6 - d**p = 0. Calculate d.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32262 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + r + 15, -2*y - 3*y - 3*r - 39 = 0. Let f(a) = a**3 + 5*a**2 - 6*a - 10. What is f(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.191 + -0.009. Which is the third biggest value? (a) 1 (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbbbbbbpbbppp. What is prob of sequence ppbb?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**3\/6 + 3*a**2 + a. Let p be z(-10). Calculate the greatest common divisor of 32 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: df5f (base 16) to base 12\nAnswer: 29113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**3 + 1769 + 137 - 3*b**3 + 179409*b - 179407*b to the form j*b**2 + g*b + n + v*b**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 62 = f. Let k = f + 152. Calculate the highest common divisor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = h - 1237. What is the common denominator of (h\/864)\/(1\/3) and -33\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583061687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 17*p**3 - 16 + 4*p**4 + p**4 + 3*p**3 - 3*p**4 in the form s + w*p**3 + q*p**4 + v*p**2 + c*p and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22620 (base 8) to base 15.\nAnswer: 2cb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of 23*d**8\/14 - 5*d**4\/12 - 7*d**2\/2 + 39*d - 1. Find the third derivative of i(c) wrt c.\nAnswer: 11040*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((1 - -2) + -8)\/(1\/(-1)). Suppose -4*v + 8 = -3*u, -n*u - 8 = 5*v - 9*v. Solve -3*z - v = 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 9*f**2 - 10*f - 6. Let m be a(-10). Let g be m\/2*12\/(-2). Suppose 3*p - 21 = g. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5197 divided by -16272.\nAnswer: -5197\/16272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*u + 226, -4*b + 404 = -2*b - 4*u. Is b a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1126 + -5?\nAnswer: -1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 8*q**2 - q + 7. Calculate t(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 888 and 7\/28 - 1478\/(-32)*(-1 - -5)?\nAnswer: 4440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b + 3762 - 3778 - 3*b - 4*b. Give u(8).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 7:37 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/80064 and 29\/5204160?\nAnswer: 5204160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 36, -7, -41.\nAnswer: -41, -7, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 43*b**2 + 33*b + 1. Let i(y) = 11*y**2 + 9*y. Let u(j) = 3*h(j) - 11*i(j). Let k(z) = 30*z - 1. What is k(u(s))?\nAnswer: 240*s**2 + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4803 is divided by 800.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 21*w**2. Let x(n) = 1692829*n. Give x(g(z)).\nAnswer: 35549409*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.2 + 1.2. Let n = 0.1 + -0.5. Let i = n + 0.9. Sort i, d, 0.4.\nAnswer: d, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 5. Let d(j) = j**2 - 2*j + 5. Let z be d(0). Let r(i) = 6*i + 9. Determine z*r(f) + 9*g(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 14681 = -8719. Suppose 0 = 2*w + 5*v - x, 5*w - 3250 = 14*v - 10*v. List the prime factors of w.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7, -2, -4 in decreasing order.\nAnswer: -2, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of x**8\/21 + 23*x**5\/60 + 8*x**2 - 18. Let w(s) be the second derivative of n(s). Find the third derivative of w(z) wrt z.\nAnswer: 960*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 150988608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76019300.\nAnswer: 2, 5, 7, 131, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/1287168 and 97\/6.\nAnswer: 1287168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -3\/4, 1, -4.3 in increasing order.\nAnswer: -4.3, -3\/4, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2, h + w - 10 = 2*w. Suppose -4 = 4*n - 6*n. What is the smallest common multiple of n and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -144 - 231*x**3 + 231 + 2*x**2 - 3*x**2 + 343 wrt x?\nAnswer: -693*x**2 - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/40)\/(-11)*280\/20?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175456 to the power of 1\/2, to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -7. Let w = 0 + n. Suppose w*p + p + 3 = z, 0 = -z + 3. Solve p = -4*j + 4*y + 4, 2*j + 2*y = -16 + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 3 - (-6)\/(-150)*5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107223749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)*t**2\/t)\/((t\/(t\/(t\/(t\/(t*t**(-6\/7))))))\/t*t*t**15\/t) assuming t is positive.\nAnswer: t**(-120\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -14*v - 26. Determine u(-6).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -139 + 142. Suppose w*i - 3*o - 5 = 7, 3*i + 5*o = 20. Let l(d) = 3*d - 1. Calculate l(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8303698 millimeters to nanometers.\nAnswer: 830369.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 p, and 1 t when three letters picked without replacement from {f: 10, t: 4, p: 1, b: 3}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - ((-352)\/60 + (-6)\/45). Solve 16 = 4*r, j*x + 4*r - 16 = 3*r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17764 and 102271789.\nAnswer: 4441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 18. Let q = 136 - 112. Let p be (18\/(-4))\/(q\/(-64)). Is p greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, x: 9, a: 2, s: 2}. Give prob of sequence ax.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f + 84. Let k be m(-9). What is the greatest common divisor of 19 and k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from porobiq. Give prob of picking 1 o and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 489658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*d = d - 51, -3*l + 2*d = -33. Let b be (-8)\/10*15\/(-6). Suppose -1 = b*m - 5. Solve -m*h + l = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2793747?\nAnswer: 3, 11, 84659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/7540 and -93\/26.\nAnswer: 7540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 372819 = 8*p + 133507. List the prime factors of p.\nAnswer: 2, 14957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 2. Determine b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2686613 to the power of 1\/2, to the nearest integer?\nAnswer: 1639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.12 (b) -9\/118 (c) 3 (d) -0.5 (e) -3\/8 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**3\/3 + 6*j**2 - 11*j + 16\/3 = 0.\nAnswer: 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/12 and 103\/222.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30 * -6.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172 + 181 = o. What is the highest common divisor of 117 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 6*u = -10*u - 44, -27 = 9*s + u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 101 - 24 = 0. Let b(g) = g**3 + 12*g**2 + 11*g + 6. Let t be b(z). Solve t*a - 10 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 478, 1196, 2276, 3718, 5522?\n\"Answer: 181*k**2 + 175*k + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/f**(-7))\/f*f)\/f)**(-11\/2)*f**(-3\/14)*f*f*f**(-3\/10)*f*f assuming f is positive.\nAnswer: f**(-1418\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1042*l + 1037*l + 1046*l - 4159*l + 1037*l + 29.\nAnswer: 3*l + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.4, 0.3, 435, 5.\nAnswer: -0.4, 0.3, 0.5, 5, 435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**4 - c**4 + 2*c**4 + (1 - 1 + 4*c)*(11*c**3 + 2 - 2) + (39*c**2 - 39*c**2 + 13*c**3)*(-5*c + 3*c + 6*c).\nAnswer: 98*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 217\/93 + 4\/6. What is the nearest to 2 in w, -6, 0.8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 267 + -249. Suppose 3*b + 4*f = 5*f + 5, -2*b = 3*f - w. Solve 3*v = -b*t, 2*v - 8 = 5*t + 5*v for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*k + 1497 + 3030 = 133 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/24*(-1)\/2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14688 is divided by 521?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8232 by -14.\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -313.3814094 to 0 decimal places.\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 101460 and 675830.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 7. Suppose 0 = -4*c - 3*j + 19, 3*c - c - 2*j = l. Suppose -4*y - 4 = 8. Put c, y, 2 in descending order.\nAnswer: c, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -7*x + 16. Suppose 9*s = x*s + 25. What is the smallest common multiple of s and -6*-1*9\/6?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhthhhethhtewhw. Give prob of sequence twe.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-19 - -9 - -11)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -511 - 501. Let c = t - -2314. What are the prime factors of c?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + 2 - 2 + (3*v**3 - 2*v**3 + 2*v**3)*(-2 + 0 + 1))*(-5 - 2*v + 5 + (-19*v + 3 - 3)*(-6 - 1 - 1)).\nAnswer: -300*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5015)\/(-896) - (-1 - -2). Let m = -15\/128 - l. Calculate the common denominator of m and 1 + (2 - 87\/21).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -301.\nAnswer: -150.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 4*f**2 - f + 1. Let k(r) = -25*r**2 + 18*r - 1. Let d(l) = -6*b(l) - k(l). Determine d(10).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 4:28 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 171 = 55*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.4 (c) -2.769 (d) 0.1 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 14 = -5*y - 2*q, -3*q + 22 = 5*y. Let i be 47\/2 - 3\/y. What is the units digit of (-4)\/i + (-408)\/(-66)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2384 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 + l**2 - 1698*l + 1753*l.\nAnswer: l**2 + 55*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 191 = 476. Let t be 70576\/77 + 9\/21. Let w be t\/49 + (-2)\/(-7). What is the greatest common factor of w and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*h = -0 - 2, 5*m + 5*h = 25. Which is the biggest value? (a) 5 (b) -0.01 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 3*x - 29, 2*w = 4*x + 10 + 2. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2939*p**2 + 2939*p**2 + 53*p**3)*(-14 - 7 + 2).\nAnswer: -1007*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 7:39 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, y: 3, t: 4}. Give prob of picking 2 a and 2 y.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 749?\nAnswer: -749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 28. Let p(z) = 10*z**2 + 6*z + 8. Let n be p(-1). Calculate k(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 0 + 0 + (-1262 + 555 + 1321)*(-1 - 2*m + 1) to x + j*m and give j.\nAnswer: -1229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23204799?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -167390 and 1.\nAnswer: -167389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/24 + -4 + 3 + 55774\/16116 + -2.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -673 - -16823\/25. Let q be (3 + 36\/(-10))\/((-28)\/(-20)). Sort 2, f, q.\nAnswer: q, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.427087088 and -7.42.\nAnswer: -4.992912912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u + 17540 = -36*o + 41*o, -2*u + 13960 = 4*o. Is 187 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*f + 26 = 0, -4*k - 34 = -4*f + 3*f. Does 3 divide (12 + k)\/(2 + (-10)\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -277484233 and 279069?\nAnswer: 277763302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - 620\/(-30))\/((-2)\/(-1))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11885380 a multiple of 260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 120 - (0 - (-16 - (13 + -17 - 4)))\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 11*g - 81. Let d(j) = -2*j + 1. Let i(k) = -3*d(k) + y(k). Let a be i(6). Solve -5*c = -o + 2*o + a, -3*c + 2*o = 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (150*u + 105*u - 95*u)*(4 - 4 + u) to the form b + s*u + l*u**2 and give l.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 7) in base 14?\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4891442569 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6136085 and 8590519.\nAnswer: 42952595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11\/(2\/(6\/3)). Let y = -20 + 38. Let t = y - s. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137452 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, n: 3, l: 4}. What is prob of sequence ndnd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 946, 2051, 3598, 5587, 8018?\nAnswer: 10891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 15560\/49?\nAnswer: 15560\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -2\/37, -1 in ascending order.\nAnswer: -1, -2\/37, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*(2 + (-2 + sqrt(684))*4 - ((sqrt(684)*2 - sqrt(684))*-5 - ((sqrt(684) - (-4 + sqrt(684) + 0)) + sqrt(684)))) + -1)**2.\nAnswer: -720*sqrt(19) + 273609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96422624?\nAnswer: 2, 23, 131009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560)\/(2*sqrt(640) - sqrt(640)))\/(((sqrt(192) - sqrt(192)*2)\/sqrt(6))\/sqrt(4))*6*-4.\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -317, 2, -7, -21, -2 in descending order.\nAnswer: 2, 0, -2, -7, -21, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*k - 4 = 4*k, 4*g - k - 20 = 0. Determine x, given that -9*x + 12 + 13*x - 9*x - g*x**2 - 3*x = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*1898715\nAnswer: 9493575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1\/5, 0.3, -2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2380 and 684488.\nAnswer: 3422440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q**3 - 6*q**2 + 6*q - 5. Let v be i(4). Suppose 0 = 6*l - v - 155. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 + 41. Is 2*(1924\/i - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99837138 by -225366.\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8*u**2 + 4. Let a(q) = -397*q**2 - 2*q + 4. Calculate -a(s) + p(s).\nAnswer: 389*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -5*c**2 + 2*c. Let u(f) = 1 - 425*f**2 + 430*f**2 + 3 - 4. What is u(p(r))?\nAnswer: 125*r**4 - 100*r**3 + 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58376\/11 <= 5308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9341 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (663\/(-45) - 2\/(-6))*28\/(-112).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*m - 136*m + 72*m - 26 = 0. Solve 5*v + 31 = -3*x, -8*x + 4*x = m*v + 32 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 12:29 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 275880?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a + -1ab2257?\nAnswer: -1ab2239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165381831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y**2 - 5*y + 5. Let f be 7*(-2 + 2 - -1). Suppose f*r - 2*r = 10. Let n(k) = -2*k + 31*k**2 - 11*k**r + 14 - 12*k. What is 5*n(w) - 14*s(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(15\/4) - -1. Let t = -4.765 - 0.235. What is the third biggest value in 5\/6, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 241 + -228. Suppose 14*a = u + 7519. What are the prime factors of a?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 + (-566 - -540 - (9 - -1))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -50. What is the closest to d in -3, 4\/3, 0?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 18*m = -2907. What is the greatest common divisor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oma when three letters picked without replacement from {d: 2, s: 5, m: 4, o: 2, j: 1, a: 1}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2*l + 12 = -2*z, -z - 4 = -l. Are 1 and z nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/56*(-88)\/24*63\/(-49)?\nAnswer: -33\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - 3*c**3 - 12*c**3)*(c**2 - 2*c**2 - c**2)*(4 - 5 + 0)*(3 + 13 - 3).\nAnswer: -364*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxc when three letters picked without replacement from {d: 1, x: 1, c: 1, z: 2, y: 1, f: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b = -24135 + 14008 - 26098. Calculate the remainder when b is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1020112 (base 3) to base 9\nAnswer: -1215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*d - 9 + 54 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*t**2 - 9*t + 3*t**2 - 4*t**2 + 3*t**2 + 24*t**2 + 10*t**2 - 6*t**2.\nAnswer: -5*t**2 - 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 2*v + 10, -5*y + 0*v + 3*v + 25 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5) + 6\/10.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -11*t**3 - 2*t**2 - 12*t + 13. Let x be l(1). What is the biggest value in -3, 6\/11, -5, x?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 6 - 14*y**2)*(262*y**2 - 138*y**2 + y - 148*y**2) to l*y**3 + s*y**2 + c*y**4 + b*y + k and give c.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 228 + -130. Let b be (-10)\/(-8) - 3009\/(-236). Calculate the highest common factor of m and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*k = 130 - 7 + 26 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 9*i + 21 = 12*i, 5*g - 5*i - 125 = 0. What is the greatest common divisor of g and 306?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 (base 13) in base 14?\nAnswer: -7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 742?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39869877116 + 39869877068.9473685016. Let y = r + 0.0526307684. Let v = y - -47. Round v to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -26811 divided by 2?\nAnswer: -26811\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + 7 + (11 - 13) - -13.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7 = 3. Let g be ((-3)\/5)\/(z\/10). Let s(y) = 5*y + 4. Let l(c) = -14*c - 11. What is g*l(u) - 8*s(u)?\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/1351064?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1600534 + 2378*z - 1600534)*((-1 + 4 - 1)*(0 + 0 + 1) - 2 + 4 + 0).\nAnswer: 9512*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(384) + -2*sqrt(2400))\/((-2*sqrt(1452) - sqrt(1452))*-5 + sqrt(1452)))**2.\nAnswer: 1\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**4 + 1349*a**3 + 473958*a**2 + 12735360*a + 33976800 = 0?\nAnswer: -660, -26, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 w, and 1 i when three letters picked without replacement from {h: 2, f: 4, o: 1, w: 6, i: 3, a: 2}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100000100002 (base 3) to base 13.\nAnswer: -62987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(176) + 1) - sqrt(176))*-4.\nAnswer: 12 + 64*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2756779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 14. Let p = -109 + 114. Suppose 6 = p*v - 69. Suppose -2*i = 3*i + 3*d - v, -2*i + 4*d = 20. Give t(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -76787 or 44.68?\nAnswer: 44.68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.763 + 0.237. Suppose -4*k - 7 + 23 = 0. Let p = 5 - k. What is the third biggest value in p, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 2\/7, -5, -0.4, 0.3 in descending order.\nAnswer: 0.3, 2\/7, -0.4, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (((-384)\/(-36))\/8)\/((-6)\/(-7983))?\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + (sqrt(152) + -2*(sqrt(152) + (sqrt(152) - sqrt(152)*-1)) - sqrt(152)))*5)\/(sqrt(96)\/(sqrt(432) + sqrt(432)*-2)).\nAnswer: 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 967\/237 less than 112.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1800765 to the nearest integer?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - -2 - (53 + -40).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/8)*d*d**1)\/(d**5\/(d**(2\/7)\/d))*(d\/(d*(d**1\/d)\/d*d)*d\/(d**(-2\/3)\/d))**(2\/69) assuming d is positive.\nAnswer: d**(-40711\/11592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3650502473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ispp when four letters picked without replacement from pzspszssizpppdz.\nAnswer: 2\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -288*u**3 - 4*u**2 - 3376. Let f(c) = -144*c**3 - c**2 - 1691. Let s(m) = 5*f(m) - 2*v(m). What is the derivative of s(o) wrt o?\nAnswer: -432*o**2 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 10, 0 = x + 3*c - 35 + 29 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-1) + -2 + 2. Let r = 11 - x. Let p(q) = -q**2 + 7*q - 7. Let v be p(6). What is the closest to 1 in 3\/5, v, r?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 978*a**3 - 8*a**2 - 4*a + 8. Let r(j) = 979*j**3 - 6*j**2 - 3*j + 6. Calculate 3*i(q) - 4*r(q).\nAnswer: -982*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 208469.1l?\nAnswer: 208469100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 17748?\nAnswer: 88740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18509741\/246 - -75243. Let r = 2347906\/27 + -481261231\/5535. Let i = r + s. Find the common denominator of 44\/9 and i.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182687, 182689, 182691, 182693?\nAnswer: 182695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*y + 797 + 102*y**2 - 797 + 6*y.\nAnswer: 102*y**2 + 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12311376*j**2*w**2*x**3 - 956*j**2*w**2*x - 3*j**2*x**3 + 1904*j**2*x**2 + 5*j*w**2*x - j*w**2 wrt x?\nAnswer: 73868256*j**2*w**2 - 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*y - 21 = 0, -2*k - 8 = k + 2*y. Let z be ((-4)\/k)\/(7\/168). Suppose -6 = -2*d + z. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.8 (b) 0.2 (c) 4\/5 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 166?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 402 + 478 = 0. Let s be (-2)\/(-7) + f\/(-77). Solve 5*h + 21 - s = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079969507.\nAnswer: 1079969507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, d: 5, g: 3}. What is prob of sequence dggg?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -16.83 - -1\nAnswer: -15.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11563900 (base 10) to base 5.\nAnswer: -10430021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**3 + 2*z**3 + 2*z**3 + (z - 4*z + 4*z)*(-2*z**2 + 4*z**2 + 0*z**2) - 6*z**3 + 0*z + 0*z.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363992867 is divided by 40443650.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -159101 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from iiiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 10 = -0*v. Let r(q) = 5*q**2 - 2. What is the tens digit of r(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**3 + 2*b**2 - 17*b - 61. Let x be q(-3). Calculate the highest common divisor of x and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 10:17 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - n = 51, 3*h + 1329 = 5*n + 1544 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*m, 3*m = -2*t + 7 - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -3, -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 60*i**3 + 21*i**2 - 88*i - 50. List the prime factors of u(7).\nAnswer: 3, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2096\/5, -145, 1\/6, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 - 1140030163?\nAnswer: -1140030153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 305?\nAnswer: 30.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/168 and -87\/16.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16158636*f**4*u - 8*f*u**2 - 530044*u**2 - 92*u with respect to f.\nAnswer: 64634544*f**3*u - 8*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qwi when three letters picked without replacement from {i: 7, q: 5, w: 1}.\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*b**3*l - 1496*b**3 - 68*b*l**3 with respect to l.\nAnswer: -8*b**3 - 204*b*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, w: 5, q: 1, m: 6}. What is prob of sequence iqim?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvvtttttttv. What is prob of sequence vtt?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 71*s**2 - 433*s - 2562. What is y(-6)?\nAnswer: 2592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 261, 0.04, 3\/2 in descending order.\nAnswer: 261, 3\/2, 0.04, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*w**3 + w**3 + 4*w**3)*(w - 4*w + 2*w)*(2*w + 0 + 0).\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.112 * -0.2\nAnswer: 0.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2257.\nAnswer: 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 3\/55, -0.1, -3?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4222 + 4232 + 22 + (2 - 2).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 11 = 2*h, -h = -2*g + 4*h - 16. Let o = 26 + g. Find the third derivative of 6*z**2 + 23 - o + 5*z**3 wrt z.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 1\/3 (c) 5 (d) -87.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**4\/2 - 17*v**3\/2 - 85*v**2\/2 + 17*v\/2 + 42 = 0.\nAnswer: -4, -1, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h - 2*h**4 + 0*h + 2781*h**4 + 2425*h**4 - 888*h**4 + (-5 + 3 + 1)*(h**4 + h**4 - 4*h**4).\nAnswer: 4318*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 2 - (-24 - -13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 5 - 7*k**2 - 6 + 3 - k**4 as n*k**3 + u*k + c*k**4 + b + s*k**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = -29*m + 1666540. Suppose 49*g - m + 5417 = 0. List the prime factors of g.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -9.86. Let k = h + -0.04. Which is the closest to -1\/2? (a) -4 (b) k (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 t, and 1 i when three letters picked without replacement from uvwviivivti?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23133785261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 5*i**2 + 28*i - 7. Calculate f(-7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*d - 15. What is the greatest common factor of 5 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -4907.\nAnswer: -34\/4907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34*1\/5*(-59050)\/(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**5 + 230*t**4 - 1591*t**3 - t**2 + 52241*t + 34 wrt t.\nAnswer: -60*t**2 + 5520*t - 9546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -59 - 39?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 776 - 376. Let y be 6\/2 + (1 - 0). Suppose 0 = 3*w - 5*a - t, -136 = -y*w + 3*w + a. Calculate the greatest common divisor of 10 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -557.3318 take away 1190274?\nAnswer: -1190831.3318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*4*4\/(-24). Let u(h) = 26*h**2 - 6. Let y(f) = f**2. Let k(a) = r*y(a) - u(a). Find the first derivative of k(t) wrt t.\nAnswer: -60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 34*v - 909. Let t(y) = y**2 - 35*y - 907. Let g(o) = 3*r(o) - 2*t(o). Differentiate g(u) wrt u.\nAnswer: 2*u - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*r, -74*r + 61*r = 2*z - 357. Solve 0 = -8*x + z - 153 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21, 27, 33, 39, 45?\n\"Answer: 6*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/224)\/(4\/64*-4)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*g + 4*c, 4*g + c - 4*c - 6 = 0. Let p = 0 + g. Calculate the remainder when 4 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 18008.67 nanograms?\nAnswer: 0.01800867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -486*l + 484*l - 8. Let v be l\/6 - (-18)\/27. Solve v*y - 5*y = -20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1096*-68\nAnswer: 74528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8293296 (base 10) to base 6.\nAnswer: 453430520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 8:43 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/5*2\/3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, v: 3, a: 1, z: 6, s: 3, d: 1}. Give prob of sequence qdv.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 9*f - 30. Let r be l(-5). Let m = 33 - r. What is the remainder when m is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*((sqrt(2) + -3)**2 + -4 - (sqrt(2) - sqrt(14)\/sqrt(112))).\nAnswer: -42 + 81*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -70546*t**4 - 47873 wrt t?\nAnswer: -282184*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -4 - 7 - (1 - -2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86356 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*f + 418*f + 434*f + 218*f + 48*f - 74*f.\nAnswer: 939*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(2 + 1 - 4 + (0 + 4 - 2)*(-1 + 2 - 2) + 3 - 8 - 5)*(930 + 113*p - 930) as v*p + c and give v.\nAnswer: -1469","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 3:29 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4752 and 123552.\nAnswer: 123552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -242038 + -5?\nAnswer: -242043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 43 + 68 + 3*q - 4*q.\nAnswer: -q + 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/198 and 151\/159567210.\nAnswer: 159567210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 394, -27 in ascending order.\nAnswer: -27, -24, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 2*a**2 - 4 - 2*a**2. Let k(c) = 2 - 2 - 2. Determine -5*k(b) + 2*v(b).\nAnswer: -2*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2046, 2082, 2130, 2190, 2262, 2346, 2442?\n\"Answer: 6*o**2 + 18*o + 2022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 7*a**2 + 3*a - 2. What is l(2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -143*s**2 - 3*s + 2. Let o be c(6). Let j = o + 103367\/20. Let g = -7367 - -161963\/22. What is the common denominator of j and g?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-8)\/562)\/(8\/(-20)))\/(-8). Let p = x + -49963\/12364. Find the common denominator of (7\/(-42))\/((-6)\/106) and p.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -3. Let l(q) = -76*q**2 + 229*q + 1. What is the lowest common multiple of 3\/d + (-1 - 1) and l(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 195846, 782193, 1759438, 3127581, 4886622, 7036561?\nAnswer: 9577398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6425?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**2 + 4*q**2 - q**2 + q**2 + 0*q**2 - 3*q**2 + (-15*q - q + 2*q)*(0*q - 2*q - q).\nAnswer: 43*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - -2*sqrt(11)*2) + (sqrt(66)*-2)\/sqrt(6) - (sqrt(99)*-3*-4)\/sqrt(9))**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -246, -494, -746, -1002, -1262, -1526, -1794?\n\"Answer: -2*b**2 - 242*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 + 0*v**3 + 34*v**2 - 34*v**2.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 102018, 102673, 103328, 103983, 104638, 105293?\n\"Answer: 655*q + 101363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -362?\nAnswer: -362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*o + 10474 + 19940 = 11782 - 9129 for o.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5396014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 211224 divided by 11.\nAnswer: 211224\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1124 - 240 = 4*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/8 of a century?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 437, 499, 621, 815, 1093, 1467, 1949, 2551?\nAnswer: 3285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.83306454 rounded to one decimal place?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*q**3 + 165*q**3 - 77*q**3 - 66*q**3.\nAnswer: 56*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 990 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by -2075162.\nAnswer: 43\/2075162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89920460.\nAnswer: 2, 5, 7, 31, 20719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603 a factor of 384959502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1168856000 rounded to the nearest one million?\nAnswer: -1169000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 3:24 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 5*w**4 - 124298*w**3 - 920015*w**2 - 1591468*w - 497340 = 0.\nAnswer: -5, -2, -2\/5, 24867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*a + 22*a + 43*a**2 - 44*a in the form n + y*a + o*a**2 and give o.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51 - 36.2. Let t = b - 15.8. Sort 2\/9, 2\/17, t.\nAnswer: t, 2\/17, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 2*d)*(-3 + d + 3) + ((2 - 2 + 3)*(2*d - 1 + 1) - 3*d + d + 0*d)*(-223*d - 49993 + 49993)*(-1 - 4 + 3) as t*d + l + n*d**2 and give n.\nAnswer: 1786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1 = -4*r - 19, -3*n + r + 17 = 0. Let q be 1\/n*(1 - -2). Suppose 7 = 4*k - 1. Which is smaller: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + 26. Suppose p*w + 100 = 475. Let h = w - 41. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -38440290\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide ((-77)\/28)\/((-2)\/32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-48)\/32*(-8 - -4)\/(-2). Sort 2\/9, -5\/8, k.\nAnswer: k, -5\/8, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g*(g*g\/g**(-2\/19))\/g*g)*g*g*g**(-2\/23)\/g*g**(1\/8)\/(g*g\/((g*g**0)\/g)) assuming g is positive.\nAnswer: g**(-7227\/3496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen quarters of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/72 and 4\/30*3 - (-80)\/(-4950).\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in 0.5, 0.7, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/1 - 3*(-2)\/(-2). Let q = t - -15. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*q**2 - 2*q**2 + 1 - 6*q - q**2 - q**3 as x*q**3 + r + y*q + g*q**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -16, 0, -4 in descending order.\nAnswer: 2, 0, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/53 or -9?\nAnswer: -6\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**2 + 2*p + 0*p**2 + 6*p**2 - 11 - p**2 + 2*p - 2*p + (-2 + 4 + 0)*(5*p**2 - 2*p**2 - p**2) in the form o*p**2 + w + g*p and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + l - 10 = -2*l, -10 = -3*i - l. What is the remainder when 3 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) + sqrt(352)\/sqrt(8))\/sqrt(4)*-6 + 4)**2.\nAnswer: -96*sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 7*i**2 - 5*i + 6. Let o = 8 + -2. Let b be a(o). Let k be (-97500)\/(((-9)\/b)\/3). Round k to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 11:36 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dodddo. What is prob of picking 2 d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + p = 17, 3*f - p = -0*p + 18. Let j = 86 - 85. Let w be (1 + -5)\/(-4) - j. Solve w = -f*x - 23 - 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 219921887?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98210849 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14.67*-0.18\nAnswer: -2.6406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39106?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, j: 3, f: 2, u: 3, k: 7}. What is prob of picking 1 y and 1 k?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -51.69203 and -0.3?\nAnswer: 51.39203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.23365.\nAnswer: 0.23365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let x(q) = -2*q**2 - 65*q - 176730. Calculate g(x(h)).\nAnswer: 2*h**2 + 65*h + 176730","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 230895344.3 rounded to the nearest one million?\nAnswer: 231000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -14730857?\nAnswer: -14730857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.12 (b) 7 (c) 1 (d) 8\/5 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -199 or -198?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 317 + -202. Calculate the remainder when j is divided by 11 + 435\/35 + -4 + 12\/21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011110101112000201 + 10?\nAnswer: 1011110101112000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-7))\/(-6*12\/(-72)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 + 204*a**3 - 2692*a**2 + 2100*a + 5000.\nAnswer: -4*(a - 25)**2*(a - 2)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = x + 4*x. Suppose -14*c = -4*c - 350. Let n be (-1)\/(-3) - (-2 - c\/(-15)). Solve x*q = -4*v + 8, n*q + q = v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -932*t = -930*t - a + 5, 5*t + 4*a = 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 669*c**4 - 493*c**4 + 461*c**4 + (0*c**3 + c**3 + 0*c**3)*(3*c - 3*c + c) to q*c**3 + b + t*c**2 + j*c + a*c**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 0, -2, -4\/3, -1.91?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4800, -9607, -14414?\n\"Answer: -4807*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*n + 3*n = -960 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111150 is divided by 114?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 668 + 282. Calculate the smallest common multiple of q and 18.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8 (b) 8\/7 (c) 2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y. Let i(f) = 22*f**2. What is o(i(d))?\nAnswer: 44*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9*o**3 + o**2 + 3*o - 4. Calculate n(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98) + 2)**2 - (sqrt(16)*-3)\/sqrt(8)) + (sqrt(1152) - (2*sqrt(10))\/sqrt(5)).\nAnswer: 53*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/49*4\/((-48)\/42)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 1622*w**4\/3 + 5*w**3 + 4*w**2 - 102*w. Let t be z(-8). Round t to the nearest 10000.\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -7*h - 3. Let t be g(6). Let p = t + 69. Is p a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4205371 (b) -3\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -407, 690, 3675, 9490, 19077, 33378, 53335, 79890?\n\"Answer: 157*j**3 + 2*j**2 - 8*j - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*k**3)*(1 + 4 - 3)*(2*k**2 - 2*k**2 - k**2 + (3*k - 5*k + 0*k)*(-k + 1 - 1) + 3*k**2 - 4*k**2 - 2*k**2 - k**2 + 6*k**2 - 4*k**2).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + -3*(0 - 2). Suppose -y*v - 1 = -s - 23, 0 = 2*s + 8. Suppose v*c - 62 = 16. What is the remainder when 46 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 1:11 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 9*b - 20. Let c = 7 + -12. Sort 2, c, b in decreasing order.\nAnswer: b, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1764771208 + 1764771261.00000205. Let m = 53 - u. Round m to seven decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-6))\/(k\/((k**(2\/21)*k)\/k)))\/((k*(k\/(k\/k**3*k))\/k)\/(k\/k**(-3\/7))) assuming k is positive.\nAnswer: k**(116\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(3\/17)\/x**(3\/14))**(2\/141))**(-46) assuming x is positive.\nAnswer: x**(138\/5593)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352 = -194*z - 2927 + 169 - 1934 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -148\/168983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*c**2 + 1 + (2 - 1 + 0)*(4*c**2 + 0*c**2 - 3*c**2) + 1294*c**2 - 649*c**2 + 33*c - 623*c**2 to p*c + x + v*c**2 and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (-7 - (1 + (4 - (-6 + 9)))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -45*z**4 - 352235*z**3 + 4076005*z**2 - 2155725*z = 0.\nAnswer: -7839, 0, 5\/9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/885*(-6 - -2)*(-170)\/(-68).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 = -19. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 2184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512 - 326 - 174 = 44*s for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42\/107 + 531\/535. What is the third smallest value in 3\/16, 1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 0 = g. Let u be (-2)\/g - 6352\/5. Round u to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 13 = 3*k + 25, -15 = k + i. Let y be 7\/k + ((-1)\/2 - 2). Let f = -3 + 0. Do y and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258*j = -247*j - 165. Solve -11*i = -j*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1510?\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 13 = r - 3*p, 0 = 4*r - 2*p - 2. Suppose 2*y = -r*y - 8. Is y - (-4 - -437)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8, -10, -12, -14, -16, -18?\n\"Answer: -2*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -276723 or 756?\nAnswer: -276723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8519022 and 318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*p - 65*p - 12*p)*(-5 + 0 + 1)*(2 - 2 + 1) - 3*p - 2*p + 2*p in the form n + q*p and give q.\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5891 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -67?\nAnswer: 5\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-4)*3\/9. Let m = 8 + -11. Let j be (-5)\/((-75)\/(-54)) - m. Which is the second smallest value? (a) j (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 0, 7695.\nAnswer: 0, 31, 7695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 + -1)*(-37)\/4. What is the tens digit of (-2)\/(-3) - p\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 661658, 1323364, 1985086, 2646830, 3308602, 3970408?\nAnswer: 4632254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txxpxxxxxkxhxx. Give prob of sequence ht.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r + 66 = 18*r. Let t(k) = 52*k**2 - r*k**2 + 38*k**2. Let d(h) = 2*h. Give d(t(p)).\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2. Let n(m) = -m - 10*m - 4*m. Calculate n(q(w)).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y - 73381 = -73174 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -449*b - 2266. Calculate g(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7091*r**3 + 2*r**2 + 1130*r + 2.\nAnswer: 42546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 2403113403?\nAnswer: -2403113404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 714 + 346 = 20*a. Solve -4*u + 21 = a for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*i - 740 = 120*i. Which is the second biggest value? (a) -9 (b) -1 (c) 1 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*i**3*k - 2*i**3 - 11*i**2*k - 2*i**2 - 2441*i - 1215*k - 1 wrt k?\nAnswer: -11*i**3 - 11*i**2 - 1215","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1136 or -1268?\nAnswer: -1268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -3087, 5 in increasing order.\nAnswer: -3087, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**8\/840 - g**7\/75 - 11*g**6\/300 + 23*g**5\/150 + g**4\/6 - 16*g**3\/15 + 135*g**2 + 2*g. What is m in r(m) = 0?\nAnswer: -2, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*x = -v - 78, v + 25 = -5*x. Let k be (-9)\/(v\/16) - (-2)\/(-10). Let u be (3 - k)*(3\/(-3) - -2). Solve -3*s + s - 4 = u for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -5*t**3\/3 + t**2\/2 - 10*t - 5015. Let q(k) = -14*k**2 + 2*k - 29. Give -11*m(v) + 4*q(v).\nAnswer: -v**2 - 3*v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-35)\/(-20))\/((-52)\/(-208)). Solve 0 = -5*m + j + 15, -3*m + 2*j - b = -16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284 + 278 = -2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = j - 12. Let n be (3 - 1)\/(5\/j). Suppose n*y + 2*y = -54. Round y to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**2\/5 - 94206*v\/5 + 59364832\/5 = 0.\nAnswer: -94832, 626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1598*m**2 + 687*m**2 + 907*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11890450*t**5 - 5902015*t**2 + t wrt t.\nAnswer: 713427000*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1938*d - 1944*d + 0.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 110007839 or 110007838?\nAnswer: 110007839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**17\/u*u)**(-20))**10)**24 assuming u is positive.\nAnswer: u**(-81600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -184 or -37802?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*o**4 + 65*o**2 + 16*o**2 + 5 + 330*o**3 - o**2 + 30 - 170*o.\nAnswer: 5*(o + 1)*(o + 7)*(3*o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1340495 by 1.\nAnswer: 1340495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 4*d. Let q(f) be the third derivative of f**5\/60 - f**4\/24 + 3*f**2. Let z(c) = -2*k(c) + 6*q(c). What is the second derivative of z(x) wrt x?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75516 divided by -21.\nAnswer: -3596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 2 - 2)*(17*u - 9*u + 36*u).\nAnswer: 88*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -734075*c + 733921. What is o(1)?\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 481223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/2*1976\/(-342)*(-12)\/(-26)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 44b - -736?\nAnswer: b84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*j - 2*o, 5*o + 7 = 4*j + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 10 = 110. Is 34 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iwww when four letters picked without replacement from {i: 8, w: 5}.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -5) + 17 + -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 26*u**2 - 2964*u - 5. What is b(114)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/20)\/(-2 + 3 - 2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1\/1545 = -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -168012*b**3 - 567*b**2 - 14*b + 84005*b**3 + 84009*b**3 to the form v*b**2 + z*b**3 + x + s*b and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 116 = 5*d. Let i = 20 + d. What is the smallest common multiple of 12*(3 + 21\/i) and 11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15\/((-3885)\/14) - (-421806)\/2849\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3486047 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 5 + 4)*(3*z**2 - 179*z**3 + 163*z**3 - 5*z**2) in the form r*z**2 + p*z + c*z**3 + n and give c.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95 - -101. Let z be (48\/(-36))\/((-8)\/x). Calculate the greatest common divisor of 8 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + y - 15. Suppose 34*o + 20 = 39*o. Suppose 5*w = 5*w + o*w. Give b(w).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + f - 2*f + 6 - 5*f + 3*f - 4 + (-4*f + 4*f + 4*f)*(0 + 1 + 1))*(0*f**2 + 3*f**2 - f**2) as g + o*f**3 + r*f**2 + q*f and give o.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -43795 divided by 8759\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5080688 divided by -4?\nAnswer: 1270172","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Does 330 divide 35640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161213885.\nAnswer: 5, 7, 1013, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -9. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769 rounded to the nearest one hundred?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i**2 - 148*i - 10 + 10 + 148*i.\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2830 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 232124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -13 - -2 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrr. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l**2 + 0*l**2 - 6*l + 13*l + 16. Let u be c(-8). Let a = u - 142. Calculate the highest common divisor of a and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*w = -75*w - 15. Let q(g) = 5*g**2 + 14*g + 16. Let l be q(w). Which is smaller: 70 or l?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 1347.\nAnswer: 1346.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 335874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**4\/12 + 22*i**3\/3 + 459*i**2\/2 + 9248*i\/3 + 4362. Factor d(l).\nAnswer: (l + 17)**2*(l + 32)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/70 and 8\/12989515?\nAnswer: 25979030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 6:55 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 1\/3, -11, 1, -25?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - 19*g**3 + 7*g**3)*(-g + 0 + 0).\nAnswer: 13*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/2 and 95\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-14) + (-1296)\/28. Let h = 189 - p. What is the remainder when h is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4196*y + 11. Let p(c) = -2098*c - 4. Calculate -5*p(i) - 2*t(i).\nAnswer: 2098*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 150, 227, 156, -135, -718?\n\"Answer: -12*n**3 - 2*n**2 + 167*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7685.343 millennia in decades?\nAnswer: 768534.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*g - 2 + 3 - 57*g - 67*g in the form k + l*g and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven eighths of a day?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4227*i**2 - 12*i - 36. List the prime factors of z(-2).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddgqggd. Give prob of picking 3 d and 1 q.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)*q\/(q**(-2\/5)\/q))\/(((q*q*q**(-1\/4))\/q*q)\/((q\/(q*q**(1\/4)))\/q))*((q**(-5)*q)\/q*q\/q**(-8))**(-4) assuming q is positive.\nAnswer: q**(-123\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 134*k. Let c(v) = -2*v - 862. Calculate x(c(u)).\nAnswer: -268*u - 115508","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10 = -10. Let k = 17 - 12. Suppose 0*v = u - k*v - 6, -u - 5*v = 4. What is the least common multiple of t and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 4*o - 4. Let z be n(6). Suppose -7*l - 18 = -z*l. Calculate the least common multiple of (42\/9)\/(38\/l - 2) and 22.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*t**4 + 6*t**2 + 4*t - 5*t**4 - 16*t**4 to p*t**4 + z + v*t**2 + c*t**3 + a*t and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -9\/13, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from {n: 2, f: 1, h: 3, b: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 256*r**3 - 3448*r**3 + 3191*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 10111100111100?\nAnswer: -10111100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 34\/6 + (-2)\/(-6). Suppose -j*n = -n - 15. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -6*n + 28. Let p be v(5). Let s be p - (3 + -4 + 49). What is the remainder when 98 is divided by (s\/(-8) + -2)\/((-14)\/(-168))?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 8*b + 6. Let n(h) = h**2 + 7*h + 5. Let y(t) = -4*n(t) + 3*v(t). Let i be (-2)\/((18\/21)\/(-3)). Let u be (-4)\/14 + (-19)\/i. Give y(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-13)\/g)\/(g\/g**14) assuming g is positive.\nAnswer: 1\/g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2\/8 + 20967*o\/8 + 10485\/4 = 0. What is o?\nAnswer: -1, 6990","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.04 and 483.\nAnswer: -7264.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 194459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 0. Let m = 8 + g. Suppose 0 = -l + 51 - m. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9982, -10092, -10266, -10498, -10782, -11112, -11482?\n\"Answer: c**3 - 38*c**2 - 3*c - 9942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 21 = -3*p - 3*k, 0 = -3*p - 2*k + 18. Let h be (-8 - -2)\/(-1 + -6). Sort 2\/5, h, p.\nAnswer: 2\/5, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29218 is divided by 914.\nAnswer: 884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53717449?\nAnswer: 43, 1249243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 225200 bigger than 225200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78060271 to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38.762 - 0.238. Let f = x - -39.3. Which is the closest to 2\/5? (a) f (b) 1\/165 (c) -1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Let z be (q\/(-2))\/(10 + -8). Suppose 0 = -t + 6*m + 21, 5*m + 25 = 2*t + 4. Which is smaller: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (85 - 35 - 30) + -1 + 81.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91746, 91760, 91790, 91842, 91922, 92036, 92190?\nAnswer: 92390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 + -6.26802.\nAnswer: 14.73198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111001111101 (base 2) to base 9.\nAnswer: -11632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 3*v.\nAnswer: -3*v*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -403 + 1204\/3. What is the closest to -1 in -4, 1\/4, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2264258 is divided by 143.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18388 or -18423?\nAnswer: -18423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 11:26 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -254719, -254731, -254757, -254803, -254875, -254979, -255121?\nAnswer: -255307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Let z(y) be the third derivative of -y**6\/720 + y**4\/12 + 3*y**2. Let f(w) be the second derivative of z(w). Calculate f(s(m)).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 314794273 and 417.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v = -5*g - 64, 2*g + 179 = -3*v. Let i = 64 + v. Let p be i\/(-1) - (-7 - 2). Which is greater: p or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000001100 (base 2) to base 9\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 14. Suppose 0 = v - j*v. Suppose v*y + 3*y = 72. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 r, and 1 a when three letters picked without replacement from zzkazzzrzzdqrdadz.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 93 - 89. Solve 4*m + 0*m + 24 = -5*w, u*w = -m - 17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (3*sqrt(85) - sqrt(85))\/sqrt(5)) + -2*(sqrt(153))**2.\nAnswer: -306 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146 - 9*v + 152 - 10*v - 298 + 17*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-3 - -1) + -130 + 127?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-7)*l*l*l**(2\/9)*l*l**(4\/3)*l**(2\/7)*((l*l**10\/l)\/l**(-8))**(2\/9) assuming l is positive.\nAnswer: l**(116\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -305413 + 13?\nAnswer: -305400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v - 13 = o, -19 = -4*v + 3*o. Let r(d) be the third derivative of d**4\/24 - d**3\/6 - 933*d**2. Determine r(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -6. Suppose 5*l + 5*x - 10 - 15 = 0, l + v*x = 9. Find the second derivative of -3*h**3 + 2*h**l + 2*h + 2*h**3 wrt h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 449860229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2942 is divided by 2727.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 12*q**2 + 12*q + 18. Let l be v(13). Suppose l*h = h - 268. Let b = 137 + h. What is the greatest common factor of 10 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -154 - 132. Let c be (-78)\/18*(-6)\/2. Calculate the greatest common divisor of c and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k = -7*k - 39 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16975.2 nanometers to kilometers.\nAnswer: 0.0000000169752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-40))\/(51\/96135*-26).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*p - 7805*p**2 + 0 + 3 + 7804*p**2)*(-p + p - 2*p).\nAnswer: 2*p**3 + 102*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = w - 2*q, q = -2*w - 7*w - 22 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -151*a**3\/6 - 40*a**2 - 4*a - 16. Let q = 17 - 24. Is p(q) 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 1:20 AM and 1:04 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) + 3*sqrt(95))*4)\/(sqrt(20)\/(sqrt(4)*4)))**2.\nAnswer: 77824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 161 - 101. Suppose -5*q = -2*u - 65, 2*q = 531*u - 529*u + 32. Calculate the least common multiple of q and o.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 11:40 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2097?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3520 and 106480?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 - -0.4. Let z be ((-10)\/6)\/(-2*(-3)\/(-18)). Which is the closest to o? (a) -2 (b) z (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 617503\nAnswer: 123500.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of 2\/21*a**3 + 17*a + 1\/21*a**4 - 4 + 0*a**2. Let k(d) be the first derivative of c(d). What is u in k(u) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**4 + 4*c**4 - c**4)*(1 - c - 1) + 656*c**5 + 560*c**4 + 319*c**5 - 560*c**4.\nAnswer: 977*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 262 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2609766467 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.134 - 41911.0044.\nAnswer: -41910.8704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 0)\/((-2)\/(-8)). Let f = 1149647\/429212 - -1\/15329. What is the common denominator of (-295)\/20*(12\/(-4) + g) and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*c, -5*j + 5*c = 2 - 17. Let o(n) = -25*n - 1. Let k be o(-1). Solve j*r - k + 4 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2*m + 90, 8*d - 10*d = 3*m - 60. Suppose -53 = 3*b + 7. Let j be (36\/d)\/(6\/b). Sort j, -3, 1, -6.\nAnswer: -6, j, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*m = 16*m + 2597 - 6149 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-4 + 14 - -3) + -28?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = 3*a. Let o(u) = -1 - u - 2 + a. Suppose 3*j - 5*s + s = 10, -3*j - 4*s = 22. Give o(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n - 3 - 6*n - 3*n + 3*n. Let z(q) = 28*q - 614. Let o be z(22). Let f(j) = -j + 1. Give o*f(k) + s(k).\nAnswer: -4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (148 - 15 - 2 + 203)*(n + 2*n - 4*n) to l + d*n and give d.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -8395478.859\nAnswer: -8395477.859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s, o = -3*o + 3*s + 12. Suppose -1 = -p + 3. Suppose -p*t + l + 9 = 0, 0 = -t - 3*l - 1. Solve t*a + j = -4, -5*a - 2*j - 7 = o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 6 - (3 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 199\/6389880 and 153\/20234620?\nAnswer: 121407720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 45*h - 3. Let i be g(5). Let p = -216 + i. Solve -2*a = 4 - p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**3\/6 + 2*r**2 - 10*r. Let z(g) = -30 - 27 + 60 + 2. Suppose 4*d - k = 14, -5*d + k + 0*k = -17. Give d*l(v) - 2*z(v).\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*1117.9.\nAnswer: 13414.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - u**2 - 2. Let g = 12 + -14. Let c be o(g). Let z(a) = 49*a**2 + c*a**2 - 14*a**2. Let f(r) = -r**2. Calculate f(z(m)).\nAnswer: -1369*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111*a**2 + 37*a**2 + a - 110 + 35*a**2 + 38*a**2 to the form j*a + k*a**2 + c and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -253 or -266?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -1\/3, 8, 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -104 + 308. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, -0.1, 5, 52, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -6*c**2 - 66*c + 238. Let v(s) = -s**2 - 14*s + 47. Let u(j) = -2*d(j) + 11*v(j). Determine u(20).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 837 + -842.397. What is v rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 7*f - 121, 2*o = -1502*f + 1506*f - 66 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -14. Let o(d) be the third derivative of -d**6\/120 + 3*d**5\/20 - 3*d**4\/8 + d**3\/3 - 5*d**2. Is o(k) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*l - 10, 4 = -l + 3*f - 0*f. Solve -3*n - 17 = l*t, -t + 4*n - 3*n = 5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -135255, -270239, -405223, -540207, -675191?\nAnswer: -810175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 37*q**3 + 5*q**2 + 43. What is the second derivative of k(v) wrt v?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46369\/3 greater than or equal to 15457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/sqrt(44) - (sqrt(2057)*3 - sqrt(2057))**2 - -5*(sqrt(1377) + (-2*sqrt(1377) + -4 - sqrt(1377)))**2.\nAnswer: 1441*sqrt(17)\/2 + 19392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 5*t - 3*n - 48327 = 0, 0 = t + 5*n - 9643. Round t to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5250*0.4.\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -4905 and -5059 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9.062726 centimeters?\nAnswer: 90627.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -3)*(-38)\/38\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n**5 + 8*n**2 + 0*n**4 + 16*n - 2*n**5 - 32*n**3 + 3*n**5 - 4*n**4 - 4 = 0 for n.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 43*z**2 + 6*z + 6. Calculate g(-1).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, i: 1, p: 3, x: 3, m: 2, f: 1}. What is prob of picking 1 f, 1 m, and 2 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 25 = 4*l, 292*l = -2*o + 294*l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 122126492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 38\/(-4) - 1\/(-2). Let s(l) = l**3 + 8*l**2 - 9*l + 10. What is the remainder when (3\/(-2))\/(2\/(-36)) is divided by s(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5041533767?\nAnswer: 5041533767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 285561022 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 499346 to the power of 1\/2, to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u + 7*u + 7*u - u**2 - 11. What is the remainder when 27 is divided by o(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*i + 669 + 687 = 894 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 470 + -451. Calculate the remainder when s is divided by (-4)\/(-1 + 3) - -12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 192.999604 - 193. What is p rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10041*l**4 + 19 - 21 + 2*l**2 - 10598*l**4 + (-l + 0 + 0)*(4*l**3 + 0*l**3 - 6*l**3).\nAnswer: -555*l**4 + 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*d**2 + 66*d**2 + 35*d**5 + 5*d**5 - 36*d**2 wrt d?\nAnswer: 2400*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/((-14)\/42)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 2. Let c(x) be the third derivative of x**3\/3 - 464*x**2. Determine -4*c(p) - 3*h(p).\nAnswer: 3*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 306*i**2 + 31212*i + 1061208.\nAnswer: (i + 102)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-355)\/10 - (-198)\/6\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 704 - 351 - 6*i**2 - 353. Let t(b) = -2*b**2 + 141*b. What is t(s(y))?\nAnswer: -72*y**4 - 846*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4*k**3 + 21*k**2 + 17*k - 2. Let h be u(-8). Suppose 4*z - 5473 - 2291 = 0. Let f = z + h. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329 is divided by 63.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**13*x**(2\/31)\/x)\/((x\/(x*(x**12*x)\/x))\/x**(-5\/2)) assuming x is positive.\nAnswer: x**(1337\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/9854 and -79\/21944.\nAnswer: 8316776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**4 + 2716*v**3 - 204936*v**2 - 639360*v = 0?\nAnswer: -3, 0, 90, 592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by ((-20)\/(-6))\/(2\/9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 69.7, 1\/4, -1\/36, 5?\nAnswer: 69.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 5*v**2 + 6*v. Let l be g(-6). Suppose q = -l + 1. Which is the nearest to q? (a) 1 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 41592*o - 874331. What is h(-21)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15a80 (base 11) to base 4.\nAnswer: -11201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57417 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 9:00 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*x**6 + 208*x**5 - x**2 - 183 wrt x.\nAnswer: -600*x**3 + 12480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-1 + 2)*48\/(-12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9859 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**3 - d**2 + 169 - 238 + d**2.\nAnswer: d**3 - 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1 + sqrt(28)*-3 + (-4 + sqrt(112)*2)**2.\nAnswer: -70*sqrt(7) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d - 152*d - 27*d.\nAnswer: -190*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) -3 (c) 1266 (d) 2\/9 (e) -2\/3 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 - 2*a - 4. Give q(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -46.751 to 1 dp.\nAnswer: -46.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547222732 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7728 - 7733. Which is the third biggest value? (a) r (b) -1\/3 (c) 1\/184\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2. Let l(v) = 3*v - 25. Calculate l(c(y)).\nAnswer: 6*y**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (64067 + 7\/((-63)\/72))\/((-12)\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 765, 1165, 1133, 669, -227, -1555?\n\"Answer: -216*a**2 + 1048*a - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 6:30 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o + 47. Let t be a(10). Suppose t = -2*w + 13. Let j be ((-3)\/2)\/w*(2 - 0). Let c(f) = 12*f - 1. Give c(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6240074 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68716474 + 6*f**2 - 7*f**2 - 68716474 + 3*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_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: What are the prime factors of 93847?\nAnswer: 13, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -4. Suppose -4*q = 5*i - 102, -l*q = 4*i + 21 - 98. Calculate the remainder when q is divided by (-130)\/(-11) + (-8)\/(-44).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1335*u - 310 - 269 = 1142*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -t - 26, 12 = -5*g - 4*t - 26. Let k be 2320\/87*g\/4. Which is bigger: -0.1 or k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 - (-6 - (-4264)\/738)\/((-175)\/(-3195)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -58 - 54 - r**4 - 16*r + 110 in the form n*r**4 + h + q*r + o*r**2 + c*r**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47551.15 seconds to microseconds.\nAnswer: 47551150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1010, -885, -762, -641, -522?\n\"Answer: -i**2 + 128*i - 1137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -36740 - 39225.16458\nAnswer: -75965.16458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, 2, -5, -8 in descending order.\nAnswer: 4, 2, -5, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4360616\/(-460))\/((-4)\/10) + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 610 and 305?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 194 - 2034. Let n = -7 - 24. Let z = x + n. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + (-46)\/50)\/(3894\/295). Let l(n) be the second derivative of -4\/33*n**3 + w*n**6 + 4\/33*n**4 + 5*n + 0*n**2 + 0 - 1\/22*n**5. Solve l(x) = 0 for x.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11850*r**3 - 3812*r**3 + 12289*r**3 + 10356*r**3)*(-1 - 4 + 6) to the form y*r**2 + q*r + g*r**3 + k and give g.\nAnswer: 30683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awcavaw. What is prob of picking 2 a?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, u: 2, t: 1, o: 1}. What is prob of sequence oj?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 87674 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*s - 16, 0*s + 5*s - 24 = -4*o. Let z(i) = 22*i**3 - i + 1. Let m be z(o). Let a = m - 13. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-60)\/25)\/(10\/(-12175)). Let v = -1739 + j. What are the prime factors of v?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 3*l**5\/5 - 1341*l**4\/4 - 7*l**2 - 41*l - 3247. Find the second derivative of q(b) wrt b.\nAnswer: 36*b**2 - 8046*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, -0.2, -9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -170083 - -3?\nAnswer: -170080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.62 + -0.62. Let z = 14.1 - m. Sort z, -0.2, 17\/2 in decreasing order.\nAnswer: 17\/2, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12*1173808\/816 + 2\/17 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*f + 2*f. Let j(z) = -z**3 + 4*z**2 + 5*z + 4. Let v be j(f). Suppose -6*h + v*h + 10 = 0. Solve 6*q + h = -5*l + q, -3*l = -4*q - 18 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -4*v + z, -5*z = -v - v - 23. Suppose -2 = 4*a - 18. Let d be (9\/(-6))\/(v\/a). Is d at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1139*v - 12398. What is q(9)?\nAnswer: -2147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2)*2 + sqrt(10)\/(sqrt(35)\/sqrt(7)))**2*1*4.\nAnswer: -24*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603 is divided by 249.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 37566236 or 37566238?\nAnswer: 37566238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 - 60.96. Let s = u - 0.04. Let j be 10\/(-4)*((-72)\/(-15))\/6. What is the second smallest value in s, 2, j, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 8:46 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 246332.1 and -0.2.\nAnswer: -49266.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 6*u. Let n be y(-6). Calculate the smallest common multiple of (-3)\/(-5) - 162\/(-30) and ((n - 1) + 0)*-11.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7847b (base 14) to base 15.\nAnswer: -5b6a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.13 + 14.13. Let b = 11 - a. Suppose 18*r = 6*r. Sort -0.4, b, r in decreasing order.\nAnswer: r, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*t + 128*t = -844. Let m = t + 429. Solve -i - 11 = -m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a decade in years?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2. Let d(i) = 48*i. Let c(s) = -6*s. Let r(j) = -33*c(j) - 4*d(j). Calculate y(r(b)).\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -1 + 24\/6. Suppose 6*m + 4*m = p*m. Solve 3*c + 11 - 14 = m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 184, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 8 - (-21 - (-34 - -6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 3)*(-w - w + 4*w)*(1011 - 2093 - w + 1027)*(3 - 3 + 2*w) as n + x*w + s*w**2 + g*w**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-15))\/((-1)\/(-5)). Let x be k*(-38)\/4*1. Calculate the common denominator of 13\/32 and (x - 0)\/(70\/25).\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75344 and 1845097.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 32 = -0*q + 4*j, 0 = q + 5*j - 14. Suppose -2*c = 2*g - 14, -50*c + 3*g - q = -47*c. Is 29\/31 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 1:18 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-6))\/(1 + 665*5\/(-3330)). What is the greatest common factor of 74 and o?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5)*a**1\/a*a*a)\/((a*a**(-1)*a)\/a*(a**(2\/5)*a)\/a))\/((a*a\/(a\/(((a**2*a)\/a)\/a)))\/(a*(a**(2\/3)*a)\/a))**(6\/5) assuming a is positive.\nAnswer: a**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(2\/(-289)) - (-111964)\/9736?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v - 27*v - 31*v + 85*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 427*i + 296. Let s(x) = 3*x - 11. What is s(p(l))?\nAnswer: 1281*l + 877","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - 9*h. Suppose 4*l + 10 = -l. Let i be 7 + 1 - (-2)\/l. Is g(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -576919 at most -576917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -61. Let o = -59 - p. Let z = o - -30. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - a**2 - 1. Suppose 0*m = -3*m + 9. Let c be t(m). Let b = 239 + -86. Calculate the highest common factor of c and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdff when four letters picked without replacement from {d: 5, f: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3136479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4 = -2, 4*i + 2*q - 564 = 0. Find w, given that -12*w**4 + 44*w - 144 + 184 - i*w**3 - 204*w**2 - 80*w = 0.\nAnswer: -10, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**2 + 6*i - 6. Let f be n(4). Let m = -3 - f. Suppose -2*z + 5*r - 16 = 0, 2*z - r = -z - m. Sort 5, z, 0 in ascending order.\nAnswer: z, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m - 5. Let i = -10 + 61. Suppose -2*k - i = -2*h + 3*k, 25 = -5*k. Let v be n(h). Solve 3*j + w = -0*w + 4, 5*j - v = -3*w for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.14 - 5.14. Sort q, -4, 2, 6.\nAnswer: q, -4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000005332 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 5 = -5*o. Suppose 3*j = m - 3 + 2, o*m - j = 15. Let t = m - -9. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9421910 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4106*i**3 - 47574?\nAnswer: 12318*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 4*n = 3*r + 42, n - 14 = -3*r. Solve 5*i + n = -2*y, 3*i = -i + 3*y - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31096168 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 325 divide 52919750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, b: 3, m: 3, t: 3}. Give prob of sequence wtbm.\nAnswer: 9\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 5, -4 in ascending order.\nAnswer: -4, -1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -3\/7 in descending order.\nAnswer: 5, 4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/26 - (-6723)\/(-1079)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1158 in 15, 2\/5, 3, 0, 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -29*h**3 - 13*h**2 - h + 2. Let c(r) = -59*r**3 - 29*r**2 - 2*r + 4. Let b(x) = 4*c(x) - 9*m(x). Determine b(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -1)\/((-4)\/14). Let r(z) = 2*z**2 + 6*z + 27. Let d(a) = a**2 + 2*a + 1. Let u(n) = -d(n) + r(n). Is u(v) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of l**3\/3 + 5*l**2\/2 - 14*l + 35. Let d be z(-7). Solve d = a - 4*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 2:27 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 234817712*m**4*n**2 - 326*n**2 + 147*n + 142 with respect to m.\nAnswer: 939270848*m**3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86414314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 6. Let g(w) = 17*w + 0*w - 108 - 11*w + 31*w. Let y be g(3). Solve 2*p = y*p + o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + 2*a - a)*((-2 + 4 - 3)*(-3 + 1 + 6) - 1 + 3 - 3).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1343322 (base 5) to base 3.\nAnswer: -1102100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -194.3*0.21\nAnswer: -40.803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-27)\/6)\/(-2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -4, -3, 2\/9 in descending order.\nAnswer: 2\/9, -2\/3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 2*r + 1. Let c be d(2). Let n = 4 - c. Let v be (-6*n)\/(1\/(-1)). What is the greatest common factor of 27 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 3*y**2 - 10*y + 2. Let v be l(0). Put 0, v, -1, -9, -5 in ascending order.\nAnswer: -9, -5, -1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10*1\/(-1 + -1). Suppose -j*b + 3 + 17 = 0. Suppose 0 = b*f - 2*w - 34, -8 = -3*f - w + 5. Solve z = f*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 20*w + 252 = 0. Let x = w - -252. Solve 0 = 5*b + p - 29, x*b + 3*b - 3*p = 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 3739 = 3695. Let j(s) = w - 15*s**2 - 826. Let r(m) = -3*m. Calculate j(r(u)).\nAnswer: -135*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -4*y - 13. Let b be x(-6). Let g(u) = -112315*u**2 + 3*u + 82. Let k be g(b). What is k rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 z when four letters picked without replacement from zzzzzzjjzzzjzjzzzj.\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64 and 6522592.\nAnswer: 13045184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.1 (b) 4\/5 (c) 0.45 (d) -5 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*-1*(-2)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 47, 104, 183?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/9)\/1)\/((2\/(-180))\/((-134)\/670)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnxp when four letters picked without replacement from xpnp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-9) - (-16)\/9. Solve d*q - 5*n - 7 = 0, q + 16 = -0*q - 4*n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-28)*(-2)\/(-2)*2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 5*q**2 + q + 1. Let h be t(-5). Let m = 19.9 + -20. Which is the nearest to -1\/2? (a) h (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -21) + -12 - (4 + 77) - 15.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -228838, 3, -321, -1 in increasing order.\nAnswer: -228838, -321, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11 - 0*(-4)\/32*-4. Suppose -l*y = -9*y - 8. Suppose j = -y*w + 96, -j + 58 = w - 29. Calculate the remainder when j is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 4, 7\/6, -25\/121 in ascending order.\nAnswer: -25\/121, 0.1, 7\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(33\/(-5 - -2)). Let r be (1\/(-6))\/((-9)\/6546). Let x = 121 - r. Which is the closest to 2? (a) x (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 73920, 147844, 221768, 295692?\n\"Answer: 73924*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f**3 + 0*f**3 + 0*f**3)*(f - 4*f + 5*f)*(-2 - 4 + 4)*(-1153 + 5019 + 609) as u*f**4 + s*f**2 + a*f + k*f**3 + w and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26017995\/38 greater than 684683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (44\/(-12) + 2). Let y = l + 19\/9. What is the closest to -1 in 5, y, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 262, 395, 528, 661?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12878\/1697 or -9?\nAnswer: -12878\/1697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-61) - (-186983)\/(-2091751).\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46507?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**0))\/(b*(((b*b\/((b*b\/b**(-1\/4))\/b))\/b*b)\/b*b)\/b*b*b))**(-3\/17)\/((b**1)**(6\/23)\/(b**(1\/3))**(11\/6)) assuming b is positive.\nAnswer: b**(11761\/14076)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 13 + 16 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 122784118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.176? (a) -3 (b) 1\/107 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(119)*-3 - sqrt(119)) + sqrt(119)))\/(sqrt(847) + -2*sqrt(847)) + 1.\nAnswer: -9*sqrt(17)\/11 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 95 + 2*q**2 + 239*q - 490*q + 225*q. Let k = 24 + -16. Calculate the remainder when f(9) is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**5\/20 + w**3\/6 - w**2 - 3*w. Suppose -k - 1 + 3 = 0. Determine c(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*z - 5*v - 9, -2*z + 2*v - 4 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((171\/38)\/((-6)\/8))\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16 and 2224.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 20 = -u, 58*a - 4*u = 55*a - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2\/17885, 0, 11, 32, 3?\nAnswer: 2\/17885","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-66)\/4)\/((-3)\/4).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10571 or -10981?\nAnswer: -10571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1031594.46612211 + -8.\nAnswer: 1031586.46612211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 11780*s - 9684*s to p*s + o and give p.\nAnswer: 2096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 332)*(-280)\/(-12) a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 548.0431 microseconds in nanoseconds?\nAnswer: 548043.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-28) + -4 + (-4)\/(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p**2 + 7*p - 28. Determine c(7).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -107, -297, -3, 3, 0.1, 3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of v**5\/60 - 173*v**3\/6 - 129*v**2\/2 - 3*v + 1. Let o(q) be the first derivative of t(q). Differentiate o(l) wrt l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179403468 times 0.2?\nAnswer: 35880693.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161262662?\nAnswer: 2, 11, 7330121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6)*20\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -561*q. Let z(g) = 2*g**2 + g. What is z(m(d))?\nAnswer: 629442*d**2 - 561*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -8*w + 293. Give v(22).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4981 is divided by 217?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 342437235?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (157\/(-1570))\/(1\/(-6)). Which is the fourth smallest value? (a) -2\/15 (b) -0.01 (c) k (d) -3\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {d: 3, o: 1, m: 1, l: 1, r: 7}.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2108*n**3 + 2025*n**3 - 5 + 4 + 3.\nAnswer: -83*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 5 (b) 4 (c) 3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 6*v - 5. Let x(t) = t**2 + t - 1. Let p(z) = -j(z) + x(z). Determine p(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15137036)\/6954)\/(5820\/5569857). Let a = -127073621\/61 - m. Let t = a - 6\/1843. Find the common denominator of 53\/18 and t.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2416 = -222*f + 4192 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3269 (b) 2\/17 (c) -10 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2332129 = 4*p, -117*p + 3*a = -113*p - 2332183. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -272 (base 8) to base 9\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117544621?\nAnswer: 19, 61, 101419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 252, 4, -23 in decreasing order.\nAnswer: 252, 22, 4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 162137 - 1?\nAnswer: 162136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -d**4 - 3*d**3 + d**3 + 308*d - 315*d as s + i*d**4 + u*d + h*d**2 + m*d**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1059754368 to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -3*j + 3*k, 2*k - 15 = -7. Suppose 20*i - 39 = 7*i. Put i, j, 2 in increasing order.\nAnswer: j, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46593 = 1746*n - 243*n for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 = 2*s + 53. Suppose -13*y = -8*y - s. Let l = -23 + y. Sort l, -1, -2.\nAnswer: -2, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 5. Let q(g) = -6*g**3 - 2*g**2 + 5. Let j(x) = -3*x**3 - x**2 + 3. Let t(h) = r*q(h) - 5*j(h). Find the third derivative of t(s) wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/7 - 732\/(-14). Suppose -r - 36 = -2*m. Calculate the highest common divisor of m and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4649339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 159*d**2 - 2*d - 2. Let z be c(2). Let s = z - 233. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 4*m - 4*m - 4. Let w be j(6). Suppose -l + 2*l - w = 0. Is 2 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1229.7 + -146.7. Let r = -1082.9 + y. Let f = -2.2 - 0.8. Which is the closest to r? (a) -5 (b) -2\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 16, v: 4}. Give prob of sequence vvb.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 3 + 5 + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 45 - ((-13487018)\/4218)\/(-71)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 128 = 10*z. Let c be (-1445)\/(-35) + 5\/((-140)\/z). Suppose 0 = -43*i + c*i + 16. What is the highest common factor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89652531 to the power of 1\/2, to the nearest integer?\nAnswer: 9469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -363.2568955 and -3834.\nAnswer: -4197.2568955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**3 - 34*z**2 - 5*z - 85. Let p be o(-17). Which is the second biggest value? (a) 3 (b) p (c) -2\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 0.12, 1\/4, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**5\/20 + 5*y**4\/12 - y**3\/6 - 2*y**2 - 2*y. Let m be k(-5). Let c = 2 + m. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 254?\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 896.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1428 and 9883545.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 - -68. Which is bigger: 0.03 or h?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/132 and -31\/132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134500.\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + f + 53, 5*g - 2*f - 135 = -0*g. Calculate the greatest common factor of 12151 and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4678 is divided by 4063.\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 653363001 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/2173000 and -7\/347680.\nAnswer: 8692000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/9 - (-12)\/18. Let x be 7\/((-21)\/(-9)) - (1 - -2). Which is smaller: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-132))\/((-27)\/72)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 1. Let n be d - 2*(-1 + 0). Let q = n - -47. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6982 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.98 and 6.\nAnswer: 53.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (21 + -60)) + -17.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21373 divided by -319?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*x, 0 = 2*g + x + 8 + 11. Let k(t) = -t - 14. Let r be k(g). Let l be (-3)\/r + 312\/(-91). Which is smaller: l or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1692165.49 rounded to the nearest 10000?\nAnswer: -1690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/sqrt(6)*-3)\/sqrt(2).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4530*n - 27175. Determine q(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m + 5. Let y be x(-4). Let v = -23 + y. Let -12*q - 15*q**2 - 10*q**v + 22*q - 35*q**3 = 0. Calculate q.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5473?\nAnswer: 13, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**5 - 13*p**5 + p - 3*p + (-p**3 + p**3 + p**5)*(4 - 3 - 3) - 26*p**5 + 214*p**3 - 214*p**3.\nAnswer: -45*p**5 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*o + 319 = -789 - 992 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 35\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-62)\/(-72) - 36\/48. Let g = -4.28 - -0.28. What is the closest to -2\/7 in -0.8, g, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7581*v**2 - 12851*v**2 - 4428*v**2 - 3*v + 441 wrt v?\nAnswer: -19396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rnnnmmnnnrnmlnnl. Give prob of picking 1 l and 2 n.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.6 (b) -1 (c) 4 (d) 0.229\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*o - a - a, a = 4. Let s be 1*-3 - (-23449*787 + o). Let v = 3054358 - s. What is v rounded to the nearest one million?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 15869\/2*a**4 - 49*a**5 - 49163\/2*a**2 - 320912*a**3 + 65286*a + 13122 = 0.\nAnswer: -2\/7, 1\/2, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4400, -3, 5 in increasing order.\nAnswer: -3, -1, 5, 4400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 3*b + 29. Let i(z) = 3*z**2 - 15*z + 147. Let p(s) = 2*i(s) - 11*r(s). What is the derivative of p(q) wrt q?\nAnswer: -10*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**2 - 6*b**2 + 4*b**2 - 3 - b**2.\nAnswer: -5*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38247764*g*x**3*z**3 + 2*g*x**3 - 75206*g*x**2*z**2 - g*x*z**2 + 4*g*z**3 - z wrt x.\nAnswer: 229486584*g*z**3 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1720 = -5*j, 4*x - 2*j = 5031 + 1777. What is the least common multiple of x and 500?\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*d**4 - 55*d**3 + 110*d**2 + 300*d - 360 = 0. Calculate d.\nAnswer: -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001 to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18430 - 5040?\nAnswer: -23470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1337 + -1337)*(2 - 18\/8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 36 - 144 = 0. Suppose x = 4*x + a. Is ((-3)\/x)\/(2\/652) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 450 and 15?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 968 and 99704.\nAnswer: 99704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-6)\/((-6)\/2) - (-18 + -25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19168 divided by 305.\nAnswer: -19168\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-385)\/14)\/(-5) + 2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 - b**2 - 2*b**2 - 5342 - 2*b**2 + 545.\nAnswer: 2*b**2 - 4797","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of y**4\/78 + 2*y**3\/13 + 5*y**2\/13 + 15*y - 49. Let o(s) be the first derivative of x(s). Factor o(m).\nAnswer: 2*(m + 1)*(m + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -19 and -28.6.\nAnswer: -47.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*t + 8 = -60*t. Let c(a) = -a**2 - 5*a + 6. Let j be c(-5). List the prime factors of 70\/8*(t + j).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633572?\nAnswer: 2, 158393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2. Let a(z) = -14045*z. What is m(a(p))?\nAnswer: -394524050*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2384 and 2.\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15 - (5\/(-5))\/(1\/(-3)). Suppose -y*n = -16*n + 32. What is the greatest common divisor of 1 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33768)\/3216*-13*(-2)\/12\nAnswer: -91\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**5 + 10*l**4 - 10*l**2 + 5*l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8*-5*(-7)\/140. What is the hundreds digit of (c + -9)*(-3764)\/28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 44859467.\nAnswer: -224297335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 477 divided by 1467?\nAnswer: 53\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3432 divide 6012864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 0)*4 - sqrt(3) - -5*sqrt(27).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 524315*d*z**3 - 3*d*z**2 + 14*d*z - z**3 + 4254*z**2 wrt z.\nAnswer: 3145890*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -14*v - 373. Determine d(-28).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -413*w - 1483 = -8286 - 631 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -88 - 392. What is the common denominator of -107\/18 and (-4)\/(-12) - (-2 - (-1028)\/k)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-14)*i)\/((i*i\/(i\/(i\/i**(-15))))\/i)*(i\/(i*i**(-2\/19))*i)**(-3\/4))**(-5) assuming i is positive.\nAnswer: i**(10955\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104 - 1?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/8 and -39\/481539782.\nAnswer: 1926159128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57*a + 70*a + 74*a + (-1 + 1 - 7*a)*(5 - 4 - 5).\nAnswer: 115*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 25*x. Let m(b) = -22*b - 990. Give u(m(s)).\nAnswer: -550*s - 24750","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 7. Let p(h) = h**3 - 7*h**2 - 6*h - 9. Let a be p(8). Let c be r(a). Let x(v) = v - c*v + 5*v. Let f(w) = -5*w. Calculate x(f(i)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*b + 36*b + 953*b**3 - 947*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 714 a factor of 184719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -256254?\nAnswer: 256249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3193 - 3194.3. Which is smaller: l or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(3\/8)*l\/(((l**0\/l)\/l*l)\/l*l)*l*(l\/(l*l**(-1\/3)\/l))**46 assuming l is positive.\nAnswer: l**(1577\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/(-12)*(3 - 2). What is the second smallest value in -5, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 1.9306902.\nAnswer: 0.77227608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + 32.9. Let f = 32.999908 - g. What is f rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 8*n**2 + 26*n - 131. Let k be g(7). Let a(r) be the third derivative of r**k - r**3 + 0 + 7\/8*r**4 - 3\/20*r**5 + 0*r. Factor a(b).\nAnswer: -3*(b - 2)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4627502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is a8 (base 14) in base 7?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 51 = -44*f + 89*f. Let g(t) = -2*t**3 - 2*t**2 - 11*t + 13. Let d(k) = -k**3 - k**2 - 6*k + 7. Let j(i) = 11*d(i) - 6*g(i). Give j(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 1334132333?\nAnswer: 1334132331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 724 and 19729?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*n + 13*n**2 + 1601 - 1600 - 15*n**2)*(-n**2 - 5*n + 5*n).\nAnswer: 2*n**4 - 12*n**3 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 16 = -4. Suppose -2*k + 0*r = 4*r + c, 0 = -3*k + 2*r - 46. Let b = k - -20. What is the greatest common factor of 8 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4\/45 - 23\/90. Let j(w) = w**2 + 6*w + 5. Let l be j(-4). Let m = l - -4. Which is bigger: m or v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.042 - 1.132. Let m = 0.09 + y. Let n be 1\/(-3)*6\/11. Sort n, m, 2 in ascending order.\nAnswer: n, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, -23695, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c + 6 + 3*c**3 + 7*c**2 + c**3 - 11 - 3*c**3. Suppose -4*q - 21 = -q. Is r(q) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, 2\/31, -450, -45?\nAnswer: -450","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13962 and 779844?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -9967229.667708 and 0.33.\nAnswer: -9967229.337708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 greater than -189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103.69 + -100.69. Which is the fourth biggest value? (a) -3\/7 (b) -6 (c) z (d) 0.03 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 890.9646ms in microseconds?\nAnswer: 890964.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -10*q**2 + 14*q + 2. Let j(a) = 5*a**2 - 6*a - 1. Let c(v) = 3*d(v) + 5*j(v). Let r(t) = t**2 + 1. Let h(b) = c(b) + 6*r(b). Determine h(-10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 3*z**2 - 15*z + 25. Let t be m(3). Suppose 4*d + 73 = -7. Is t < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 + 43. What is the common denominator of k and 40\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1081.7 - 1085. Which is the nearest to t? (a) 4 (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -198*j + 42. Let z be o(-7). Let p be 36\/(-198) - z\/(-7975). Which is greater: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w**4\/6 - 289*w**3\/6 + 3155*w**2\/6 - 3671*w\/6 + 133 = 0 for w.\nAnswer: 2\/7, 1, 19, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37 + -80642?\nAnswer: -80606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 35702 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4742493 and 0.62.\nAnswer: -2940345.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 + 6*z - 26. Determine s(7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 108 - -165. Let b = 12 + m. Does 15 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/69*(-9)\/(-4). Is l bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c*(c**(-1\/2)\/c*c)\/c)\/c)\/c)**(-1\/75)\/((c*((c**(-5)*c)\/c*c)\/c)\/c*c**(-2\/3)\/c))\/((c**(-1\/2)\/c)\/c**(-3\/7))**(-7\/8) assuming c is positive.\nAnswer: c**(6899\/1200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10144 (base 5) in base 13?\nAnswer: 3cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -624688.944 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 4*n**2 + n + 3. Let b be v(3). Let j = 22 + b. What is the remainder when j is divided by 38\/(-6)*(-2 + -1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 108*k**3 + 13*k**2 - 13*k + 803. Let s(u) = 17*u**3 + 2*u**2 - 2*u + 134. Give -2*g(c) + 13*s(c).\nAnswer: 5*c**3 + 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2476440 and 1935.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**2 + 6*v + 10. Let n(k) = 13*k**2 + 11*k + 19. Determine -11*b(d) + 6*n(d).\nAnswer: d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -76 + 24 - (-4 - -6 - 1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 82, 1\/10, -0.3, 3 in descending order.\nAnswer: 82, 4, 3, 1\/10, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-1684.\nAnswer: -8420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 130007312491 less than 0.119?\nAnswer: -130007312490.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8414 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 139\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 184 and 1817.\nAnswer: 14536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 935631303.\nAnswer: 3, 47, 6635683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 77755233*b**3 + 85158858 wrt b?\nAnswer: 233265699*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*s**2 + s + 208*s**2 - s in the form v*s**2 + g + x*s and give v.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -22111110201110 (base 3) in base 5?\nAnswer: -2124013210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4107939463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2. Let j = 240 - 238. Let y(m) be the third derivative of 0*m**4 + j*m**2 - 1\/10*m**5 + 0 + 0*m + 0*m**3. Determine y(s(l)).\nAnswer: -24*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l - 16 = 0. Let q = -12 + 27. Let b = l + q. What is the smallest common multiple of 2 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/14*49\/84. Let w(j) be the second derivative of -f*j**4 + j**2 + 2*j + 0 + 0*j**3. Find d such that w(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 3:55 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99303974 by 4513817.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + m + m + 16, 4*z - m = 92. Suppose 5*p - 1 = 9. Suppose -p*f = f - 18. What is the greatest common divisor of f and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.7? (a) 20 (b) -1\/8 (c) 0.1 (d) -3 (e) 387\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 12:11 PM?\nAnswer: 169","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03577 - 0.0388. Round h to four dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 1413774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f. Let y be o(4). Let r be 24\/20 - (-1)\/(-5). Let s be (-1)\/((-2)\/r)*y. Solve -6*n + s*n + 15 = 3*z, 4*z = -n + 7 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m + 273. What is the units digit of z(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*q = 189*q - 21 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - -26)\/(-1) - 2. Let g be ((-1)\/3*-5)\/(v\/90). Let b be (2\/(-7 - g))\/(16\/2). Which is bigger: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 711*q**2 + 148*q - 1. Determine i(-1).\nAnswer: 562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6*d = -d + 946, -k + 4*d = -242. Let i be 63\/k*(-15)\/(-7). Let n = 1\/13 - i. Put -0.2, 1\/5, n in decreasing order.\nAnswer: 1\/5, -0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -368 + 458. Calculate the remainder when 267 is divided by s.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1\/13, 2, 1.467, 3, 4\/27, 2\/3?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-195)\/(-26))\/(117\/(-91806)*-55)\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*d**3 + 11*d - 98*d**3 - 11*d + 55*d**3.\nAnswer: -105*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(4\/(-12)) - (135\/(-27) - 4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 8:30 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -12*j - 152. Let b be r(-13). Let a(o) = 8*o - 1. Calculate a(b).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*o + 41*o = 3060. Let u(w) be the first derivative of 0*w**2 + o - 2\/3*w**3 + 0*w. Let p(b) = -31*b**2. Determine p(u(f)).\nAnswer: -124*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 173570797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 347 or 346?\nAnswer: 347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1558438355?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)*3*-1 + (sqrt(114) + sqrt(114) + -2*sqrt(114))*3)\/(-3*(sqrt(96) + sqrt(96) + (sqrt(96) - sqrt(96)*-1))*4).\nAnswer: sqrt(19)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183 = -34*o + 225 - 144 - 102 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 1889*f**3 - f. Suppose 3 = -m - q, q = -4*m + 6*q - 12. Let c be a(m). What is c rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1063*t = 1042*t + 44636259 - 13646202. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 2*s + 300. Suppose 2356*j - 2354*j + 6 = 0. Let m = j - s. Is m a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4\/149?\nAnswer: -4\/149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 + -20. Suppose 11*x = a*x - 18. Let h(m) = 4*m + 7. What are the prime factors of h(x)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 - 31*j**2 + 54*j - 11. Calculate t(-17).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 478791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**4 - 272*v**3 - 3071*v**2.\nAnswer: 24*v - 1632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r**2 - 402*r + 363. Calculate c(-68).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g. Suppose -2*z + 4 = i, -3*i - i - 16 = 0. Let s(f) = -377 + 377 + z*f. What is s(y(q))?\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - c - 97 = -7*d, 0 = -3*c - 3. Calculate the lowest common multiple of d and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - ((-1)\/(-3))\/((-5208)\/220410).\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 543398 (base 11) to base 5.\nAnswer: 210241112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1992 divide 2013346272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 10.907 (c) -0.4 (d) 24 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*f - 3. Let j be 3\/(4 - 10\/f). Suppose -2*d - j*z + 178 = -0*z, -329 = -4*d + 5*z. What are the prime factors of d?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58190 or -58223?\nAnswer: -58190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*p - 13 + 1 = 0, 3 = -5*l + p. Suppose l = -g + 2*q + 10, -q = -0*g + 3*g - 16. Let f(k) = k**3 - 5*k**2 - 5*k. What is the units digit of f(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 0*b + 2262*b**2 - b**3 - b - 2251*b**2 + 21. What is the remainder when 47 is divided by o(11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x - 2*x - 1 - 38*x**3 + 8*x + 7*x + 0.\nAnswer: -38*x**3 + 5*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -7*z + 2*z. Let n be (-7)\/2*2*3. Let a = 40 + n. What is the greatest common factor of z and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*p + 124 - 1111 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -615, -1229, -1841, -2451?\nAnswer: -3059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**3 + 14*u**2 + 32*u + 24 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27980933 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 13 + 28)*(-5*o - 1 + 0 + 3).\nAnswer: 10*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 5:30 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 28518644363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - d**2 - 5. Let u be 1900\/200*(-24)\/(-38). Calculate w(u).\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -82, -193, -346, -541?\nAnswer: -778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2269 - 2247) + -59 + 2?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 172 - 151. Let i(b) = -227*b - 2. Let a be i(-2). Suppose -x + 3*y + 909 = 3*x, -2*x = -2*y - a. What is the highest common divisor of x and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111540 times 339?\nAnswer: -37812060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 15*w**3 + 299*w**2 + 74*w + 1722. What is x(-20)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h - 2. Let s be p(-3). Let m(o) = -1 + 6 - 2 + o**3 + 3*o**2 - s*o**2 - o. Let x be m(0). Solve -4*c + 16 = 0, 4*d + c + x*c = 36 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -71. Let q = v - -143. Let u = -88.99999898 + q. What is u rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 - 13. Let r be 1*(2\/w + -2). What is the first derivative of r + 3 - 2*t - 7 wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/12)\/((-6)\/18). Suppose 5 = -c - 0. Let q = 225.7 - 226. What is the nearest to l in 2\/13, c, q?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15.218 + -49.612. Round j to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/4*-8*(-3)\/(-390)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - n + 6. Let i be p(0). Let t be ((-37)\/111)\/(23\/i). Which is the closest to t? (a) -2 (b) 2\/7 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 + 97.8. Let a = 0.4024 + -1.604. Let j = a - w. Round j to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (10 + -3 + -2). Let j be 30\/(-4)*(-8)\/6. Which is greater: j or o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - a**2 + 10*a - 3 + 4 + 2 to d*a**2 + k + h*a and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.1281\nAnswer: 0.05124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-7) + ((-152)\/(-28) - 4). Solve -4*b + 5*n + 9 = 0, b - q*n = 6*b - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 8*r - 14. Let f(q) = -2*q**2 - 16*q + 28. Let y(p) = 11*c(p) + 6*f(p). Let l be y(-10). Let k = 6 + l. Which is smaller: 2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 4*x - 175. Let h(f) = f. Calculate d(h(m)).\nAnswer: -m**2 - 4*m - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 7*z**2 - 8 - 2*z**2 + z**2. Let k(i) be the third derivative of 36*i**2 + 0*i**4 + 0 + 0*i - 1\/6*i**3 - 1\/60*i**5. Determine -6*k(w) + y(w).\nAnswer: -2*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/2 + 23*i**2\/2 + 155*i\/2 + 325\/2 = 0. Calculate i.\nAnswer: -13, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 1620*d. Let k(r) = -118*r - 132. Give l(k(a)).\nAnswer: -191160*a - 213840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -149ba (base 13) to base 16\nAnswer: -986f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4900744*-0.2\nAnswer: 980148.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2143 is divided by 50.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1082395 + 10616.1?\nAnswer: -1071778.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5. Suppose 5*x = -2*n + 2 + 5, 0 = -4*x - y*n. What is the units digit of x\/4 - 2\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101111 + 21010?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (150\/(-90))\/(10\/(-36)). Solve 0 = -3*p - p, 2*v = -5*p - l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 16 = -k + 2, 208*p + 113 = 140*p - 91 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33)\/((-34)\/(-8) - 4). Calculate the remainder when (-1 + 2)*s\/(-12) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37257, 37249, 37241, 37233?\n\"Answer: -8*l + 37265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b**2 - 4*b**2 - 6*b**2)*(-8 + 8 - 7*b)*(0 - 2 - 2) to o*b**2 + p*b**3 + q*b + k and give p.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from dvdddvvvvddv.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -1)\/(16\/(-8) - -12 - 8). Suppose 0*h + 1\/4*h**5 - 3\/4*h**4 + h**2 + 0 + x*h**3 = 0. Calculate h.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2435, -4901, -7367, -9833?\n\"Answer: -2466*i + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51a (base 11) to base 4.\nAnswer: -21302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -113*o**7 + 2*o**5\/5 - 3*o**3 - 3*o**2 - 2226. Find the third derivative of m(u) wrt u.\nAnswer: -94920*u**3 + 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1149 and 15505 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -123*v - 1292*v**3 + 2578*v**3 + 7*v**2 - 1288*v**3 - 7*v**2 + 1102 wrt v?\nAnswer: -6*v**2 - 123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufu when three letters picked without replacement from fukuebu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138 is divided by 311?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*(378 + 1) - (-100 + 98).\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**4 - 116*a**3 - 727*a**2 - 622*a + 1464 = 0.\nAnswer: -4, -3, 1, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (2 - 16 - -7) + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 61\/8 + 461\/4*j**2 + 9\/8*j**4 + 107\/2*j + 141\/2*j**3 = 0. What is j?\nAnswer: -61, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 0 - 2 + 0 - 38*q. Let t be z(3). Let v be t\/12 + (-2)\/(-3). Let w(r) = -4*r**2 - 9*r - 13. Let b(x) = -x**2 - 2*x - 3. Calculate v*b(u) + 2*w(u).\nAnswer: u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-12))\/(-1))\/(1\/4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/50992 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 27, 46, 65?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7.524521 * 0.3\nAnswer: -2.2573563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -3. Let w be q\/(3\/4) + -2. Let d = 1 - w. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 59687873 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.09 + 4.09. Let w = -328577\/7 - -46940. Which is the fourth smallest value? (a) w (b) 2\/11 (c) -0.5 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 604399?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 127749805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/3 (b) -0.5 (c) 0.5 (d) -0.65 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*x - 5*k, -2*x = -3*k - 10 + 2. Suppose 5*f + 4*q = -6, 0 = 2*f - x*f + q + 14. Suppose 0*l - 44 = -f*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 2\/9*i**4 + 2\/3*i**2 + 2*i**3 - 50\/9*i = 0.\nAnswer: -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16576 divided by 74?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyoooyyoyoyy. What is prob of sequence oyo?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -40*-1953165\nAnswer: 78126600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -515 - 73?\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d**2 - 12994*d - 116529. Calculate n(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(i**4 - 2*i**2 + 2*i**2) + 0*i**4 + 2*i**4 + i**4 - 55*i + 32*i**4 + 6 + 54*i - 5.\nAnswer: 34*i**4 - i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c**2. Let s(z) = 568*z**2. Calculate q(s(r)).\nAnswer: 1290496*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -1. Let h = -3.26 - -0.26. Let s = 26 + -26.1. Put s, h, m in increasing order.\nAnswer: h, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36\/151 - -15\/1963. Which is smaller: m or -0.06?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1300 + 1316. Calculate the remainder when (58\/5)\/((-2)\/(-10)) is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, k: 2, j: 2, v: 2, a: 2}. Give prob of picking 1 v and 1 k.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -616876710, -616876711, -616876712, -616876713, -616876714?\n\"Answer: -r - 616876709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 48*z + 1841. Let u be h(-31). Solve 1 = -u*i + 354*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 37\/219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -12 - (-105 - -98).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -v, -v - 5 = 5*m - 2*v. Let j = 0.094 + 0.306. Which is the smallest value? (a) j (b) m (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, n: 1, r: 4, s: 1, x: 3}. What is prob of picking 1 n and 3 x?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002044 to 7 decimal places.\nAnswer: 0.0000204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 79091863?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -72575*v**3 - 11*v**2 + 1987*v - 27 wrt v?\nAnswer: -435450*v - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011010110010001000001 (base 2) to base 14.\nAnswer: 576169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = 20*h + 204 + 972 - 29, 2*v - 6*v - 6*h - 354 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 18, 16, 14, 12, 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + 1. Find the third derivative of 4 + 5*r**i + 4*r**2 - 1 - 3 wrt r.\nAnswer: 300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6189*c + 4242 = -6290*c for c.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3930)\/524)\/(27\/(-4))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 4:03 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49858602*f**4 - 47798968*f.\nAnswer: -598303224*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1205 divided by -115\nAnswer: 241\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1246*b + 1 + 13 + 153*b**4 + 10*b**4 + 63*b**4 - 1251*b wrt b?\nAnswer: 2712*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 3 + 7\/7. Solve 0 = u*h - h + 5*o + 18, 2*o + 3 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1) + -3982 + 4036\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 643 (base 7) to base 16.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c - 31 + 3 + 28.\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20852 is divided by 18963?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1056*f - 1068*f + 2156*f - 3 to b + g*f and give g.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -415\/1742 + 1\/134. Let u = m - -71\/26. Sort -5, u, 4\/7 in decreasing order.\nAnswer: u, 4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 62.01165607?\nAnswer: 60.01165607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*w + 39 = -142*w. Solve -w = 4*g - 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 2:13 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1869 by -3.\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/120*(-193)\/((-740348)\/(-685)).\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 - 2*f**2 - 3*f**4)*(2*f - 2 + 2) + 0*f**3 + 0*f**3 - f**5 - 3*f**5 + 4*f**5 + 0*f**5 - 12*f**5 + 15*f**5 + 6*f**5.\nAnswer: 3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 79789 > 79789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12922)\/129220*-4*(-170)\/(-1).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235.7774 kilometers to nanometers.\nAnswer: 235777400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194*r + 258*r - 275776 = 0. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336911688.\nAnswer: 2, 3, 4679329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -4 - 1 - (-3 + 10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o - 11. Let z(m) = -2*m + 33. Let l(x) = 6*h(x) + 2*z(x). Let d(y) be the second derivative of -7*y**4\/12 + 2*y. Give l(d(v)).\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -25*a**3 + 6*a + 1 - 5*a - 2*a. Suppose 0 = -15*f + 25 - 40. What is the remainder when 51 is divided by u(f)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5542\/3 or -1848?\nAnswer: -1848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211130 - 1001103112?\nAnswer: -1000231322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14030 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*v - 1166*v + 126*v = 40426 for v.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -359167 and -27679?\nAnswer: 331488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o*o\/(o\/(o*o**3)))\/o**(-4\/3))**(-12))**(-22))**1 assuming o is positive.\nAnswer: o**1672","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (61 - 62)\/((4 + 12\/(-24))*4\/392)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, h: 2, i: 3, p: 2}. Give prob of sequence iw.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -359, -720, -1081, -1442, -1803?\n\"Answer: -361*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-28))\/(1386\/1078*76\/18)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 20 + 14*i**2.\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 447389, 447420, 447463, 447512, 447561, 447604?\n\"Answer: -q**3 + 12*q**2 + 2*q + 447376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2*((sqrt(1300) - ((1 + sqrt(1300) - sqrt(1300)) + sqrt(1300)))*-3 + 5)*3)**2 + 5.\nAnswer: -13819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 5, -2, -2\/13, 1540\/9 in ascending order.\nAnswer: -12, -2, -2\/13, 5, 1540\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0*n + 62. Suppose -4*k + 5*t - 10 = -n, 0 = -t + 3. Calculate the remainder when 35 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*t - 10 = -3*y, 3*y = t + 30. Solve 0 = 4*u - z - 2*z + y, 3*u = -5*z + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, a: 1, f: 1, v: 2, p: 1, z: 1}. What is prob of sequence affa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1452.0052 + -0.7948. Round w to the nearest ten.\nAnswer: -1450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 20*k**3 + k. Let a be -1*(1 + -3 + 1). Let y be f(a). Suppose -2*i + i - 1 = 2*p, -4*i + 12 = 4*p. What is the greatest common divisor of y and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*c - 14. Suppose -c*d + 79 + 71 = 0. Solve -3*j + 8*j = d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40541507 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(475))*4 + sqrt(475) + sqrt(475) - (-5 + sqrt(475) + sqrt(475)*2)) + (sqrt(475) + 4 + 2*sqrt(475))*-1)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134548, 134550, 134552, 134554, 134556?\nAnswer: 134558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o - 5*o + 4*o)*(0*o**4 + 4*o**4 - 2*o**4) - 294*o**3 - 279*o**5 + 294*o**3.\nAnswer: -275*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 33*p - 37. Let j be t(18). Is j at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -1\/9 (b) -3 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -439239.984 rounded to the nearest 10?\nAnswer: -439240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -73320 (base 10) in base 9?\nAnswer: -121516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 57*s**2 + 5756*s - 34. Determine y(-101).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/17 - 12468*n\/17 + 24928\/17.\nAnswer: 2*(n - 6232)*(n - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -11*i**2 - 14*i - 11. Let k be r(-36). Let o = -9372 - k. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-2)\/16*-6)*-3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1642 is divided by 137?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b - 4. Let p = 50 + -44. Give x(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70595.\nAnswer: 5, 7, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 1:37 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -388, -790, -1192, -1594, -1996?\nAnswer: -2398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00068482363 to six dps.\nAnswer: -0.000685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -448868 <= 87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74.2 - -60.2. What is the biggest value in 0, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*d - 137, -u + 109 = 15*d - 11*d. Let x be ((-63)\/d)\/((-3)\/(-9)). Let o = 12 + x. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 3:10 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187 = -38*k + 117 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -5.5. Let a = -1.4 - -1.5. What is the nearest to a in g, -1\/2, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 7*o + 4*o)*(-2*o - 3*o + 3*o) - 8 - o**2 + 28 - 18 + 7*o.\nAnswer: 11*o**2 + 7*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 4*j - 32, -3*j = -553*y + 555*y - 23 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9.9 in 2\/11, 2\/3, 34\/31, 1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1602 + -929. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(720) - (-2 + sqrt(720) + sqrt(720)*-2) - sqrt(720)) - ((sqrt(720) + 0 + -2 - sqrt(720)) + sqrt(720) + -1 + 3)**2.\nAnswer: -718 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/60*-8)\/(42\/(-70))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 + 4. Let v = d + 113\/3. Which is the biggest value? (a) v (b) -11 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m = i - 3, -5*m = -4*i - 14. Which is the closest to -2\/9? (a) i (b) -2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80 - 28. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60.34 times 19.35\nAnswer: 1167.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 2*j - 9. Suppose j*w = 4*p + 62, 4*p + 88 = 4*w + 8. What is the tens digit of (-9)\/w*124\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of 11*o**4\/24 + 7*o**3\/6 + 4*o**2. Let y(t) = -6*t - 4. What is 3*g(i) + 5*y(i)?\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 55 = 2*z. Let u be 2\/(-6) + 55\/3. Calculate the highest common factor of u and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*w**2 - 15*w**2 + 13*w - 13*w**2 wrt w?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-4)\/p*p)*p**(-5\/2))\/(p*p*(p*p**(-1\/3)*p)\/p)**(-49)*(p**(-2\/11)\/p**(-1\/7))\/(p**7\/(p\/p**2*p)) assuming p is positive.\nAnswer: p**(58271\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - t + 120. Suppose 0*z - 2*z - 4*c = -8, 5*z + 4 = 2*c. Is q(z) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 - 9*l**2 - l - 2. Let w be u(5). What is the remainder when 60 is divided by (1 + 5)\/(w\/102)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -1. Let j(v) = 12*v**4 + 6. Let n be (-1)\/(2 + 21\/(-9)). Let h(g) = n*q(g) + j(g). What is the derivative of h(d) wrt d?\nAnswer: 48*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - a. Let q(u) = 8*u**2 + 8*u - 4. What is 6*g(h) + q(h)?\nAnswer: 2*h**2 + 2*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/(s**(-6)*s))\/((s\/(s*s**2))\/((s**(-2\/11)\/s)\/s)) assuming s is positive.\nAnswer: s**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmsm. What is prob of picking 2 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 99637395 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 12*v - 12. What is the lowest common multiple of o(-9) and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88560712 to the power of 1\/3, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*m - p, 0*p + 2*p - 10 = 2*m. Suppose -k - 3*n - 8 = 0, 2*k + 20 = 4*k - 3*n. Let h be ((-3)\/k)\/((-5)\/(-40)). Which is bigger: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4199 + 15467. Does 25 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -106010\nAnswer: -530050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -52*m**3 + 3*m**2 + 53*m + 9. Let j(l) = -54*l**3 + 4*l**2 + 52*l + 11. Let o(t) = 5*h(t) - 4*j(t). What is the second derivative of o(q) wrt q?\nAnswer: -264*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123951 less than -6464?\nAnswer: -130415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 3:31 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4870, 9817, 14760, 19699, 24634?\n\"Answer: -2*z**2 + 4953*z - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*f + 25, -d = -f + 2*d - 7. Suppose 9 - 1 = 5*v - z, 3*z = -3*v + 12. Let h be (-3)\/(-6)*(-7 + v). Which is greater: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*v - 51, -2*v + 11*h - 7*h - 34 = 0. Which is smaller: -55 or v?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 510889, 510887, 510885, 510883?\nAnswer: 510881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.02 (b) 3\/215 (c) 4 (d) -1 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - y = -0 - 10, 3*h - 12 = -3*y. Suppose 0*o - 609 = -h*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 12:41 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f**2 + 37 + 2*f**3 + 36 - 75 as w*f**3 + d + z*f + q*f**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*z - 37. Let b be ((-1)\/(-2))\/(z\/(-4)). Find k such that 2\/3*k**4 + 1\/3*k**5 - b*k**2 + 0*k + 0 - 1\/3*k**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x. Let a(c) be the first derivative of 10*c**3\/3 - 3. Calculate l(a(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21\/105 + (-168)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -321*f - 3436 + 1189 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*f**2 + 19*f**2 - 18*f**2 + (-2*f + f + 0*f)*(8*f + 4*f - 2*f).\nAnswer: -21*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5796389 + -607.\nAnswer: 5795782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) -4 (b) 648 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 646769?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 3*i**2\/2 + 5*i + 26021. Let t(b) = b + 3. Let z be (-3)\/2*4\/(-6). Let p = 6 - z. Determine p*t(j) - 3*y(j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/63 (b) 0.1 (c) 4\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -51 - 5 - ((36 - 27) + -4 - 13)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29537?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30794.25 - 30794. What is the biggest value in -1\/6, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2662*a = -2678*a + 128. Solve -5*n + 22 - 2 = -5*z, 5*z = -2*n + a for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 346 + 1966 = 0. Let i = 112 + c. Find the first derivative of -21*a**i - 7 - 1098*a**3 + 1098*a**3 wrt a.\nAnswer: -84*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -20?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 11*o + 13. Let i be x(3). Let a = 59 - i. Calculate the remainder when a is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135514 (base 6) in base 3?\nAnswer: 122202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00044 * 18338.\nAnswer: -8.06872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, 30, 75, 158, 291, 486, 755?\n\"Answer: 2*j**3 + j**2 + 2*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (9\/(-2))\/((-5)\/70)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(99) + -4 - sqrt(11)) + 5 + 3.\nAnswer: 6 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -172, -12, -4\/3, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34676.\nAnswer: 2, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/15 - ((-756)\/35 + 28). Put 0.5, i, 2\/21, -15, -4 in increasing order.\nAnswer: -15, i, -4, 2\/21, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10054*q - 168054 + 20408 = 83596 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 244, 341, 290, 91?\n\"Answer: -74*q**2 + 319*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 5)*(1 - 3 + 171*k + 3 - 2).\nAnswer: -513*k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1019445 by -511.\nAnswer: -1995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {e: 5, i: 9}.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211, -201, -185, -163?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15821853997 + -15821849384.9996847. Let b = 4612 - h. What is b rounded to five dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.27356 and 0.3.\nAnswer: 0.02644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0*r - 3*r)*((r - 5*r + 2*r)*(-4 - 1 + 3) - 3 - 10*r + 3).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**3 - 31*n**2 + 15*n - 1. Let m be x(15). What is the tens digit of 1 - (208 - -3)\/(m\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-5 + sqrt(51)\/(sqrt(3) + sqrt(240)\/sqrt(5) + sqrt(3)) - (5*(sqrt(17) - sqrt(425)) + sqrt(17) - -2*(sqrt(17) + 4))).\nAnswer: -515*sqrt(17)\/6 + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.3832236nm?\nAnswer: 0.0003832236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from annnnbzbbzjnzb. What is prob of picking 1 n and 1 a?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**5\/2 - 7*g**4\/2 + 15*g**3\/2 - 5*g**2\/2 - 8*g + 6 = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.01 - 1.01000488. What is o rounded to 7 dps?\nAnswer: -0.0000049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 + -51121212?\nAnswer: -51121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 867?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1617) - -1*sqrt(1617) - sqrt(330)\/(sqrt(10)*-3))\/((2*sqrt(66)*4)\/(2*sqrt(726))).\nAnswer: 473*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.113845 + -0.114. What is s rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 + 4*m**3 - 4*m**3)*(-14 + 37 + 54)*(-2 - 5 + 4).\nAnswer: -231*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/75)\/4*20\/3.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*i - 5 = 1, 4*p = 4*i + 4. Which is the nearest to 3\/2? (a) -4 (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 10 - (32 - 13)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (132 + 110 - 48)*(0*h - 5*h + 3*h).\nAnswer: -388*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 32179 = k, 20*c + 32214 = k + 18*c. Let q(u) = 8795*u**3 + 1. Let r be q(1). Let t = r + k. Round t to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2. Let b(s) be the second derivative of 3*s**3\/2 + 9*s. Determine b(f(p)).\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 2.1. Which is the fourth biggest value? (a) -1\/13 (b) 8 (c) s (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 75 and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -977 + 3*w**3 + 977 - 2*w**3 - 14*w**2.\nAnswer: w**3 - 14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 5:12 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 1\/17 (c) 4\/5 (d) -1\/72924\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, j: 4, e: 1, n: 4}. What is prob of sequence jein?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 13 = -22. Suppose s*u - 94 = 41. Suppose 6*c - 189 = -u. Calculate the highest common divisor of 24 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 213?\nAnswer: -1917","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - l - 303 = 0, -3*n - 5*l - 64 = -229. Let w = n - 54. Is 585 - ((-28)\/12 - (-2)\/w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(7*(-16)\/(-448))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 428453 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n + 19. Let s be r(-4). Solve i + 3*p + 9 = 0, s = -3*i + 4*p + 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 35 + 120 = 0. What is the derivative of 4*d + 7 - y + 11 wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -7. Suppose 2*d = -5*p + 3*p - 12, -24 = -d + 5*p. List the prime factors of (d - (t - -2))*9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1\/562840888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/9 - 2321*a\/9 - 813130\/9.\nAnswer: -(a + 430)*(a + 1891)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = y - 3. What are the prime factors of (48\/(-3))\/(0 - y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 445 = -2*a, 5*a - 3*y = -0*y + 1103. Suppose 0 = 5*s + 5*q - a, 0 = q + 3 - 4. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**6 + 1. Let j(c) = 27*c**6 + c**4 - 8*c**2 - 2. Let d(b) = -2*f(b) - j(b). What is the third derivative of d(q) wrt q?\nAnswer: -3480*q**3 - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -135c3 (base 15) to base 10\nAnswer: -62058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-4 + 3)*-3. Solve -s*t + 27 = w + 10, -3*t = -5*w - 27 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 2922388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119 - -119.3. Suppose 5*o - 2*x + 53 = -17, -4*o = -2*x + 58. Put o, q, 0.1 in increasing order.\nAnswer: o, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**2 + 2*a**2 - a**2 + (2*a + 2*a - 3*a)*(5*a - 3*a + 0*a) - 18548*a + 37027*a - 3*a**2 - 18619*a.\nAnswer: a**2 - 140*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtrl when four letters picked without replacement from tljqrtrqjqtttrtqt?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -6*d**3 - 8*d**2 + 2*d - 6. Let m(g) = -g**3 - g**2 + g - 5. Give m(q) - s(q).\nAnswer: 5*q**3 + 7*q**2 - q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1827414233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 562389897 a multiple of 491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -11*s**2 - 551*s + 1747. Calculate i(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3071 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 551282987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 - -9) + 1*2. Let a = 27 + s. Suppose -5*z + 6*z = -4*t + 2, 2*t = z - 2. Solve 4*w = -20, w = 5*r + z*w + a for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/712842 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.85 - -12.15. Put t, 16, 1\/5, 1\/4, -2\/9 in descending order.\nAnswer: 16, t, 1\/4, 1\/5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 10*y = -8*y - 9, -4*c - 9 = -y for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -418 + 1986. Suppose 5*v - 3*h = 2967, 0 = -5*v - 5*h + l + 1367. List the prime factors of v.\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 - 10121020?\nAnswer: -10120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**5\/30 - 10*l**4\/3 - 125*l**3\/6 + 23*l**2 - l. Find the first derivative of p(i) wrt i.\nAnswer: 4*i - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 4. Suppose t*v = 1 - 96. Let h = -9 - v. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -32167*h**2 - 2. Let a(b) = -43*b**2. Calculate v(a(g)).\nAnswer: -59476783*g**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/(15\/(-6)) + 7. Which is the second biggest value? (a) 0.2 (b) u (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - f + 91. What is the remainder when 5602 is divided by d(10)?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -1. Suppose -g*l - 110 - 118 = 0. Let x = l - -81. Solve -5*z = -2*z + 12, o - 5*z - x = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3341299 is divided by 14158.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -2659 and -2661 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**3\/3 - 7*x**2\/2 - 12*x - 10. Let j be y(-4). Suppose j = -r - 4*r + 4585. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2*72\/10)\/(5\/(-50)). Let s be ((-16)\/b)\/((-4)\/6). Factor 0 - 1\/6*j**4 + 0*j**3 + 0*j + s*j**2.\nAnswer: -j**2*(j - 1)*(j + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -5 + (10 - 10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (950\/57)\/(-25)*54\/(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/4, -102, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(22)\/sqrt(50)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 77*m + 675. Give u(-9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.703*-1.5206.\nAnswer: 1.0689818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1385 - 1382. Sort -1\/3, -3\/2, i, -1\/2 in increasing order.\nAnswer: -3\/2, -1\/2, -1\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4035261377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 210 - 130 = 2*a, a = 3*f - 169. Let v = a + 175. What is the closest to -2 in 9, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = l - 154032, -7*v - 109*l + 215644 = -108*l. What is the ten thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -14. Suppose -16 = -f*d - 3*t, d + 3 = -5*t - 7. Let r = -436\/3 + 144. What is the third biggest value in -1\/5, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 2*t - 2. Let a be m(2). Is a\/9 - (-3164)\/63 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - v. Let g be r(-1). What are the prime factors of g*29 - (-1 - -2)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(0*a**5 + 2*a**5 + 3*a**5) + a**5 - a**5 - 2*a**5 + 2*a**5 - 4*a**5 + 3*a**5 + (-a**2 - 2*a**2 + 5*a**2)*(-3*a**3 + 2*a**3 + 3*a**3).\nAnswer: 8*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -24*r - 78. What are the prime factors of i(-7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -975*r + 8319*r - 359856 for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 16 = 2*d, -19*r + 44 = -14*r + d. Suppose -r*n - 7 - 129 = 0. Let z(j) = 7*j**2 - 4*j + 8. Let m(x) = -20*x**2 + 11*x - 23. Give n*z(t) - 6*m(t).\nAnswer: t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from {c: 6, d: 4, m: 4, s: 2, u: 4}.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 0 + 12 + m + 0 + m - 19. Let y(g) = -g. Give a(z) + 5*y(z).\nAnswer: -3*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*a = 2 + 19, 0 = -4*m - 3*a + 18. Suppose 0 = m*s - 6*s + 3. Sort -4, -34, s in ascending order.\nAnswer: -34, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57 - (0 - 4) - (33 - 0 - (-198 + 221))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 + -73. Suppose 2*u = -3*v + 64, -u = -v - o*u + 28. Suppose -12 = 2*s + 5*w, w + v = 4*s + s. Sort 3, 2, s, 0 in descending order.\nAnswer: s, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 9:29 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1212 is divided by 104?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.2 (b) -23 (c) -0.7409\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/24)\/((-7)\/(-84)*-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -268494724*g + 177013666 wrt g.\nAnswer: -268494724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 44*6\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15623925 and 70?\nAnswer: 218734950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -347 and 0.7?\nAnswer: -242.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 17. Let j(a) = a**3 - 3*a**2 - a + 8. Let x be j(n). Suppose 0 = x*y - 12 + 2. Sort 0, y, -4.\nAnswer: -4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(1\/4)*z)\/z)\/z)\/(z\/(z\/(z*(z*z*z**(-1))\/z)*z*z))*z**(-10\/9)*z*z*z\/(z**(5\/6)*z*z*z) assuming z is positive.\nAnswer: z**(-25\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 2*x + 4, -y + x = y - 9. Is (-1 + 204\/8)*y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 1073*t**6\/24 + 49*t**5\/6 - t**2 + 80*t - 4. Find the third derivative of x(b) wrt b.\nAnswer: 32190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -167 at most as big as -97575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - -2 - -3)*1. Let c be -2 - (-2 + k) - -5. What is the first derivative of -1 - v**c + 0*v**3 - v**3 wrt v?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17 + 21)*(-1)\/2. Let z(w) = -85*w - 16. Let n be z(u). What is the units digit of 201\/7 + 44\/n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/6)\/((-1)\/2). Suppose 5*i - 2*i + 3*n = 0, -i - 2 = 3*n. Let b be (12\/(-75))\/((-8)\/20). What is the nearest to l in b, -2, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.181 - 0.281. Let f = -0.4 - -0.4. Let q be (-17)\/3 - 6\/(-9). Which is the nearest to 0? (a) k (b) f (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39*v**3*z**5 - 3*v**3*z**4 - 13*v**3*z + z + 8 wrt z?\nAnswer: 780*v**3*z**3 - 36*v**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.3 (b) 2\/7 (c) -0.5 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3*(h**(8\/3)*h*h)\/h)\/(h**(-2))**32 assuming h is positive.\nAnswer: h**(212\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*j - 31*j + 30*j in the form f*j + n and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 95581*m**4 - 104054.\nAnswer: 382324*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 10. Let j(q) be the third derivative of 1\/315*q**7 + 1\/180*q**6 + 0*q + 0*q**3 - 2*q**2 + 0*q**5 + h*q**4 + 0. Factor j(w).\nAnswer: 2*w**3*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 5*r**2 - 5*r + 2. Let b be o(4). Suppose -35 = 28*p - 32*p - x, -3*p = -5*x + 37. Sort b, p, 2.\nAnswer: b, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3 + 338*d**2 - 13760*d - 44376 = 0.\nAnswer: -3, 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 318, 1725, 5546, 12987, 25254, 43553, 69090, 103071?\nAnswer: 146702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 304 or 338?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 43*n + 42*n + 1, -3*h + 3 = 3*n. Solve h = 3*t + 3*x - 4*x - 19, -5*x - 5 = 3*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**3\/3 + 5*r**2\/2 - 3*r. Let q be i(8). Suppose 17*d = q*d - 100. Calculate the remainder when d is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 0 - 11 - -10) + -25 + -4 + -4.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4603 and 3043.\nAnswer: 3042.5397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 - 4*z. Suppose -4*w = -3*w + 4. Let m be x(w). Let b be 14\/4*52\/91. Solve m = -c + 1, 2*a + 4*c - b*c = 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 bigger than 120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 2244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5340180.\nAnswer: 2, 3, 5, 89003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -10*u**2 + 2*u + 1. Let v(p) = 21*p**2 - 4*p - 2. Calculate -5*c(m) - 2*v(m).\nAnswer: 8*m**2 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -4 (c) -1\/19 (d) 20377\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than or equal to -211691539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k**3 - 129240*k**2 - 3880575*k - 29112750 = 0.\nAnswer: -15, 25878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 4*n + 7. Let d(s) = 2*s - 15. Let u be d(10). Calculate the least common multiple of 18 and i(u).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnn. Give prob of sequence nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47\/93 + 1217\/2449. Is 0 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12738 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y + 94 - 7*y - 61 + 88 - 2*y.\nAnswer: -2*y + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5187 divided by 21?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 531457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - (9 + -4 + -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4478405 is divided by 212.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125*n + 161*n - 1 + 1.\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108, 186, 276, 384, 516, 678?\nAnswer: 876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 4:24 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -2*u + 5, 3*r = -3 - 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + j - 72. Calculate the greatest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 12 = -8. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165643805451 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003622813 to 7 dps.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 8:14 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-19)\/((-133)\/14))\/((-64)\/(-12)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from nhmn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1, 13442.\nAnswer: -1, -0.4, 13442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 2 + 8)*(-2*s + 0*s + 3*s) - s + 2*s + 0 + 1)*(-5*s + 4*s + 3*s + (4 - 3 - 3)*(2*s - 3*s + 3*s) - 3 + 3 - 3*s).\nAnswer: -10*s**2 - 5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**3 - 3*q**3 + 0*q**3 - 3*q**3 - 2*q**3 - 4*q**3 + (-1 + 2*q**3 + 1)*(-4 + 0 + 2) in the form v*q**2 + d*q**3 + a*q + g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 7:49 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -6. Calculate the smallest common multiple of 2 and (-6)\/(-1 - -4) + n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 279 = 3*q + 3*i, 2*q + 3*i - 183 = 2*i. Calculate the common denominator of -30\/11 and ((-12)\/(-16))\/3*q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248584086 divided by 116542?\nAnswer: 2133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/11)\/(i\/i**3*i*i)*i**5*i*i**(-4)*((i**0)**(3\/4))**(40\/9) assuming i is positive.\nAnswer: i**(20\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 6:28 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 60625*t**6\/2 - t**5\/60 - t**4\/6 - 2*t**3\/3 + 7*t**2. Let y be s(-2). What is y rounded to the nearest one million?\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3575216?\nAnswer: 2, 439, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 992 + -911. Suppose -l*s + 45 = -66*s. Find u such that -2\/5*u**5 + 4\/5*u**2 - 6\/5*u**4 + 6\/5*u + 2\/5 - 4\/5*u**s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -75 (b) 41 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (4 + -4 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 24 = -0*y + a, -5*a - 40 = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1101335 (base 8) to base 16\nAnswer: -482dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9170.3 - 9170. What is the nearest to t in -1\/5, 1\/2, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -4) + 52 + -4 + -6 - 2\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/71 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 11772*v**2 + 70756*v - 58980.\nAnswer: -4*(v - 5)*(v - 1)*(v + 2949)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g - 2. Suppose -3*k - 32 = -11. Let z be v(k). Which is the second smallest value? (a) 3 (b) z (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14*3\/(-42))\/(-5)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 - 2.9688.\nAnswer: 7.0312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/2, -0.1, -2460, 1\/3, 2 in descending order.\nAnswer: 5, 2, 1\/3, -0.1, -1\/2, -2460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18679.\nAnswer: 18679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ussnrsunucunnus.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 0.0617?\nAnswer: 2.9383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55 - -64) + (-8 - (-1 + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2669741 - 582306 = -3*s, 2*l - 5420085 = -5*s. Suppose -7*f = -s - 1925981. Round f to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2, 6, 2\/7, 2\/12981?\nAnswer: 2\/12981","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nni when three letters picked without replacement from iniini?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42234, 42230, 42226, 42222?\nAnswer: 42218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qy when two letters picked without replacement from yacaxqxxxxxacdaaq.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66 - o**3 + 703*o**2 + 3*o**3 - 704*o**2 to the form q*o**3 + h*o + d + g*o**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 23*o + 42 = 0. Suppose 69 = -o*n + 78. Solve 0 = n*s - 0*s + 15 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 16 = -2*w. Let l(z) be the first derivative of z**2\/2 + z + 1. Let n(j) = -j - 1. Let b(q) = -4*l(q) - 5*n(q). What is b(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*m**5 + 64*m**4 + 204*m**3 + 128*m**2 - 208*m - 192 = 0. What is m?\nAnswer: -12, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13694431 and 413?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, -5, -4, -1565.\nAnswer: -1565, -5, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1768\/(-476) - 36\/(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27\/4 + 6\/(-8) and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 1\/4, -5, 4\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 187352, 374056, 560758, 747458, 934156, 1120852, 1307546?\n\"Answer: -h**2 + 186707*h + 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 2257*j**5\/5 - 6029*j**2\/2 - 5447. Find the second derivative of v(g) wrt g.\nAnswer: 27084*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 711 + -711. Solve r = m - 9 + 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000689 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 40*j**2 + 616*j + 27. Calculate x(-17).\nAnswer: 1115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-279)\/(-2)*(1\/(-3) + 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/383 - 401\/2298. Let s be (-5)\/20 + (-38)\/8. Which is the nearest to s? (a) r (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 60*g - 2778. Give c(33).\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**3 + 27*i**2 + 11*i - 23. Calculate t(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 3. Suppose 4*l + 0 + 4 = i. Is -3 + 4 - (-35 + l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34696650 divided by -231311.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -83381*n. Let b(g) = 5*g. Determine b(i(h)).\nAnswer: -416905*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 159599220 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 112103033101 (base 4) to base 15\nAnswer: 7a7214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317687 is divided by 868?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 797167, 1594345, 2391527, 3188713, 3985903, 4783097?\n\"Answer: 2*b**2 + 797172*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 3144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2301052 divided by -1150526?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5890076524 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46431.\nAnswer: 3, 7, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/7 - 15\/20)*(0 - -1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 - 686*g**3 - 3*g**4 + 688*g**3 - g - 23 + g**2 as i*g + j*g**4 + c*g**3 + b + t*g**2 and give b.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70716.\nAnswer: 2, 3, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 787306 (base 11) to base 3.\nAnswer: 2100201101210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 30572242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/5 + -1)*(-5)\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 2*j - 5*d - 39, 5*d + 3 = 2*j. Let s = j - -10. Suppose 0 = -s*g + w + 21, -2*g - 5*w + 20 = 3*g. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -11*m - 28. Let v be y(31). What is the common denominator of -101\/6 and 22\/660*v\/(-4)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5738 divided by 5?\nAnswer: 5738\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*q = 8*q - 1206, 0 = 3*c - 5*q + 3668. Let d = 1233 + c. Factor 0 + 0*p**d + 4\/5*p**3 - 2\/5*p + 0*p**4 - 2\/5*p**5.\nAnswer: -2*p*(p - 1)**2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**4\/3 - 4*r**3 - 46*r**2\/3 + 40*r - 64\/3 = 0.\nAnswer: -4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1550.64 - 1535. What is q rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 542160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16994, 16997, 17014, 17051, 17114, 17209?\n\"Answer: z**3 + z**2 - 7*z + 16999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 7*j - 4. What is the tens digit of d(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)\/s**(1\/4))**(-3\/23) assuming s is positive.\nAnswer: s**(9\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 63417287532 and -2492.\nAnswer: 63417285040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 177212621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 5:26 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 11*i = -10*i + 33, 2*q + 3*i = 29. Let a = 27 - 13. Find the second derivative of a*o + 19*o**2 - 9*o - q*o wrt o.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - y**2 + 3*y**2 - 13.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*m - 15. Solve -m = -3*r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011101010110101100 + -1000010?\nAnswer: -10011101010111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1046925 by 235.\nAnswer: -4455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*x**3 - 76*g**3 + 7*g**2*x + 5*x**3 wrt x.\nAnswer: 12*g**3*x + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 3*x**2 - 163*x + 132. Calculate n(13).\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o - 2*c - 3 - 6, 2*c + 6 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 69, 0.4, 3, 2\/3, 45 in descending order.\nAnswer: 69, 45, 3, 2\/3, 0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d. Let s(m) = -m - 6. Let v(z) = -2*r(z) + s(z). Let h be v(10). What is the second derivative of -19 + 19 - 14*p - 11*p**h wrt p?\nAnswer: -132*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2801 - -2794. Let t(h) = 6*h**3 - 7*h**2 - 7. Let w(v) = -3*v**3 + 3*v**2 + 3. What is i*w(j) - 3*t(j)?\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -83 - 2201. Let i = 1621 - b. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in thirteen quarters of a microgram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 133061 + 5?\nAnswer: 133066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/45)\/((-5)\/(-45)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -8 (c) 1\/3 (d) 21 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3366825586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -297684\/47 or -6334?\nAnswer: -297684\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87733 is divided by 405?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 175 - 195 = 0. Let x be (-2 - -2) + 2 - -1. Suppose -4*r - h*z + 72 = 0, -x*r - z + 54 = -0*z. What is the highest common divisor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3 + (1*(-4 + 1*sqrt(162) - sqrt(162)) - (-5 + (sqrt(162)*-2)**2*-5)))*1.\nAnswer: -6488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*n - 49*n = -331*n - 583 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020211210 - 1110121?\nAnswer: 2012101012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (1782\/297)\/(1512\/(-828))?\nAnswer: -23\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 114228 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -241 + 241.4. What is the closest to -1 in 0.2, m, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 13*x**2 + 17*x + 27. Let f(p) = 36*p**2 + 48*p + 84. Let r(s) = -5*f(s) + 14*o(s). Calculate r(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25492244033 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.074 - 0.133. Let a = k + -0.0176. Round a to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*h = 24*h + 24. Suppose 7*i - h*m = 6*i, -m = -5*i. Solve i = 5*a - 1 - 9 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -32545816701.\nAnswer: -32545816701.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/54 and 101\/16356.\nAnswer: 147204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 6. Let a be u(5). Let p be a\/(-4) - 16740\/112. Let m = p - -150. What is the nearest to 0 in -1, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 226 - -36. Suppose -8*v + b = -18. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -348*o - 3*o**3 + 176*o + 177*o as h*o + x*o**2 + j*o**3 + r and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*h**2 + 18*h**2 + h**2 - 289*h**3 - 43*h**2 - 354*h**3.\nAnswer: -643*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3210240 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (18 - 5) + -5 + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, n: 6, o: 4}. Give prob of sequence nnjj.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(6\/7)*r*r**9\/r)**(1\/14) assuming r is positive.\nAnswer: r**(69\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 18*r - 17. Let q be o(16). Let a = q - 14. Suppose -2*t + 7 + a = y, 2*y = -3*t + 15. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -164 (b) -41 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9 - (4\/((-54)\/(-45) - 2) - 147). Solve 20*m + s = 41 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p + 18 - 6. Put p, 1, 4, 5 in decreasing order.\nAnswer: 5, 4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 317*r - 86*r + 274*r - 3535 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 986999000 = 894*c - 917*c. Round c to the nearest 1000000.\nAnswer: -43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3079 - 255 = -4*i + 2*d, d = -5*i - 3544. Let h be 10\/30 + i\/(-9). What are the prime factors of h*(3 - 2 - 0)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -22. Calculate the smallest common multiple of 11 and s.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -15*u**2\/4 - 94703155*u\/2 - 63135435\/4 = 0.\nAnswer: -12627087, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 210 + -148. Find the common denominator of -64\/3 and 12\/(-8)*60\/w.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.904, 2, 3\/5, -19, 32?\nAnswer: -0.904","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1470*g**2*h - g**2*x + 15*g**2 + 43*g*x - 44*h*x + 41*x - 1 wrt h.\nAnswer: -1470*g**2 - 44*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 6\/2953?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3473 a factor of 7579246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12853172\/13 - 988096. Let h = -1556 - -946. Let g = l + h. Is -1 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)\/f*f*f\/((f\/(f\/(f**(-4)\/f)))\/f))**(-2\/15) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.48 - -41.48. Let b = 40.8 - v. Let f = 7 - 7.6. What is the second smallest value in b, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13809863 is divided by 6904889?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7744438808?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/(-4)*(3 - 5). Suppose 6*k = -v + k + 37, 0 = 4*v - a*k - 23. What is the least common multiple of v and (-2)\/4 - 688\/(-32)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*2\/4*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 6. Let v(l) = -l + 2 - 8 + 3 + l**u. Let t be v(3). Solve -3 = 3*i + t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*d**3 + 7481*d**2*n + 44*d**2 - 8*d*n - 4136*d + 19 wrt d.\nAnswer: 54*d + 14962*n + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a069 + -1367?\nAnswer: 38902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - -7)*(-3344)\/(-64). Calculate the highest common divisor of 19 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 5517?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -347a808 (base 12) in base 16?\nAnswer: -9a5f08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 7*t - 5. Let s be x(-1). Let p be (16\/6 - 3)*-3 + 2. Let d(m) = -p*m**2 + 8*m + 12*m**2 + 0 + 1 - 9*m. Determine d(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/11)*b)**35\/((b**(-9)\/b)\/(b\/b**(-13))) assuming b is positive.\nAnswer: b**(579\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a + 538. Let c(u) = -26*u. What is c(q(b))?\nAnswer: -52*b - 13988","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2, 5*k - 2*q + q = 2. Find v such that -1\/6*v**5 + 0*v - 1\/6*v**4 + k*v**2 + 0 + 0*v**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -17)*8\/12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2424082.05 from -76.8.\nAnswer: 2424005.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apbpxvvpapaabpvpap. What is prob of picking 2 v, 1 a, and 1 x?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2529956734?\nAnswer: 2, 229, 1297, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 15*c + 38. Let m be g(17). Suppose 4*r - 4 = m. Suppose 6*b + 12 = 2*b. Does r = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (65 - 25 - 50)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2 + 32*f - 75. What is r(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 828499, 827354, 826209, 825064, 823919?\nAnswer: 822774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 27230162?\nAnswer: -27230164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**3\/6 - 5*y**2\/2 + 81*y + 3. Give m(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + n**4 + 2*n + (1 - 1 - 2*n)*(-61*n**3 - 441*n**3 + 9*n**3).\nAnswer: 987*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1421822878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 638 a factor of 78067980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/6*3\/8*6\/18?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1738 + -2.173818019. Round j to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 16109.\nAnswer: 3\/16109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-3) + (-11 - (-261)\/27). Solve -1 - 15 = -q*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 78052*w + 3. Let n be s(-11). Let i = -268569 - n. Round i to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1571 - -2595. Calculate the highest common factor of 32 and n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.618083l to millilitres.\nAnswer: 6618.083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-238)\/(-3689) + 400\/(-434))\/((-198)\/42).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 + 4.03. Let p = 21.5 - 21. Sort p, t, 1 in decreasing order.\nAnswer: t, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5\/4 (b) 0 (c) 5 (d) 0.5 (e) 1\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306873 is divided by 4871.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 c when two letters picked without replacement from amnancnntncnnn?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -210 + 1054\/5. Let s = 2.5 - 2.8. Which is the nearest to s? (a) -2 (b) -4\/3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2*(-1 + 1). Suppose b - 254 = -s*b. Let m = b + -175. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-99)\/(-45) + 81\/45. Let t = 5 - 2. Which is the closest to -1? (a) t (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2758 + 2757. Which is smaller: b or -1\/1223?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33926879653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 483*l**3 + 95 + 97*l**3 + 0*l**2 + l**2 - 19 + 33*l**3 wrt l.\nAnswer: 3678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*((3 + 2*sqrt(684))*6 + 5)**2.\nAnswer: 9936*sqrt(19) + 297078","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x. Let g(v) = 6*v - 1566. What is p(g(f))?\nAnswer: -6*f + 1566","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 6*u**2 + 7*u - 15. Let n be l(-9). Calculate the greatest common divisor of n and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468662 is divided by 1183?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 4:38 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 23 - 9 = 0. Suppose 0 = 2*i + 3*a - r - 29, 4*i = 4*a + 24. Let d(n) = -n + 2. Let g(p) = 5*p - 11. Calculate i*d(o) + 2*g(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/6*4\/(-5). Suppose 0 = 2*h - 2, 0 = -c - 0*h + 3*h - 1. Suppose -c*a + 7*a = -4*v + 55, -o*a - 2 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 7*c**2 + 9*c - 16. Let m = 7 + -1. Let g be k(m). Solve -2*d + 8 = -g for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194, -140, -16, 220, 610, 1196, 2020, 3124?\nAnswer: 4550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433434 is divided by 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1 + sqrt(50) + sqrt(2))**2*6 + 5 + sqrt(18)\/(sqrt(9) + sqrt(1089)*2) + -5.\nAnswer: 1933*sqrt(2)\/23 + 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 218800\/2188 - (-25)\/(-5)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 20556.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s + 4. Let i = -2 + 6. Let g = 9 + -6. Let f(k) = -3 - 2 + g*k + 6 - 2*k. Give i*r(u) - 18*f(u).\nAnswer: 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 9 + (-42 - -34) - 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20120 + 45584. What is the ten thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = 21*h - 54 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4568371*c**4 - 9275269 with respect to c.\nAnswer: -18273484*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3 + 664028*p**2 + 1328053*p + 664026 = 0. What is p?\nAnswer: -664026, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3486\/5727*460\/(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*y + 176*y - 48*y - 447984 = 0. Calculate the greatest common divisor of y and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and -0.2.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42201 is divided by 513?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63077 is divided by 830?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 2*t = -7*x - 218957, -2*x - 3*t + 145993 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-5 - -2 - 2 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1781\/75 and -25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -1\/54, -39\/5, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of h**6\/120 - h**5\/6 - 3*h**4\/8 - 10*h**3\/3 + 2*h**2 + 13*h. Calculate the remainder when 24 is divided by a(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + b = -15. Put 6, b, 1 in descending order.\nAnswer: 6, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 144818 or 144819?\nAnswer: 144819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**6\/1020 + b**5\/510 - b**4\/102 - 3*b**2. Solve x(a) = 0 for a.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -6) + 42\/(-12). Let c = 2.69 - -0.31. What is the third smallest value in 0.5, v, c, -1.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8698 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-15)*((-171)\/228)\/((-5)\/30).\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*w = 0, 5*w - 10 + 30 = 5*m. Suppose u = -0*u - m*x + 1665, 0 = -5*x + 25. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/5, 3\/7, -53452727?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 1 + (-3 - -2). Let a(t) = -3*t**3 - t**2 + t + 2. What are the prime factors of a(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + q + 0*q)*(-q + 3*q - 4*q) + (-6*q + q + 4*q)*(96907 + 24*q - 193991 + 96943).\nAnswer: -28*q**2 + 141*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(-1\/3)*u))\/u**(-2\/39) assuming u is positive.\nAnswer: u**(-50\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13984.13 decades to centuries.\nAnswer: 1398.413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/4, -0.115, 3, -2\/7, -87?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126 and 84602?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*d - 662 + 712, 2*d + 11*v - 299 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5071500 and 53550?\nAnswer: 86215500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4 + sqrt(405)*-1 + -5 + 0))**2.\nAnswer: 1458*sqrt(5) + 4374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1471*u**3 - 6*u - 2*u - 1474*u**3 + 8*u.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -2*t + 12, -160*d + 159*d + 10 = 5*t for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g + 2. Let d be 4 + (-11)\/(132\/120). Let h(b) = -6*b + 4. Give d*h(o) + 13*m(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 114 = -2*g, 191 = -3*g - 0*w + 2*w. Let j = 121 + g. Suppose l = 23 + j. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**2 + 7*m - 18. Calculate k(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (135\/75)\/((-317)\/(-14265))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*v**3 - 4*v**3 - 4*v**3)*(10*v + 27*v + 10*v) + (v - 4*v + v)*(2*v - 2*v - 2*v**3) - v**3 + v**3 + v**4.\nAnswer: -89*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k**2*r**2 - 2*k**2*r*w + 5*k**2*w**3 + 442*r**2*w**3 - 9*r*w wrt r?\nAnswer: 4*k**2 + 884*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1021 (base 3) in base 8?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*l + 80, -n + 12 = -3*l - 12. Suppose -151*y = -51*y - 27*y + 4745. Let u be n + -16 - 2*y. What is the highest common factor of u and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 2. Let p = g - 0.0000003. What is p rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 - 1040\/(-12))*27\/6 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 650*n + 20*n + 59*n.\nAnswer: 729*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/8)*m\/m**(-11)*m*m**(-12)*m\/m**(7\/4) assuming m is positive.\nAnswer: m**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from -40.53.\nAnswer: -47.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1483, -2962, -4441?\n\"Answer: -1479*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjhhjjhhyg. Give prob of sequence jgh.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 411\/(-8083)*5\/45*6.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 83 = 29. Let y = -44 + h. Solve 0*k + y = 3*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010000000011010 (base 2) in base 7?\nAnswer: 1314425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53 and 16536?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27373380 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 8*x**2 + 4*x + 9. Let w be y(8). Let b = 47 - w. Suppose -3*a - 159 = -b*a. What are the prime factors of a?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a - 1. Let u be w(-2). Calculate the lowest common multiple of (8\/14)\/((-76)\/(-266))*1 and u\/(-6) + (-50)\/(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 11:20 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 371*l**2 + 34229*l - 191. What is u(199)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyu when three letters picked without replacement from uxyyuyyuyuyuouy?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -835 + 1174. What is the remainder when l is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -3*r**2 + 0*r - 6*r + r**3 + 0 - 5. Let d be j(5). Let u = d + -13. Calculate the greatest common factor of u and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8108968983 to the power of 1\/2, to the nearest integer?\nAnswer: 90050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2835 = 564*u + 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 17450*r.\nAnswer: 5*r*(r - 3490)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1583581669?\nAnswer: 47, 127, 359, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3 - (-16)\/24. Suppose l*x = -5*x + 35. Differentiate -x*z**2 - 4 - 2 + 8*z**2 with respect to z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32198.16 weeks in nanoseconds?\nAnswer: 19473447168000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - -14350?\nAnswer: 14333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -1)*105\/(-42). Suppose 3*w - r - s = -2*r, -4*w = -r - 25. Solve 0 = 5*n + 5*f - 20, -w*f + 4 = 2*n - 16 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -5 (c) -0.132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6476048 by 1.\nAnswer: -6476048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1119.14 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 + 4 = 0. Let z(c) be the second derivative of 4*c**5\/5 - c**3\/2 + c**2 + 53*c. Is 15 a factor of z(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide -2 + (-1 - -78) + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2339 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 17660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -1137*o**2. Let u(r) = -11*r. Calculate i(u(y)).\nAnswer: -137577*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32.85 + -0.15. Let c = i + 29. What is the third smallest value in 4\/7, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*j + 11*j + 40*j.\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 293457?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-12)*(-80)\/(-30)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 811, -11, -5 in descending order.\nAnswer: 811, 2, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*b + 1260 = -3*b. Calculate the lowest common multiple of b and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2 - 3*q**2 - q**2 - 4*q**2. Suppose 2*u = -j + u + 11, -3*j + 5*u = -49. Let d(y) = 7*y - 35*y + 10*y + j*y. Give d(b(o)).\nAnswer: 50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 65 = -5*d. Suppose 56 - 1 = d*n. Which is bigger: 4 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -70 + 76 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i + 217589. Let l(b) = -b**2. What is x(l(m))?\nAnswer: 3*m**2 + 217589","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22542202 (base 6) to base 3.\nAnswer: 1022110010202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 4:21 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -12*y - 1. Let s be q(-1). Suppose 16*k - 342000000 = s*k. Suppose 10*l = 4*l - k. Round l to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 4\/5 in descending order.\nAnswer: 5, 2, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20300 divided by 145.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express o - 1216 + 1189 + o as m*o + p and give p.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + 2*l**2 + l)*(-2 + 3 + 4)*(-1 + 0 + 0)*(-2 + 2*l + 2).\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66*s**3 - 205*s**3 - 4*s**2 - 162*s**3 + 4*s**2 + 132*s**3)*(-5*s - 4 + 4).\nAnswer: 1505*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-31 + 28)\/(2\/(-24)). Which is the fourth biggest value? (a) p (b) 2 (c) -2\/5 (d) -35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/((-3420)\/(-550))*(-76)\/95.\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 316.0587 days?\nAnswer: 7585.4088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d + d)*(-2*d - d**4 + 2*d) + 16*d**4 - 16*d**4 - 4*d**5 - 3*d**4 - 2 - 119*d**5 + 6 + 123*d**5.\nAnswer: -3*d**5 - 3*d**4 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1206662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 0, 3872, 4, 2 in descending order.\nAnswer: 3872, 4, 2, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9441826, 18883652, 28325478, 37767304, 47209130, 56650956?\n\"Answer: 9441826*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -379, -68, 847, 2690, 5785?\nAnswer: 10456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -11136 times 0.09\nAnswer: -1002.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -36*t - 22. Let f(v) = -2*v - 1. Let r(a) = 44*f(a) - 2*q(a). Let k(y) = -3*y. What is k(r(s))?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -3772.\nAnswer: -1\/943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.43786699 to three dps.\nAnswer: -0.438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -24*a**2. Let p(x) be the first derivative of -3*x**2 - 166. Determine p(b(i)).\nAnswer: 144*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11609 + 11628. Solve -2*z + 5 - v = 4*x, 5*x = 14*z + 65 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-6))\/(-2*(-1)\/4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -102200 (base 3) to base 11\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162279 is divided by 53.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 + 2*g**2 + 5*g. Let h be r(0). Put 2\/25, -1\/2, 3\/5, h in descending order.\nAnswer: 3\/5, 2\/25, h, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**5\/60 - g**4\/6 - 12*g**2. Determine p(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13192 is divided by 172?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19250*d - 659628 = -10214*d for d.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-18))\/(-1))\/(2723\/(-3501))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5053362075*i - 10106724148*i + 5053362067*i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321293119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-479*b + 4758 - 4758 + 1383*b)*(3 - 2*b - 3).\nAnswer: -1808*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 12:42 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.8 - 20.8. Let n = 11.3 - g. What is n rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315 = -22*o - 13*o. Solve -o*z + 12*z - 9 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(612) + 2 - sqrt(612))**2 + (-2*sqrt(612))**2).\nAnswer: 12260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 19. Determine g(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-five halves of a micrometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 87, 76, 51, 6, -65?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*i**2)*((1 + 3*i - 1)*(5*i + 0*i - 4*i) + 360 - 360 + 123*i**2).\nAnswer: -252*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a9d5 (base 14) to base 7.\nAnswer: -621455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, -2, 158, 4\/7, -2\/13, 0 in descending order.\nAnswer: 158, 4\/7, 0.15, 0, -2\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*o - 2. Let y(j) = 3*j + 1. Let c be y(o). Suppose -5*h + 2 = -5*q + 17, -c*h - 7 = -3*q. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f - f + f + 2*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.889999957 - 2.89. Round x to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 10*f - 5. Let s = 131 - 84. Let b = 103 - s. Calculate the remainder when b is divided by q(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 370.29149 - 378.1914826. Let r = m - -7.9. What is r rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11409 = -10*h + 14*h + 5*z, 5*h - 14268 = -4*z. Does 21 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 622580 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 13938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3522*g + 3066*g - 6221*g.\nAnswer: 367*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 7 + 7*z + 7*z + 5.\nAnswer: 14*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3325000?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 509586.2 micrometers to nanometers.\nAnswer: 509586200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 5 in decreasing order.\nAnswer: 5, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 + 460*n**2 + 11440*n + 38720.\nAnswer: 5*(n + 4)*(n + 44)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-1 + -1) - -3. Suppose 3*x - 20 = z*p, p = 2*x + 6*p + 20. Suppose k - 2 = x, -4*j + 2 = -2*k - 2. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31043 + -0.7\nAnswer: 31042.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 269221526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2.3611*-0.9\nAnswer: 2.12499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37704 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 41922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**4\/4 - 14*a**3\/3 + 3*a**2\/2 - 2*a + 22. Let q be v(14). Let r = 8 + q. Is 24 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**4 - 3*t**4 - t**4 + (2*t - 5*t + 2*t)*(0*t**3 + t**3 + t**3) + 3*t**4 + 0*t**3 + 0*t**3 + t**4 - t**2 + t**2.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*-2 + 5)**2 + sqrt(1300).\nAnswer: -190*sqrt(13) + 5225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 58828 and 411799\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1041*q + 737*q - 740*q + 1010*q in the form p + h*q and give h.\nAnswer: 2048","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116 and 78.\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -7664 bigger than -7664?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*i + 64, i = 14*d - 12*d + 21. Let k be (68\/(-16) - -4)\/(i\/8). Which is the second smallest value? (a) k (b) 4\/9 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3298672786 to the power of 1\/2, to the nearest integer?\nAnswer: 57434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.7 - 1.7. Let u = -1.1 - -6.1. Let k = u - j. What is the closest to 2\/7 in 0.2, k, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 356800 and 142720?\nAnswer: 713600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 84.258, 2\/111.\nAnswer: -3, 2\/111, 84.258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(-7*x**5 + x**5 + 4*x**5 - 9*x**3).\nAnswer: -4*x**5 - 18*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/3, -4, 9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -527*s - 15811. Give i(-30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.1 + -3. Let o = 3.1 - s. Let d = 2.9999984 - o. What is d rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, -6\/5, 5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8550 divided by 114\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/6, -2, 5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 18*d - 17*d. Let u be 125\/15 - d\/6. Solve 5*m + 25 = 0, -2*m + u*m = -3*x - 19 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1308 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22016 is divided by 875.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*-1*(-28)\/(-6). Let v = r + 8. Is v\/(-27) + 480\/27 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40121 - -21?\nAnswer: -40100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(14\/(-9))\/(-7). Sort y, -1\/6, 13 in ascending order.\nAnswer: -1\/6, y, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-4*n**2 + n**2 + 4*n**2) + (-n + 1 - 1)*(-8*n + 7*n - 9*n) + 4 + 3*n**2 - 4.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 24. Let m = 93.6 + -94. What is the closest to 1 in 0.03, g, m?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 168434181?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7374, 7327, 7250, 7143, 7006?\n\"Answer: -15*t**2 - 2*t + 7391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*c - 7 - 16, -c = -2*l + 37. Let m = 25 - l. Let z be 1 + (68\/(-2))\/(-1). Calculate the greatest common factor of z and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4656\/364 + 25758\/(-3339)?\nAnswer: 66\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 + 89*v + 3 + v**2 - 5 - 87*v to k*v**3 + f + t*v + p*v**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19\/7 - 2\/(-7). Let k(s) = 3*s**3 - 2*s**2 + s. Let i be k(1). Suppose i*r = x*t - 6*t - 15, 0 = -5*r + 2*t + 10. Solve 2 = -z - r*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1 + 10*x**5 - 69*x**2 - 56*x**2 + 102*x**2 wrt x.\nAnswer: 600*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47351606 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqqxqwmffwwzxxfwwwfz. Give prob of picking 1 w and 1 x.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 5*q + 231 = 171, -32 = -2*y - 5*q. Which is the third biggest value? (a) y (b) -0.5 (c) 3\/2 (d) 2\/11 (e) -39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 92 (b) 12\/61 (c) -0.3 (d) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2\/125 of a gram?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a - 2 + 2)*(1106 + 1023 - 1946)*(0*a + 2*a + 0*a + 1) in the form u + t*a**2 + q*a and give q.\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -505 - -575. Is -0.05 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 3*m**2 - 6*m - 18. Let u be j(5). Solve 1 = -u*y - 9 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*(((sqrt(225) + sqrt(225)*1 - sqrt(225)) + sqrt(225))*-4)\/(sqrt(30)\/sqrt(6)*1*-3))*-3.\nAnswer: -72*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10146593*y**3 - 2*y**2 - 5741*y - 208 wrt y.\nAnswer: -60879558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 + -1.6. Let r = 19\/5 + -313\/85. Sort -3, v, r.\nAnswer: -3, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 5*c**3 + c + 2. Let j be k(-2). Let a = -22 - j. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, a: 3}. What is prob of sequence aa?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 191 - 188. Solve 5*f - y = -12, 4*y - d = 5*f - 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006 plus -402.30052?\nAnswer: -402.30652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 2*x**2 + 3*x - 2. Is g(4) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35560 (base 9) to base 14\nAnswer: 8951","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -32 - -401?\nAnswer: 37a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 5*a = -5*s + 25, 5*s + 4*a + 20 = 0. Put -1, 3, s, 4 in ascending order.\nAnswer: -1, s, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (979\/(-121) - -8)\/((5*(-4)\/60)\/1)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**2\/7 + 1016*b\/7 + 258064\/7 = 0.\nAnswer: -508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2188 divide 151203722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*g**3 - 2032193820*g**2 + 677397928*g + 451598624 = 0. Calculate g.\nAnswer: -1\/3, 2\/3, 56449828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 26. Suppose c*j - 114 + 9 = 0. What is the remainder when 81 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 26631*p**4 + 5*p + 26667*p**4 - 4*p**3 + 1 to the form g*p**3 + t*p**4 + o*p + x + r*p**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 60.32 - 1.32. Let u = -64 + t. Which is the second biggest value? (a) 5\/4 (b) 3 (c) -2\/9 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362046?\nAnswer: 2, 3, 83, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h + 5*l = -25, -4*h + 63*l - 67*l - 27 = -3 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 6717*b**3 - 3*b + 6 - 12*b**2 - 8*b**2 + 14*b**2 - 6714*b**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6625953 and 1383.\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + n + 3*n)*((1 + 0 - 3)*(-1 + 1 + 1) - 11 + 10 + 20).\nAnswer: 34*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that n**5\/5 + 2551*n**4\/5 + 15279*n**3\/5 + 22909*n**2\/5 + 2036*n = 0.\nAnswer: -2545, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1509 + 7204 = 17*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 374\/33*((-5)\/(-15))\/((-6)\/27)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -3*l**2\/2 - 2*l - 2. Determine j(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8424022 is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*d - 40. Suppose 6*n = d*n + 6. Solve 2*z + n*f - 6 = -2*z, -f = 4*z - 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, t: 1, k: 2, q: 2, j: 1}. Give prob of sequence tjdk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*f + 2 = 0. Suppose 5*j + 44 = -f*d, d + j = 5 - 21. Let y be (-3)\/d*8 - (0 - 2). Solve -m = -y*m - 3*s + 9, -m - 3*s = 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 7 + 7. What is the units digit of (-665)\/l*(-2)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t**2 - 61*t - 151. Let s be v(-5). Solve s*n = 4*a - 18 - 18, -a + 19 = -3*n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 538*j**4 + 4478*j**3\/5 - 902*j**2\/5 - 4478*j\/5 - 1788\/5 = 0. Calculate j.\nAnswer: -1, -894\/1345, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1289000 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(7)*-1)**2 - sqrt(7)) + 2.\nAnswer: -sqrt(7) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 13*n**2 + 2*n. Let f(d) = 19*d**2 + 3*d. Let k be -21*(-3)\/(-27)*3. Suppose 2*p - 2 = -4*m + 8, 5*m = 0. Determine k*a(c) + p*f(c).\nAnswer: 4*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 450\/(-816) - 165\/(-935).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4046515 rounded to the nearest one hundred thousand?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqyqqyqyjqqy. What is prob of sequence yyqj?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72531\/5 - 5222767\/360. What is the common denominator of 89\/720 and h?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7\/5, 3, -1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3594, -14773, -33404, -59487, -93022?\n\"Answer: -3726*r**2 - r + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g + 75. Let i(r) = 1. Calculate -6*i(l) + z(l).\nAnswer: 2*l + 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 102 + -948. Is 0.1 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -31856, -55558, -79256, -102950, -126640, -150326?\n\"Answer: 2*i**2 - 23708*i - 8150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 6 (b) 0 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 700\/69 - 53249\/5106. What is the common denominator of a and 13\/58?\nAnswer: 2146","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/32)\/(83\/(-664))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 3*f = -18*k + 22*k - 248, -4*k - f = -106 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5836483.80000704 - 5836486. Let h = l + 2.2. What is h rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 307970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (129\/(-172))\/(1\/(-4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58918981 - -0.3.\nAnswer: 58918981.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 11:33 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/42250 and 49\/6500.\nAnswer: 84500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + sqrt(200) + 2*sqrt(200)*-5 + -4 + sqrt(200)*2))**2.\nAnswer: 245000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 510 = -7171*z + 7186*z for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1114441 (base 5) to base 11\nAnswer: -14029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.25 + -0.2. Let n = h - -0.3. Let u = -0.3499946 + n. Round u to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 9*b + 9 - 2*b**2 + 9 + 3*b**2. Calculate the least common multiple of 4 and h(-9).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 9*g**2 + 15*g - 4. Let d be z(7). Let 3*k**2 - 2*k**2 + d*k**4 - 17*k**2 + 7*k**2 + 6*k = 0. Calculate k.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 14 + 22. Let d(v) = v**2 + 10*v + 21. Let z be d(p). Solve z = 3*r + 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiaii. What is prob of sequence aa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -573? (a) -0.4 (b) 3 (c) -8\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 10*t**2 - 2*t - 14. Let x = -103 + -14. Let j be (-1)\/4 - x\/(-12). Let a be u(j). Solve 3*y = 5*n + a + 12, 0 = y + 2*n + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -1\/2*n**4 + 0 - n - 1\/2*n**5 + 3\/2*n**3 + 1\/2*n**2 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1536 and 192?\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7202658751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4\/5)*x*x)\/(((x**(-1)*x)\/x*x)\/x)*(x\/x**(-3))\/(x\/(x\/(x\/(x**3*x))))*((x**(2\/5))**47)**27 assuming x is positive.\nAnswer: x**(2584\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -304655 (base 9) in base 10?\nAnswer: -180599","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 3*v**5\/5 + 31*v**4\/6 - 40*v**3\/3 + 1349*v**2. Factor x(r).\nAnswer: 4*(r + 4)*(9*r - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, -4, -5, 7, -11.\nAnswer: -110, -11, -5, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/26 - (-121712)\/208. Suppose 2*u - d = -7*u. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 6*p**3 - 8*p**2 + 2*p - 7. Is i(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 565002437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x. Let b(l) = -3*l. Let y(k) = -b(k) + 2*q(k). Let t(f) = 6*f**2. Give t(y(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z**3 - 129440*z**2 + 129440*z**2 - 14 + 7 + 7.\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 9*h**2 + 11*h - 8. Let i be g(9). Suppose -i - 45 = -3*f - 4*a, 5*f - 180 = 5*a. List the prime factors of (-6 - -1)*(-16)\/f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 753*i**2 + 59*i**2 - 3 + 62*i + 3.\nAnswer: 812*i**2 + 62*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3054330*m**2 + 6108569*m**2 + 1 - 3054325*m**2.\nAnswer: -86*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 854 = 10*t + 2454. Let o = t + 275. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, 13 in ascending order.\nAnswer: -8, -4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -157447771.5 rounded to the nearest ten thousand?\nAnswer: -157450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 7037078 = 4*q, -11*q + 7*q + 2*o = -7037080. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272)*3*4 + (sqrt(272)*-1*3)**2.\nAnswer: 48*sqrt(17) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8*m - 33. Suppose -3*y + 2*u - 32 = -39, -5*u = y - 25. Suppose -5*w + y*o = 5, w + 15 = -2*w - o. Calculate r(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -13*w - 1. Let p be k(-4). Let l(g) = -2*g**2 + 2*g - 16. Let z be l(3). Let m = p + z. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 1. Let p(f) = f + 11. Let j(u) = 2*p(u) - 22*w(u). Let v(k) = 4*k - 42. Let n be v(11). Let c(s) = 2*s**2 + n*s**2 - 5*s**2 - s**2. Give j(c(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42 and 2700166.\nAnswer: 8100498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(p*p**6)*p)))**(2\/3)*(p*p*p**(-22)*p)\/(p\/(p**(-9\/5)\/p)) assuming p is positive.\nAnswer: p**(-392\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 50b + 31c?\nAnswer: 82a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -44 + 7*h + 7*h - 7*h + 5*h. Let q be m(4). What is the nearest to -1\/4 in 1\/2, q, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2788.\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101 + 97. Let f = 0 + -0.1. Sort f, 1\/4, -3, o in increasing order.\nAnswer: o, -3, f, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(171) + 2*sqrt(171) + (sqrt(171) + sqrt(171) + 0 + sqrt(171) + -2)*-5)**2.\nAnswer: -1008*sqrt(19) + 24820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 6) + -5 + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 2. Let c(n) = -3*n**3 - n - 1. Let k be c(b). Solve k*h - 5*h = -5*m - 21, 5*h = 4*m + 27 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/((i**(-1\/3)*i)\/i)*i)**(2\/11)*i**(2\/9)*i\/(i*i*((i\/(i*(i\/(i\/(i*i**8*i*i*i)))\/i))\/i)\/i*i) assuming i is positive.\nAnswer: i**(1153\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 851*p**2 + 1. Let y be v(1). Calculate the common denominator of (38\/16)\/(14\/(-14)) and ((-1)\/4)\/(9\/y).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygpppppdppkpppkp. What is prob of picking 1 d and 1 g?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -87, -219, -415, -681, -1023, -1447, -1959?\nAnswer: -2565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-140)*-42)\/(5 - (-816)\/(-120))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 807530 a multiple of 598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of 7\/3*k**3 - 1\/4*k**4 + 0 + 0*k + 7*k**2. List the prime factors of v(-5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) -5 (c) 1\/10 (d) -22\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -20?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 10*h**2 + 8*h - 28. Let s be i(-8). Let j be -1 - (-73 - 0\/1). Calculate the greatest common divisor of s and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/797 + 2978\/83685. Find the common denominator of a and -17\/56.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 22*k - 2. Let q be d(1). Suppose 3*m - w = w - 8, 5*m + q = 5*w. Suppose m*j - 80 = -4*j. Solve -2*y + 5*i = 2 - 30, 0 = -2*y + 3*i + j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s + 3*s + 3*s)*(-2*s - s - s) - 2*s**2 + 2*s - 2*s + s**2 - 1 + 1 + 0 + s**2 + 0.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2 - 17 = 0. Let z(s) = -s**3 + 4*s**2 - 3*s - 2. Let b be z(3). Let x be (-5)\/b - a\/(-6). Solve -x*c + c = -2*q, 5*q + 16 = -3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3485\/4 - -3475\/4. What is the common denominator of 34\/9613 and u?\nAnswer: 19226","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, 0, 1, -5 in ascending order.\nAnswer: -5, -2, 0, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5754*g + 34058 - 315898 + 76647 = 145801 for g.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*sqrt(1344) + 3*-1*sqrt(1344) + sqrt(1344))\/(sqrt(84)\/(-2*sqrt(12)) + (-2*sqrt(1008) - sqrt(1008))).\nAnswer: 96*sqrt(3)\/73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -t - 5. Suppose -2*o - 82 = -88. Sort -1, t, o.\nAnswer: t, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -456*o + 6779. Give r(13).\nAnswer: 851","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*n + 0)*(-2*n + 0*n + 0*n)*(-1671 + 1671 + 106*n**2).\nAnswer: -424*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -k. Suppose k = a - 5 + 2. What is the remainder when (-11)\/(2 - a - 0) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26526008109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 276539 > 276543?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, q: 2, m: 8, t: 1, n: 1}. What is prob of picking 1 n, 1 t, and 1 q?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1321676924?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, w: 5, a: 1}. What is prob of picking 3 r and 1 w?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 7. Suppose 5*i = 20, 3*v = -2*i + 9 + 14. Let b be c(v). Suppose -2*y = -5 - 5. Solve b*d = y*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 128, 6713, 50 in increasing order.\nAnswer: 50, 128, 6713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 311?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r*s**3*x**3*z - 4*r*s**3*x**2*z - 6*r*s*x**3 - 4*r*s*x - s**3*x**3*z + 3*s**3*x**2*z + s*x**2 wrt x?\nAnswer: 6*r*s**3*z - 36*r*s - 6*s**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 11:20 PM?\nAnswer: 5:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9374 + 17462. What are the prime factors of f?\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -4216\/3 - -2753\/3. Let i = -483 - g. Which is bigger: 5 or i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = 9*w + 62 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36 - (-2 + (0 - -3)). Let h be ((-28)\/s)\/(2\/(-5)). What is the biggest value in 4, h, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 50*w**2 + 40*w - 439. Let m be s(-49). Let y(t) be the first derivative of 9 + 6*t + 9\/2*t**m. Differentiate y(d) wrt d.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 2*h - 3. Let f(z) = 2*z. Let g(d) = 4*d. Let n(i) = 13*f(i) - 6*g(i). List the prime factors of n(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5605794.\nAnswer: 2, 3, 103811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1393190770 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/2*(-6)\/99. Let c = 76\/99 + w. What is v in -4\/9 + 14\/9*v**3 + 4\/3*v**2 - c*v + 4\/9*v**4 = 0?\nAnswer: -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 567.21096 to the nearest integer.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -2. Let t = c + 1. Solve 4*h - t*f - 31 = 5, -30 = -5*h + 2*f for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w*w*w**(-7)*w*w*w)\/w*w)\/(w**(-3)\/w))**46*w\/w**(-1\/11)*w**2*w**3*w**(-2\/9)*w assuming w is positive.\nAnswer: w**(18896\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10128*x + 30393*x - 10134*x - 10130*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299 = m + 288. Solve 5*p = 3*t - 9, p + m = -0*p - 4*t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121 + 211002?\nAnswer: 210111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 11:30 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0*i - 1\/12*i**4 - i**3 - 14*i**2 + 0. Let t(q) = 3*q + 7. Give 4*l(m) + 3*t(m).\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 35*p**2 - 158*p + 5. Calculate u(30).\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 181.48 minus -0.3?\nAnswer: 181.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -507 + 2*d + 254 - 349*d**3 + 253 to the form f*d**3 + a*d**2 + c*d + j and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in 3, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001212 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) 2 (c) 37.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2 + 11*i + 12. Let g be h(-8). Suppose 4*d + 17 + 55 = 3*k, 4*d = 2*k - g. Suppose 9 = 5*x - 6. Solve 4*y - u + k = x*u, -21 = 5*y - 3*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*h**2 + 13831*h - 15774240.\nAnswer: (h + 2785)*(7*h - 5664)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from yybyfiffffbbyybbbb?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 - -31. Suppose -k - 4*q + 266 = 0, 1004 = i*k - 2*q - 96. Suppose -4*f + k = 42. List the prime factors of f.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 880.6511 to one dp.\nAnswer: 880.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**2 + 119*x + 1. Let j be h(18). Which is bigger: j or 3438?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22787 at most -22789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/48258 and 55\/21448.\nAnswer: 193032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-144)\/(-12))\/48)\/((-2)\/12)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + sqrt(3) + ((sqrt(72)\/sqrt(8))\/sqrt(3) - sqrt(3) - sqrt(3) - sqrt(3)) + sqrt(75)*6 + sqrt(3))**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142626 is divided by 35558.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, x: 2, e: 1, g: 2, f: 2}. Give prob of picking 1 f and 2 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1122*b + 6711. Calculate f(-8).\nAnswer: -2265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*t + 111 = -69 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 7*w + 7. Let v be m(6). Let h = 200 - 199. Let r = 178.82 - 179. What is the closest to h in r, v, -1\/6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*c + 54*c + 41*c - 189*c + 46*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 19 + 6*g**2 + (0*g + 0*g + 2*g)*(4*g - 4*g + 2*g) + 40 - 23 - 11 - 2*g**2 to a*g**2 + j + c*g and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 212.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3210468, -3210470, -3210474, -3210480?\nAnswer: -3210488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38 + 288 - 153)*(3*q - q - q) to the form h*q + o and give h.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -11*g + 8 + 136. Let b = 42 + -3. What is the remainder when b is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15307 and 19?\nAnswer: 290833","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 943286?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-40)\/(-15))\/(4\/1590). Suppose -i - b = -3*s, 3*s = 7*s + 2*i - 1430. Suppose 284 = 4*v - z, v + 4*v = 4*z + s. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * 206.7\nAnswer: 186.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 83383874 a multiple of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2 + 10418460*z - 9045359064300.\nAnswer: -3*(z - 1736410)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 14*l**5\/3 - 10670*l**4\/9 + 52546*l**3\/9 + 20090*l**2\/3 - 332*l = 0.\nAnswer: -1, 0, 1\/21, 6, 249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102210110 - -3?\nAnswer: 102210113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 15 = -t. Let u = -0.08 + 0.147. Let o = u + -0.267. Sort t, o, 3\/2.\nAnswer: o, 3\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 654.0101 millennia?\nAnswer: 7848121.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21 - (6\/14)\/((-99)\/(-2310)). Suppose 8 = f - 3*f. Put 0, j, -5, f in ascending order.\nAnswer: -5, f, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7563 - 0.3637. What is w rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20369593 - 21550232 = -75*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169 is divided by 58.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1030 - -1125. Calculate the remainder when y is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -968*c + 6498 = -1690*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxyywxdhyyxyxxdyxy. What is prob of picking 1 h and 2 d?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 14 = -20 + 9. Are s and 8\/701 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-46)\/8 + -13 + 19. Let x = 7.92 - -0.08. Let m = x - 6. What is the closest to m in q, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/616 and -111\/880.\nAnswer: 6160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34942?\nAnswer: 2, 17471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, -5, -1\/5, -435, 1 in decreasing order.\nAnswer: 84, 1, -1\/5, -5, -435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 3*f**2 + 3*f. Let i be b(2). Suppose i*d + 416 = 6*d. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, m: 1, g: 2, h: 2, s: 1}. What is prob of sequence gmcs?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -585971736 divided by 2\nAnswer: -292985868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, 65, 1, 3.\nAnswer: 1, 3, 41, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(3 + 3)*(6840\/(-400) - 204\/(-12))?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**3 - l - 2. What is y(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35817*l + 57 = 35763*l - 213. Let n = 3 - -2. What is the closest to -6\/13 in n, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10182?\nAnswer: 2, 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h**2 - 10*h + 8. Let u(p) = -2*p**2 + 9*p - 7. Let b(f) = 3*j(f) + 4*u(f). Let l be b(-7). Suppose a + l*a - 48 = 0. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*q - 60 = 0. What is the smallest common multiple of q and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.111 + -43467989.1?\nAnswer: -43467989.211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of -y**9\/241920 - y**8\/80640 - y**5\/15 + 13*y**2. Let h(s) be the third derivative of v(s). Factor h(n).\nAnswer: -n**2*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 9*v + 10. Let o be f(-10). Suppose o = -3*m - 3*d - 99, 0*m + 3*m + 101 = -d. What is the common denominator of m and -28\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254*b + 71*b - 183 = 0. Sort 5, b, 920 in decreasing order.\nAnswer: 920, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -14. Suppose -5*y - 3*p = -349, u = 3*y - p + 6*p - 203. What are the prime factors of y?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 4:55 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-11)\/330*-10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -2)*2*684\/(-48). Solve -59*k = -r*k - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*m + 30*m - 6. Suppose 4*z = 12, 2*w + 5*z = 7*w. Put m, -3, w, 4 in increasing order.\nAnswer: -3, m, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(135)\/sqrt(3)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 857996.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1222 and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (84\/63)\/((-1)\/(-78)). Let z = d + -34. List the prime factors of z - (-1)\/2*-2.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 9 = t - 5*n, -t = -2*n - 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6017999013 + -1.6018. Round g to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 9, c: 2}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**3 - i**3 - 2*i**3)*(-16*i + 10*i + 109*i)*(-7 + 0 + 3) as b*i**3 + j*i**2 + w + p*i + u*i**4 and give u.\nAnswer: 824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + w + 245. Let j = w + 52. Calculate the smallest common multiple of (-4)\/(-12) + 23\/j and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21.8 - 21.4. Let m = 0.1 + 0.2. Put m, f, 3 in ascending order.\nAnswer: m, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 820?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5103219 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 20e (base 16) to base 14\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 120023320132?\nAnswer: 120023320122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25075\/322784 - 1\/4192. Let y = v - 290\/231. Let r = -4 - -4.4. Put 4, y, r in descending order.\nAnswer: 4, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21348 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -4*s**5\/5 + 261*s**4\/2 - s**3\/3 - 7033*s - 327. Differentiate u(w) wrt w.\nAnswer: -16*w**3 + 1566*w**2 - 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 12. Let a be y(-10). Let p = -101\/14 - -3791\/378. What is the common denominator of (a\/(-4)*218)\/30 and p?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 294\/(-102) - 8\/68. Let n(x) = -39*x + 18. Is n(t) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-48)\/160)\/((-9)\/(-25))*(-4)\/(-5). Which is the fifth smallest value? (a) 0.04 (b) i (c) -1 (d) -7\/11 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 36 = -4. Find the second derivative of l**5 + 2 - i*l - 8*l + l**5 - 2*l wrt l.\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - ((9 - -25) + 7 + -2)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*4)\/(sqrt(6) - -3*(sqrt(486) + sqrt(6)))*-1.\nAnswer: -12*sqrt(2)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*38*(-3)\/(-6). Let y = 60 - w. Let g = 117 + y. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166 divided by -10344\nAnswer: 83\/5172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.187 + -95.46144.\nAnswer: -96.64844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/735 and 103\/315.\nAnswer: 2205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9281 = -3*f - 4*h, -13471 = -5*f - 2*h + 1988. List the prime factors of f.\nAnswer: 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -474.25?\nAnswer: 948.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 1. Let m be 3\/(-12) - (-50)\/8. Suppose 4*q - 106 = -5*y + m*q, -4*y = -q - 86. Calculate the remainder when y is divided by z(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = -5*i + 3*u, -23 = -3*i + 3*u + 91. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5741*v + 13*v**5 + 21*v**5 - 29*v**3 - 1113*v + 35*v**3 - 95*v**3 wrt v?\nAnswer: 680*v**3 - 534*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8238.\nAnswer: 2, 3, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 14*d + 21. Let z be i(15). Suppose -4*p - 8 = 2*h - 30, 3*h - 3*p = z. Suppose k - 8 = -q - 2, -h*k = q - 22. Solve r = 2*r + q for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 439 is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 77\/(-33)*(-24)\/(-40).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 888241, 888244, 888247, 888250, 888253?\nAnswer: 888256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 - 595*i + 2937. Determine z(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.9, 6, -0.5, -2\/31?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + d. Let r be 9\/(-6)*8 + 0. Let q be 8\/(-6)*(-18)\/r. What is the units digit of z(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -31*l**2 + l - 88. Let u(z) = -31*z**2 + z - 87. Let x(i) = 6*c(i) - 5*u(i). What is the first derivative of x(a) wrt a?\nAnswer: -62*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3390541?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1368*o = -1394*o + 78 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -233\/7075 + -2\/283. Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0031316228 rounded to five decimal places?\nAnswer: 0.00313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 + -4 + -5)\/(2\/(-3)). Suppose o = 2*o, -20 = -5*m - g*o. Solve -z = m*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3)**(1\/28) assuming j is positive.\nAnswer: j**(3\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c + c - 3*c + (-1 + 3 - 1)*(c - 2*c + 0*c) - c - 2*c + 2*c)*(-9 + 13 - 17).\nAnswer: 208*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*c - 255*c - 2*i = -18, 3*c = -i + 15 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide (-9108)\/(-30)*(4*60\/8 + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 243, 4, 1547.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**6\/120 + u**4\/24 - u**3\/6 - 385*u**2 - 2*u. Let a(o) = 13*o**3 + 8*o - 6. Calculate -a(i) + 6*b(i).\nAnswer: -19*i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -22257212 (base 8) in base 12?\nAnswer: -173a722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -230, -488, -892, -1514, -2426, -3700, -5408?\n\"Answer: -12*i**3 - i**2 - 171*i - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 6*w - 5. Let m be p(-4). Suppose 26 + 13 = m*h. Suppose -h + 43 = 3*k. Does 10 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1088755939 to the nearest integer?\nAnswer: 32996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 116*u + 1013 wrt u?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1680 - 1684. Let a(r) be the second derivative of r**6\/360 + 7*r**5\/120 + r**4\/6 - 3*r**3\/2 - 9*r. Let c(s) be the second derivative of a(s). Give c(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggp when three letters picked without replacement from pkggk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 119*g + 10. Let v(u) = 3*u**2. Calculate p(v(h)).\nAnswer: 357*h**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -16*t - 14*t - 5*t**2 - 4*t**2 + 34*t. Let b(r) = 19*r**2 - 9*r. Let q(s) = -4*b(s) - 9*u(s). Let g(k) = -23 + k + 23 + 0*k. Give g(q(j)).\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**8\/224 - 3*f**7\/70 - 3*f**6\/40 + f**5\/2 + 39*f**4\/16 + 9*f**3\/2 + f**2 - 359. Suppose p(v) = 0. Calculate v.\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -329107 divided by 329107?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -650, -723, -806, -899, -1002, -1115?\nAnswer: -1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71*5.8153.\nAnswer: -412.8863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*s + 1861 - 1861)*(-1 - 5 + 4).\nAnswer: 96*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*i. Let o be (i + -1)*-3 + 0. What is the first derivative of x**2 - 4 + 3 + o*x**2 - 2*x**2 wrt x?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 - 59. Let k be r*-6*1\/(-4) - -8. Is k + -9 - (-2466 - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1324876 is divided by 268.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + (10 + -16 - 13 - 55).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 10*p - c - 16509 = 0, -5*p + 3*c + 16517 = 0. Is 31 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 85*a + 548. Let j be f(-78). Which is bigger: j or -342?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 1:31 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-126))\/(-1 - (-80)\/78)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -720.4 - -720. Let c = 2 + -3. What is the nearest to 2\/3 in y, c, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 4\/5, -16\/9, -1\/39, -3?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - -1*sqrt(21))*2*3)\/(sqrt(9)\/(sqrt(108) + sqrt(108) + sqrt(108)*-2 + sqrt(108) + sqrt(108))).\nAnswer: 144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j**5\/5 + 26066*j**4\/15 - 3338*j**3\/5 - 16134*j**2\/5 + 22372*j\/15 + 3312\/5 = 0. Calculate j.\nAnswer: -621, -4\/3, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17892147.\nAnswer: 3, 7, 13, 65539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/4 - 1 - (6 - 0). Suppose -10 = -3*c + 11. What is the remainder when c is divided by (a - (0 + -1))\/(-26 + 24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r - 9. Let k be l(7). Let s = 2.1 - 0.1. Put -0.3, k, s in decreasing order.\nAnswer: k, s, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yacc when four letters picked without replacement from {g: 1, t: 1, y: 2, c: 2, a: 10}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12566 and 110.2.\nAnswer: -1384773.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 200*j + 19521 + 38279. Which is greater: -286 or j?\nAnswer: -286","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 101. Suppose -2*z - 5*m + n - 2 = 0, 2*z - m - 16 = 0. Does 10 divide (-39)\/65 - (-1726)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, p: 1, k: 7, c: 3, d: 7}. Give prob of picking 1 p and 1 k.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*v + 5 = 0, -3*i - 2*v + 18 + 7 = 0. Suppose -2082 + 12482 = 65*u. Calculate the highest common divisor of i and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 16*q - 13. Suppose 33 = 147*n - 150*n. Determine h(n).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 539260 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 3778.\nAnswer: 1\/1889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(1088) + sqrt(1088)*-1*6)**2 - (sqrt(1088)*1)**2*3 - ((sqrt(1088) + 0)*6*-5)**2)*6)*-2 + -1.\nAnswer: 11463169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*j + 24*j + 26 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3 - 18496*s + 36996*s - 18501*s + 13. What is q(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 1532*c + 1192. Determine o(-1).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1745 and 3141?\nAnswer: 15705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 8*l**2 + l + 6. Let i be s(8). Suppose 5*k + 16 = -i. Does 6 divide (21 - 3)\/(k\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -124 - -78 - (3 - 83).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((1582\/28)\/((6\/(-10))\/(369\/205)))\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 53605310 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 53295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**5 + 0*p**5 + 4*p**5 + 3*p**5 + p**5 - p**5 + (p - 4 + 4)*(-4*p + 4*p + 3*p**4) - p**5 + 3*p**5 - 3*p**5.\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**2 - 74 - 95*a**3 - 8*a**2 + 6 + 2*a**2 + 96*a**3 to r + j*a**2 + w*a + u*a**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*d + 185 + 3*d - 212)*(1 - d - 1) as s*d**2 + u*d + c and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 358 - 350. Let p be -5 + w + -2 - 14\/26. Factor 2\/13*o**3 - 8\/13 + 0*o + p*o**2.\nAnswer: 2*(o - 1)*(o + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*(171\/(-36) + 5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 117*c + 472. Let q be l(-4). Solve x - 2*z - 2 = 0, -x = -q*z + 3*z for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42453, -84920, -127381, -169830, -212261, -254668, -297045, -339386?\nAnswer: -381685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/5 of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 792*x + 1310. What is f(-2)?\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 8*d - 1. Let s be j(7). Suppose -20 = s*a - a. Is 0 - a\/((-12)\/(-489)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/5, 1, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3863, 3845, 3813, 3761, 3683, 3573?\nAnswer: 3425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -255471062567050 - -0.2.\nAnswer: -255471062567049.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33746.\nAnswer: 2, 47, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8137948.\nAnswer: 2, 7, 13, 79, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206632?\nAnswer: 2, 23, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.05 or 64.43?\nAnswer: 64.43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -b + 3*m - 3, 0 = 2*b - 4*m - 2. Let k be b + -106 + -1 + -5. Let i = k - -309. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(112)\/sqrt(4))\/sqrt(4) - (sqrt(448)*1 + 0)**2.\nAnswer: -448 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13 - -17 - 2 - (-4 - -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/5 in -67, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12874408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 333 divided by 906\nAnswer: 111\/302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104735350?\nAnswer: 2, 5, 2094707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i. Let g be q(-2). Suppose -3 = g*z - 15. Suppose -2*l = 2*d, l - 3*d = -d + z. 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 next term in 122291, 122297, 122303, 122309, 122315, 122321?\nAnswer: 122327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 6*f + 455 = 476, -2*a + 5*f - 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 + -86. Solve -3*y + z = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1122406 is divided by 215?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**5 - 31*i**4 - 91*i**3 - 81*i**2 - 18*i = 0.\nAnswer: -6, -3, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 879 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9918 + -3267. Round x to the nearest one hundred.\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2. Let j(d) = -69*d**2 + 70*d. Determine j(a(f)).\nAnswer: -276*f**4 + 140*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 12:44 PM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 20*d**2 + 237*d - 4912. Let o be x(18). Is 5001 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggygggyygggggg. What is prob of picking 2 g and 1 y?\nAnswer: 105\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0\/1 - (1 - 1). Suppose 0 = x + x. Let v = x + d. Solve -2*s + 4 + 2 = v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13700 divided by -1370.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -8*o - 163. Suppose -w - 5*y - o = -5*w, 2*y = -6. What are the prime factors of w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5800.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + 57. Let p = -105 + a. Calculate the common denominator of (15\/135)\/(4\/p) and 149\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -501573, -1003143, -1504713, -2006283, -2507853, -3009423?\nAnswer: -3510993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -16*t - 5. Let l be (-33)\/8 + 2\/16. Does 20 divide u(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 5*l**2 - 5*l + 5. Let a be h(4). Let p = 30 + -30.22. Let b = 5.22 + p. Sort b, -5, a in increasing order.\nAnswer: -5, a, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 - 437\/5. Let d be (-6)\/(-3) - (-3 - 2). Let h be 340\/(-32) + d + 4. Put -2\/7, 2, q, h in decreasing order.\nAnswer: 2, h, -2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.5 + -9. Let g = p - -0.7. Suppose 4*k - 6 = -2*l, 0*l + 3 = 5*l + 4*k. Sort g, l, -1\/6 in ascending order.\nAnswer: l, -1\/6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5466123 divided by -1\nAnswer: -5466123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 256 - 156*y - 256 to v + n*y and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (24\/(-54))\/((-10)\/135*3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r + 35. Calculate the remainder when 8 is divided by z(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, d: 2, k: 7}. What is prob of sequence dkkz?\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7\/1411 + 76121\/299132. Find the common denominator of h and 37\/20.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -14*a**3 - a**2. Let d be c(-1). Suppose -3*i = -x + 2*i + d, -2*i = 4. Solve -1\/3*h**x + 0 + 0*h - 1\/3*h**2 = 0 for h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15956 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 4 - 1) + 1 + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -17, 1, -2\/9, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -0.038 (b) 1\/6 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -17. What is the nearest to -1 in h, 1\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 64. Let i = 59 + b. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -4. What is the second derivative of -7*j**h - 4*j + 3*j**2 + 0*j wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149025200 divided by -1862815.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbvnymu. Give prob of picking 1 y and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(544\/200)\/(6*(-25)\/(-375)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by (6\/3 + -30)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/6 - 1090*l**3\/3 - 209302*l**2 - 36903040*l\/3 - 573114368\/3.\nAnswer: -(l + 32)**2*(l + 1058)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22.9, 1325, -2.\nAnswer: -2, 22.9, 1325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 686\/45 - 130\/9. Let r = -270 + 269.9. Put 2, r, j in increasing order.\nAnswer: r, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k + 4 - 4 + (2*k - 2 + 2)*(3 + 3 + 0) + 2*k - 2*k + 2*k)*(57 + 2*k - 57)*(-k + 3 - 3).\nAnswer: -40*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, -510.\nAnswer: -510, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 213*y**2 - 414*y - 1677. Give o(211).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20916\/72127 - (-12)\/22. Let i = n + -10652\/12561. Is 0 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19253, 76908, 173005, 307556, 480573, 692068, 942053, 1230540?\nAnswer: 1557541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50884?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -24, -0.1, 4, -1, -2\/47?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + -1 + 0)*-13. Let r be 1*(-5)\/(5\/(-26)). What is the highest common divisor of n and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -63*i**2 + 89*i - 86. Differentiate y(j) wrt j.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, g: 5, t: 5, e: 1}. What is prob of sequence mgt?\nAnswer: 5\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24099\/8 - 3001. Let y be ((-11)\/4)\/(15\/(-13026)). Let w = y - 2390. What is the common denominator of i and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*l**5*t**2 + 1590*l**3*t**3 + l**2*t + 264*l**2 - 3*t**3 wrt l.\nAnswer: 1380*l**2*t**2 + 9540*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 bigger than -153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -32\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13330226 and 182?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-264)\/18)\/(6\/(-45)) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, m: 6, n: 1, z: 1}. What is prob of picking 1 m and 1 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 80401111 a multiple of 1156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26189693?\nAnswer: 41, 397, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 1655614104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 2260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -49 (b) 4 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**2 - 65*w - 1037. What is v(-28)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 317 + 11 = 0. Calculate the remainder when j*(-4)\/(-16)*-2 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + a = -0*a - 11, -3*a = 2*i - 11. Calculate the lowest common multiple of 16 and 6\/i*64\/6.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43979?\nAnswer: 13, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 2*u - 3. Let q(i) = 4*i - 4 - 4*i + i + 17. Let o be q(-11). What is the units digit of s(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, p: 9, k: 3, j: 2}. Give prob of picking 2 j and 1 p.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 579240 less than or equal to 579302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*sqrt(891) - (1 + -2 + sqrt(891)).\nAnswer: 1 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 - 40759*b + 15466760.\nAnswer: -(b - 376)*(b + 41135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - -1404221350?\nAnswer: 1404221333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -100101111100101011 (base 2) to base 13\nAnswer: -55997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -25, 1, -30?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3210*q + 1022*q = 292008 for q.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*q = 0. Suppose -2*d = -3*v + 85, q*v - 30 = -2*v - 4*d. Let 1 - 8*p**2 - 18*p**4 + v*p**4 - 4*p - 2*p**3 + 2*p + 4*p**5 = 0. What is p?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 134\/402 - 10\/(-12)*14 and 5976.\nAnswer: 5976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57*0.0136963\nAnswer: 0.7806891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 5, -29 in ascending order.\nAnswer: -29, -8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13600878 and 372.\nAnswer: 27201756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 15\/16151 (b) 1 (c) 4\/7 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 200328 = 1942*n - 1945*n, -3*o = -3*n + 200304. List the prime factors of n.\nAnswer: 3, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-9)\/j)**50\/(j**(-2\/49)\/j**(-16)))**12 assuming j is positive.\nAnswer: j**(-303384\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(27) + 4).\nAnswer: 4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r. Let f(d) = 24*d**2 - 1192*d + 1 - 1 + 1194*d - 77*d**2. What is f(h(y))?\nAnswer: -53*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3*b**4 + 5*b**3 + 8*b**2 + 4. Let i(g) = 2*g**4 - 5*g**3 - 8*g**2 - g - 3. Suppose -8*k - 30 = 2*k. Let w(x) = k*u(x) - 4*i(x). Factor w(h).\nAnswer: h*(h + 1)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63821613 to the power of 1\/2, to the nearest integer?\nAnswer: 7989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 12:31 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17.25 - -1.5345931\nAnswer: -15.7154069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/9 and 30\/44239.\nAnswer: 398151","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**4\/7 + 1424*y**3\/7 + 164953*y**2\/7 - 1210410*y\/7 + 1749600\/7 = 0?\nAnswer: -1296, -135, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399455?\nAnswer: 5, 7, 101, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**5 + 65*z**4 - 60*z**3.\nAnswer: -5*z**3*(z - 12)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*m - 10, -m - 1 = 3*i - 23. Let s(c) = -2*c + 23. Give s(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/187 (b) -202 (c) -199 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9615949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1188356 is divided by 1750.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 3\/2, 2\/13, 1\/2, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 3. Let c = 3.95 + 0.05. What is the closest to n in c, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1104\/3128)\/((-14)\/(-7))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14072 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 341051 (base 6) in base 2?\nAnswer: 111000001010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 0.06952?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 694917 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-2)*(-55)\/495?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e3525 - -4?\nAnswer: -2e3521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.94 and -1836371.\nAnswer: -1836376.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 24, -0.2 in descending order.\nAnswer: 24, 4, 1, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 + 22336 + (4 - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28115 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 15*n - 1. Let f be r(2). Calculate the highest common factor of 319 and f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/27 - (-416)\/72.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 12 = o, -2*l = 5*o + 20 - 52. Let d(t) = -t**3 + 33*t**2 + 10*t - 323. Let f be d(33). Is o at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.48 + 0.08. What is the nearest to 0 in d, -0.6, 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1063405300 to the nearest integer?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -23, 1\/2, -3\/4, 2\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, a: 2, i: 5, h: 2, t: 6}. What is prob of sequence hi?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 9*r**2 + 31*r - 7. What is n(-6)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 - -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 + 338645*d - 2370760.\nAnswer: 5*(d - 7)*(d + 67736)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -338684808 divided by 30789528.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jipiijjiccxpojo. What is prob of sequence coc?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or -5944691?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v - 21. Let z be h(6). Is (36492\/(-16))\/(z\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9399277980 by -6.\nAnswer: 1566546330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 - 9 + 3*d**2 + 4 - 8*d**2 to the form m*d**3 + l*d + y*d**2 + f and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -345 and 1?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 3*v**2. Suppose -4*x = -5*u + 7, -u = -3*x + 4*u - 9. Suppose r = -2 - x. Calculate m(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s - 401. Let n(m) = -37*m**2. Calculate c(n(h)).\nAnswer: -37*h**2 - 401","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6194?\nAnswer: 2, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*b + 10 = -7, 3*b - 31 = 4*w. Let c(t) be the second derivative of -t**3\/2 - 3*t**2 - 3*t. Is c(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34.79 - 32. Let q = -2.883 + a. Round q to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -17*n + 11. Let q = 98 + -89. Let l(v) = 8*v - 5. Give q*l(y) + 4*h(y).\nAnswer: 4*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2270799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x. Suppose 31 = 3*y - t - 4*t, -2*y - 3*t = 11. Let l(r) be the third derivative of 0*r**3 + 1\/30*r**5 + r**y + 0 + 0*r + 0*r**4. What is l(f(a))?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676717 is divided by 176?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*y - 0*y. Let i = -11 - y. Solve z - i = 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**2 - a + 8*a**2 + 28*a**2 - 3*a.\nAnswer: 30*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 4. Let u be 2\/(-2) + (-1 - -6). Let i be t(u). Which is greater: i or -1.3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 4:26 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 1417 = -1432 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 412714966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 99, 88, 73, 54, 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/492 and -13\/33.\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126 and 40410531.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -11\/111?\nAnswer: -11\/111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 7) to base 16\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 5. Let t be (-5)\/(-5)*(1 + -1 + -1). Let h be g(t). Solve 6 = h*k - 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 5654.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 1034?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(2\/33)\/j*j*j*j*((j\/(j\/(j*j**(-1\/6))))\/j)\/j*j*j*j)**(-1\/44)*(j**(-1))**8\/((j*j*(j**(3\/2)\/j)\/j)\/(j*(j*j*j**(1\/4))\/j)) assuming j is positive.\nAnswer: j**(-21443\/2904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70250 divided by 562.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t**2 + 7*t. Suppose -4*o + 7*o - 15 = 0. Let a(p) = -3*p**2 - 5*p. Give o*g(c) + 7*a(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/n**1))\/n**(-1\/3)*n**(-3)\/(n*(n*n\/((n**(4\/5)\/n)\/n))\/n*n) assuming n is positive.\nAnswer: n**(-103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/8 - (-17)\/(-4). Let o(i) = -i + i**2 + 6*i**2 + 9 - 4*i**3 - i**3 + 4*i**3. Let g be o(7). Sort u, g, 0 in ascending order.\nAnswer: u, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1221 and 1230546.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 149 + -145. What is the closest to 1 in b, 1\/7, -0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2835 + -4990. Let c = s + 2161. Let f(k) = 17*k**2 + 1. Calculate the remainder when f(-1) is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-3) + (-604)\/(-72) + -2 and -38\/111.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m + m + 171*m**3 + 2*m**4 - 176*m**3 + 3 to f*m + w*m**3 + h + r*m**4 + c*m**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742675807 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -210 + 203. Which is smaller: n or -3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 68*u**2 + 1472*u - 2640.\nAnswer: -4*(u - 11)*(u - 2)*(u + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-52)\/(-14) - (-22)\/77. Let u be 18\/o*(-20576)\/24. List the prime factors of -1*(-3)\/12 - u\/24.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 136*y - 12645. Determine w(93).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**16*s)\/s))\/(s\/(((((s\/(s\/s**(-18))*s)\/s)\/s)\/s)\/s)))**33 assuming s is positive.\nAnswer: s**(-1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52, 239, 568, 1051, 1700, 2527?\nAnswer: 3544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*x = 20 - 148 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36420 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 28) + -24 + 15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/12*(-1431)\/3. Let p = k + -568. What is the common denominator of p and 0 - ((-23)\/(-16) + 0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 15 = 4*o, 4*l - 19 + 1 = 2*o. Let r = l - 3. Let g = -2 + 4. What is the remainder when r is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 11 + 14. Let d be -1*(-4)\/(2 + o). Suppose -147 = -d*q - 31. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 8:14 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 475280 to the nearest one thousand.\nAnswer: 475000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 16. Let l be 0\/1*x\/12. Solve l = i + 4 - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/30)\/(1\/(-2)). Let a = 0.25 - -0.05. Let v be 1 - (3\/(-12))\/((-2)\/20). What is the biggest value in v, a, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 45 - q + 38 - 126 + 45. What is j(19)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a4 + 10c?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.325? (a) 0.4 (b) 7\/10 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/205?\nAnswer: -4\/205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 10:50 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 853, -6041, -2, 1 in ascending order.\nAnswer: -6041, -2, 1, 853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.0942+0.002205993\nAnswer: -0.091994007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -3*c - 7, -2*c = n + 1 + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3750 by -48.\nAnswer: 625\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-28)\/8 - ((-9)\/(-6))\/(-1). Let q be (c - 373)*(-5)\/(-15). Let s = -59 - q. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -55) + (-10 + 12 - (14 + -12 + -6))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -110*k**3 - 10*k**2 - 5*k. Let y(j) = -111*j**3 - 8*j**2 - 4*j. Calculate -4*n(w) + 5*y(w).\nAnswer: -115*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 381601169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -882 divided by 14955?\nAnswer: -294\/4985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (33\/22)\/((-55)\/10 + 4). Let x(u) = -7*u**3 - 2*u**2 + 6*u + 4. Let l(w) = -w**3 + w + 1. Calculate t*x(k) + 6*l(k).\nAnswer: k**3 + 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 18625334 divided by -5?\nAnswer: -18625334\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90 + -81. Suppose c*m - 29 = 7. Suppose -114 = -m*z + 2*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -532862.5117 to the nearest ten.\nAnswer: -532860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -41.2 and 2.1.\nAnswer: -39.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 22. Suppose 5*a = 6 + m. Suppose 8*c = 18*c - 40. Solve -z + q + 0 = -8, -a*q + 11 = c*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5211, 5213, 5225, 5253, 5303, 5381, 5493, 5645?\n\"Answer: z**3 - z**2 - 2*z + 5213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 6:30 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 13. Let b(c) = -9*c - 2 + 224067*c**2 + 0*c**3 - 224076*c**2 + 0*c**3 - c**3. Determine b(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 19 - 29 - 6*d**3.\nAnswer: -6*d**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 94*r**2 - 40792*r - 1736 = 0.\nAnswer: -2\/47, 434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 - 249 = -60*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 7692400 to the nearest 100000.\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/6 + 7*g - 43\/6.\nAnswer: (g - 1)*(g + 43)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktefteceefpt. What is prob of sequence kpc?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194, 375, 556, 737, 918?\nAnswer: 1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 15767, 15630, 15473, 15290, 15075, 14822, 14525?\n\"Answer: -j**3 - 4*j**2 - 118*j + 15890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*j + 2*j = -3, 0 = 3*j + 9. Suppose 0 = -a - s + 16. Solve a - 3 = 3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r**3 - r**2 + 5*r - 5. Let d be l(1). Solve d*y - y - k - 7 = 0, -4*y + 5*k - 13 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -514 divided by 3590?\nAnswer: -257\/1795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 5:15 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2 + 30*v - 4. Let w be o(-15). Is 440*(28\/24 + w\/6) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 155*o*p**2*y**3 + o*p**2*y - o*p**2 - 2*o*p*y**3 + 32*o*p*y + p**2*y**2 wrt y.\nAnswer: 930*o*p**2 - 12*o*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-28)\/35 + 4188\/(-15). Let s = r + 341. List the prime factors of s.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x - 8*x + 6*x. Let k(p) be the first derivative of -3\/2*p**2 + 1 + 0*p. Give z(k(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136829.\nAnswer: 3, 29, 73, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 35070463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9133*r**2 - 9143*r**2 - 512*r + 512*r.\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -132 - -135. Solve -b + y*x = -10, -5*b - 3*x + 14 = -0*x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -55, -123, -247, -445?\nAnswer: -735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 44*v + 1086. Determine p(-61).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -451131111 (base 6) to base 12\nAnswer: -28a3a97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 25.1. Let v = 2.1 - j. Let b = -1 - -1.1. Is v >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1641, -5.003?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 648356 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-945)\/30)\/21*16326*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109.015060684739 - 0.3?\nAnswer: -109.315060684739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15 - (-3249)\/(-209)) + (-69596)\/22. What is l rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsv when three letters picked without replacement from {s: 1, t: 4, d: 5, h: 2, v: 1, c: 7}?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002991678 to six dps.\nAnswer: 0.002992","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**4\/4 - 6*n**3 - 28*n**2 + 20*n + 54. Let t be s(-14). Solve -10 = t*w - 15*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 43 - (54 - 93).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30799 - -1232037\/40. Let x be 2661\/10620 - 1\/4. Let h = -45137\/3540 + x. What is the common denominator of h and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6609 = 265*x + 249 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-78)\/(-21) - (-16)\/56. Solve 0*n = -m*g + 2*n + 10, 0 = 4*g - 3*n - 7 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -2175340?\nAnswer: -1087670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 1. Let y be v(-2). Let m be 4 + (-15)\/y + 4. Suppose -3 = -m*g + 3. Is 1 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + p**2 - 1. Let c(s) = -2*s**3 + 5*s**2 - 21. Let y(t) = -t**2 + 77*t - 425. Let o be y(71). What is o*c(f) - 4*x(f)?\nAnswer: 2*f**3 + f**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 5*s - 47. Let d be w(-5). Let u = -4 - -7. Suppose 4 = u*v - g - 6, -2*g - 11 = -d*v. Solve 0 = -4*f + v*f - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25540951 - 14558336399\/570. Let p = h + -17\/114. Find the common denominator of 25\/7 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 54149004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -109*m - 1. Let s be i(-1). Let k = -108 + s. Let g = -7.05 + 0.05. What is the closest to -2\/5 in -2, k, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-1 + -3))*7\/(-56)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 583941379.\nAnswer: 7, 193, 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 185*c**2 - 19*c + 96. Does 4 divide w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/15 (b) -3 (c) 0.3 (d) 2 (e) -228 (f) 3.43 (g) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 154*b*x**4 + 2*b*x**2 + 593*b + 3 wrt x.\nAnswer: 616*b*x**3 + 4*b*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -21. Let z(r) = 2*r**2 + 11*r - 5. Let s be z(x). Suppose 0*a - s = -5*a. Solve n = 2 - a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grafaoos. What is prob of picking 1 a and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 560, 540, 484, 374, 192?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 33, 2, 135 in increasing order.\nAnswer: 2, 33, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**5 - v**5 + v**5)*(1 + 2 - 5) - 2*v**5 + 0*v**5 + 0*v**5 + (2*v - 5*v + 0*v)*(v**4 + 5*v**4 - 3*v**4).\nAnswer: -15*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.86 + 4. Let p = 6.14 - b. Let v = -0.0939 - 3.9061. Put p, v, 2\/7, -2 in decreasing order.\nAnswer: p, 2\/7, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 1, k: 2, a: 2, z: 1, t: 2}. What is prob of sequence tt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 404802103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that s**5\/5 - 33*s**4\/10 - 123*s**3\/10 + 2893*s**2\/10 - 267*s\/2 - 702\/5 = 0.\nAnswer: -9, -1\/2, 1, 12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/254760 and -121\/40.\nAnswer: 254760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 598\/35?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 7*j**6\/60 - 71*j**5\/20 + 112*j**2. Find the third derivative of y(o) wrt o.\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/504*-6)\/((-16)\/(-56))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 6. Suppose u - 4 = -r. Solve 5*i - 1 = u*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*w - 76*w - 46*w.\nAnswer: 164*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/5 - 17566*l**3\/5 - 417744*l**2 - 16658560*l - 221772800.\nAnswer: -2*(l + 40)**3*(l + 8663)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4065, 3622, 2885, 1854, 529, -1090, -3003?\n\"Answer: -147*c**2 - 2*c + 4214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401914*a**3 + 229123*a**3 - 2212664*a**3 - 1050308*a**3.\nAnswer: -3435763*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 14. Suppose -2*d - 2*d - 188 = y. Calculate the common denominator of d\/(-55) + 4\/(-10) and 16\/21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3\/5 + 957*q**2 - 8954856*q\/5 - 14327759628\/5 = 0. What is q?\nAnswer: -1662, 1729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.7, -13, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-6)\/15*-2*12\/312?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10983, -10970, -10957, -10944?\n\"Answer: 13*z - 10996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 11:35 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16468 divided by 179\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, p: 5}. What is prob of picking 4 x?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310 = 255*a + 1263 + 577 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1110321 - 1202?\nAnswer: -1112123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38.3 in 1, 0.3, -6\/5, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 8:35 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 34 = -3*f, 0 = -4*f - 4*x + 6*x + 64. Is 5 a factor of 84\/(-9)*(-36)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.4 - 7.2. Let p = 135.43 - 136. Let n = 2.43 - p. Which is the smallest value? (a) n (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-7)\/(21\/(-6)). Let u = -5 + 8. Suppose w = u*c - 845 + 92. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 566361560 to the power of 1\/2, to the nearest integer?\nAnswer: 23798","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - 9*s**2 - 10*s - 43. List the prime factors of z(-7).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*l - 164532 = -27475. List the prime factors of l.\nAnswer: 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 8:43 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 526218.\nAnswer: -1\/263109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -422, -5, 12.3 in descending order.\nAnswer: 12.3, 1, -5, -422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j + 6*j + 24*j**2 - 48*j**2 to i + y*j**2 + m*j and give y.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*q + 553*n - 556*n - 1137 + 291, -2*n = -2*q + 74 for q.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, n: 6, h: 11}. What is prob of sequence xn?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 996 - 663. Let w = -335 + z. What is the nearest to w in -0.4, 4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.60271 to 2 decimal places.\nAnswer: -42.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - (-9 - 0)*11*3\/(-33)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*w - 4665, -5829 = -3*p - 2*p - 4*w. Calculate the remainder when p is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*q - 55*q + 552*q**3 - 98*q**2 - 548*q**3.\nAnswer: 4*q**3 - 98*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 11:39 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 7811447.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 272576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 39989.54 to the nearest 1000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 13. Let k = -198 - -211. Let l(o) = -k*o**2 - 11*o + 11*o + 15*o**2. What is l(g(x))?\nAnswer: 8*x**4 - 104*x**2 + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -55849 divided by -5?\nAnswer: 55849\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 6102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-56))\/((-21)\/(-56)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b*b*b**(3\/8)*b))\/((b**(1\/13)*b*b)\/b*b))\/((b**(-2\/9)*b)\/b*b)**(2\/3) assuming b is positive.\nAnswer: b**(-11149\/2808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 10.7.\nAnswer: -13.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2158)\/(-7) - (-570)\/(-1995). Calculate the greatest common factor of 322 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 1:01 AM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 4*s + 1. Let v be f(-5). Suppose u = -5*a + 4*u + 1, -v = -2*u. Solve -5*y + 23 = 4*t - a*y, -3*t - 3*y + 18 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4951999571 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81326)\/(-5495)*(-5)\/(-20)*-10?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u - 27. Let p(q) = -7*q**2 - 30*q + 3. Let z(h) = 8*h**2 + 40*h - 4. Let a(o) = 4*p(o) + 3*z(o). Give i(a(m)).\nAnswer: -8*m**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -117*-1.4\nAnswer: 163.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g - 2. Suppose -4*z - z + 5*b = 5, 5*z - 3*b = 5. Let a be x(z). Solve -3*u = a*u - 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 36*r - 42. Let y(j) = 5*j - 6. Let h(p) = 2*b(p) - 15*y(p). Does 8 divide h(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -119.9 - -119.9. What is the closest to 0 in x, 3\/2, 0.1, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/494385 and -55\/395508.\nAnswer: 1977540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c - 6. Let y be 4 - (4 + -1) - -3*1. Let g be (-6)\/y + (-3 - (-15)\/6). Let s be n(g). Solve -3*j - s = l - j, j + 2 = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -151.37?\nAnswer: 302.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 65 = -t. Suppose -6*b = -8*b + 5*z + 19, 0 = -5*b + z + t. Solve -2*x - 2*x = 4*m - 36, 2*m - b*x = 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 z when three letters picked without replacement from {z: 6, d: 5, o: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 24130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -237*r**5*w + r**3*w + r*w - 21*r + 4*w wrt r?\nAnswer: -4740*r**3*w + 6*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -5*y + 526 + 2001, 4*d + y = 10241. Calculate the remainder when d is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 22 + 3. Let g = -48 - -81. Let u = g + m. Solve 4*n + 2*s = -u, 5*n = -3*s + 12 - 49 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1434666802\/8515 - -168487. Let x = m + -19853\/8012615. Is -1 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 134*r**3 + 2*r - r**2 - r**2 - 43*r**3. Let d be u(1). Calculate the greatest common factor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 9:42 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 - 1712 = -54*c + 272*c. Let z(p) = -p**3 - 7*p**2 + 15*p + 27. Calculate z(c).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0043924768 to four dps.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 970.2? (a) -3\/2 (b) 6 (c) -2\/29 (d) -1\/6 (e) -0.1 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -67 + 79. Suppose -13*q + 15*q - a = 0. Suppose q*d = -0*d + 984. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1341 (base 13) to base 5.\nAnswer: -42012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-39)\/(-12))\/(-13))\/((-190)\/(-19000))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -192, -294, -382, -438, -444?\nAnswer: -382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00199146431 to 6 decimal places.\nAnswer: 0.001991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 22 = 4*k, -k = -5*n + 7 + 40. Suppose 3*f = -z + 41, f + 1 - 4 = -3*z. Let w = n - f. Let m(g) = -g**2 - 3*g + 2. Determine m(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**2 - 2*k**3 + 0*k**2)*(2*k**2 + 0*k**2 + 4*k**2) + 1 - 1 + k**5 + (0*k**2 - k**2 - k**2)*(-3*k + 3*k - k**3).\nAnswer: -9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-84) + (-810)\/42?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 419 + 529. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 = 9*c - 187 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 211 divided by 785\nAnswer: 211\/785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182c (base 15) to base 12.\nAnswer: 3029","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38987847 or -38987848?\nAnswer: -38987847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u\/(u**8\/u*u*u*u))*u**(2\/19) assuming u is positive.\nAnswer: u**(192\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**2 - 1. Let j be l(1). Let o = 0.5 - -0.5. Sort j, -0.5, o in descending order.\nAnswer: j, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -9*f**3 - 305*f**2 - 8*f - 4. Let i(s) = -8*s**3 - 305*s**2 - 10*s - 5. Let h(o) = 5*g(o) - 4*i(o). Find the third derivative of h(j) wrt j.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c - 18. Calculate the remainder when 20 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 144 - -63. Find the third derivative of -r**2 + 25*r**5 - 230 + x + 6*r**5 + 2*r**6 wrt r.\nAnswer: 240*r**3 + 1860*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 - 263 + 22 = -3*p. What is the greatest common factor of p and 1410?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1100) + sqrt(11) + sqrt(704)*-2)**2.\nAnswer: 20*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p - 11. Let d(g) = -g - 6. What is 5*d(v) - 2*n(v)?\nAnswer: -v - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/(-2))\/((-4)\/8). Let q be (-1)\/(h\/16) - 2. Which is the third smallest value? (a) 4 (b) q (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1490 + 1502. Solve 15 - 3 = -m*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14.3844 and 0.5?\nAnswer: 14.8844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6378090?\nAnswer: 2, 3, 5, 433, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -15*c. Let v(q) = -3501470*q. Give v(g(p)).\nAnswer: 52522050*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 915*v**2 - 5*v + 46314 wrt v.\nAnswer: 1830*v - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -72\/595 and -29\/62603940?\nAnswer: 1064266980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -v - 3, -3*l = -676*v + 672*v - 33 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 155 = 35. Suppose 0 = -f + 93 - 19. What is the remainder when f is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-553)\/(-711))\/((-91)\/(-18)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -2.562964, 1 in ascending order.\nAnswer: -2.562964, -0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 86, 129, 190, 269?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28498, 57093, 85690, 114289, 142890, 171493?\n\"Answer: i**2 + 28592*i - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 divided by -6201.\nAnswer: -110\/6201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1302, 2601, 3900, 5199, 6498, 7797?\n\"Answer: 1299*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 988601 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 14*r**2 - 17*r - 8. Determine l(-12).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 257.78816 - 55\nAnswer: 202.78816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 32131 (base 6) to base 4\nAnswer: 1010113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + n = -3552, -4*n + 3552 = 4*w - n. What is the greatest common divisor of 24 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 2)\/(10\/(-5)). Suppose 2*o + 0*o = w. Put 1, o, -0.07 in decreasing order.\nAnswer: 1, o, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 190573, 381141, 571709, 762277?\nAnswer: 952845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - m, 5*m + 26 = c + 17. Is -1\/7021 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -4*l - 0*k + 16, -4*k + 22 = 3*l. Suppose -8*p = -6*p - l. Let f = p + 12. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, n: 3, l: 3, y: 3, d: 5}. What is prob of picking 1 n and 1 l?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 74 (b) -4 (c) 1 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4434 (base 6) to base 7\nAnswer: -3001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7223016 divided by -300959?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1889531 to the nearest integer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2274368 and 672.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**7\/42 + f**6\/24 + 11*f**2\/2 - 11*f. Let c(i) be the first derivative of s(i). Factor c(w).\nAnswer: 5*w**3*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 - -14. Suppose -y = -235*r + 225*r. Solve -4*a = o - 3*a - 8, 2*o = r*a - 2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2119645793.\nAnswer: 257, 719, 11471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -275 + 261.1. Let f = 71 - 77.2. Let p = g - f. Round p to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 0, -3, 19.9.\nAnswer: -3, 0, 19.9, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -4 - (0 - -6). Let m(o) = o**2 + 5*o + 2. Let i be m(z). Find the second derivative of i*b - b - 3*b + b**5 wrt b.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 258850 to the nearest integer?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-52)\/24)\/(4\/372). Let c = 201 + i. What is the second smallest value in -22, 3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3031 + 4980. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjdc when four letters picked without replacement from {m: 4, j: 2, c: 3, d: 2, z: 2, y: 1}.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-2))\/((-1)\/16). Let c be 4*(-5)\/(y\/(-6)). Sort -5, -1, c in decreasing order.\nAnswer: -1, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27*-4\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 1725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63720, -127431, -191142, -254853?\nAnswer: -318564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 9. Let t be m(-7). Let z be 34\/30 + t\/(-6). Let a = 82.8 + -83. What is the nearest to 1 in z, a, 1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1328 + -920. Is 39 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 753 - 744. Suppose u - 1006 = -2*z, r*u + 3*z = 10*u - 1031. What are the prime factors of u?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79899, 159805, 239715, 319629, 399547?\nAnswer: 479469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 40070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -2\/7 (c) 6\/11 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105276?\nAnswer: 2, 3, 31, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436649 divided by -23?\nAnswer: -62463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 0*c + 0 - 9\/5*c**2 - 1\/5*c**4 - 2*c**3 = 0.\nAnswer: -9, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -6 - -3) + 1 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1297 + -0.0623. Let o = 0.14 + -0.21. Let x = c + o. What is x rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1729)\/156 + (-1)\/(-3) and 16\/37?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(36)\/(sqrt(30)\/sqrt(5)))\/(sqrt(3) + sqrt(150)\/sqrt(2)).\nAnswer: -1 + sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-9) - 1)\/(5\/15). Let q = 120 + -361\/3. What is the fourth smallest value in 4\/9, q, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**3 - 10230371*x**2 + 5463768*x wrt x?\nAnswer: -12*x - 20460742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u = -18*u - 14. Suppose 3*a = u*a - 12. Suppose a*x + 0*x = 12. Sort 1, x, -1 in decreasing order.\nAnswer: x, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -21, 11*z - 16*z - p = -32 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/4 + 17*i**3\/4 - 273*i**2\/4 + 955*i\/4 - 175.\nAnswer: (i - 5)**2*(i - 1)*(i + 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47356564\/29 or 1632986?\nAnswer: 47356564\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -6e (base 15) to base 16\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3204)\/(-356))\/((-9)\/15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(242)*5 - sqrt(242) - (sqrt(242) + -4 + 1 + sqrt(242)))**2*-4 + 1.\nAnswer: 2112*sqrt(2) + 15633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oxho when four letters picked without replacement from {h: 2, n: 2, g: 5, o: 2, x: 2}.\nAnswer: 1\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1605771*f**2 + 15 - 11 + 1605765*f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*r = 9. Let k = -0.5 + 1. What is the nearest to -1\/2 in -1\/3, r, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f**2 - 7*f - 1. Let q(d) = -14*d**2 + 20*d + 3. Let p(i) = -17*j(i) - 6*q(i). Calculate p(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 2*k**2 + 5*k - 1. Calculate z(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.018?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1851257 (base 10) to base 14.\nAnswer: -362929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 512\/6437 - 1\/157. Let m = l + 117\/82. What is the common denominator of -45\/2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 18*f + 27. Let h(r) = -r - 1. Give -27*h(c) - n(c).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -697454, -1394905, -2092356, -2789807, -3487258, -4184709?\n\"Answer: -697451*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -647 + 662. Let n(a) = a**3 - 15*a**2 + 4*a - 54. Calculate n(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 84.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -4*h + 2*r, 79 = 6*h - 2*h - 3*r. Suppose 6 = -15*c + h*c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*r - 150, 3*t - t - 222 = -4*r. Suppose 3*h = 4*u - 315, -2*u - 3*h + 202 = 31. Calculate the highest common divisor of u and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 1 - 3 - 2. Let j(l) be the third derivative of -l**4\/24 + l**3\/2 + 2*l**2 - 19*l. Calculate 3*j(c) + 2*y(c).\nAnswer: -3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -111444034 (base 5) in base 12?\nAnswer: -20135a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 625.6467 micrograms?\nAnswer: 0.6256467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 8 = -2*l, a - 19 = 4*l - 5. Let q(i) = -i**2 - 8*i + 12. Let b be q(-9). Solve b*z = 5*z + a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, v: 8, b: 3}. Give prob of picking 1 y, 2 v, and 1 b.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k + 143. Let a be h(19). Let j be (12\/a)\/((-40)\/60). Solve -3*u + 1 = -j*q - 4, 8 = 2*u + q for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 16 - 5)*((8*n - n**3 - 8*n)*(-3*n - 1 + 1) + (-n - 3 + 3)*(3*n**3 - n**3 - 3*n**3)) in the form o*n**2 + u*n**4 + p*n + d*n**3 + h and give u.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 1, m: 2, c: 1, q: 2, e: 1}. Give prob of picking 1 e and 1 x.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 0 - 1\/2*m**3 + 1\/6*m**4 + 4*m - 1\/2*m**2. What is v(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 13 = -3*b, 5*v - 2 = -2*b + 6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1521+-170\nAnswer: 1351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -19 equal to 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1475*a + 17 = 1504*a - 3*r, 2*a = 2*r - 58 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641151 is divided by 981.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/4 equal to 826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18 - (-2 - (-14 - 3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 21 = 6, -510 = -2*f - 4*n. Let j = -185 + f. Suppose -5*z + 44 = -j. Does 12 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1189897 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 67.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12078 divided by -6039\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 681063 to the power of 1\/2, to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100) + -3*(sqrt(100) + sqrt(100)*1))\/sqrt(5)*5)\/(-5*sqrt(8)\/sqrt(2) - (sqrt(48) + (sqrt(48) - sqrt(192)))\/sqrt(12)))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1047518789 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1001011100111?\nAnswer: -1001011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1048 in -2\/3, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13233149513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6174*r - 5*i = -6178*r + 274, 0 = -2*r + 4*i + 218 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*w + 573*w + 2*p = 0, 3*w = 4*w - 5*p - 36 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**4\/3 + 8*m**3 - 22*m**2 + 4*m - 16. Let n(x) = 0. Calculate x.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 2*k - 12 - 5, 4 = -k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 3, 6.68, 1.4, 3\/7, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of y**6 - 2667*y**5 - 5436*y**2 wrt y.\nAnswer: 120*y**3 - 160020*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*f + 0*f + 0*f)*(3*f - 6*f + f) + f**2 - 3*f**2 + 0*f**2 + 3*f**2 - 1 + 1 + 40*f**2 + 33*f**2 - 27*f**2)*(-1 - 4 + 3).\nAnswer: -86*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4623602?\nAnswer: 2, 97, 23833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 0. Let s be -16*(-7)\/(-6 + -8) + -5. Is s less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 334 + -332. What is the third smallest value in 0, -5, o, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) 378.9 (c) -5 (d) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**3 - 8*d**2 - 2*d + 5. Let a be h(-9). Suppose 3*c - a + 164 = 0. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + 24\/3 - 0. Let v = 3 + -1. Suppose v*p + 43 = h + z*h, 4*h + p = 37. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*b = -8, -4*b - 10 - 11 = z. Let w be ((-1)\/(-1) - z)\/(-4). What is the closest to w in -1\/3, 4\/7, 0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114\/22*-462*113\/(-4746)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -1)*-1 + (-18)\/(-15).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, 175, -4, 52 in decreasing order.\nAnswer: 175, 52, 6, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5769\/3556 - 11\/127. Is j <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 39. Suppose -2*l = -3*v - 16, -5*l + 3*v - z + 35 = 0. Suppose -5*f = 5*o - 703 - 2037, -2*f + 1092 = -l*o. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 4:39 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.03517 times 0.1351\nAnswer: -0.004751467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -905*i**2 - 820*i**2 + 1733*i**2.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 3*v - 3. Let u be n(4). What is the second biggest value in -4, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54988 is divided by 643?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 8572 = -3*y, 0 = 192*y - 188*y + 5*b - 11419. Does 34 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + j - 4. Let s be r(5). Let m be (3\/s)\/(1\/(-6)). What is the smallest value in m, 3, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*a + 127780 = 135899 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 502202.914 to the nearest 1000.\nAnswer: 502000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r = 2108 + 4836. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 12*r - 16. Let l be j(10). Suppose l*h - 428 = -48. Calculate the highest common factor of 19 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 - 41.9. Let w = 5.4 - 5. Let t = -0.5 + w. What is the closest to t in f, 5, 4\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) - -3*(sqrt(72) + (sqrt(72) - (sqrt(72) - sqrt(72)*4))))\/(sqrt(24)\/sqrt(150)).\nAnswer: 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-9))\/((21\/9)\/(-7))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + -1 - (6 + -15 + -2).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -66 (b) -1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-9))\/((-2)\/18). Let w = 11 - 97\/9. Suppose -5*a + 4*z + 12 = 29, -z = 2*a - 1. What is the nearest to a in 3\/8, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 w, and 1 e when three letters picked without replacement from eeceeeeewwcege.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*q = 42, -5*q + 2 + 13 = 0. Let t be (-8)\/24 + (-424)\/i*1. Let w = 118 + t. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 133 + -5?\nAnswer: 12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1838965035.\nAnswer: 3, 5, 229, 535361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 189?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) 8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 53473 or 53471?\nAnswer: 53473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70884420*v + 51815487.\nAnswer: -70884420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -16955 - 6567. Let c be (b\/19)\/(1\/(-10)). Round c to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -10. Let l(r) = -r + 1. Let j(x) = -2*l(x) - t(x). Let i be j(-3). Find the third derivative of 9*n**i + 7*n**3 - 13*n**3 - 12*n**3 wrt n.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -h - 19, -269*v + 273*v = -2*h + 22. Calculate the lowest common multiple of 180 and v.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 + 9*m**2 - 8*m - 17. Give b(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 372 - 82 = 16*m + 28*m, -4*m = -6*l - 104 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 762*x**2 - 5334*x + 3. Give q(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -332*g**3 - 1244*g + 43*g**5 - 1801*g + 733*g - 124*g**4 + 3196*g**2 - 424*g**3 - 47*g**5 = 0.\nAnswer: -17, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from uuerrzzrrejrejj.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.2 + -28.2. Suppose 0 = -5*u + 2*u - 3. Let c = -3 + u. Sort 1\/4, c, t.\nAnswer: c, t, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**2 + 9*j - 5. Let t(g) = -9*g**2 + 17*g - 11. What is -6*t(s) + 13*y(s)?\nAnswer: 2*s**2 + 15*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*c + c**3 + 72*c + 67*c + 7*c**3.\nAnswer: 8*c**3 - 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 81*n**2 + 12880*n + 56. Calculate a(80).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -42. Let r be ((-1)\/(-3))\/(4\/204). Let m = r - g. Calculate the smallest common multiple of m and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 - a**4 + a**4 + (-9*a**2 - 5*a**2 - 488*a**3 + 507*a**3)*(-2*a + 0*a + a).\nAnswer: -21*a**4 + 14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 377*h - 11053. What is v(-32)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 375392?\nAnswer: 2627744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1983, -15471, -52095, -123423, -241023, -416463, -661311, -987135?\nAnswer: -1405503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -49*n + 893. What is the least common multiple of 133 and j(0)?\nAnswer: 6251","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 6*r + 8*r - 11 = 15*r + 2, 0 = -r - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70103 is divided by 17330?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p - p + 72488*p**2 + 0*p.\nAnswer: 72488*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 187\/90 and 49\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 15*f**2 + 0*f + 0 + 5\/24*f**4 + 3\/2*f**3. Does 6 divide r(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -59*c**3*s - 56*c**3 - 2*s + 4820 wrt c?\nAnswer: -177*c**2*s - 168*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 2*q + 4. Let a be g(-3). What is the third biggest value in a, 4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 + 65*m in the form p*m + u and give p.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/3 - 194*t**3\/3 + 3263*t**2 - 36860*t\/3 + 36100\/3.\nAnswer: (t - 95)**2*(t - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-2)\/(-1)) + 27\/3. Suppose -k = -3*d - 3*x, -3*x = -2*d - x. Which is greater: -1\/109 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + (-9)\/(-4))\/(46\/2024*110). Let -1\/2 - 1\/4*k + 1\/4*k**3 + d*k**2 = 0. What is k?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -241 - -1695\/7. Let a = 955\/6 + -6661\/42. Factor -h*k + 4\/7 + a*k**2.\nAnswer: 4*(k - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 + -37. Let o = 69 - d. Solve -4*a - o = 4, 4*a + 18 = -2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*j**3 - 5 + 2 - 4*j**3.\nAnswer: -234*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + y - 3*y)*(-2*y**3 - 6*y + 4*y + 4*y).\nAnswer: 4*y**4 - 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-1)\/(-37 + -2)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k**(-7\/12)*k*k))*k*k**(-18))**(-46) assuming k is positive.\nAnswer: k**(4301\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 10*m - 20. Calculate y(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30422, -60836, -91224, -121574, -151874, -182112, -212276, -242354?\nAnswer: -272334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80235 * 152.\nAnswer: -12195720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2.61 times -5\nAnswer: 13.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 2*u - 2*u)*(3 + 1 - 1)*(5*u**2 - 4*u**2 - 2*u**2) + (4*u - u - 4*u)*(-4*u**2 + u**2 + 4*u**2).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 8:31 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 2*z**3 + (12*z - z - z)*(-z**2 + 6*z**2 - 3*z**2) + 4*z**3 + 2*z**3 - 5*z**3 + 2*z**3 - 2*z**3 - 2*z**3.\nAnswer: 21*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-16)\/60)\/(48\/264*55\/(-30))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15352, -61459, -138318, -245923, -384268, -553347, -753154, -983683?\n\"Answer: l**3 - 15382*l**2 + 32*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(0*b + 2*b - 3*b)*(-4 - 2 + 1).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 6:17 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/30 and (3\/8)\/(3762\/4484)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4002 divided by -448?\nAnswer: -2001\/224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 2:45 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*s = 4*p + 120, -2*p = -s + 47. Suppose 4*g = -295 + 119. Let n = p - g. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (-3 + 0 + -1*2*(sqrt(343) + -2))*2).\nAnswer: -112*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 535 = 4003. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2574 and 60588.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**5 + 2*i**2 - 2*i**2 + 2*i**5 + 3*i**2 - 3*i**2 + (-1 - i + 1)*(i**4 - i**4 + i**4) + (38*i**5 + 47*i**5 - 70*i**5)*(-2 + 3 - 3).\nAnswer: -33*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -41096*i - 410949. Calculate j(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -72. Let v be 110\/y + (29\/(-9) - -3). Let q(z) = -z**2 + 17*z + 8. Is q(v) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65\/12 - 217\/12. Find the common denominator of f and -71\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114 - 92. Calculate the least common multiple of 64 and u.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of -p**8\/40 - 11*p**7\/350 + 73*p**6\/200 - 57*p**5\/100 + 9*p**4\/40 - 922*p**2 + 1. Solve j(n) = 0.\nAnswer: -3, 0, 3\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462660 (base 10) to base 16.\nAnswer: 70f44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 0.2, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 9:26 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-35)*p*p**(-33) assuming p is positive.\nAnswer: p**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1687349.4 months?\nAnswer: 1406.1245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-32)\/(-7) + (-14 - 470\/(-35)). Solve -i*s = -4*h - 24, 27 = -2*h + 3*s + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-36)*(-330)\/15)\/((-15)\/(-135))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -580768*t**2 + 127383*t - 2?\nAnswer: -1161536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 936746 to the power of 1\/2, to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 192 divided by 13502\nAnswer: 96\/6751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*b - 0*n + 26, -5*b - 5*n - 30 = 0. Let r be 358\/b - 2\/8. What is the remainder when (r\/(-2))\/((-6)\/(-24)) is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 29*i**2 - 4*i + 3. Calculate y(1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -59, -62, -51, -20, 37, 126?\n\"Answer: a**3 + a**2 - 13*a - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t + 5*t + 9 - 40 - 17. What is the remainder when k(14) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66\/719 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 u when three letters picked without replacement from uiciuiucii.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -403 - -1926. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 6 = -15. Suppose -4*p + d = 3*d - 36, p + d - x = 0. Let i = -6 + p. Solve n + 0 = 2*w + 7, i*w + 19 = 4*n for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 25 + 88. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1157b (base 12) to base 2\nAnswer: 101101011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-13) - 1530\/(-390).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 918.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 348, 1256, 3054, 6048?\nAnswer: 10544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1, -5\/82, 4 in descending order.\nAnswer: 4, -5\/82, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32577 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o**3 - 2*o**3 + 6 - o**3 + 0*o + 9*o.\nAnswer: -3*(o - 2)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -51, 27, 1, -5, 31.\nAnswer: -51, -5, -1, 1, 27, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8111228.\nAnswer: 2, 2027807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 11065579 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a week in minutes?\nAnswer: 42336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 22. Let k be b\/((20\/16)\/5). What is the third derivative of -9*z**2 - 2*z**4 + k*z**5 + 5*z**4 - 3*z**4 wrt z?\nAnswer: 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2605, 5292, 7979, 10666, 13353, 16040?\nAnswer: 18727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.092 and -51326.\nAnswer: -51325.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -13?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455953*q - 455977*q + 2 - 2.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -101020 and -454.\nAnswer: 45863080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 7 - 18 + 7*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/270 and 139\/6?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 427, -897, -2235, -3593, -4977, -6393, -7847?\nAnswer: -9345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*w**2 + 261*w**2 + 172*w**2.\nAnswer: 400*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8 + 12\/(-102) + (-824)\/(-68). Sort -2, -3, i, -4, 245 in decreasing order.\nAnswer: 245, i, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 + 0)*(1349*j - 2666*j + 352*j).\nAnswer: -5790*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 27 - (2 + 0 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.200048*0.2\nAnswer: 0.0400096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**3 + 28*b**2 - 22*b - 49. Let i be k(13). Solve 5\/4*w**i + 5\/4*w + 5\/2*w**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/21 - (-1)\/(-30)*-52.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + v - 1052 = 0, 4*z + 0*v - 862 = 6*v. Calculate the remainder when z is divided by 76.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1929 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 542 - 502. Calculate the greatest common factor of 130 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 5:37 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-55)\/12) + ((-112)\/20)\/(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from annahfnnanynyanna.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 21*g**2 - 2*g - 15. Suppose l = 4*l + 4*x + 51, -2*x = -6. Let z be p(l). Calculate the greatest common factor of z and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 94628?\nAnswer: 94629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22 in -0.3, 0, -0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(128) - ((sqrt(128) - ((sqrt(128) + -1)*6 + sqrt(128))) + sqrt(128)))*6 + 1)**2.\nAnswer: -515520*sqrt(2) + 4179241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 6:14 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/(-3) + (-210)\/288 and 149\/36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 375*h**2. Let n(x) = -4769*x - 1. Give n(w(z)).\nAnswer: -1788375*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 d when three letters picked without replacement from {p: 4, t: 1, d: 7, h: 2, q: 4}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**3 - x**2 + 7*x - 7. Is c(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-121 - -84) + (-8 - -2) + -83?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*t**2 + 113 - 5*t + 3*t - 464 - 7*t**2 + 13*t**2 to u*t + l*t**2 + z and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 134*v - 64*v - 42*v + (-3 + 5 + 0)*(-3*v - 3*v + 4*v).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 21*p**2 - 50*p - 79. Let l = 127 - 78. What is the remainder when l is divided by n(-23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -13\/108*s**4 + 0 + 1\/270*s**5 + 0*s - 48*s**2 - 14\/27*s**3. Factor i(h).\nAnswer: 2*(h - 14)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -8.01124.\nAnswer: -4.00562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3 + 6 = 0. Let u(q) = 10*q**3 + 2*q**2 - 2*q + 1. What is u(m)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402 a factor of 47700510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 + 272*t - 1568*t - 539*t + 46*t**2.\nAnswer: 46*t**2 - 1835*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x = 6. Let l(b) = b**2 - 4*b - 4. Let q be l(x). Suppose 5*t + q - 18 = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/1340 - 1880\/134?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/2)*f*f*f**(-1\/7)\/f)**47*(f*f\/f**3*f\/(f\/(f**(2\/11)*f*f)))\/((f*f**(-2)\/f*f*f)\/(f*f**(-3))) assuming f is positive.\nAnswer: f**(9697\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.03 from -887.952094.\nAnswer: -887.982094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (56\/(-8))\/((-56)\/(-16))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from {v: 2, g: 1, w: 2, x: 1, m: 1, a: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 3*m - 3*m)*(-2 - 4 + 4)*(5*m - 2*m + m).\nAnswer: 40*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129286625, 129286624, 129286623?\nAnswer: 129286622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38580*a + a**3 + 410*a**2 + 1904*a**2 - 3641 + 38580*a wrt a?\nAnswer: 3*a**2 + 4628*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 - 15. Let h = i + 34. What is the tens digit of 404\/7 - 14\/h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294993157?\nAnswer: 294993157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 5*t**2 - 6*t - 2. Let k be x(6). Calculate the least common multiple of 6 and 24 + 3 + 14\/k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - 45\/((-855)\/(-38)). Let p(c) be the third derivative of 5\/6*c**4 + 0*c + 0 - 12*c**2 + 0*c**3 + 1\/12*c**l. Factor p(h).\nAnswer: 5*h*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*w - 2*w**2 - 5*w)*(-71*w**2 - 60*w**2 + 152*w**2) - 7*w**4 + 4*w**4 + 5*w**4.\nAnswer: -40*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -35*b**3 + 17*b**2 - 121*b - 356. Calculate z(-3).\nAnswer: 1105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, k: 2, p: 4, f: 2, i: 6}. What is prob of sequence fki?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -10. Let l = 70.8 + -6.5. Let z = l + -64.7. Which is the closest to 1\/5? (a) y (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-25)\/f)**25)**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 3*w = -5 - 10, 5*w + 18 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -866058*t**4 - 470845 with respect to t.\nAnswer: -3464232*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 3:01 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -310\/459 + 4\/459. What is the closest to m in 0.2, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 6, m - 824 = -4*o + 3*m. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36404565 and 30?\nAnswer: 72809130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 times 3741?\nAnswer: 617265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -697875303 divided by -232625101\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-20)\/(73\/((-6278)\/1505)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/9)\/((-2)\/54). Suppose 3 = 2*q - g. What is the remainder when (148\/q)\/((-8)\/(-12)) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 7*w**2 + 3*w + 4. Determine g(4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140124401 (base 5) to base 2.\nAnswer: -10101100111000000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -17. Suppose 5*p + 15 = 0, -4*l + o = -4*p - 10. Factor 9\/2*y**2 - 3\/2*y - l.\nAnswer: 3*(y - 1)*(3*y + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19)*2)**2 + -2 - 6*sqrt(76) - (sqrt(57) - (sqrt(399)*-4)\/sqrt(7))\/sqrt(3).\nAnswer: -17*sqrt(19) + 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 14*b**2 + 3. Let p be h(14). Solve 22 = -5*q + 3*o, -8 - 2 = p*q - 5*o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.69258 (b) 6 (c) 2\/7 (d) -0.4 (e) 2 (f) 4 (g) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -52*l - 186. Let t(i) = 441*i + 1582. Let y(g) = 42*f(g) + 5*t(g). What is the first derivative of y(z) wrt z?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 2685*k + 26936. Determine c(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 5*f + 4. Let g be (-16)\/(3 - -1) + 1. Let n(z) = -6*z - 5. Let y(j) = g*n(j) - 4*d(j). Suppose -3 = o - r - 0*r, 4*o + 3*r + 19 = 0. What is y(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14467 + -3647258\nAnswer: -3632791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0031477 rounded to 4 decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/8 (b) 3\/4 (c) -19010 (d) 2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -120119.1 * -16.\nAnswer: 1921905.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 + aa?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434*c - 903*c + 427*c.\nAnswer: -42*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - 7 - (1 + -8). Suppose 6*s = t*s - 4. Suppose -5*k - a + 137 = 0, 0*k - s*a + 58 = 2*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9020 is divided by 97?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 4*w + 1. Let y be i(7). Suppose -4*f - 3*a - 63 = 0, a - 3*a + y = -4*f. What is the units digit of (-2)\/(-6) - -3*(-766)\/f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*f**3 + 3773*f**2 - 3808*f + 81 = 0. What is f?\nAnswer: 1\/46, 1, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3252 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1619410 - 3?\nAnswer: -1619413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y - y - 3*y)*(0 + 6 - 2) - 7 + 7 - 5*y in the form a*y + g and give a.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**2 - 25*k + 273. Is d(17) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/5)*j)\/(j**(-4\/7)*j))**(-27) assuming j is positive.\nAnswer: j**(-918\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.087 in 4\/9, -3, -2\/11, -125, 1\/4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 3*q + 4. Give x(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 0.9, -1158, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1101010101100 (base 2) to base 9\nAnswer: 10326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1016 - -1324. Calculate the highest common divisor of g and 572.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 + 65. Let z be (-44)\/6*q\/(-6). Calculate the greatest common factor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 4*n**2 + 2*n - 7. Let o be i(5). Let y be (-44)\/(-11) - 3*-1. Calculate the highest common factor of y and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3, 3*w + o = -o + 259. Let g = w + -85. Solve 0 = -4*c + 3*c - g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.1 + 0.1. Let q = -92375 + 92355.9948. Let h = k - q. What is h rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o - 37*o - 3*o - 3*o + 49*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 7*y**2 + 7*y - 6. Let s be q(-8). Suppose -4*o + 18 = -s. Suppose -o*p - 27 = -182. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 257*k - 67284. Determine q(261).\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 9*f - 9. Let v be q(-5). Suppose 57 = -4*x - v. Find the common denominator of 93\/20 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 433162?\nAnswer: 433155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*i = -130, -10 - 385 = -5*l + 5*i. Let y be l\/(-6)*(-12)\/10. Suppose 27 - y = 4*s. Calculate the remainder when 6 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 8*c = -2530. Let u = c - 1824. What is u rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -12*h - 10. Let i(s) = -2*s + 2. Calculate f(a) - 5*i(a).\nAnswer: -2*a - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -50 - -4 - (-1 + -5 + 19 + -25)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-25))\/((-5)\/(-100)). What is the remainder when 1302\/12 - (-12)\/b is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93143 is divided by 1277?\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 177060863 to the nearest integer?\nAnswer: 13306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(288)*2*-5 + sqrt(288))*-1 + 1 + (4*(sqrt(288) + sqrt(288) + 0 + sqrt(288)) + 4)**2.\nAnswer: 1260*sqrt(2) + 41490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0138214 rounded to 4 decimal places?\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47016 - 31836. Does 66 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*j + 126 = 31*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000101000111111000 (base 2) in base 16?\nAnswer: 451f8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -18, -76, -180, -336, -550, -828, -1176?\n\"Answer: -t**3 - 17*t**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11349781, 1\/3, -3, 6 in decreasing order.\nAnswer: 11349781, 6, 1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 5:26 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 88\/543 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4716753 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3 + 6 - 5 + 14*c in the form r*c + t and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v + 1625 = 1605 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 10*k + 32. Let q be s(-6). List the prime factors of -1*6\/q + 22785\/60.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1024 by 4.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 - 552\/60) + 30924\/20 - 7. Calculate the greatest common divisor of d and 12980.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 7:24 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4cb4 - 2?\nAnswer: -4cb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2\/5, -2493, 0.4, -7\/4?\nAnswer: -2493","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -371, -5, -1, -232 in increasing order.\nAnswer: -371, -232, -5, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 12:19 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011928 rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5125363957 to the power of 1\/2, to the nearest integer?\nAnswer: 71592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14\/17 in 1, 9, 1\/231, -4, 6?\nAnswer: 1\/231","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5462*l**2 + 10553*l**2 - 3957*l**2 as z + s*l + g*l**2 and give g.\nAnswer: 1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o. Let w(m) = 6*m**2 + 3*m. Let n(c) = 6*c**2 + 2*c. Let y(h) = 6*n(h) - 4*w(h). Calculate y(a(l)).\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p - 3*q - 12, 2*q = -5*p - 8. Suppose 6*k - 9 = 4*k - 5*y, 2*k - 4*y = p. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 f when three letters picked without replacement from qfhvpgv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + 11171 - 11171.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/1)\/((2\/(-24))\/((-106)\/477))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n - 85067 + 409919 = 7*n. Is 23 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*p = 70. Suppose j + 5*n = p, -2*n = -0*j + 3*j - 16. What is the smallest common multiple of 6 + (-2)\/(-2 - -3) and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3802 to the nearest 100.\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/21 and 23\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 - -98. Let g(v) be the first derivative of -v**3\/3 + 57*v + 2. Is 11 a factor of g(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -66*k + 658. Is p(8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 259374984 to the power of 1\/3, to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 7 = 1838*g - 1837*g, -2*g - 10 = 0 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 583*h = -113*h + 6264 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**2 - 22*m + 41*m**3 + 36*m - 13*m to the form s*m**2 + d*m + u + x*m**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 328*b = 325*b + 2*q + 117, 98*b + 4*q + 130 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4*(-4)\/(-12)*-3. Sort -7, 2, c in increasing order.\nAnswer: -7, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9546.\nAnswer: 2, 3, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 39941459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.517000442 - -0.517. Round y to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -181\/12 + 63\/4. Factor 2\/3*g**3 - 2\/3 + 2\/3*g**2 - o*g.\nAnswer: 2*(g - 1)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 185*m + 925. Let u be j(-5). Solve 4*f - b - 23 = u, -3*b = -3*f - 5*b + 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19549546?\nAnswer: 2, 73, 293, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*k + 3. Let n = 0.578 + -0.178. Sort k, n, 4.\nAnswer: k, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.302l in millilitres?\nAnswer: 94302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 10.12. Let k = -0.1 + 0.08. Let g = k - a. Which is smaller: 0.3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t - 3*t + 4 + 6*t. Suppose 0 = -2*b - 3 - 1. What is g(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 65 = -5*q - 3*c, -q + 2*c = 22. Let p = 18 + q. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1768771?\nAnswer: 1768771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 5*z + 2. Let t be ((15 - 7) + -7)*-5. Give p(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4049 less than -998?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18624 and 2?\nAnswer: 18624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 40977?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 + -77. Let k be (-3 + 3 - 86)*w. Round k to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*r + 0 + (-2 + 3 - 3)*(2*r - 2*r + 2*r) - r + 0 + 0)*(-6*r**2 - 11*r**2 - r**3 + 15*r**2).\nAnswer: 7*r**4 + 14*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -135\/91 + 361\/182. Put c, 163, -0.3 in decreasing order.\nAnswer: 163, c, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 293, 1185, 2663, 4727, 7377, 10613?\n\"Answer: 293*t**2 + 13*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 10*t**2 - 15*t - 32. Give l(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -7*o**2\/2 - 4*o - 2. Differentiate p(b) wrt b.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 + 0*g**2 - 1 + 6*g**2 + 0*g**2 - 2*g**2 as n*g**2 + p*g + c + o*g**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 546 + 21 = 0. Calculate the highest common divisor of k and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 839*r + 129996 = -4813*r for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227*r - 15 = -223*r - 5*x + 12, -3*r - 3*x = 27 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 9*a + 45. What is t(-22)?\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 5 - 5 + 3255494987*n**3 - 3255494976*n**3.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z + 1. Let v(b) = -4*b - 112. Let q be v(-27). Let d(k) = 3*k**2 - 4. Let w(c) = 4*c**2 - 5. Let m(f) = q*w(f) + 5*d(f). Give s(m(y)).\nAnswer: -3*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u - 25*u = -20*u - 398336. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 - (-35 + (-46 - -17)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, y: 6, l: 4, b: 5}. Give prob of picking 1 y and 3 l.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -23817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*x + 13, -4*x = l - x - 8. Suppose -l*v = -17*v + 1254. List the prime factors of v.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-27)\/(-4))\/(-2 + 166\/80)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2 = 5*j, 3*s + 4*j = -0*s + 47. Let r be 6\/8*((12992\/120)\/(-28) + 16). Which is smaller: r or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 93*z - 203. Let v be a(6). What is the highest common factor of v and 1349?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-48)\/45)\/(-2))\/(14\/21)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51 + -2. Let c(p) = -p + 15 + r + 5. Is c(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 5*m + 10, 4*s + m - 4*m = 27. Suppose 1 = 4*j - s. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3819\/(-1026))\/(2\/6*(-26)\/(-52)*2).\nAnswer: -67\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28216, 3, 2, -1 in descending order.\nAnswer: 3, 2, -1, -28216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.13 + -0.33. Let v = -0.7 + -0.1. Let b = -1 - v. Is b greater than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73.8199064 + 22466.8198136. Let n = x + -22529.73971813. Let q = -10.9 + n. What is q rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -67 + 252. Let t = s - 25. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*q + 3*r, 3*q + 3 = q - 3*r. Suppose -7*c + q*c + 36 = 0. Find the second derivative of c*t + 3*t**3 - 14*t - 2*t**3 wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 50*k. Let y(o) = 3*o + 12. Let z be y(6). Let r(b) = -z + 30 - 17*b. Let h(m) = -17*r(m) - 6*u(m). Find the second derivative of h(x) wrt x.\nAnswer: 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/7, -0.3, 2\/9, -0.074, 0.24?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(11) + 0 - sqrt(11) - (sqrt(11) + -2 + (1 + sqrt(11))**2).\nAnswer: -12 - 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 12, o: 2, e: 2, r: 3, f: 1}. Give prob of sequence eey.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2 - 4*y - 4. Let g(t) = 30*t**2 + 25*t + 25. Let b(s) = -25*d(s) - 4*g(s). Let p(r) = 17*r**2. What is p(b(n))?\nAnswer: 425*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 16 + 10)*(-4*n + 3*n + 3*n)*(-1 + 2 + 2 + 0 - 3 + 1 + (-7 + 3 + 3)*(2 - 2 - 2) + (-3 + 4 + 0)*(2 + 1 - 4)).\nAnswer: -80*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48883*o + 8312*o + 4019*o.\nAnswer: -36552*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 5*g**2 - 24*g + 4. Determine t(5).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188660410?\nAnswer: 2, 5, 37, 443, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1, -8, -21, -40, -65, -96?\n\"Answer: -3*y**2 + 2*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 11*j**7\/35 + j**5\/15 + 5*j**2. Find the third derivative of r(g) wrt g.\nAnswer: 1584*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 183 = 47. Let s = -50 - -16. Is s bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1931 + 2012. What is the remainder when 138 is divided by a?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3068 and 364.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93144 and 7544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5276 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hddddfhydffhh. What is prob of sequence hdfy?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291 + 84 = -65*u - 1832 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6432 is divided by 3185.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10034 - -10030. What is the closest to m in -15, 4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*f - 7, 0*f + 2*f - 2*i - 4 = 0. Which is the third biggest value? (a) f (b) 0.4 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017300 rounded to the nearest ten thousand?\nAnswer: 1020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234852 and 84?\nAnswer: 1643964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 74186402?\nAnswer: 37093201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -86979.832927 - 0?\nAnswer: -86979.832927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-190)\/(-6)*(-5 - (7 + -3)). Find the common denominator of 19\/(k\/10) + (-14)\/(-120) and 57\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -622 - 381 - 3240*m**3 + 2054 + 2147 with respect to m.\nAnswer: -9720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -27, -39, -51, -63, -75?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1714373637?\nAnswer: 3, 3137, 182167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 9\/2308, -0.3, 5, -18, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o - 5910. Let p(a) = 2*a**2. Give p(k(j)).\nAnswer: 72*j**2 - 141840*j + 69856200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m - 29. Let t(x) = -7*x + 79. Let u(r) = 11*f(r) + 4*t(r). Let d = -39 - -22. Let b(c) = -14*c + 8. Give d*u(o) - 6*b(o).\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 3, -2.53, 0.3?\nAnswer: -2.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u + 210 = 0. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20939, -20978, -21039, -21116, -21203, -21294, -21383?\n\"Answer: b**3 - 17*b**2 + 5*b - 20928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3*v**2 - 1)*(v - v + v**2) + (10*v - 17*v - 30*v)*(v**3 - 2*v**3 + 2*v**3) as u*v**3 + j*v**4 + o*v + m*v**2 + d and give j.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4543 or 4108?\nAnswer: 4108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*c**3 - 52*c*v - v + 45 wrt c.\nAnswer: 9*c**2 - 52*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/4 + 28\/8. Let m(h) = -h**3 + 2*h**2 - 2*h - 4. Let n(u) = u**3 - 3*u**2 + 2*u + 2. Let k(j) = -2*m(j) - 3*n(j). Give k(b).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89205204?\nAnswer: 2, 3, 11, 675797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + 0. Let y(s) be the first derivative of -s**2 + 25*s - 11. Let r be y(12). Which is the closest to 0.1? (a) r (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, m: 1, o: 2, n: 2, a: 3, v: 3}. Give prob of sequence oav.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 93658.96 and -0.6564?\nAnswer: 93659.6164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 6:10 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 63098 (b) -0.3 (c) 3.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101101001000 (base 2) to base 9.\nAnswer: 10520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - l**2 - l + l - 4 to the form v*l**2 + m*l + p and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -305*x. Let n(z) = -444*z**2 - 4. Give s(n(o)).\nAnswer: 135420*o**2 + 1220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -75, -46, -9, 36, 89, 150?\n\"Answer: 4*c**2 + 17*c - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37288 + -37316. Let s(i) = i**2 + 32*i + 91. What is s(v)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/3 + 7864*a\/3 + 1802048.\nAnswer: 2*(a + 888)*(a + 3044)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1228792 and 14275?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, r: 2}. What is prob of sequence brrb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by -7893305.\nAnswer: -52\/7893305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(15)\/sqrt(3)*-5 - (sqrt(5) - -1*sqrt(45)))*-6 - 3*(-4*(sqrt(5) - (sqrt(5) + -1*sqrt(5) + sqrt(5))) + 3).\nAnswer: -12*sqrt(5) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 148 + -162. Let x(j) = j**2 + 6*j + 69. What are the prime factors of x(c)?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 4*c + 6. Suppose 77 = -9*o + 20*o. Let p(m) = 2*m + 3. Calculate o*p(b) - 3*q(b).\nAnswer: 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - 151122453627.\nAnswer: -151122453662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3368 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0026233 rounded to four dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 88418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115679.\nAnswer: 115679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 15*t**2 - 15*t - 11. Let i be l(-14). Suppose v = -1 + i. Solve 4*r - 22 = -2*h, -4*h + 3 = -5*r - v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (4 - 3 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1349 or -1350?\nAnswer: -1350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -20*c + 13. Let z(k) = 1246986*k. Give z(f(p)).\nAnswer: -24939720*p + 16210818","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4021861 and 835.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*c + 777 = 0, 91*g - 86*g - c - 3871 = 0. Calculate the remainder when g is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -2460.\nAnswer: 7380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 90 - 140. Let a = b - -37. Let g be (-32)\/208 + 84\/(-130). Sort -0.2, a, -4, g in decreasing order.\nAnswer: -0.2, g, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/5434 and -149\/206544.\nAnswer: 43167696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 - 20*o + 4555. What is s(45)?\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-152*k**5 + 37*k**5 - 260*k**5)*(5 - 2 - 2 + (0 - 1 + 3)*(1 + 3 - 3)).\nAnswer: -1125*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Is (-591039)\/(-12) + -8 + (-31)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**12))\/g**(-2))\/((g**(-2)\/g)\/(g\/(g*g*g**(-1\/3)*g))) assuming g is positive.\nAnswer: g**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 + 18277060*u\/7 - 5222016.\nAnswer: -2*(u - 9138528)*(u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 i when four letters picked without replacement from hiihhvhviivvvhvhvhvi.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1538354*b**4 - 53*b**2 - 4660 wrt b?\nAnswer: 36920496*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 24 (b) 0.04 (c) 21 (d) 9\/4 (e) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 40140 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3243199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2040 and 5581588.\nAnswer: 2846609880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/79 in 2\/7, 3, -6\/11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mf when two letters picked without replacement from {o: 1, l: 2, m: 2, f: 1, d: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 - 11*o + 2. Let u be (3 - 6\/(-4))\/((-9)\/(-12)). What is the hundreds digit of r(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3.65, 42326, 1?\nAnswer: 3.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1\/8, -1768121, -3, 1 in increasing order.\nAnswer: -1768121, -3, -0.4, 1\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*d - 73*d = 26208 for d.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12a39 (base 11) in base 15?\nAnswer: 5770","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 15*t + 24 to the form q + x*t and give x.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, y: 9}. What is prob of sequence yyyw?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - l = -0*l + 5, l = 4*q - 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.81021l in millilitres?\nAnswer: 66810.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*h + 26. Let r = -238 - -304. Suppose -3*k = r - 105. Calculate the greatest common divisor of k and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1410 and 240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1179149.095 to the nearest 1000.\nAnswer: 1179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8629688?\nAnswer: 2, 1078711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 3:46 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*t + 30*t - 40212. List the prime factors of t.\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 - -81. Let p(t) = -23*t**3 + t - 1. Calculate p(w).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**8\/6720 - h**7\/180 - h**5\/60 - 16*h**4 - 6*h. Let l(y) be the third derivative of z(y). Give l(-14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -315 - -327. Let p be (-9)\/(-24)*m\/54. Which is bigger: p or -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g. Let o(p) = -15*p**2 + 4*p + 4. Let n(k) = -121*k**2 + 33*k + 33. Suppose 0 = -8*x + 4*x + 132. Let a(m) = x*o(m) - 4*n(m). What is a(r(w))?\nAnswer: -44*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) 8 (c) -2\/3 (d) 0.02 (e) 1 (f) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**2. Let l(h) = -2375*h. What is v(l(x))?\nAnswer: 22562500*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + 3*n + 4*n)*(1 - 1 + 2*n**2)*(-4*n + 2*n + 0*n) as g*n**4 + b + s*n**2 + q*n**3 + x*n and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-695)\/1390)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/6 - 2359*u**2\/6 + 92935*u\/6 - 135275\/2.\nAnswer: (u - 2319)*(u - 35)*(u - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n - 300 = 0. Let w = -461 + 487. What is the remainder when n is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 279 - 596. Let t = -310 - q. Solve -29 = 5*a - 4*s, a - 2*s + 0 + t = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*x + 5*q + 49938, 2*x - 11258 - 5416 = -3*q. Is 24 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one quarters of a meter in centimeters?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14084361?\nAnswer: 3, 41, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1183?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 104*q - 588. Let z be l(6). Let x(t) be the third derivative of 0*t + z - 5\/2*t**3 - 3\/4*t**4 - 1\/20*t**5 + 19*t**2. Factor x(w).\nAnswer: -3*(w + 1)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8 - 5*l + 6*l + 0*l. Give c(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/10*2 + 16240\/50. Suppose -10*n - m = -15*n. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244 * 25423\nAnswer: 6203212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*q - 1736, 0*q = -3*q. Calculate the highest common factor of m and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -500956 (base 11) to base 15\nAnswer: -10de05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 7 + 6*g - 3*g**2 in the form d + o*g**2 + w*g and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -54655*u**2. Let s(o) = o**2. What is s(m(f))?\nAnswer: 2987169025*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 202936819?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 2:43 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1203922*u + 793095596?\nAnswer: 1203922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2011\/2*3\/(-3). Let a = -976 - f. Let l = 338\/11 - 1791\/88. Find the common denominator of a and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 13 + 1 = 2*p, 5*w - 5*p = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 170*c - 871. Give u(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4878 and 664?\nAnswer: 323.8992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1000, -1418, -1836?\n\"Answer: -418*v - 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6179768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2103 + -5?\nAnswer: 2054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6375429*q**3*s - 3*q**2*s - 48*q*s - 7426*s wrt q.\nAnswer: 38252574*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.62269 - 0.8?\nAnswer: -58.42269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o - 270 = 129 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -331264, -331266, -331268, -331270, -331272?\n\"Answer: -2*o - 331262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 200582 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: -20003021122 (base 4) to base 10\nAnswer: -2110042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 12164*k**3 - 6*k**2 + 22*k + 72. Let z be h(-6). Round z to the nearest 10000.\nAnswer: -2630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7963, 7973, 8007, 8077, 8195, 8373?\n\"Answer: 2*l**3 - 4*l + 7965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (192887 + 989*x - 192887)*(54*x**2 - 2 - x**4 - 54*x**2).\nAnswer: -989*x**5 - 1978*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 302260 and 1524866.\nAnswer: 1936579820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 620 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 1\/1310 (b) 5\/2 (c) 1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -141306 - -1.344.\nAnswer: -141304.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(66)\/sqrt(486))**2.\nAnswer: 92\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-105)\/(-105))\/(1\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*m = 119*m - 32. List the prime factors of 1201 - (m + -9 - (-1 - 0)).\nAnswer: 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/7*b**5 + 102\/7*b**2 + 69\/7*b + 72\/7*b**3 + 18\/7 + 24\/7*b**4 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i - 5. Let l be k(-5). Suppose -2*o + 8 = l, 5*m - 4*o + 4 = 2*m. Solve w + 5 = -0, 10 = -5*h - m*w for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -904*t**5\/5 - t**2 - 1643*t - 1162. Differentiate f(l) with respect to l.\nAnswer: -3616*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -316, 2, 2605 in increasing order.\nAnswer: -316, 2, 2605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3319, -3341, -3369, -3397, -3419, -3429, -3421, -3389?\n\"Answer: a**3 - 9*a**2 - 2*a - 3309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20, -6, -57\/692?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34157?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*c + c**2 + 0*c)*(1 - 4 - 1) + 5*c - 5*c + c**2)*(6 - 2 - 3)*(-40*c - 22*c - 105*c) to the form h*c**2 + z + g*c**3 + t*c and give g.\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.31, -1, 193?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -328 (base 10) in base 12?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l + 641456 + l**3 - 641512 - 2*l**3. What is b(0)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 10.476341.\nAnswer: 3.1429023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180122 and 93123074.\nAnswer: 93123074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 13. Let z(a) = -5686222*a. Calculate z(r(k)).\nAnswer: -5686222*k + 73920886","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 63. Let h = -0.27473 + -0.02527. Suppose 0 = 4*u - 0*u + 32. What is the closest to h in y, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 23. Calculate the remainder when 5 is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142395?\nAnswer: 3, 5, 11, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 5\/2*k**2 + 4\/3*k**3 - 1\/20*k**5 - 3*k - 63 + 2\/3*k**4. Determine c(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 8*d - 86. Let m be q(11). Which is the smallest value? (a) -2 (b) m (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -512 - -512.32. Let u be (-6)\/(-1) + (-9 - -5). What is the third smallest value in 4, u, r, -4\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1882.1 - -1882. Let l be ((-28)\/(-105))\/(4\/6). Which is the nearest to 1\/15? (a) -1\/5 (b) l (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrv when four letters picked without replacement from {e: 3, v: 6, r: 6}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/5 of a century?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4 = -2*x, -3*x = -5*j - 2 + 9 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/34506 and 107\/26838.\nAnswer: 241542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-6)*(-24)\/18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((312\/28)\/13)\/(20\/(-35)). What is the fourth smallest value in v, -3, 1\/3, -0.4, -1504?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 + 603\/(-2 - -5) is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (-1*sqrt(125) - sqrt(125)))*-4 - (-2 + 1 + sqrt(125) + (2 + sqrt(125) + sqrt(125) + 1 - sqrt(125)) + sqrt(125)))**2.\nAnswer: -700*sqrt(5) + 3321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**3 - w + 88*w**2 + w - 2*w**3.\nAnswer: w**3 + 88*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -t**5\/20 + t**4\/6 - 13*t**3\/6 + 9*t**2\/2 + 155*t. What is the hundreds digit of h(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 16 = -3*s + 2*c, -14 = -4*s + c. Solve s*v - d = -6 + 15, 0 = -5*v + 4*d + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -8*p + 18819 + 13653. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(280)\/((sqrt(60) - sqrt(120)\/sqrt(2))\/sqrt(12) + sqrt(5)))\/(3*(sqrt(72) - -1*sqrt(72)))*-1)**2*-4.\nAnswer: -175\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1584673040?\nAnswer: 2, 5, 491, 40343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(32) - sqrt(512)) + sqrt(8))\/(sqrt(16)\/sqrt(4)*-5))**2 - ((1*sqrt(256) + sqrt(256))\/sqrt(8)*5)**2.\nAnswer: -3198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 - 515*f**2 + 2229 - 2229.\nAnswer: -8*f**3 - 515*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m - 2. Suppose 27 = x + 8*x. Let n(o) = 8*o - 8*o - 3 - 4*o + 2. Determine x*v(p) - 4*n(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, -2, -6 in decreasing order.\nAnswer: 60, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 1. Let f(l) be the second derivative of -l**3\/2 + 2*l**2 + 30*l. Let z be f(2). What is the closest to 0.1 in -15, r, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 20 = 5*j - 60, 5*j = 3*p + 30 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 123440344 (base 6) to base 13\nAnswer: 66781c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1994213?\nAnswer: 13, 131, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70545524 to the nearest integer?\nAnswer: 8399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w - 2. Let q = -8 + 10. Let x be p(q). Suppose -c - c + x = 0. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 340528 in 0.3, -3, -102, -3\/8, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52962 and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 k, and 2 i when four letters picked without replacement from {a: 3, i: 4, k: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/7, 2\/13, -1\/6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 346751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 139990534 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*a**3*g**2 - 1378*a**3 - 65*a**2*g**2 + 11*a**2 wrt g?\nAnswer: -24*a**3*g - 130*a**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3745937\/41128 - -4781\/53. Let c = m + -1\/388. Find the common denominator of 2\/68*71 + -1 and c.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 323, 1109, 2625, 5111, 8807?\nAnswer: 13953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 1652*t**3 + 6*t**2 - 38. Let x(d) = d**2 - 6. Determine m(p) - 6*x(p).\nAnswer: 1652*p**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 14\/(-7) - -1. Let c(d) = -16*d - 1. List the prime factors of c(g).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11335.\nAnswer: 5, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -2*o + 8. Let p be n(5). What is the common denominator of 1\/p + (-132)\/(-16) and -3\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -17. Is n\/(-7) + 5356\/28 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 71 (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 39. What is the greatest common factor of 3 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.008, 1.4, -3?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**24))\/t**10*(t\/(t*t\/(t\/(t*t**4*t)))*t)\/(t\/t**(3\/11)) assuming t is positive.\nAnswer: t**(91\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -7 + (-3 - 2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 2. Let d be g(2). Suppose 2*c = 10*c - 656. Is d\/((-1)\/c*4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*j - j + 2*j)*(-1 + 4 + 2) - 116 + 51*j + 116 + 4 - 4 - 2*j + (1 - 5 + 2)*(2*j - 3*j + 2*j))*(0 + j**2 + 0) as q*j**3 + r + p*j**2 + s*j and give q.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do -244961 and 10 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.9611 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-3))\/((-11984)\/(-2568)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 880307 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6ddd + 8f?\nAnswer: -6d4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-4) + (1 - -2). Let x = 37 + -25. Solve p = -r + 4*r - x, -2*d + 14 = r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g - 4 - 5 - 3*g. Let o be m(-6). Let z(a) = a - 7. Let s be z(10). Calculate the highest common factor of o and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - k - 3*k)*(-2 + 2*k + 2)*(-2*k - 2*k**2 + 2*k) + (7 - 7 - 43*k**4)*(80 - 33 - 31).\nAnswer: -664*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uumn when four letters picked without replacement from nuumummhtt.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3324*a**3 + 833*a**3 + 866*a**3 + 700*a**3 + 830*a**3.\nAnswer: -95*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*q**2 + 13*q**2 - 35*q + 35*q + 61*q**2.\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*n + 16 = -92 - 92. Solve 4*c - n = z, 0 = 2*z + c - 924 + 919 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*k**4 + 47 - 47 + (-k**2 + k**2 - 2*k**2)*(0*k**2 + 3*k**2 - k**2) as n*k**4 + z*k**2 + y*k**3 + j + h*k and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47846 + 716*d + 47846 - 840*d**2 wrt d.\nAnswer: -1680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8160114 greater than 8160109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 446690 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1060 and 26924.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -95.1 - -44.4. Let p = 9.3 - u. Let c = p - 60. What is the nearest to c in 1, 0.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, f: 2}. What is prob of sequence ffm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2050 + -2049.94083. Let o = r + -0.061877. What is o rounded to 4 dps?\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0309 + -0.1309. Suppose -3*z = 3*t - 5*t - 122, -2*z + 3*t + 88 = 0. Let d = z - 40. Put 35, j, d in decreasing order.\nAnswer: 35, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -6*x + 15. Let n(s) = -s**2 + s + 12. Let u be n(0). Suppose 4*q - 3*m - m = u, -5*q + 2*m = -18. Solve -1 = -x*v + q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -6*n**3 - 10*n**2 - 9*n + 172. Let r(g) = -3*g**3 - 6*g**2 - 6*g + 86. Give -3*j(d) + 5*r(d).\nAnswer: 3*d**3 - 3*d - 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u + 24 = -9*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 2:54 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*g**3 + 61*g**3 + 37*g**2 - 10*g**2 - 24*g - 32*g**3.\nAnswer: -3*g*(g - 8)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*y - 0*y - 28, 5*y = f + 2. Suppose -f*i + 9874 - 3154 = 0. Let z = i - 533. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 140 = -k + 2*g, g = -4. Let c(i) = -2*i**3 - 13*i**2 + 2*i - 2. What is the remainder when k is divided by c(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 51*n - 59. What is w(27)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3965 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 3 (b) -1\/2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -13*u + 32. Solve 2*s - 5 = -5*m, -3*m - 18 = -5*m - u*s for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4512248909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -168 < -1332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, -20, 4, -13, 5 in decreasing order.\nAnswer: 5, 4, 3, -11, -13, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 288 + 78*s - 1\/2*s**3 + 2*s**2 = 0.\nAnswer: -6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36493063.\nAnswer: 37, 131, 7529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-102)\/(-85) - (-43)\/(-40). Sort 0.9, -1, s in descending order.\nAnswer: 0.9, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84617607 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -834483, -6675843, -22530973, -53406759, -104310087, -180247843, -286226913, -427254183?\n\"Answer: -834481*j**3 + j**2 + 4*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239*u - 136 - 260 + 139.\nAnswer: -239*u - 257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**2 + 232*u + 448 = 0. Calculate u.\nAnswer: -56, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 149689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-31)\/62)*6\/(-25).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 12*c - 33. List the prime factors of l(7).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2699 + -2699.1. Let b be 115 + (-1*2)\/4. Let r = 112 - b. What is the closest to i in r, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842400 is divided by 116.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.4 + -10.4. What is the closest to -0.4 in -1\/2, -3, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(414 - 414 + 8*w)*(3 - 1 + 0)*(1 - 3 + 0).\nAnswer: -96*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2. Let a(k) = 2220248*k**2. What is a(x(n))?\nAnswer: 8880992*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -5*k - 21, 0 = 78*h - 83*h - 3*k - 20 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30.6 + -26.6. Let l be 4\/(-6) + (-16)\/(-15). Which is the second smallest value? (a) -0.03 (b) l (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + 2*c + 116. Calculate t(-7).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/(-9)*(-6561)\/26973*74\/(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.928 rounded to one decimal place?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 107270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**2 + 91552*i - 4389888 = 0.\nAnswer: 48, 45728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 98 + -71. What is the units digit of (276\/(-9))\/((-114)\/n + 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 - 7*o + 49*o - 88 - 89 + 125 + 111 in the form u*o**2 + m + v*o and give v.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j - 2*j + 2*j)*(34*j - 34*j - 26*j) as s + q*j**2 + t*j and give q.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 14 = -4*o, o - 5*o + 3*g + 9 = 0. Let r be o\/(3 + (-36)\/8). Which is the biggest value? (a) -1 (b) -2\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 8:45 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-6)\/40 - (-8)\/20). Let q be (-5 - (v - -1))*3. What is the common denominator of 1 + q\/4 - (-119)\/(-24) and 71\/33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54112 and 1154953?\nAnswer: 1691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.10392 - -0.29608. What is the fourth biggest value in -931\/2, q, -3, -5?\nAnswer: -931\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -24. Let k = 22 + s. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 2 - (-4 + 1). Suppose j + 120 = p*j. Calculate the remainder when ((-10)\/(150\/(-45)))\/(10\/390) is divided by j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2\/18067 + 1933229\/542010. Let u = -12173 + 255550\/21. Calculate the common denominator of g and u.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -54 (b) -10 (c) -35 (d) -74\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4*a. Let u(x) = 9*x. Let j(v) = -29*v + 277. Let y be j(10). Calculate y*p(q) - 6*u(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 52*m**2 - 20*m - 64. Calculate the least common multiple of 40 and w(-52).\nAnswer: 4880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -794 + 794. What is the nearest to -0.1 in p, 1\/3, -86, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 1:53 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = -g + 3*g. Let a = -136 - -177. Calculate the remainder when g is divided by a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -0.2, -2\/11, -4, 0, 1 in descending order.\nAnswer: 1, 0, -2\/11, -0.2, -1.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/sqrt(4)*3 - 6*(sqrt(60)*1 + sqrt(60)))\/(sqrt(972) - (sqrt(972) - (sqrt(972) - (sqrt(972) - -2*sqrt(972)))*5)))**2.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1139063 by 1.\nAnswer: -1139063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144453 by 48151.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 10*f**3 + 2*f**2 - 1. Suppose 3*h = 3*r + 9, -3*h + 7*r - 2*r = -13. List the prime factors of x(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d**12))*d)\/d)**(6\/17)\/(d**(-3\/14)\/(d\/(d\/((d*d\/(d\/(d\/(d\/(d\/(d**(1\/4)*d)))))*d)\/d)))) assuming d is positive.\nAnswer: d**(2643\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14008 = 94*j - 73*j + 70*j + 115*j for j.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 54 = 2*y, 2*y + 14 = 4*c - 30. Let j = y + 74. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86429 divided by 6?\nAnswer: 86429\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 40 + -35. Solve -3*c - 5*v - 20 = -0*v, c = b*v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3898 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -102 and -3976.\nAnswer: 405552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 112?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 6 - 18 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9}. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h + 64. Let t be w(-14). Is 789*(1\/(-3) + 8\/t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(50)*-4)\/(sqrt(360) - (sqrt(360) - (5*sqrt(360) - sqrt(360)) - sqrt(360))).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -2*c**3 + c**2\/2 - 8*c. Let t be j(1). Let k(u) = -5*u + 17. Let n be k(t). Calculate the highest common factor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 474 + 9*n**2 - 474. Let h(i) be the third derivative of i**4\/12 + 2*i**2. Calculate h(r(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000184476485 to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5366?\nAnswer: 2, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -42\/3413 and -51\/8.\nAnswer: 27304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1003 - 1017. Which is smaller: b or 0.07?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11971 or -945756\/79?\nAnswer: -11971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2482763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from ayzzczjzyazjcn.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -69391 divided by 3?\nAnswer: -69391\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 3*y**4\/2 + 49893*y**3\/2 + 137530089*y**2 + 247048938414*y - 23639241884076 = 0?\nAnswer: -5574, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 78.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/4 + -2)*-2. Let a(z) = 1 - 18*z - 9 - 3*z**2 + 27*z + 2*z**2. Let g be a(j). Calculate the greatest common factor of g and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000061 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*h = -22, 2*h = 3 + 7. Suppose -c = -t - 1. List the prime factors of (-5)\/t*(-16 + -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22230\/475)\/((-666)\/1110)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1736, 3463, 5234, 7043, 8884?\n\"Answer: -b**3 + 28*b**2 + 1650*b + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i be 20368\/6650 - (-22)\/275. Is 2 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w + 8 = 17*w - 2*p, -17*w + p + 4 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1508 + -1509. Is 2\/2767 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 8 = -5*m, -98 + 70 = 4*m + 4*z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 2*i + 24, -2*s + 102*i = 99*i + 14 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*4\/24*(-27)\/(-12)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -6. Suppose 3*f - 24 = -u*w - 0*w, -25 = -f + 4*w. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.5, 0.4, 4.5, 3, 5\/57, 0.13?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 163, -1\/4, -7?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1524900 to the nearest ten thousand.\nAnswer: 1520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20321202320 + -11?\nAnswer: 20321202303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 47 + (5 + (-10 - -7) - 4). What is the highest common factor of d and 645?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 386\/(-14) + 0 - (0 + 1 + (-15356)\/9772)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6115945 is divided by 3338?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.003 and -36.\nAnswer: 0.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 85*y + 19. Let g(c) = -85*c - 15. Determine 5*f(j) + 6*g(j).\nAnswer: -85*j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -942, -931, -918, -903, -886, -867?\nAnswer: -846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3436 + -36.6564. Let c = 9 - 12. Is c less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vsaaaaassssv. Give prob of picking 4 s.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/2 (b) -2\/25 (c) -5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 4*t + 1 - t**3 + 0*t**3 + 1 - 7*t**2 + 7. Let j be h(-5). Solve 0 = -f - 4*l + j, 2*f + 2*f + 2 = 2*l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -m + 4*m - 194, -2*r - 2*m + 384 = 0. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3698689 by 5.\nAnswer: 3698689\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20103 + -23?\nAnswer: -20132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 195246637 a multiple of 2105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -13. Let n be ((-10)\/120*(-3)\/2)\/(5\/200). Solve l*o - n*o = 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1036 and 30636.\nAnswer: 214452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y + 43. Calculate c(-18).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 196 - 193. Let a(y) be the third derivative of -1\/330*y**5 - 2*y**2 + 0 + 0*y + 1\/33*y**x + 0*y**4. Factor a(v).\nAnswer: -2*(v - 1)*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 84501601?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*l - 958*l = -71500 for l.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40\/(-6))\/((-2175)\/(-10440)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1287547 divided by -6?\nAnswer: -1287547\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1059 + 1763. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -15 + (29 - (1 - -14)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from uuudbbu.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -6\/5 (b) 0.4 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 401084\/9 + -44558. Let h = -1 + -3. What is the common denominator of d and 79\/h + (-1)\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -20119117680?\nAnswer: -20119117684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2 + (3 - 17 - 2)*(-2 + 4 - 1))*(0*j**4 + 4*j**4 - 3*j**4).\nAnswer: -19*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 20 = 2*s, 3*o + 2*s - 18 = -46. What is the units digit of 418 + -3*(-12)\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 416*l + 79 = 1008*l - 1105 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*k + 5764 = 5*k, -3*k = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**2 - v - 25. Determine b(7).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1083 and 24097111.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**2 + 174102160*r + 174102165 = 0.\nAnswer: -1, 34820433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from {m: 2, u: 7, x: 4, w: 5}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 870438004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 400 and 11075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 5*g**2 - 40*g - 525 = 0.\nAnswer: -7, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66242175.\nAnswer: 3, 5, 883229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3789 is divided by 1867?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1202 - -10131?\nAnswer: 11333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*u + 146*u - 13495 - 16460 = -4527 for u.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/49, -0.4, 435 in descending order.\nAnswer: 435, 1\/49, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/65 or 0.1939074?\nAnswer: 0.1939074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20753 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 3*w + k + 263, 2*k = -3*w - 40. Sort 0, -4, 1, w in decreasing order.\nAnswer: 1, 0, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*w**2 - 63*w**2 + 40*w**2 + (-31*w - 107 + 107)*(5*w - 5*w - 2*w)*(1 - 1 - 2) as a*w + n*w**2 + y and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2. Let f(j) = -12925*j + 52800. Let w(m) = -2*m - 32. Let l(u) = -f(u) - 1650*w(u). Give t(l(c)).\nAnswer: 263250625*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-6))\/(2\/8). Let v = 3 + 0. Let q = 1.26 - 0.76. Which is the smallest value? (a) v (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555688?\nAnswer: 2, 7, 9923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.7804 - 243.\nAnswer: -260.7804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0673458 months to centuries.\nAnswer: 0.0000561215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20361 + -20351. Let z(x) = 65*x - 5. Let l be z(6). Suppose 53 = -4*g + 3*j + l, 0 = g - 2*j - 88. What is the greatest common factor of c and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9382, -18440, -27508, -36586?\nAnswer: -45674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/76880 and 63\/128.\nAnswer: 615040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222921034.\nAnswer: 2, 7, 17, 19, 49297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -220*n**2 + 0*n**3 + 2*n**3 + 56*n - 35*n**2 + 178*n + 19*n**2.\nAnswer: 2*n*(n - 117)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -38757.7629.\nAnswer: 11627.32887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*165\/910 - (-128)\/(-224)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9249 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -138138.93 to the nearest 1000.\nAnswer: -138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 + 40. Solve a*h = 5*h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-16)*1 + 84\/(-864)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 2 - (-1572)\/28 - (20\/(-7) - -2).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x + 4*x - 6*x + (-4 + 2 + 0)*(0*x + x - 3*x) - 2*x - x + 6*x + (-x - x + 0*x)*(-3 + 1 + 3) - x + 0*x + 2*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 220222201002021 (base 3) to base 16\nAnswer: caa3fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358 - 358 + 139498019*z + 144*z**2 - 23*z**2 - 139498019*z.\nAnswer: 121*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1601, -3161, -4725, -6293, -7865?\n\"Answer: -2*m**2 - 1554*m - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145510, -145512, -145514, -145516, -145518, -145520?\nAnswer: -145522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from egnwneejewexeene. What is prob of sequence ne?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**2*b))\/b)**(-1\/72)\/(b**3\/b**(-1)) assuming b is positive.\nAnswer: b**(-71\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 11*c**2\/3 - 9988481*c + 5448262\/3 = 0.\nAnswer: 2\/11, 2724131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 331 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -15. Let h = 12 + l. Let i be (h\/6)\/(7\/18). Which is smaller: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 147839773*j**4 + 41867030 wrt j?\nAnswer: 591359092*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 334*d*s**2 + 2518*d + 2*s**2 + 3*s wrt s?\nAnswer: 668*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 5 + 6 - (4 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9\/3 + -1)*-1. Let x be (-1 - -2) + h\/4. Factor 0*f + 0 - x*f**4 + f**3 - 1\/2*f**2.\nAnswer: -f**2*(f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 3*k + 2. Let b(q) = -q**2 - 7*q - 4. Let j(x) = -3*b(x) - 7*i(x). Find the first derivative of j(s) wrt s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-3)*(-5 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*j - 15*j - 10*j - 319253*j**3 - 17*j.\nAnswer: -319253*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -18. Let d(w) = -11*w - 87. Let c(s) = 4*s + 31. Let a(m) = 17*c(m) + 6*d(m). Determine a(o).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64786 is divided by 1572?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v*v**(-1\/25)\/v))\/((v\/((v**(2\/31)*v)\/v))\/v))\/(v\/(v*v\/v**(-7\/3))*v**(10\/3)) assuming v is positive.\nAnswer: v**(81\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17\/167 - 416\/835. Put f, -34, -1 in ascending order.\nAnswer: -34, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 g when three letters picked without replacement from rofsfiiosfgfgsrr.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**3 - 71*o - 4*o**3 + 2*o**5 - 21*o**2 + o**3 wrt o.\nAnswer: 40*o**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.027, 1\/3, 11839?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/19 and 4136.3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 - 24*s**2 + 2*s + 4. Suppose 0 = -5*k - 15, 0*f + 2*k + 102 = 4*f. What is the remainder when 201 is divided by w(f)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.8392738 micrometers?\nAnswer: 0.00008392738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 79630825.1 to the nearest 100000.\nAnswer: 79600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z = 4*a + 13*z, 3*a - 8 = -z for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1887 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 22 = -4. What is the remainder when m is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3*y**2. Let i(p) = -361*p**2. Calculate i(z(h)).\nAnswer: -3249*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 23*j**2 - 24*j**2 + j - 2*j - 20*j**2. Let w be g(-1). Let l = w + 41. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 2*s + 24 = -4*s, n + 5*s - 8 = 0. Let t = n + -7. Let a(p) = 18*p**3 + p. Let z be a(t). What is the greatest common divisor of 209 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*9*319\/(-594)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 4*c + 4*c)*(4 + 0 - 2 + (4 + 0 - 6)*(0 - 2 + 0))*(317 + 76*c**4 - 317).\nAnswer: -456*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 6. Let p(n) = 5412*n + 144. What is 24*l(k) + p(k)?\nAnswer: 5436*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6)\/(2\/12). What is the second derivative of y + y**5 + 2*y**5 - i*y**5 wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6293*u**2 - 6336*u**2 + 19004*u**2 - 6164*u**2.\nAnswer: 211*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2006045.\nAnswer: 5, 401209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.0347+0.3470025\nAnswer: 0.3817025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*r = -337, -x + 4*r = -33 - 96. What is the third derivative of -11*n**2 + x*n**4 - 13*n**5 - 109*n**4 wrt n?\nAnswer: -780*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -734473872.75056218 + 734473930. Let d = f + 53.75056281. Let h = d + -111. Round h to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1615751503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 4040.\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/12)\/((70\/(-225))\/14)*760\/(-950)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -3*n + 495, -2*z - 127*n = -122*n - 306. Calculate the remainder when z is divided by 142.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -3 (b) 0.06 (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 48 + 12 = 5*f, -2*f = v - 27. Suppose -5*g + 49 = 2*d, 0*d + f = 2*g + 3*d. Calculate the highest common divisor of g and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38074264 divided by -6.\nAnswer: 19037132\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -0.038?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3. Let z(f) = -7*f - 2. Let y = -609 - -612. Let o(p) = -2*p - 1. Let d(i) = y*o(i) - z(i). What is -9*d(v) + 3*h(v)?\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 190*k - 64. What is g(-63)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence appp when four letters picked without replacement from ppapppaapapapp?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l - 35*l = -297. Calculate the highest common divisor of l and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584.44 less than -4502?\nAnswer: -5086.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 12232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from ccccscccccscscc?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 110201222 (base 3) to base 7\nAnswer: 36035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-0.2119299.\nAnswer: -1.4835093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 4*n**2 - 9*n + 1. Determine i(7).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(1300))**2.\nAnswer: -5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4106 a factor of 43322406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 4b852?\nAnswer: 4b856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5547*b**4 + 14*b**5 + 14*b**5 - 25*b**5 - 3087*b**2 - b**5 + 1208*b**2 wrt b.\nAnswer: 120*b**2 + 133128*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4966*t**4 + 1861?\nAnswer: 19864*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97429, 97431, 97433, 97435, 97437?\nAnswer: 97439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50505\/9620*(-32)\/(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 6:55 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5. Suppose q = -4*f + 5*f - 10. Let y = f + 9. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*8*18\/144.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.09 and -420448.\nAnswer: -420448.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6548 + 4460 = -12*h. Calculate the smallest common multiple of 174 and h.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 7*s**2 + s - 3*s**2. Suppose 0 = 3*x + x. Let i(n) = 0 + n**2 + n**2 + x. Give a(i(o)).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 622.21 - 20.01. Round t to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -24. Find the third derivative of h**5 - h**p - 6*h**5 - h**2 wrt h.\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11531 by 3.\nAnswer: 11531\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 48.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + d. Let s(v) = -5*v**2 + 22*v - 19. Let u(k) = -3*b(k) + s(k). Let c be u(8). Solve 5*z + 3 = -c*a + 2*a, 4*z + 4*a = 4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pllkkkd. What is prob of picking 1 d, 1 l, and 1 p?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x + 6. Let k be (-5)\/(-10)*x - -59. Find the second derivative of k*c**4 + 20*c - 50*c**4 - 8*c wrt c.\nAnswer: 144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.56492 rounded to zero dps?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.54 - 0.7. Round t to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -11219, -11218, -11217, -11216, -11215, -11214?\n\"Answer: n - 11220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46560033 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.7 + 12. What is the nearest to -0.1 in 2\/9, u, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -5*l**3 + 3*l**2 + 0 + 10 - 12*l - 4. Let z(q) = q**3 - q**2 + q. Let c(h) = -v(h) - 6*z(h). Let m be c(4). Let g(n) = 6*n + 1. Determine g(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppmpmppmm. What is prob of sequence mmm?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3 + 7. Let x = n - 0. Suppose -3*j = -3*f + 15, 4*j - x*f = -13 + 3. Solve -2*c + j*c = 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 780, 777, 774, 771, 768?\n\"Answer: -3*r + 783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 - 3335*n**2 - 3320*n + 6660.\nAnswer: -5*(n - 1)*(n + 2)*(n + 666)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7437 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1632 and 2240?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/4698 and 67\/870.\nAnswer: 23490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 9 + (-2 - (-14 + 10 + -6 + 2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 857367929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.5, 0.1, -39?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 52785\/14 + -3776. Find the common denominator of g and 30\/(-4)*26\/(-42).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3581917 to the power of 1\/2, to the nearest integer?\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -133048*p*y + 14*y + 38601 wrt p?\nAnswer: -133048*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/1660 and 19\/332.\nAnswer: 1660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.993244 to 0 dps.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and 23?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/18 - (-4)\/(-1).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1131 (base 5) to base 9\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -1249.\nAnswer: 12490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 37.\nAnswer: 14\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((8800\/(-33))\/20*(-30)\/25)\/(-2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*w = -5*g - 5, -5*g + 4*w + 5 = 0. Suppose -3*b + 47 = i - 0*i, 20 = g*b. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 0*p + p - 13*p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + g. Let r(k) = 2 - 5*k - 2*k**2 + 9*k**2 + 0*k**2. Let m(d) = 6*f(d) + r(d). Let o be (-2)\/(-8) + 3\/(-12). Calculate m(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34735999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at most 2524?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 6:32 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m - 2*m - 3*m + m.\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/86 - -5861\/516. What is the common denominator of 13\/12 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101002202 (base 3) in base 2?\nAnswer: 110001110110100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-4199)\/(-442) + (-68)\/(-8)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from tttjtttjtttt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 - 48 = 15*n + 198 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81566 is divided by 1548?\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**2 + 49152060*r + 120796250112180 = 0?\nAnswer: -4915206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3672214 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 6:35 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*i - 586 = 51*i. Suppose -7*m + 407 = -i. What is the greatest common factor of 75 and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 - -21. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-10)*5\/(-3)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4794 (base 15) to base 14.\nAnswer: -578a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 - 75*z**2 - 113*z - 152. Let b be x(39). Suppose 0 = -5*v + c + 7, v + 3*c = 2*v + 7. Solve -v*a + 0 = b*w - 12, 13 = w - 2*a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r - 32. Let d be m(8). Let v be 1 + 1 - ((-44)\/d - 5). Which is the closest to 3? (a) 0 (b) 20 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xxzzxxxxxxzxzzxx.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 110 from -1146.\nAnswer: -1256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2\/4 + 880149*q\/2 - 774662262201\/4 = 0.\nAnswer: 880149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 446773130 to the power of 1\/3, to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88 * -7.\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -51*r**2 - 15. Let k(s) = -7*s**2 - 2. Let v(b) = 15*k(b) - 2*w(b). Let x(y) = 590*y**2. What is x(v(f))?\nAnswer: 5310*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6342282 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 82*a**2. Let h(c) = -c**2. Calculate 3*h(m) + i(m).\nAnswer: 79*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 12*a**2 + 11*a + 2. Let n = -101 + 90. What is o(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -34*k + 36*k - 19530, 5*k - 2*q = 48826. What are the prime factors of k?\nAnswer: 2, 19, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307151293 to the power of 1\/3, to the nearest integer?\nAnswer: 1093","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -6) + 1 - (-5 - (0 + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - z**2 + 3*z**2 - 4*z)*(-9577 - 8997 + 48718 + 25860) to r*z**2 + i + q*z and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1097675 divided by 47725?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x + 45. Let y be g(-14). Put 1, y, -4 in increasing order.\nAnswer: -4, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (0 - 0) - (9 + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/2803249 and -8\/7969?\nAnswer: 36442237","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*g + 4 = -4*y + 59*g, -31 = -5*y - 4*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -561*q**2 + q - 3. Give g(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2486*z**2 - 5*z + 4. Let v be a(-4). Suppose -3*k - v = 2*k. Let x be k\/(-3)*(2 + 148). Round x to the nearest 10000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4885.2 and -138.2.\nAnswer: -675134.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 2*j = -86, 2*j - 268 = 5*k - 325 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 23 - 35)*(1 + 1 - 4)*(6*b + 5*b - 6*b) + (-4 - 2 + 5)*(-2*b + 6*b - 2*b))*(-3*b**3 + 3*b**3 - b**3).\nAnswer: -528*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -54796*d**2 + 27396*d**2 + 3 + 27436*d**2 + 4*d**3 + 2*d as o*d**3 + u*d**2 + x*d + i and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 20*f + 77. Let m be o(15). Suppose r + 2*a - m = 0, -5*r + 22 = 2*a - 4*a. Solve 5*w = w - r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-91) - (-460)\/1610. Which is the nearest to p? (a) -2\/39 (b) 0 (c) -0.2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-3\/13)*y)\/y**21)\/(y**0*y*y\/(y\/(y**(-5)\/y))*y) assuming y is positive.\nAnswer: y**(-198\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*v**5*x - 7*v**4*x + 164*v**2 + 5*v*x wrt v?\nAnswer: 2100*v**2*x - 168*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l. Let p = -715 + 717. Let q(o) = 104*o**2 - 310*o**2 + 104*o**p + 126*o**2. Determine y(q(d)).\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 89334662 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 smaller than 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 5*l**2 + 4*l - 4. Let z(f) = -f - 3. Let y be z(2). Let m be (2 + y)\/((-6)\/(-40)). Let d be (-5)\/((m\/(-4))\/(-5)). What is b(d)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12302548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 725.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 m, and 1 g when three letters picked without replacement from {k: 2, a: 2, v: 1, m: 4, g: 2, u: 4}.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-280)\/(-9240))\/(4\/(-22))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((-5*(1 + sqrt(175)) + (sqrt(175) - (sqrt(175)*-2 + sqrt(175) + -4) - sqrt(175)))*4)**2)*5.\nAnswer: 3200*sqrt(7) + 224085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1500 by 26.\nAnswer: 750\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, 212, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 789 divide 10827447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(180) + 2*3*sqrt(180) + sqrt(180))\/(sqrt(10) + (sqrt(250) - -3*sqrt(250))).\nAnswer: 8*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4+-125559471617\nAnswer: -125559471621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -17*n - 206. Let f(o) = -49*o - 608. Let v(q) = -6*f(q) + 17*i(q). Calculate v(-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of l**6\/1620 + l**5\/54 + 25*l**4\/108 - 29*l**3 - 80*l. Let a(f) be the second derivative of t(f). Factor a(z).\nAnswer: 2*(z + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 175 + -174.97. Let a = -5.02 - -0.02. What is the closest to -2\/5 in a, 2\/7, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.04, 5005, -2\/9, 3, 9, 0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.815692164 rounded to 2 dps?\nAnswer: -1.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1560421 (base 8) to base 5\nAnswer: -103411313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6746286413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 9 = 6*q. Let u be ((-36)\/(-5))\/(q\/10). What is the highest common divisor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 318672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (17 + -17)*3\/((-9)\/(-3)). Let d(i) = n + 4 + 2 + 8 + i - 6. What is d(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccycccccyccccccc. Give prob of sequence yc.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 187410016 = -3*f, -f + 37*z - 62469992 = 35*z. Round f to the nearest 1000000.\nAnswer: -62000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.93 - 0.43. What is the closest to 2\/7 in 0.3, 2\/7, r?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -505\/3 + 167. Let h = 4 - 3.7. Let j = -0.044 - 0.356. What is the second biggest value in h, i, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 2814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**2 - 3*k + 7. Calculate w(5).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*3*sqrt(6)\/sqrt(2)*-1 + (3*-2*sqrt(108) - sqrt(108)) + -4)**2.\nAnswer: 456*sqrt(3) + 9763","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1884, 7581, 17060, 30321, 47364, 68189, 92796?\n\"Answer: 1891*x**2 + 24*x - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 4:23 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**3 + 9*w**2 - 7*w + 6. Let s(j) = -7*j**3 + 18*j**2 - 15*j + 12. Let x(t) = 5*m(t) - 3*s(t). Calculate x(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16982387?\nAnswer: 16982387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 8*p**2 - 9*p - 7. Let y be s(10). Suppose -d = -3 - y. Suppose -f = -3*f + d. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26855.659 + 9320551\nAnswer: 9293695.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -1\/3 (b) -1 (c) 2\/7 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*t**4 + 16*t**4 - t**4 + (0*t**2 + t**2 + 2*t**2)*(0*t**2 + t**2 + 0*t**2).\nAnswer: 10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-2)*x*x\/(x*x*x**(-1)*x*x)*(x*x**(-2))\/(x\/x**8) assuming x is positive.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 216398 times -0.064?\nAnswer: -13849.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -4005*r**4\/4 - 3911*r**3\/3 + 2827. Find the third derivative of h(x) wrt x.\nAnswer: -24030","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, 160, 463, 898, 1471?\nAnswer: 2188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -1191 + 1191. Solve -z - 4 = -0*z, o = 2*m + 3*z + 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 c, and 1 d when three letters picked without replacement from qaccqdccdocdqkkqddok?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 8:43 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 1152640?\nAnswer: -1152643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 1594 = -g + 1584, -5*m - 30 = -3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 82447000 to the nearest one hundred thousand.\nAnswer: 82400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2538179 or -2538174?\nAnswer: -2538174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 25075682 and 16.\nAnswer: 200605456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z + 7836. Let s(j) = -j. Give r(s(f)).\nAnswer: -3*f + 7836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 4:01 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 z when two letters picked without replacement from tzzktkzzzztz.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a487 (base 12) to base 16.\nAnswer: -13927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 145?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**3 + 4*n. Let u(m) = m**2 - 2*m - 1. Let f be u(2). Let q(s) = s. Give f*j(w) + 2*q(w).\nAnswer: -2*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 1\/(-4)*(-8 + 64\/(-8)). Let m(r) be the first derivative of -22\/3*r**q - 1 - 28*r + r**2. Find the first derivative of m(s) wrt s.\nAnswer: -44*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 387010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2489 and 12027.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-8)*14942*(-3)\/(-9). Let t = o - -15332. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/17000*6450\/(-774)?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(68\/20655*1818 - 6).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 = 0, -2*f - 2*q + 7 = -5. Put f, -4, -5 in increasing order.\nAnswer: -5, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -556063\/2 = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 1.2, -41, -298, 1?\nAnswer: -298","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51860, -103745, -155630?\nAnswer: -207515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 1:04 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 823f70 (base 16) in base 10?\nAnswer: 8535920","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.024 and -0.04?\nAnswer: -0.00096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**2 - 2716930*a + 369085431245 = 0. Calculate a.\nAnswer: 271693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9875)\/660*-5 - (-2 + -2). Let c = 965\/11 - h. Calculate the common denominator of c and 85\/21.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 805709462 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7700 = 18*y + 157*y. Let z(r) = -2*r**2 - 11*r - 6. Let s be z(-8). Let t be (-4)\/(-2 - s\/22). Is t <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 - 19.2. Let p = 17.0112 + o. Round p to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1408 - -1407.8. Which is the closest to 2? (a) r (b) 1 (c) 8\/15 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -9. Let b be (n\/2)\/((-9)\/90). Solve 2*k = -t + 9, -b*k + 19 = t + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -75 - -84 - ((149 - 278) + (0 - -13))?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 0.18383007.\nAnswer: -0.0055149021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-18))\/((-3)\/(-4))*-9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + 2*h - 2*h)*(0*h**2 + 3*h**2 - 4*h**2) - 2*h**2 + 3 - 22 - 4*h - 2*h**3 + 13 to the form i*h**2 + d + f*h + v*h**3 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2 + sqrt(13)*-2 + sqrt(52) + (sqrt(104)\/sqrt(2) - sqrt(52)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4 - (-396)\/72.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 24790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 22? (a) 0.4 (b) 1.7 (c) 0 (d) -1\/98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 3*s + 3*o = -15, s + 4*o = -11. Let a = 41 + s. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5\/11 - 1362*r**4\/11 - 208350*r**3\/11 + 8000882*r**2\/11 - 73045056*r\/11 + 65253888\/11 = 0. What is r?\nAnswer: -357, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4)*(-457)\/3. Let r be (1412\/18)\/(4\/(-3)). Let u = w - r. What is the common denominator of u and -11\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Suppose -3*y = 3*o - 12, k*y + o - 9 = -2*o. Suppose -y*w - 129 = -6*w + 3*f, 2*w - 86 = -2*f. What are the prime factors of w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (111\/148 + -21)*(128 - 1)*-36.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 755, 746, 737, 728, 719?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 14 = 12. Let y be (6 + -21)\/(-1 + t). Suppose m - y = 7. Calculate the lowest common multiple of 4 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.035*0.089\nAnswer: 0.003115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 - 17*a**2 + 9*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.63 times 1.31?\nAnswer: -2.1353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 8*j - 93. Let b be g(12). Let f(l) be the first derivative of b*l + 1\/9*l**3 + 12 - l**2. Find q, given that f(q) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -12. Suppose 1 = -b*m + 17. Suppose 5*h + 24 = m*l + 4*h, -3*l = 5*h + 5. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7190.\nAnswer: 2, 5, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n = -8*n - 182. Put 2, n, 4 in descending order.\nAnswer: n, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n*n*n\/n**(-13)*n*n*n*n*(n\/n**(-19))\/n*n)**(1\/55) assuming n is positive.\nAnswer: n**(43\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43 - 55134?\nAnswer: -55051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 2:19 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -54276 divided by 6?\nAnswer: -9046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375 = 9*n - 4*n. Suppose u = 5*s - 27, 0*u = 4*u + 8. Suppose 0*l + s*l - n = 0. Calculate the remainder when 29 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 4*a**2 - 4*a - 3. Let v be i(-2). Let r be ((-88)\/3)\/(-2)*v. What are the prime factors of (-2)\/4*r\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 148. Let j(g) = 7*g - 22*g + 9*g + 2*g**2 + 6*g. What is x(j(b))?\nAnswer: -4*b**4 + 148","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2964 divided by 741?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82260 and 3105.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 250496?\nAnswer: 2755456","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -21669.\nAnswer: -21668.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**4\/12 + 275*r**3\/3 - 621*r**2 - 741*r. What is the first derivative of n(x) wrt x?\nAnswer: 2*x + 550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0*(-2)\/8)\/((-22)\/(-11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.79 + 0.71. Let p = -67.5 + b. Let s = p + 55.76. Round s to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 267 - 430. Let k(q) = 96*q + 4. Let x be k(3). Let t = u + x. Calculate the remainder when t is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gbggbggggbb. What is prob of sequence bbgg?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.5758 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118 + 67 + 57)*(-6 + 6 + 2*n)*(2*n**2 + 2*n**2 - 5*n**2 + (3 + 0 - 2)*(2*n**2 - 1 + 1) - 3*n**2 + 0*n**2 + 6*n**2).\nAnswer: 48*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 258647162360.\nAnswer: -258647162359.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -53*s**3 - 2*s**2 + 2*s - 3. Let k(q) = 108*q**3 + 5*q**2 - 5*q + 7. Determine -5*a(p) - 2*k(p).\nAnswer: 49*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uouqqooomuvsuos. Give prob of sequence qs.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1596 and 5091924.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 5*x**4\/12 - 3*x**3\/2 - 7*x. What is the second derivative of p(m) wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 11:11 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**2*v**6 + 795*j**2 - 19512*j*v**5 + 6*v**2 wrt v.\nAnswer: 240*j**2*v**3 - 1170720*j*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 515, 521, 541, 581, 647, 745, 881, 1061?\nAnswer: 1291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*g + 139*g - 2*z + 60 = 277*g, 4*z - 132 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-1)\/(-18) - 33\/792.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6853 and 539?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*p - 14*p + 9*p.\nAnswer: 16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -20, -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10260\/(-17100)*(2\/(1*12\/(-7)))\/1?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 562, 2981, 7012, 12655?\n\"Answer: 806*h**2 + h - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 + -46. Let h(a) = -11*a - 2. Let d(l) = -52*l + 7. Let r(c) = -d(c) + 5*h(c). What are the prime factors of r(n)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/(-6) - 115\/(-345). Solve 0 = -3*p + 5*l + w - 23, 5*p + 3*l = -9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0.1. Let m = -1204.2 - -1203.8. Put t, m, 0.6 in ascending order.\nAnswer: m, t, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.778688*-8.19.\nAnswer: -6.37745472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/(-25))\/(((-6)\/(-5))\/(-6)). Let d be 1\/4 + (-10)\/8. Let c be (42\/(-9))\/(d + p\/(-12)). Let v(i) = 2*i. Give v(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 9, f: 2}. What is prob of sequence pff?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -r + 14, 12506*x + 16 = 12504*x + 5*r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*15*(8\/(-12))\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 16 (b) -0.1 (c) 3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9228, -8667, -8096, -7515, -6924, -6323?\n\"Answer: 5*o**2 + 546*o - 9779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4 + 13834590*j**3 + 21266190494748*j**2 + 10896583347456358632*j - 43586673649758765024 = 0. Calculate j.\nAnswer: -1537178, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 786 = -6*b. Is 2*(-2 - b\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 - 3. Suppose -4*y = 89*v - 90*v + 16, 3*v = -4*y + 16. Let b(a) = a**3 - 2. Give v*b(q) - 5*s(q).\nAnswer: -2*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3319*-67.\nAnswer: -222373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 1\/1827, -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 86\/9, 0.2 in descending order.\nAnswer: 86\/9, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n - 8*n - 6*n + n to w + t*n and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -11*u**4\/24 + 2*u**2 - 10. Let x(f) = -23*f + 21*f - 1 + 1. Let l(a) = -2*a. Let i(d) = -4*l(d) + 5*x(d). What is g(i(m))?\nAnswer: 22*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 + 4*u - 6. Let w(l) = 16*l**2 + 22*l - 33. Let t(g) = -2*w(g) + 11*y(g). Let x(n) be the first derivative of -109*n**3\/3 + 2. Give x(t(s)).\nAnswer: -109*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175) - (sqrt(175) + (sqrt(175) - (sqrt(175) + -1)) + 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 26*a**2 + 7*a + 2. Let c be p(-2). Let q = c + 97. Calculate the greatest common divisor of 21 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(10\/(-4) - -3). Suppose -4*b + u*b + 32 = 2*z, -3 = -b. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b (base 13) to base 2.\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -238753166 divided by -5003\nAnswer: 47722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + 17. What is the remainder when 57 is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 + 3*(-25)\/(-15) + 10. Solve -14 = i*r + 16 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1\/10 (c) -0.542 (d) 0.03979\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-10 - 5) + -21 + 75 + -10?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0 - 0) + 0 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 1:40 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 = 2*s, -6 = 3*s - 0. Solve -2*c + 5*v = -3, 0*c - c = -5*v + m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**4\/4 + 11*s**3\/4 + 481*s**2\/4 + 1249*s\/4 - 435 = 0.\nAnswer: -15, -4, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4724265 and 455?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.2 (b) 1860 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 30936130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 388 + -388.2. Let v = -703\/248 - -84\/31. Which is the biggest value? (a) v (b) -0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593036501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + (6 - (-21 + 3)) + -4.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*sqrt(1331).\nAnswer: -33*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 7:31 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -7. Let i = -30 + 29.6. Which is the nearest to m? (a) 4 (b) i (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myrf when four letters picked without replacement from {y: 2, r: 7, z: 2, f: 2, m: 7}?\nAnswer: 49\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10837481, -10837513, -10837535, -10837541, -10837525, -10837481, -10837403?\n\"Answer: i**3 - i**2 - 36*i - 10837445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 6*u**2 + 2*u - 7. Let r be q(6). Let d be r\/(3 + -4)*-1. What is the second derivative of 20*a + a**3 - a**3 - 9*a**4 - d*a wrt a?\nAnswer: -108*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/60 + (-22)\/88?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 47 in 0.24, -0.1, -1, -5?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q - 18. Let u be x(9). Let h = u - 11. Put 5, 14, h in decreasing order.\nAnswer: 14, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71634 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -2*d + 34. What is the units digit of (6\/(-2))\/((-12)\/d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.04 (b) 2\/25 (c) 10 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -9. List the prime factors of 87\/6 - (-1)\/b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*o = 462085, 4*m + 21*o - 369662 = 26*o. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q - 16 - 23. Solve 5*a + 3*w - 22 = 0, -3*a + 15 - q = 3*w for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1876751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r**2 + 2 + 2*r - 4*r**2 + 3 + 8*r**2. Let a be i(0). Suppose -7*l = -a*l. Which is smaller: l or 2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 33192, 132123, 297008, 527847, 824640, 1187387, 1616088?\n\"Answer: 32977*a**2 + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 107273 (base 8) in base 11?\nAnswer: 254a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c - 28. Let n = -33 + 40. Let z be f(n). Let k be (-4 + 4)\/(1\/1). What is the closest to k in z, 5, 12?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/2 - 1\/(-2). Let u = 3 + i. Let l be 1\/2 + (-14)\/(-4). Solve 2*s = -3*x - 0*s - u, 0 = -l*x - 2*s - 10 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*j + 9 - 2*j**2 - 11*j**3 - 19*j - 6 to h*j + y + c*j**2 + w*j**3 and give w.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - y**5)*(5 + 3 - 5) + (49 + 31 + 43)*(-4*y + 3*y + 2*y)*(2*y**2 - 2*y**2 + y**3)*(2*y - 6*y + y).\nAnswer: -372*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/18 and 107\/112.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/11))\/(n*n\/(n**9*n*n*n)*n))**(35\/4)*(n\/(n\/(n**7\/n))*n**3)**(-1\/39) assuming n is positive.\nAnswer: n**(12252\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -700006*j**3 - j**2 - 2*j - 6. Let b(z) = 700005*z**3 + z**2 + 2*z + 5. Let k(y) = 6*b(y) + 5*q(y). Let s be k(-2). Round s to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18.7 - 15.2. Let n = v + -3.500271. What is n rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -45376?\nAnswer: 45374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, s: 1, r: 1, q: 1, c: 1}. What is prob of sequence mr?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -y - 76, -8644*m = -8641*m + y + 56 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - h - 3. Determine v(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21514 - 14?\nAnswer: -21532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 + 57 = 6*g. Suppose -39 = 11*x - g*x. Calculate the remainder when 23 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - v - 6 + 11, -4*g + 31 = -5*v. Suppose k + 9 = g*h, -5*k - 1 = 2*h - 0. What is the third smallest value in -0.08, 4\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + 5)**2*-2 + (sqrt(475) - (sqrt(475) + 1*(-3*sqrt(475))**2)).\nAnswer: -8125 - 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 60, 47, 44, 57, 92, 155, 252, 389?\n\"Answer: n**3 - n**2 - 17*n + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -33247, 2, 0.2, 452 in increasing order.\nAnswer: -33247, 0.2, 2, 452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7810 and 3630?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*c + 464 = 0, 0*h + 5*c = -5*h + 580. Suppose -7*f = -5*f - h. Is 29 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z + 19. Let w be y(-6). What is the second biggest value in -8, 1\/2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31154837.\nAnswer: 7, 635813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.6 - -0.6. Let t = 680\/21 + -98\/3. What is the smallest value in -5, p, t, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1723 - 310 + 603 = 63*w. Let l(n) = -n**3 + 35*n**2 - 97*n + 44. What is l(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 10:31 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 e, and 1 g when three letters picked without replacement from {k: 3, y: 1, g: 3, f: 6, e: 1}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30645 or 29925?\nAnswer: 29925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57014 + -7355?\nAnswer: 47437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + 0*v + 4*v)*(-1 + 1 + 2)*(-4*v**3 - 4*v**3 + 4*v**3) + 4*v**4 - 3*v**4 - 2*v**4 in the form o*v**3 + w*v**2 + n + z*v**4 + t*v and give z.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -541.87261 + 541.52. Let w = 0.356 + o. What is w rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -404333303?\nAnswer: 404333301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 287 = -4*q, -28 = -4*q + 8*q. Solve -53*u + 50 - x = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of 5*k**4\/4 - k**3\/3 + k**2\/2 + 2*k. Is 4 a factor of r(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 0) + (-1 - -2). Let n(i) = -10*i - 6. Suppose -2*a = -2*x - 6, 29 = -3*x - a - a. Let j(p) = 10*p + 5. Let f(k) = x*j(k) - 6*n(k). Calculate f(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549573 is divided by 449?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**2 + 11*b + 11. Let s be p(-10). Suppose 3 - 9 = -3*c. Calculate the greatest common divisor of c and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**4\/5 + 234003*s**3\/5 + 80527227*s**2\/5 + 6952863933*s\/5 + 6872570712\/5 = 0. What is s?\nAnswer: -171, -1, 78344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8405206 is divided by 2616?\nAnswer: 2614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 9:22 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2106, 2110, 2114?\nAnswer: 2118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/179 or -374?\nAnswer: -374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 d when four letters picked without replacement from ssddssdsdsdsdd.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j**2 - j - 1. Let d(p) = 59*p**2 + 153*p + 14. Let c(u) = 12*u**2 + 29*u + 3. Let h(b) = -16*c(b) + 3*d(b). Determine -2*h(w) + 11*k(w).\nAnswer: -3*w**2 - w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 565.3 in -0.9, -0.5, -2\/5, 0.067?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(1\/4)\/w))**4\/(w**(-2)\/w*w**(-5)) assuming w is positive.\nAnswer: w**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15363, 28211, 41061, 53913, 66767, 79623?\nAnswer: 92481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, u: 2, b: 4, s: 2, k: 1, e: 2}. Give prob of picking 2 u and 1 j.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 + 26*s**2 - 2*s + 18. Suppose 6*x + 26 = 4*x. Calculate the remainder when n(x) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**2\/11 - 24414*v\/11 - 24413\/11 = 0.\nAnswer: -24413, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -200557 (base 10) in base 12?\nAnswer: -98091","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymxebcccccccmb. What is prob of picking 2 c and 1 e?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + sqrt(19) + (4*sqrt(171))**2) + (5*(sqrt(171) - (sqrt(171) - -1*sqrt(171)*6) - sqrt(171))\/sqrt(9))**2.\nAnswer: 5*sqrt(19) + 36970","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/7799 - 7159477\/38995. Let a = m + 184. Factor 3\/5*o**4 + 2\/5*o**3 - 3\/5*o + 1\/5*o**5 - a*o**2 - 1\/5.\nAnswer: (o - 1)*(o + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 3*j + 4*j + (-2 + 1 + 3)*(7*j - 4*j - 2*j) - 4*j + 0*j + 6*j - 8 + 2*j + 8)*(2*j**2 - 3*j**2 - 6*j**2).\nAnswer: -35*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407003.\nAnswer: 367, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -16*m**2. Let i(s) = 37*s**2 + 31*s**2 - 63*s**2. Determine n(i(j)).\nAnswer: -400*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18642*h**2 + 1455*h + 72?\nAnswer: 37284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 0.1 (c) -1 (d) 5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 854008, 1708015, 2562016, 3416011?\n\"Answer: -3*y**2 + 854016*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 11*z - 504 = -6*d, 4*d - 3*z - 336 = 0. Solve 34*f - 22*f + d = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 5:57 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (30\/270)\/(10\/3105)*(-2)\/3\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6204 + 11182. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111 - -1101101111000010?\nAnswer: 1101101110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1777380300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 207466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-4))\/((-14)\/84). Let j(q) = 4*q**2 - q. What are the prime factors of j(g)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3336 (base 16) in base 13?\nAnswer: -5c76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10669477?\nAnswer: 7, 13, 29, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -25.\nAnswer: -7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77511, 77511, 77509, 77505, 77499?\nAnswer: 77491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -25*t**3 + 4*t**2 + 6*t - 2. Suppose -j - 3*j = -12. Let y(g) = 24*g**3 - 4*g**2 - 6*g + 2. Let l(m) = j*n(m) + 2*y(m). Is l(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**5\/60 + 7*l**4\/24 - l**3\/2 - 3*l**2. Let r be q(6). Factor r*z - 12*z**3 + 3*z**4 + 2*z + 9*z**2 - 2*z - 12 + 9*z.\nAnswer: 3*(z - 2)**2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c + 4. Let v(z) = 671*z**2 - 4. Calculate i(v(m)).\nAnswer: 1342*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 + 18*r + 30. Let x be d(-21). What is the highest common divisor of 62 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.240237 rounded to two decimal places?\nAnswer: -1.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - (-1 - (8 + 6 + -7)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 + -81. Let n be 10\/15 - (w\/6)\/(-2). Let z = 7 + -5. Sort 7, n, z in ascending order.\nAnswer: n, z, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by -119\nAnswer: -44\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w. Let s(d) = 5*d. Let b be 4\/10 - 26\/(-10). Calculate b*s(j) - 4*f(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2\/13 (b) 1\/3 (c) -0.5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 6*t + 4*t**2 - 4 - 2 - 3*t**2 - t**3. Let k(x) = 2*x**3 - 2*x**2 - 11*x + 11. Let r(z) = -6*k(z) - 11*l(z). Find the third derivative of r(m) wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t - 26. Let x be r(-5). Let i be (4 + -4)*(-2)\/x. Let j be (i*1\/(-4)*2)\/(-4). Is j at most 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59512 = -119*t - 56*t + 6638. Calculate the remainder when 1519 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 1. Let d(t) be the first derivative of t**2\/2 - 2*t - 28. What is 4*d(a) - 7*h(a)?\nAnswer: -3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (286 + 1372 - 125 + 146)*(-5*p + p**3 + 5*p) to the form m + c*p + h*p**3 + o*p**2 and give h.\nAnswer: 1679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10*((-263610)\/(-225))\/101?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 + 9*x**4 - 117 + 55 - 3*x**2 to b*x + t*x**4 + g*x**2 + y*x**3 + m and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88*k**2 + 88*k**2 - 60*k**4)*(-23 - 9*k + 23).\nAnswer: 540*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 - 46 - 30)*(-3*x + 2*x + 2*x)*(-13*x**3 - 26 + 26) as k + s*x**3 + j*x**2 + l*x + r*x**4 and give r.\nAnswer: 702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -18\/11, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1642.5 + -1643. What is the nearest to -2.2 in x, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 14*b + 25. Let q be d(-5). Let r = q - -74. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -23*v**4\/3 + v**2 + 4756*v. Let i(z) = -29*z. What is i(o(s))?\nAnswer: 2668*s**2 - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -74 - 221. Find the first derivative of -z + 15*a - 7*a + 10*a + 57 wrt a.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2030, 0, 10, -9 in descending order.\nAnswer: 2030, 10, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + sqrt(44))*3 + sqrt(11) + sqrt(132)\/(sqrt(300) + sqrt(12)))**2 + (4 + sqrt(2816) - sqrt(2816) - sqrt(44))**2.\nAnswer: -16*sqrt(11) + 43091\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 6. Suppose -2*z = -5*s - 1 + 3, 5*z - 26 = -3*s. Suppose 3*i - 5 = z, -59 = -4*r - 5*i. What is the remainder when f is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10201022120 (base 3) in base 7?\nAnswer: 423132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 123 = 8*g + 5*m, g - 60 = -m. What is the remainder when g is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4 - 2 - 3 + 7 - c. Give k(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 51 = 4*q, -3*n + 3*q + 6 = -24. Solve -2*x - 6 = 2*w, -2*x - n + 21 = -5*w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y + r - 7, -5*y + 14 = -2*r. Let f(i) = 3*i - y*i + 5*i. Let k(b) be the first derivative of b**3\/3 - 3. Give f(k(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 163*m**2 - 34*m - 5445. Give d(-163).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hypyp. Give prob of sequence ypy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2505304 - 11?\nAnswer: 2505253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/2937 and -38\/891?\nAnswer: 79299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4\/y)\/y**(-4\/7)*y**(2\/5)\/y*y*y**4*y*(y**1\/y*y)**(-30)*y*y**(-4)*y*((y*y**4)\/y)\/y assuming y is positive.\nAnswer: y**(-701\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176104 divided by -2.\nAnswer: 88052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-2)*6888\/(-97006)\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 51 - 49 = 0. Let m(z) = -54 + 0*z**o + 3*z**2 + 54. Let g(u) = -3*u. Give g(m(s)).\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 42 = 4*a - 18, 4*b = 0. Let s be 12\/a*2 + -2. Suppose -5*z + 10*z - 2*x = 3, 0 = 2*z - 2*x. Is z >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 13*h**2 + 11*h - 6. Let j(s) = -s**3 - s**2 - s. Let l(c) = c**2 + 15*c - 28. Let r be l(-17). Let g(w) = r*j(w) - 2*p(w). Factor g(o).\nAnswer: -4*(o - 3)*(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 952 and 292?\nAnswer: 69496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 0, -y + 243 + 113 = -v. Suppose 0 = -3*q + 238 + 728. Suppose 6*z - q = y. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.36 + -3.36. Sort d, -2\/5, 92, -2 in descending order.\nAnswer: 92, -2\/5, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, 306\/5, 157, -1.\nAnswer: -1, 37, 306\/5, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14340, 14349, 14358, 14367?\n\"Answer: 9*w + 14331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -f - 10. Let t(w) = -w**2 + 19*w - 3. Let m be t(19). Let v = m - f. What is the remainder when 43 is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 0, -18, -8, -17.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41052906 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 215053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u - 4*u + 0*u)*(-16 + 42 + 45)*(0 - 6 - 3*u + 5*u) to the form h*u + c + t*u**2 and give t.\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 + 46*z + 8. Let j be v(23). Suppose -17 = -2*k - 5*c, -14 = -3*k - c - j. Is -3\/28 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -862, -869, -886, -919, -974, -1057?\nAnswer: -1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.562805 to 2 decimal places.\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (1\/((-2)\/(-2)))\/(-25 - 14059442\/(-562377)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7))**(-4\/3)\/(v*v**1)**(1\/37) assuming v is positive.\nAnswer: v**(-338\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 4*k = -64, -5*b + 4413 = 4*k + 4484 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-66)\/320 + (-4)\/10?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 greater than -979866?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.8068329 to three decimal places.\nAnswer: 11.807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*f - 2*g, 2*f + 2*f + g - 21 = 0. Put f, -3\/5, 4\/3 in increasing order.\nAnswer: -3\/5, 4\/3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 760.4358 years in millennia?\nAnswer: 0.7604358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1307, 3, -1, -1\/13, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 6:12 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5*w - 5, 4*p + 10*w + 5 = 5*w. Let a be 0 + p + 0\/1. Solve 3*m + 8 - 2 = a for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*i + 4*i - 6*i)*(-4*i + 3*i + 3*i + (4 - 3 - 2)*(-2*i + i + 0*i)).\nAnswer: -57*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 4*l - 5*l - 2, -1 = -l. Let x be (-3)\/(-12) + 11\/4. What is the smallest value in i, x, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(550) - -1*3*sqrt(550)) + sqrt(550))\/sqrt(11))\/(sqrt(160) + ((sqrt(160) - 1*sqrt(160))*3 - sqrt(160)) - sqrt(160) - sqrt(160)))**2.\nAnswer: 125\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 minus -16?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = y + l, 1 = 5*y - l - 0. Suppose y = 75*q - 82*q + 20181. Suppose -10621 = -2*v - q. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, -64984 in decreasing order.\nAnswer: 1, -0.2, -64984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 2*g - 1058857, -7*g + 3706000 = -0*g - 3*r. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-9))\/(-173 - 145024\/(-927))\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.8534384 millennia?\nAnswer: 853.4384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12200104 - -223?\nAnswer: -12144331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 46 = z, 5*q + 3*z - 89 = -3. Suppose 4*x + 5*i = i + q, -3*i + 12 = 0. Suppose x = -4*p - 4 + 60. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124448998?\nAnswer: 2, 23, 2705413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t**(1\/2)\/t))\/t)**(25\/6)*(t\/t**1)**(-1\/83)*(t**(3\/2)*(t*t**(1\/4))\/t*t)**(1\/3) assuming t is positive.\nAnswer: t**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5555947 to the nearest integer?\nAnswer: 2357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and -23.98?\nAnswer: -191.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 612770063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(15\/(-27)))\/(3\/5). Suppose -g*j - 1 = 5*h - 0*h, -h + 1 = j. Let 1\/3*c**4 - 1\/3*c**2 + 0*c + 0 + 0*c**j = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**6\/180 - i**5\/30 - 5*i**2\/2 + 6*i + 67. Let c(u) be the second derivative of q(u). Let c(l) = 0. What is l?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nhhhnhhunhnnnhhhhhnh?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 65521.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 39*v**2 - 34*v + 280. What is the remainder when y(-40) is divided by -14*(-1)\/(-1 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 52. Suppose -6*q + f = -9. What is the closest to 0.4 in 0, q, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 4 = 2*l + 10*p, 0 = l + 5*p + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -25427149*y + 25427153*y - 24, 12 = 4*q - 4*y for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 69782 and 820?\nAnswer: 697820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -822 - -821.99998909. Round b to 7 decimal places.\nAnswer: -0.0000109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-62)\/(-124))\/((-2)\/16*3)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 106 + 38 = 0. Suppose c + 1 = 5*h. Solve h*m = 2*m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v**2 - 2*v + 6. Let b = 423 + -1258\/3. Let u(s) be the first derivative of -13*s + 4 + b*s**3 + 2*s**2. What is 13*g(w) + 6*u(w)?\nAnswer: w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.113 - -2.103. Suppose 5*l - 25 = 5*x, x + x - 3*l = -11. Put a, -0.5, x, 2\/7 in decreasing order.\nAnswer: 2\/7, a, -0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 230\/13? (a) 5\/6 (b) 0.3 (c) 0 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7765.837 decades to millennia.\nAnswer: 77.65837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 16. Let g be 1 + 0 + -15 + 20. Suppose 12 = h - g. Calculate the lowest common multiple of z and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490061 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1510702257 to the power of 1\/2, to the nearest integer?\nAnswer: 38868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + x + 42 = 0. What is the greatest common divisor of x and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -7*f**4\/12 + f**2 + 5*f. What is the derivative of t(l) wrt l?\nAnswer: -14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9.8 (b) -0.2 (c) 2\/5 (d) 4 (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/88 and -17\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1091*j + 81233 = 97598 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31672 a multiple of 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/8 + 76\/36.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 104 + (29 - 31 - (15 - (-6 - -5)))\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20447872 divided by 6\nAnswer: 10223936\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -200730, -200733, -200740, -200751?\nAnswer: -200766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3 = -h, -5*i - 5*h - 6 = -2*i. Suppose -3*b + i*y - 12 = 0, 4*b + 2*y + 2*y + 16 = 0. Let t = 125 - 124.8. Sort b, t, 1 in increasing order.\nAnswer: b, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -951883*a**3 + 1493557*a**2 wrt a?\nAnswer: -5711298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*z. Let y(b) = b**2 + 8*b + 6. Let h be y(-8). Suppose z = -h*q + 2*q + 24. Calculate the remainder when 11 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100001101110110011 (base 2) to base 11.\nAnswer: -94893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 - 13*v**2 - v + 1. Let j(f) = -f**3 - 3*f**2 + 4*f - 1. Let x be j(-3). Let c be h(x). What is the units digit of (72\/c)\/(3\/21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3 - 1298064*a**2 + 7788465*a - 11682738.\nAnswer: -3*(a - 3)**2*(a + 432694)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*q - 6. Put 3, -1, 4, q in descending order.\nAnswer: 4, 3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/1092 and -43\/15?\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 53946 and 0.4.\nAnswer: 21578.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-30)*(-54)\/72?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 45 or 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -13, -0.4, -1, -4344.\nAnswer: -4344, -13, -1, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 2)*(-4*l - 7*l + 10*l)*(-2544 + 2406 + 3113) to the form o*l + g and give o.\nAnswer: -5950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -12.1. Let d = 106 + -322\/3. What is the second smallest value in d, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 + 25. Solve -n*w - 16 = -6*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23597 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2*r = 7*r + 3, 4*c + 4*r = -24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -6, 8, 2\/3, -1 in decreasing order.\nAnswer: 8, 3, 1, 2\/3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -3, -2, 0.1979, 1\/14, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 11*o**2 + 14*o + 7. Give m(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90524.67 hours to nanoseconds.\nAnswer: 325888812000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38563103 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -1947091 and -45 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -29\/5 in 2\/11, -2, -0.4, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8855559 (base 11) to base 13.\nAnswer: -32b1c13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 562392\/107 - (0 - 2 - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 d, and 1 e when three letters picked without replacement from {z: 2, e: 1, c: 1, v: 2, d: 2, i: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6, 11, 14, 15, 14?\n\"Answer: -m**2 + 8*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 7) + -6 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {k: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.6 + 4. Let r = -25\/6 + 107\/30. What is the smallest value in r, 4, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46341, 46340, 46325, 46290, 46229, 46136?\nAnswer: 46005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3*g - 37 = 0, 4*g = -4*a - 54789 + 54825 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1587*s - 4785. Determine d(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6*o - 49 = -3*x, 3*o = 3*x + 15. Let g(u) = u**3 - 6*u**2 - 6*u + 3. Is g(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 591412 and 0.1?\nAnswer: 59141.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (sqrt(3) + 2 + 4 + sqrt(3))**2).\nAnswer: -96 - 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41584, -2, 3, 5, -38 in increasing order.\nAnswer: -38, -2, 3, 5, 41584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 16 = -5*u. Suppose -u*i + 5 = -3. Suppose 0 = -t + 2*w, -2*t + 3*w - i = -t. Solve 25 = 3*q - 2*l, 2*q = -3*l - t - 1 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 - -75.1. Let t = -7 - i. Which is the third biggest value? (a) 0.2 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1007)\/(-6042)*1\/(6\/(-16)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7.12, 16, -2\/9?\nAnswer: 7.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + -6*sqrt(300)*-1*-3).\nAnswer: -360*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = r - 7. Suppose -197 - r = -5*o. Suppose -4*j + o = 14. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*b + 5*i - 0, -13 = -b - i. Let g be 24*(-6 - 104\/(-12)). Suppose 13*r = g*r - 663. Do b and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.07 * -12.0396.\nAnswer: -0.842772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 4:45 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3 - 3 + 3 + 6*q. Let l = -2 - 2. Let o(a) = 7 + 2*a - 13*a + a - 3*a. Calculate l*o(i) - 9*y(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 71*h**2 + 12*h - 54. What are the prime factors of y(4)?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1089998409, -2179996817, -3269995225, -4359993633, -5449992041?\n\"Answer: -1089998408*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from {n: 4, m: 7, c: 6}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oob when three letters picked without replacement from {o: 2, b: 1, r: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -367 minus 12020.2?\nAnswer: -12387.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2)*(-12)\/9. Suppose -3*a + 12 = a. Suppose 5*b = -17 + 2. Put p, b, a in decreasing order.\nAnswer: a, p, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(10)\/sqrt(5) - (sqrt(2) + (sqrt(72) + -4)**2))*2*3 + -1.\nAnswer: -2671 + 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**2 - 8*g - 12. Is q(-17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 995 + -1014 + 1 + 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (j + j - 3*j)*(-2*j + 5*j - 2*j) + 2 - 2 - j**2 + 220*j - 5734 + 5734 + j**2.\nAnswer: -j**2 + 220*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((3 + 1 + sqrt(1377)*2 + sqrt(1377))**2 - (sqrt(1377)*-2 + -2 + 3*(sqrt(1377) + sqrt(1377) + -2))).\nAnswer: 180*sqrt(17) + 12419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 101466310 to the power of 1\/4, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 834694 and 4746?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 459 or 1\/3?\nAnswer: 459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 2282.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - -13890?\nAnswer: 138a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -297 + 317.9. Let l = y - 21. Let a(i) = -i**3 + 6*i**2 - 5*i + 7. Let g be a(5). Which is smaller: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -17, -0.2, 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 4734928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 55130 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/(-10) + 5\/2. Suppose -m*h = -0*h - 56. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*n + 6. Let i = n - 1. Suppose -3*r - 4*j + 48 = -7*j, 2*j - 94 = -i*r. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.11 + 3.11. What is the second smallest value in 5, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.08184 + 1.91816. Which is the closest to -3.7? (a) 2\/3 (b) -0.5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2b140a + -1?\nAnswer: -2b140b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 1415 = 1429. Let o be (j + 1)\/((-2 + -8)\/20). Factor -1\/9*n - 2\/9 + 1\/9*n**o.\nAnswer: (n - 2)*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23.1 and 0.112.\nAnswer: 2.5872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 119*s**2 + 2*s + 2. Let b(w) = -1190*w**2 - 21*w - 21. Determine 2*b(p) + 21*v(p).\nAnswer: 119*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/12)\/(200\/(-180)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1556771 (base 8) to base 5\nAnswer: -103400131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(-3 + (-5*-2*sqrt(1900) - (sqrt(1900) + sqrt(1900) + -2 + -1*sqrt(1900))))**2.\nAnswer: -1385109 + 1620*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*y + y - 3*y + (2*y - 1 + 1)*(5 + 1 - 4) + (0 + 7 - 4)*(3*y + 9*y + 17*y))*(0 + 2 - 1) in the form u*y + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2771674 is divided by 51.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 4*y**2 - 2*y - 2. Let m be ((-2)\/(-4) + 0)*4. Let z be t(m). Suppose -13 = -b - z. Calculate the lowest common multiple of 10 and b.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 9 = 0, 6*y = 3*y + 4*t + 135. Calculate the remainder when y is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/((-2)\/4*1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -7*f**2\/2 - 4*f - 2599. Suppose r - 4*r = -12. Let o(g) = 112*g + 63. What is r*o(j) + 63*w(j)?\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 53 + 97 = 5*o, 0 = -3*o + t + 86. Let v = -27 + o. Let n be (-162)\/(-4) - (-1)\/2. Sort v, -3, n in decreasing order.\nAnswer: n, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*g - 1 + 39*g)*(9*g**2 - 4*g**2 + 2*g**2).\nAnswer: 259*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043 times 0.08?\nAnswer: -0.00344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22\/11*(18\/483)\/(96\/(-168)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*w**5*x - 66*w**5 - 42*w - 3*x wrt w?\nAnswer: 60*w**3*x - 1320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 2 + -12 + -3 + 20?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*3*3*(-8)\/(-360). Factor 0 + 0*h + i*h**3 - 1\/5*h**2.\nAnswer: h**2*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 1010001100001101?\nAnswer: 1010001100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 14952?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 - 2*d**2 - 135 + 60 + 226 + 224 + 2*d as y + w*d + a*d**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(110)*-3 + sqrt(110))\/sqrt(160) - (-2 + (-1*sqrt(11)*4 - sqrt(11)) - (sqrt(176) - (sqrt(176) + 0)))**2.\nAnswer: -279 - 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3531568 by 4.\nAnswer: -882892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 18*n**3 - n**2 - n + 1. Let j = 6 - 42. Let g = 35 + j. Let f(u) = u**2 + 4*u + 4. Let q be f(g). Calculate a(q).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.7 or -19888940?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1298 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 11*f**2 - 15*f - 12. What is the remainder when m(7) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*l - 0*l. Let h(u) be the third derivative of u**5\/60 + 7*u**4\/24 + 2*u**3\/3 - 3*u**2. Give h(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 121.01 + -123.01. What is the third biggest value in -149, 0.04, u, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 58 - 370*c + 5888*c + 442*c.\nAnswer: 5960*c + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -232*l**4 - 41*l**4 - 20*l**2 + 224*l**5 + 264*l**3 + 23*l**4 + 49*l**4 - 267*l**4 = 0.\nAnswer: 0, 5\/56, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.26, 1\/3, -133.393, 4 in decreasing order.\nAnswer: 4, 1\/3, -0.26, -133.393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 22. Suppose 0 = -h + 4*x + 36, 2*h - 354*x = -357*x + 39. Calculate the remainder when ((-5)\/q)\/(2\/(-660)) is divided by h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 4:33 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*h - 26. Let w be (-5)\/h*(-16)\/14. Are 2\/5 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1060 = 27*l + 385 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-7\/2)*j*j\/(((j*(j*(j*j**(-1))\/j)\/j*j)\/j)\/j)*((j\/j**(2\/3))\/j*j)**38)**(-2\/61) assuming j is positive.\nAnswer: j**(-121\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/((h\/h**(1\/6))\/h*h))*h*h\/(((h**(6\/11)\/h)\/h)\/h)*(h\/(h*h**13\/h*h*h))**(8\/3) assuming h is positive.\nAnswer: h**(-705\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 61, -1 in increasing order.\nAnswer: -32, -1, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*p - 4366 - 5543 = -253*p for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1714*h - 3455*h + 1726*h.\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 23 = 13*p - 66, -2*p - q = -17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 - 21*t. Let c(z) = z**2. Suppose s - 5 = -3*a, -270*s + 274*s + 4*a = -4. Give s*c(j) + b(j).\nAnswer: -2*j**2 - 21*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 4, 2\/5, 2.8, 15010, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k = 3*f - 11, k + f - 9 = 0. Let z = 11 - k. Suppose 0*g = -z*g + 6. Solve o - 6 = -g*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5787756 is divided by 292?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -6. Calculate the common denominator of 88\/(-21)*(-3)\/f and -10\/9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/8)*c)\/c*c*(c\/c**3)\/c)\/(c**(-3\/5)\/(c*c**(-1))) assuming c is positive.\nAnswer: c**(-51\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 120*x - 118*x - 1852*x**2 + 9299*x**2 + 8190*x**2.\nAnswer: 15637*x**2 + 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132.9782 - 133. Round t to 3 dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.3 (b) -0.34 (c) -1.79 (d) 1\/6 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -77, 159, 132, 1 in decreasing order.\nAnswer: 159, 132, 4, 1, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -1001110?\nAnswer: -1010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 5*h - 18 = 0. Put 3, 11, h in descending order.\nAnswer: 11, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 94507 = 2*r - 406107, 4*r + 3*c - 623254 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35758 divided by -8.\nAnswer: 17879\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 5*p**2 - 5*p - 1. Let o be (36\/3)\/3 - 2. Let v(n) = -n**2 + 0*n - o*n - n**2. Give 2*a(s) - 5*v(s).\nAnswer: -2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*16\/(-36)*(-552)\/(-3680)*(-30)\/(-258).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = 0.8806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 2305.437 centuries?\nAnswer: 23054.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 320362213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 373310.1 decades to millennia.\nAnswer: 3733.101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 + 3 + (0 - 5) + 2 + 2491 + -2487.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5.1, 1, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - x + 29 = 0, -7*j + 6*j + 2*x = -27. Is j a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*j + 157. Let n(v) = -v**2 + 4*v + 8. Let h(c) = 2*c**2 - 3*c - 7. Let i(l) = -7*h(l) - 6*n(l). What is the common denominator of i(2) and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128 - (72 + -60 - -83)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113111032 (base 5) to base 6.\nAnswer: -15045101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 3*x = -20 + 1, -3*k + 5*x + 7 = 0. Suppose 0 = 3*o + 3*h - 27, -5*h + 14 = o - 11. Suppose -22 = -k*f + n, -3*n = 5*f - 14 - o. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*j**3 + 25 - 7*j**2 - 9 - 18 as s*j + p*j**2 + f*j**3 + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*(-1*(sqrt(180) + (sqrt(180) - (sqrt(180) + 0)))*6)**2*6*-6.\nAnswer: -233280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 t when two letters picked without replacement from tbbnt?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 9*b - 16. Solve 3*y + b + 7 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2*r + 4)*(338 + 311 + 29 + 520) in the form g*r + z and give g.\nAnswer: -2396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261922 is divided by 598.\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (6 + -3) - 5 - (-16 - -8).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3}. What is prob of picking 2 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/6*(-2 - -8). Suppose g*n + 146 = k, -5*n + 285 = 2*k - 2*n. Let u = 1877 + -1861. What is the greatest common divisor of k and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**2 + 68*g + 5. Let p(v) = v**2 + 17*v + 1. Give -9*p(w) + 2*s(w).\nAnswer: -w**2 - 17*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-21280)\/64*3100\/(-35).\nAnswer: 2, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**5 + 10 - 7*x**3 + 3*x**5 + 42*x + 0*x**5 + 68*x**2 + 18*x**4 + 57*x**3 + 2*x**3.\nAnswer: 2*(x + 1)**4*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -12 - (-45 - 20 - (-13 + -12))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/(-24))\/(1\/384). Let j be -2 + 369\/96*74. Let v = j - u. Find the common denominator of -119\/6 and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l. Let b be h(-1). List the prime factors of (4 - b) + (3 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 4, 0, -7, -8, 5, -54 in decreasing order.\nAnswer: 5, 4, 0, -7, -8, -29, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/6)\/((-60)\/5310). Which is smaller: 178\/3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/((-90)\/(-16)))\/(-13 - 350\/(-28)). Solve 8\/15 - 2\/3*q**2 + f*q = 0 for q.\nAnswer: -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/39? (a) -4 (b) 310 (c) 0.0104 (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1316, -10636, -35940, -85220, -166468, -287676?\n\"Answer: -1332*k**3 + 4*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(6\/17))\/y)\/(y**14\/y))**(-11) assuming y is positive.\nAnswer: y**(2365\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 5. Suppose 3*t = d + 15, o*t - 2 = -5*d - 1. Is t even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17959537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 0*s**4 + 0*s**3 + 6*s + 2*s**2 + 0 - 3\/10*s**5. Find the first derivative of n(c) wrt c.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**3 + 4*x**2 + 1. Let i(k) = -10*k**3 + 14*k**2 + 4. Determine 2*i(u) - 7*s(u).\nAnswer: u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(343) + 2) + sqrt(343))**2 - -3*(3 + sqrt(35)\/sqrt(5)).\nAnswer: 843*sqrt(7) + 8728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -7*g - 5. Let u(t) = 11*t + 8. Let j(q) = 8*i(q) + 5*u(q). Let y(n) = 26*n**2. What is j(y(k))?\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**7\/840 + y**6\/180 + y**5\/60 - y**4\/12 - 8*y**3\/3 + 4. Let i(m) be the third derivative of c(m). Determine i(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggugguuuguuuuu. Give prob of picking 3 u.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2356 (b) 4.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 11 = -5*f, 47*d - 48*d = -2*f + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -50391712 rounded to the nearest 100000?\nAnswer: -50400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 506631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 9*t - g + 7 = 0, 2*t - 9 = -3*g. Suppose 3*b = -4*h - 78 + 3645, -t*h = b - 2679. What are the prime factors of h?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 - 4*i**2 + 2*i**2 to the form h*i**2 + d*i + z and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795518 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.24057 and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 17 = 4*n, 2*n + 0*p - 3 = -5*p. Let s(y) = 2*y**3 - 2*y**2 - 3*y. Let f(k) = -k. Suppose 4*l = 5*j - 7, -3*l - 16 = 4*j - 3. Give j*s(t) + n*f(t).\nAnswer: -2*t**3 + 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -13 - 2, 29 = v - 5*i. What is the third derivative of q**6 + 4*q**6 + 27527*q**v - 94*q**2 - 27526*q**4 wrt q?\nAnswer: 600*q**3 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - -1) + (-5 - -2). Suppose 6*o + 3*j - 112 = o, -48 = -2*o + p*j. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**6\/195 - 7*r**5\/130 + r**4\/13 - r - 41. Let p(g) be the first derivative of b(g). Factor p(s).\nAnswer: 2*s**2*(s - 6)*(s - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - c - 168 = 28, -2*c = k - 98. Suppose 4*m + 10 = k. What is the highest common factor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 3 (c) -1.1 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -10, -4*c + 36*g + 17928 = 32*g. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.1 and 3002.\nAnswer: 2995.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53\/6 + -389\/42. Let j = 0.1 + 0. Sort 2, j, p.\nAnswer: p, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 8 = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 9.78. Let u = i + 10.22. Let k = u + -10.3. Which is the third smallest value? (a) 5 (b) k (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 3*c - 9 = 0. Solve 0 = 3*m - c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -1688 + 5203. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(4\/5 - 1). Suppose 2*w = -v*k + 58, -5*w = -2*k + 5*k - 145. Suppose -5*c = -4*c - 3*s - w, -4*c + 61 = -s. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-2) - -3)\/((-16)\/32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-1 + 3 + -14 + 8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 31\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by 6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/21 - (-4 - 18\/(-7)). Let a(v) = -v + 3. Give a(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 - 6*l**2 + l - 2. Let g be m(4). Suppose 5*j - 36 = g. Let t = 28 - 20. Calculate the smallest common multiple of j and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39735859 to the nearest integer?\nAnswer: 6304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6019136 + 5?\nAnswer: 601913b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 375086.1 litres in millilitres?\nAnswer: 375086100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*j - 9*j + 801, 3*u - 328 = -2*j. Let t = j + -645\/4. Let g be (-4)\/(-1) - 2\/(-2). Sort -0.3, t, g.\nAnswer: -0.3, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 240210255 + 1?\nAnswer: 240210256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.2 - 1. Let i = x - 71.1. Let j = i + 85. Which is the second smallest value? (a) 3\/11 (b) -4\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -88*b**4 + 10*b**2 - 29*b. Let x(w) = -59*w**4 + 7*w**2 - 19*w. Let a(f) = -5*g(f) + 7*x(f). What is the second derivative of a(r) wrt r?\nAnswer: 324*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -379*t**9\/72 + 21*t**5\/20 + t**4\/24 - 4*t**3\/3 + 4967*t**2 + 2. What is the third derivative of u(j) wrt j?\nAnswer: -318360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66948?\nAnswer: 2, 3, 7, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13771 and 94?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 34. Let u(j) = -j**2 - 13*j - 13. Let v be u(i). Suppose -v = -2*f + 59. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -4 + 6 + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49415856 and 196?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -8*t - 26. Let g(p) = -23*p - 73. Let o(k) = -6*g(k) + 17*u(k). Suppose 6*j - j = 20. Let n(c) = 2 - j + 11 - 4*c. Calculate 2*n(y) + 5*o(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mp when two letters picked without replacement from jpyjymjyyj?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 580 and 3564370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 968 (b) 1 (c) 0.2 (d) 4 (e) 99\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 + 0*f**2 + 0*f**2 + (362*f**4 + 262*f**4 - 48*f**4)*(0 + f + 0).\nAnswer: 579*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 3, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715279*b - 115710 = -713949*b for b.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378 and 714?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 40*c**2. Let t(q) = q**2 - 8. Give d(t(r)).\nAnswer: 40*r**4 - 640*r**2 + 2560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 457890, 458388, 458888, 459390?\n\"Answer: d**2 + 495*d + 457394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/173 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1. Suppose b = 4*a - 39, b + 7 = a - 2*b. Let l be (a\/(-4))\/(f\/2). Solve -1 = k - l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4002463 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2218 - 2079. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + 0*v**2 - 2*v**2)*(3*v + 0*v - 4*v)*(-85 + 101 - 93) - 3*v**3 - 2*v**3 + v**3.\nAnswer: -81*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4e (base 15) to base 7.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + -0.8. Let n = -464 - -463. What is the closest to -1 in -0.4, n, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 699.1 to the nearest 10.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 251*j*l + 2*j + 2*l**4 + 424 wrt l?\nAnswer: 251*j + 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 19, 5\/4, -1955?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -221 + 218. Let z(n) = -n**3 - 3*n**2 - 6*n - 12. Let p be z(b). Solve p = 2*m + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 334652977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 4*g + 10. Let x be j(4). Let f be -32 - (-5)\/(x\/6). Let d = f + 71. Calculate the remainder when 167 is divided by d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/26121 and -187\/10380.\nAnswer: 90378660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -41, -179, -413, -743?\n\"Answer: -48*r**2 + 6*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3617037773?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*t - 6*t = 20*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3\/5 - 322*q**2\/5 - 2580*q = 0. Calculate q.\nAnswer: -86, -75, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4*y + 10. What are the prime factors of b(7)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akee when four letters picked without replacement from aeakuaubeuaeae?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 + 9 = -4*y, 4*m - 5*y + 132 = 0. Let j(z) = -z**3 - 26*z**2 + 57*z + 24. Give j(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 12:15 AM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(2\/15))\/(k\/(k*k**(2\/5)*k*k)*k) assuming k is positive.\nAnswer: k**(38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 43 = 5. Let x be (-5)\/(-5) - (1 + 0). Let u be 2\/(2 + x + -1). Solve -d = u*d - o for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 - 4 - 86*z**2.\nAnswer: -86*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, r: 1, t: 8, d: 1, n: 1}. What is prob of picking 1 d and 1 n?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 times -9758003?\nAnswer: -322014099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 37*r - 5. Let f(g) = -g + 3. Let y = -13 - -10. Let t be f(y). Is k(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18*(-80)\/(-216))\/((-32)\/(-168))*(-2)\/2.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, h: 1, n: 2, w: 3}. Give prob of sequence wfw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103*u**5 + 260497*u**4 + 16858664*u.\nAnswer: -2060*u**3 + 3125964*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188732, -377335, -565810, -754157, -942376, -1130467?\nAnswer: -1318430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 13) to base 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 5*r - 44, -3*r + 3*l = -4*r. Let a = 15 + r. Is 27 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/1448 and -27\/56.\nAnswer: 10136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 2\/5*v**5 - 15*v**4 - 27 + 506\/3*v**3 + 392*v - 420*v**2. Let m(w) = 0. What is w?\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 6*p + 12. Let n(a) = -2*a - 4. Suppose 5*y = 18*y + 104. Give y*n(j) - 3*t(j).\nAnswer: -2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64 - -142. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 2*w. Let j(v) = -v**2 - 23*v - 2. Calculate 2*j(k) + 22*p(k).\nAnswer: -24*k**2 - 2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21281 + -85123\/4. Let q be 1 + -1 + 1\/(-2). What is the closest to -80 in w, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 12*p - 1592. Suppose 0 = -5*u - 20, 0 = -2*c + 3*u - 53 + p. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2261846, -2261872, -2261914, -2261972, -2262046?\nAnswer: -2262136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r, z = -3*r - 8 + 23. Suppose -2*s + z = 3. Let q(o) = 3*o - 8. Let x be q(s). Are 11 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3.2. Let w = 42.5499 + -42.349919. Let j = q - w. What is j rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**3 + 111 + 522*r**2 - 290 + 179.\nAnswer: -r**3 + 522*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f = 243. What are the prime factors of (5\/3)\/((-9)\/f)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 7. Let d(i) = -z - 9 - 2 - i**2 + 4*i + 7*i. Let p be d(10). Which is the closest to 0.1? (a) -5 (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 3*p**2 - 21*p - 114. Let h be d(-5). Let f be (-2292)\/14 + (-18)\/63. Let c = h - f. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 q when two letters picked without replacement from vqnnvqqnnvnqqnnv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -637, -32\/27, 2\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**4 - 2*u**3 - 4*u**2 + 4*u - 4. Let r(b) = -3*b**4 + b**3 + 4*b**2 - 5*b + 5. Let v(y) = -4*r(y) - 5*s(y). Solve v(z) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m**2 - 28*m + 19. Let v(k) = -2*k**2 - 7*k + 5. Let j(g) = -22*v(g) + 6*y(g). What is j(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 11\/(-77)*0*(-1)\/(-2). What is the smallest value in g, 9, -0.3, -0.5, -1\/6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 106\/39 in 2\/3, 2, 0.07, -0.4, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2131484.\nAnswer: 2, 233, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 4. Let l be t(2). Suppose l*g - 14 + 10 = 0. Suppose -c = g*s - 128, 5*s + c = s + 258. List the prime factors of s.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175d (base 15) in base 6?\nAnswer: -35154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1175, -1180, -1197, -1232, -1291?\n\"Answer: -c**3 + 2*c - 1176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -297015*f**2 + 5*f + 21040 wrt f?\nAnswer: -594030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 264 = -6*m. What is the highest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**3\/6 - r**2\/2 - r. Find the first derivative of y(l) wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1546165632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65964 - 13445. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25569 times 0.4\nAnswer: -10227.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1153414710*y**4 + 150033667*y + 1 wrt y.\nAnswer: 13840976520*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - -20 - 33 - (2 - 13) - (1 + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -1121?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 45*t**4 - 26*t. Let y(h) = -45*h**4 + 25*h. Let d(m) = 3*c(m) + 2*y(m). Find the second derivative of d(v) wrt v.\nAnswer: 540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6959828801 to the power of 1\/3, to the nearest integer?\nAnswer: 1909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36976*w**4 + 38447 wrt w?\nAnswer: -147904*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*x + 3. Suppose o + x = -2. Let l = 7 + o. What is the smallest common multiple of 10 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2404749*o**6 - o**2 + 34*o - 4906 wrt o?\nAnswer: -288569880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/47 or -1831381?\nAnswer: -1831381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 38*v**3 + v**2 - 21*v + 50. Let l be d(3). What is the highest common divisor of l and 378?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**4 - 5*l**4 + 6*l**4)*(-3 - 38 - 18) + 0*l**4 + l**4 + l**4.\nAnswer: 120*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4578*s**4 + 10609*s**2 wrt s.\nAnswer: -109872*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000449494034 to 7 decimal places.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 78 = x + x, -37 = -b + 2*x. Let a = 69 - b. Does 28 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82080\/22572 - 7058\/1947\nAnswer: 2\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by -13393?\nAnswer: -43\/13393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -928 = -5*z - 466 - 437. Which is the nearest to -1\/12? (a) -0.3 (b) 2 (c) 1\/2 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*z**4 - 2385*z**3 - 340*z**2.\nAnswer: -5*z**2*(z + 68)*(7*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -353021.0743 to the nearest ten thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/92)\/(((-3762)\/48)\/11).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3804 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24 and -21\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60312, 60293, 60282, 60285, 60308, 60357, 60438, 60557?\nAnswer: 60720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3115 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 67*f + 596. What is u(-7)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2289841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7481 - -7480.6. Let w = 0.37 + 0.03. Which is the smallest value? (a) w (b) -0.09 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(2 - (-3)\/(-2)). Let h(a) = 2*a**2 - 4. Find the common denominator of -65\/4 and h(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1066029 - 494342. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 90436.93 minutes?\nAnswer: 5426215800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 22 - 25 - (-13 + 2 + -2). List the prime factors of (-30)\/75 - (-4884)\/i.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**4 - 49956*j**3 + 156795696*j**2 - 5114632896*j - 16756409088 = 0?\nAnswer: -3, 36, 6228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225, 218, 211, 204, 197, 190?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -15*c - 22. Let w(y) = 5*y + 8. Let k(u) = -4*o(u) - 11*w(u). Let h(x) be the second derivative of 29*x**3\/6 + 26*x + 5. Calculate k(h(i)).\nAnswer: 145*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 423 + -3212?\nAnswer: -2234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6525*p**4 - p**3 - 9*p**2 + 1270629 wrt p?\nAnswer: -26100*p**3 - 3*p**2 - 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30)\/(-12) - (-2)\/4. Suppose 2*u = 6 + 4, -2*g + 39 = z*u. Suppose o - g = -3*o. What is the smallest common multiple of 10 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*j - 244 = 548 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 22*v**2 + 58*v - 63. What is k(24)?\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78059 or -0.2?\nAnswer: -78059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.157961227 rounded to five dps?\nAnswer: 0.15796","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a milligram in micrograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1104 and 3684?\nAnswer: 338928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 13\/3 (c) 0.046\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 3*h - 5. Let p be s(6). Let t = p - -112\/5. Which is the smallest value? (a) -2 (b) t (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7493, -59912, -202191, -479258, -936041?\nAnswer: -1617468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 15 = 11*s + 5*z, 0 = -5*z + 25. What is the biggest value in 265\/4, s, -3, -1?\nAnswer: 265\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2929101 and 2808204.\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4, -18, -40, -62, -84?\n\"Answer: -22*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**3 + b**2 + 6*b + 6. Suppose -j = -108 + 103. Let f(w) = 2*w**3 + w**2 + 5*w + 5. Determine j*n(l) - 6*f(l).\nAnswer: 3*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (99\/84)\/(57\/5776) + (-9)\/21. Solve m*s + 4 = 123*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2. Let z = 122 - 210. Let h(r) = r**2 + r - 1. Let f(w) = 40*w**2 + 44*w - 44. Let l(o) = z*h(o) + 2*f(o). Calculate l(q(m)).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -414*w - 18052 = 15057 + 11189 for w.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 17 - (-9 + 6 + 11 + -2)) + -49?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, p: 9}. What is prob of sequence ppp?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2008, 7730, 17176, 30352, 47264?\nAnswer: 67918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25687*u**5 + 2*u**2 + 3346*u.\nAnswer: 1541220*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 729, 758, 793, 834, 881, 934, 993?\n\"Answer: 3*z**2 + 20*z + 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2818797341 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 - (5 - 2)) + (-84)\/(-2). Let z(k) = -k**3 + 44*k**2 + 48*k - 109. Let f be z(w). Calculate the greatest common divisor of 52 and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*v + 3*v = 0, 5*q + 9 = 4*v. Which is smaller: q or -16\/13?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-716)\/(-7) - 1) + (-4)\/14 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -882.3 - -882. Which is the nearest to -1? (a) -0.85 (b) p (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 135\/(-180) + ((-14)\/(-8) - 1). Let b(r) = -5*r**3 + 2*r + 1. Let f be b(-1). Suppose i + 3*i = f*x - 8, -4*i = -x - 7. Solve -4*j + 7 - i = d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 3, 24 in descending order.\nAnswer: 24, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 50 - 13 = 5*c, -2*c = 4*v - 66 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 41. Does 12 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 104, 107, 112, 119, 128, 139, 152?\n\"Answer: y**2 + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2, 1, 12, 31, 58?\n\"Answer: 4*o**2 - 9*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 88862?\nAnswer: -5\/88862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 3*n + 7065, 0 = -2*r + 44*n - 48*n + 4718. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100344269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/4 - 519*i\/2 - 89787\/4.\nAnswer: -3*(i + 173)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1048 and 22.\nAnswer: 11528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 93.3234 years?\nAnswer: 0.933234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252127*a + 141504 = 250653*a for a.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*v - 233 = 0, -3*p + 2*v - 7*v + 146 = 0. Suppose -p*i + 18*i + 580 = 0. What is the remainder when (-32)\/(-1*1\/3) is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -21 - 25 - 3*l + l + 46. Let p(t) = 21*t**2. Give p(c(y)).\nAnswer: 84*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 26 = -5*t, -t + 178 = 4*x + 198. What is k in 17*k**2 - 1\/2*k**5 - 49\/2 - 31*k**3 + 63\/2*k + 15\/2*k**t = 0?\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -38821, -38822, -38823?\n\"Answer: -d - 38820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in 1\/8, -1\/3, -17?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 243276 and 60819.\nAnswer: 243276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -1. Let f(d) = 2*d. Let v = -58 - -57. Calculate v*g(n) - f(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - 4593*c**2 + 9274*c**2 - 4645*c**2.\nAnswer: 3*c**3 + 36*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-1)\/2*(-2)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (146\/(-292))\/((-26547)\/(-6)). Is r at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/36 - (-9)\/(-4). Let y be ((-9)\/(-27))\/(a\/30*-1). Suppose 0 = -y*o + 10*o - 505. What are the prime factors of o?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 7:08 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, m: 3}. What is prob of sequence mmm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -3\/2168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(-10\/3)*i**(-3\/7)\/i**(-12) assuming i is positive.\nAnswer: i**(383\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012 + 110?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -59995 times -0.042\nAnswer: 2519.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -5. What is the biggest value in r, 0.07, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + 2*g + 3*g + g + 3*g - 5*g + g + 1 - 1 + (4*g + g - 4*g)*(2 - 5 + 1))*(-3*g**3 + 4*g - 4*g).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 3*w - 2*w + 10*w.\nAnswer: 2*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8824 + 8879 - ((20 - 0) + -3 - 2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -81.\nAnswer: -1\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12541 - -46514?\nAnswer: 61255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.86554 - 3.\nAnswer: -2.13446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 h when three letters picked without replacement from qhuueuh.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 232.3014 milligrams in nanograms?\nAnswer: 232301400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 65, 99, 131, 161?\n\"Answer: -b**2 + 37*b + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2045 (base 6) to base 7\nAnswer: -1226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.5 in 2\/5, -0.4, -0.1, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -16*f + 423. Let v(s) = -6*s + 209. What is -4*a(j) + 10*v(j)?\nAnswer: 4*j + 398","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 1, f: 1, h: 1, k: 2, s: 1}. What is prob of sequence fs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 6*y + 5. Let f be n(6). Let a(q) = -q. Let u be a(4). Let l = u + f. Calculate the remainder when 1 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61.0896 - 97.1405. Let o = 0.1691 - q. Let x = 38 - o. What is x rounded to 1 decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 15*s + 14. Determine d(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + sqrt(3) + -1 + 0 + sqrt(3) + -1 + -4 + sqrt(24)\/sqrt(32) + 2)*2.\nAnswer: -70 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3287 or 1?\nAnswer: 2\/3287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 4\/7, 1, -22, 5082, -2 in descending order.\nAnswer: 5082, 5, 4, 1, 4\/7, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, l: 3, x: 3, w: 1, t: 2, q: 1}. What is prob of picking 1 l, 1 u, 1 x, and 1 q?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5060344?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/10)\/(8\/20). Let p(c) = c**3 - 1. Let t be p(w). Solve 2*g - 2*m - 2*m - 4 = t, -5*g - 3*m = 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 4) in base 13?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/5))\/(o\/o**(-1)))**(-1\/8)\/(o*o**(1\/8)*o*o\/(o\/o**(-2))*o*(o**(-1\/2)\/o)**(-2)) assuming o is positive.\nAnswer: o**(-81\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125 + 43 - 104 - (-2 + 27)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4\/7, 0.05, 179, 0.5 in increasing order.\nAnswer: -3, 0.05, 0.5, 4\/7, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 20*l - 9. Let t be 2\/(-16) - 243\/(-24). Suppose t*b = b + 36. Does 12 divide k(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 126722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 1, 6 + 3 = 5*g - y. Let l be (-7)\/28*(g - 0). Which is the smallest value? (a) 4 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*b**2 - 189*b**2 - 3*b**2)*(-2*b**2 - 7 + 7).\nAnswer: 238*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -427, -424, -419, -412?\n\"Answer: c**2 - 428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -12576481 to the nearest 100000.\nAnswer: -12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58311 is divided by 1023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2. Let w(q) = -12*q + 4. Let g be w(4). Let f(o) = o - 1. Let s(l) = 10*l - 11. Let n(y) = g*f(y) + 4*s(y). Determine b(n(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 + -41. Let d(b) = 7*b + 17. Let u(i) = -4*i - 9. Let g(p) = 3*d(p) + 5*u(p). Let n be g(-6). Solve 4*o + m - 2 = -m, -m + l = n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 0 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*w + 16. Suppose 0*n = w*n + 120. Let l = -13 - n. Is 11 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + 18. Suppose -5*z - f = -4*j - 2*z, 2*j - 18 = 2*z. Let w(y) = -4*y + 11. What is w(j)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/8)\/(5\/60). What is the second derivative of 2*i + i**v - 2*i + 9*i wrt i?\nAnswer: 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13176004 by -3294001.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5*w = -15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 208873526.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z - z + 6*z)*(0 + 3 + 14)*(-2 + z**3 + 6*z**3 + 13*z**3) in the form p*z**2 + y*z**3 + v*z**4 + r + d*z and give v.\nAnswer: 1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135802174?\nAnswer: 2, 157, 432491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44.79485 - -0.27115. Let n = 0.034 + k. Let a = n - 45. What is the nearest to a in -0.03, -1, 1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1089\/3508 or 4\/7?\nAnswer: -1089\/3508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**6\/120 + o**5\/30 + 3*o**4\/8 - o**3\/6 + 1755*o**2. Calculate b(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/561 - 1136\/3927. What is the nearest to 0.1 in -73, -5\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -120 - 26. Let i = 407 + r. Is i a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.002468 + 2.624232. What is i rounded to 2 decimal places?\nAnswer: 2.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-6) - 1\/(-2). Suppose q = w*q - 21. Solve -2*f + 1 = -q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1145 + 9161\/8. What is the closest to -1 in 2\/21, 7\/3, b?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(245) + sqrt(245))**2 - (5 + sqrt(450)\/sqrt(10))**2.\nAnswer: -30*sqrt(5) + 11935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(((b\/b**32)\/b*b)\/b))\/b)**(7\/2)*(b**32)**49 assuming b is positive.\nAnswer: b**1680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -991*m + 21. Let y be a(-9). What is y rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872694085 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4*(-20)\/3. Let m = 4 - 1. Suppose 4*x - f - 8 = m*f, 0 = 5*f + 20. What is the third smallest value in x, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*h - 6181, 4*h - 5*y - 6429 = 6010. What is the least common multiple of h and 3987?\nAnswer: 27909","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 4*d + 10. Let f(t) = 2*t + 47*t + 2*t**2 - 44*t + 11. What is 3*f(k) - 4*n(k)?\nAnswer: -2*k**2 - k - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 726, 1442, 2158, 2874, 3590, 4306?\n\"Answer: 716*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 7. Suppose 7 = -b + 2. Let j(g) = 3*g**2 - 4 + 0*g**2 - 4*g**2. What is b*j(p) - 3*z(p)?\nAnswer: 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-515)\/(-20))\/(-2 + (-34)\/(-16)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 303320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/23)\/1 - 120\/(-1265)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggdj when four letters picked without replacement from jqgqqdqqgjqqgqqlqqd.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 85, -4, 0.2, -4263 in descending order.\nAnswer: 85, 0.2, -4, -4263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cuoicofioi. Give prob of picking 1 i and 1 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from {y: 1, c: 1, r: 2, u: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - 4*l**2 - 6*l - 5. Let p be o(-6). Let w = 189 - p. What are the prime factors of w\/(-3 + -1 - -6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p + p - p + (1 - 4 + 1)*(-4*p + 0*p + 3*p) - 2*p + p - p + (-4 - 4 - 9)*(-2*p - 2*p + 2*p) + 20*p + 39*p + 44*p.\nAnswer: 136*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*s - 198 - 833 = -202*s + 489 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 + 30 - 27 + 5*i**2)*(-24*i - 14*i - 10*i) in the form g + f*i + a*i**2 + r*i**3 and give f.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 19. Suppose -b*s - f - 22 = -5*s, 3*s - 78 = -f. Calculate the highest common divisor of 5 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055\/272 <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 28\/4 + -3. Suppose -4*h + t*u = 796, h = 3*h + 3*u + 408. Let o = -30 - h. Is 19 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3846903.54195907 - 38868.87207007. Let q = -3808037 + c. Let y = 2.33 + q. What is y rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-10) - (-15)\/225)*-3102 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16136 divided by 4034.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144869 is divided by 277?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*n + 57*n + 56*n.\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, q: 2}. What is prob of sequence ppq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -11*o**2 - 9*o + 5. Let c(x) = -8*x**2 - 8*x + 5. Give -4*c(s) + 3*z(s).\nAnswer: -s**2 + 5*s - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*g - 1)*(-1 + 4*g**2 + 1) + (-4*g**2 + 0*g**2 + 3*g**2)*(g + g - g).\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b2 (base 13) in base 6?\nAnswer: -1242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**5\/20 - 3*b**4\/4 - b**3\/2 - 5*b**2 - 7*b. Suppose 0 = 23*f - 26*f - 27. Determine p(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 4*r - 9 = 0, 0 = -5*y - r + 2*r + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.4 + -4.42. Let y = -0.97999941 + b. Round y to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -3493\/3, 0.6, -2\/3, 0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6129 - 5964. Solve -179*m - 56 = -v*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4 + -0.1784?\nAnswer: 3.2216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41319 + 25989635\/629. Let m = c - 51967\/9435. Find the common denominator of m and 79\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4791, -9578, -14365, -19152?\n\"Answer: -4787*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**7\/84 - 7*c**4\/12 + 47*c**3\/6 - 45*c**2. Let u(g) be the first derivative of p(g). Differentiate u(i) wrt i.\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -9.82. Let u(q) = -3*q + 16. Let a be u(6). Sort a, z, -2\/5 in ascending order.\nAnswer: a, -2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 4314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 18557.078 rounded to the nearest 100?\nAnswer: 18600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36380 + 74731. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -420*t. Let n(o) be the third derivative of -o**5\/60 - 4*o**2 - 33*o. Determine k(n(p)).\nAnswer: 420*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - q + 8 = 0, -2*q + 6 = -3*k + q. Suppose -4*f - 5 = -1. Let z be 2\/6*(-4 - f). Which is the closest to z? (a) -0.2 (b) 0.4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - -1.6. Let t = -1129 - -551. Let v = t - -577.6. Which is the second biggest value? (a) v (b) 5 (c) -1\/2 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 313960278?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 2. Suppose 0 = -6*y + 2*y - 3*q - 3, -5*q - 10 = 5*y. Suppose 19 = -y*o + 43. Solve o = -u*c + 23 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649018 is divided by 98?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**4 - 1358*l**3 + 1254420*l**2 - 312850600*l + 24918016000 = 0.\nAnswer: -2048, 230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 15, -59 in descending order.\nAnswer: 15, 4, -1, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 130*k - 4346 + 1130 = 164 for k.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -4. Let r be -1*k*(-2 - -3). Suppose 91 + 11 = r*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 3*l - l + (-4 + 4 - 3)*(0*l - 4*l + 2*l) + 2*l - 3*l - 6*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4345807 millilitres in litres?\nAnswer: 0.0004345807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 t when two letters picked without replacement from {g: 1, t: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -136306 + -4646?\nAnswer: -144255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 13*z - 190. Let b be x(41). Let q = 349 - b. Solve -9 - 15 = q*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - 10*t**2 + 19*t - 6. Determine b(-15).\nAnswer: 834","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25656872819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -10. Find the first derivative of t + 3 + 2*k**3 + 2 + k**3 wrt k.\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**6\/48 - 3*n**5\/40 + n**3\/6 - 246. Let c(z) = 0. What is z?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/667?\nAnswer: -2\/667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/24*9\/24.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 25*h - 134. Let w be d(8). Solve 2 = -w*l + 3*m, 2*m - 32 = -5*l - 18 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -34709\/89 - -390. Let w = -4097\/267 + y. Find the common denominator of w and 75\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115509.5 - -115495.49994. Let s = 150 - 136. Let w = y + s. What is w rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2361227625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 AM and 1:32 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four ninths of a hour in seconds?\nAnswer: 13600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4030 and 90210.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54325 and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 4. Suppose 3*f - 4 = -0*f - 2*g, 0 = -5*f - 3*g + 6. Is f at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + 2.6. Let b = 8.94 - 8.64. What is the nearest to -0.2 in b, j, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618422 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: In base 11, what is -6 - -46068?\nAnswer: 46062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1765 - 1769. Let o(m) = m + 1. Let n be o(-4). Which is the nearest to -1? (a) h (b) n (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.03 greater than or equal to 0.103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 595 and 6120?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2896836896 + 0.12\nAnswer: -2896836895.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(4\/6*3 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -17*f**4\/24 - 2*f**3\/3 - 3*f**2. Let m = 1 + -10. Is g(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x - 12. Let m be i(4). Suppose -m = 2*t - 2*o, -o - o + 14 = 4*t. Solve -s + t = -0*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnncncnnnnn. Give prob of sequence nc.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66389640.\nAnswer: 2, 3, 5, 727, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13673967?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/24 + (-3915)\/(-20). Suppose -238 = -s - j. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2996*x + 515301. Give r(-172).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-70180 + 7*t + 70178 + 8*t)*(-256 + 256 + 9*t + (t - 2*t + 2*t)*(-2 + 4 - 1)) to the form x*t + s + p*t**2 and give p.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -117)*(7 + -3 + -2). Suppose -131*b + 127*b = -a. What is the remainder when 288 is divided by b?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*w + 28. Let c be (w\/30 - -1) + (-27)\/(-15). Let o(t) = -t**3 + t**2 + 2*t + 1. Let b be o(2). Solve 5 = c*l + b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, q: 3, b: 5}. Give prob of picking 1 d, 2 b, and 1 q.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + 1 + (-2 - -1). Suppose 42 = 4*z - 2*m, m - 57 = -z - w*z. Is 843\/z + (-12)\/(-78) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 5*d**2 - d. Let n be f(-5). Suppose 0*q - n*q = -20. Suppose -q*c - 651 = -5*w, -5*c = -0*c + 20. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/3 - 89\/(7\/(-7)). Suppose -56*h + 63*h - w = 0. Calculate the highest common divisor of 169 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -181 - -183. Let g(s) be the first derivative of 0*s**3 + 0*s - 1\/4*s**4 - 3 + 2*s**i. What is the second derivative of g(d) wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5097.\nAnswer: 3, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29670 + -656474.1.\nAnswer: -626804.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:47 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 3*h - 1. Let k be l(-4). Let d be 10 + (-1)\/(-2)*-2. Let x be (-22)\/(-6) + k\/d. Solve -x*f - 24 + 4 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(9\/2)*i)*i)\/(i*i*i**(-20)*i))\/(i**(-13\/4)*i*i**(1\/17)) assuming i is positive.\nAnswer: i**(1067\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1202*g - 2 + 2 - 249*g + 864*g)*(-3*g**2 - 3*g**2 + 3*g**2).\nAnswer: -5451*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 - 3 + 3 + (0*k + 2*k - k)*(2*k - 2*k + 2*k)*(-311 - 5 - 131) + (4*k + 2*k - 3*k)*(2*k + 1 - 1) - 4*k + 4*k - k**2.\nAnswer: -888*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a - 25. Let b(m) = -2*m - 17. Let o(t) = 7*b(t) - 5*d(t). Suppose 5*s = 11 + 4. Suppose -3*y + 9 + 0 = 0, 5*x - y = -s. Calculate o(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -699*h**2 + 3748 wrt h.\nAnswer: -1398*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173904?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence id when two letters picked without replacement from {z: 4, q: 3, i: 4, d: 7}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/3 + 1 + 7. Let u be (-30 - 2)*39\/b. Let q = u - -351. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11560218.\nAnswer: 2, 3, 1926703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15253337 to the power of 1\/2, to the nearest integer?\nAnswer: 3906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29\/310, 1\/4, 3 in descending order.\nAnswer: 3, 1\/4, 29\/310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89828 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1648*v + 349372. Give f(212).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 5)\/(-4) - -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 1039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 298 = 4*d, -d + 5*d = -5*k + 319. Is d a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j*j**(-2\/9))*j*j\/(j*j**(1\/5)*j*j)*j*j**0*j\/j**(-4) assuming j is positive.\nAnswer: j**(226\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -21*v - 12. Let q(z) = 41*z + 10. Determine 4*q(y) + 7*t(y).\nAnswer: 17*y - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32283.\nAnswer: 3, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 106 + -98. Suppose -5*b = 20, 3*b = -6*q + 5*q + y. Solve 4*k = -4*p + q, -p + 4*p = -2*k + 13 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 3*d**2 + 143*d + 175*d - 318*d. Let h(o) = 2*o**2 - 404. Calculate h(l(s)).\nAnswer: 18*s**4 - 404","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40\/6*15\/10. Let y be (-3 - -1)\/((-4)\/s). Suppose -y*u + 144 = -71. What is the remainder when u is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*20)\/((-6)\/(-12)). Suppose 0 = w*c - 39*c - 83. Calculate the remainder when c is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*h - 1, -3*h - 3 - 3 = 0. What is the first derivative of 6*n + 7 - r*n - 11*n - 9*n wrt n?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1565*l**3 + 10*l**2 - 8*l + 3. Let a be h(-9). What is a rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ae - -3cc?\nAnswer: 58b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 2*f = -12, 3*f = -d - 167 + 169 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 12*k**2 - 20*k - 6. Let z(j) = -4*j**2 + 7*j + 2. Calculate -6*m(l) - 17*z(l).\nAnswer: -4*l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-154)\/33)\/(((-2)\/3)\/1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4755063923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**4\/9 - 1363828*f**3\/9 - 4091462*f**2\/3 - 20457260*f\/9 + 34095475\/9 = 0. Calculate f.\nAnswer: -1363819, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 3*o**2 - 19. Let t be f(4). Let n = -15 - t. Sort 2, n, -4.\nAnswer: -4, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k + 5. Let d(g) = g + 1. Let q(l) = -6*d(l) + f(l). Let x be q(-2). Solve x*s = p - 18, 4*s + 14 = -2*p - 6 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3034 + -2?\nAnswer: -3040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of 5*t**6\/6 + 6*t**5 + 15*t**4 + 40*t**3\/3 + 26. Factor z(c).\nAnswer: 5*c**2*(c + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 317.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-32)\/12)\/4)\/((-28)\/(-21))*56?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4 - 4*q**3 - 13*q**2 + 40*q + 48.\nAnswer: (q - 4)**2*(q + 1)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 m when three letters picked without replacement from sqdqsqqmmdqdqpp.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -16.00000026. Round d to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 328, 642, 972, 1324, 1704, 2118, 2572?\nAnswer: 3072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -84*q - 117. Determine o(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76507*p**2 - 19126*p**2 - 19127*p**2 - 19126*p**2 - 19121*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 162 and 0.1081.\nAnswer: 17.5122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-70 + 7 - 31)*(-1 + 3 - 4) + 1 - 2 + 3)*(-7*c + 3*c + 3*c) - 47*c + 30 - 30.\nAnswer: -237*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82114, 82115, 82116, 82117, 82118?\nAnswer: 82119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 9:29 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4771.01 and 3974343.\nAnswer: 3979114.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 8:25 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -34*a. Let n(q) = -q**2 - 21*q + 1789. Determine n(s(p)).\nAnswer: -1156*p**2 + 714*p + 1789","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.371 + 177807.\nAnswer: 177807.371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1902981855?\nAnswer: 3, 5, 126865457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-12\/11)*a**(-3)*(a*(a\/(a\/a**(6\/7)))\/a*a)\/(((a\/(a\/(a\/(a**(-13)*a)))*a)\/a)\/a))**(-5\/7) assuming a is positive.\nAnswer: a**(5480\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -7*s - 7. Let o be g(0). Let j(t) = -2*t - 4. Let a(r) = 7 + r + 0*r + 3*r. Let x(p) = p**2 - 4. Let f be x(0). Determine f*a(h) + o*j(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhmmrhyhrmhh. What is prob of sequence ryh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 7:04 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 + 1011110001000010?\nAnswer: 1011110001010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**4\/24 + c**3 - 2*c**2. Let k be h(-6). Suppose -2*w + 2 = -k. Solve -2*s + g = 3*g - 2, 0 = 2*s + g - w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6565 and 1040.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11489865.\nAnswer: 3, 5, 765991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = a. Suppose a = -5*u + 4*u. Suppose u*l - 174 = -3*l. Is 29 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 7:00 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*c - 22*c - 6 + 3*c - 12 + 8*c to v*c + q and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 8, c = y + 7 - 2. Is (244\/(4 - 0))\/c a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/3939 and -43\/202.\nAnswer: 7878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 30 + (-4)\/3*(-42)\/(-28). What is the highest common divisor of p and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)*6)\/(sqrt(35)\/(sqrt(28)\/sqrt(4))))\/(2*sqrt(6)\/(sqrt(33)\/(2*sqrt(11)))).\nAnswer: 9*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, c: 13}. What is prob of sequence scc?\nAnswer: 39\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-616)\/(-264) + 6\/9. Solve -33 = -a*s - 24 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) - (sqrt(98)*-1)**2 - ((sqrt(22)*1)\/sqrt(11))**2.\nAnswer: -100 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, f: 7}. What is prob of picking 4 f?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 e, and 1 g when three letters picked without replacement from {g: 1, b: 1, w: 1, e: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of -a**5\/20 + 5*a**4\/6 + a**3\/3 - 15*a**2\/2 - 102*a. Give h(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s**2 - 3*s**3 - 2*s + 3*s**2 + 5*s**2 - s + 3*s**2. Let x be -4 - -1 - (-65)\/5. Suppose -2*r - 3*r = -x. What is j(r)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 4*i**5\/5 - 46*i**4 - 7292*i**3\/3 - 7008*i**2 - 6912*i - 2803. Find o such that x(o) = 0.\nAnswer: -24, -1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4340 is divided by 1266?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 11*h - 222*h**3 + 5*h + 9*h - 25*h.\nAnswer: -222*h**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + g - 1. Let v(q) be the first derivative of -3*q**4\/2 - 2*q**3\/3 - 2*q**2 + 8*q - 55. What is -4*m(p) - v(p)?\nAnswer: 2*p**3 + 2*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9365180 divided by -110?\nAnswer: -85138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 14\/533 (c) -5 (d) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/4)\/(k\/(k\/k**(-7)*k))*((k*k\/k**(-1\/4))\/k)**(-5) assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 4 (c) -2 (d) 19 (e) -0.5 (f) -1\/3 (g) 218\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1347)\/(-12) + (-5)\/20. Calculate the greatest common divisor of j and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14.1 + 0.9. Let l = f - 23. Let r = l + 8. Which is the biggest value? (a) r (b) 3\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*z**2 + 3817*z + 51082 with respect to z.\nAnswer: -4*z + 3817","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cy when two letters picked without replacement from {y: 5, c: 9}.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1103 - 14*n**2 - 1103 to the form l*n**2 + m*n + q and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146*c**6 - 144*c**2 - 217 + 217 wrt c?\nAnswer: 17520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -349*a + 12*a - 411*a in the form j*a + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.269 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37678.91km to millimeters.\nAnswer: 37678910000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9504 = 134*f - 102*f - 248*f for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(((-60)\/10)\/(-12))\/((-54)\/1971).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {t: 2, m: 1, q: 7}.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 1 + (26 - 33).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*3*-1 + 2805\/600 and (308\/(-8))\/(4\/2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h + h)*(7*h + 2*h - 5*h)*(2*h**2 + h**2 - h**2) + 0*h**4 + 0*h**4 - 2*h**4 + (h**3 - 2*h**3 - h**3)*(-13*h + 33 - 33).\nAnswer: 32*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48*l**3*z**2 - 264*l**2*z**3 - z**3 + 3741 with respect to l.\nAnswer: -144*l**2*z**2 - 528*l*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 - -93. Suppose -5*m + 20 = -5*k, -11*k - m - 20 = -l*k. Sort -1, -4, k, 11.\nAnswer: k, -4, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 8. Let x be z(-5). Suppose 2*m = 4*f - 0*f - 6, -3*m - 3*f + 18 = 0. Suppose x*a = -6*d + m*d + 60, 4*d = 5*a - 73. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33919 is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4071927.5 rounded to the nearest ten thousand?\nAnswer: -4070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2 (b) -85 (c) 1\/6 (d) 1\/13 (e) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/20*5)\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20626 to the power of 1\/2, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -610 + 918. Let x = 487.7 - p. Let v = -73.6 + x. Round v to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 - 2 + 2*f**2 + 3*f + 4*f**2 + 3. What is the units digit of v(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 10:31 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 3*q**2 + q + 4. Let v be s(4). Let j be -7*(-5 + v\/(-2)). Find the second derivative of 0 - 14*z**2 + 0 + j*z + 4*z**2 wrt z.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1980 and 450?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 49, -59, -503, -1451, -3071, -5531, -8999, -13643?\n\"Answer: -28*h**3 + 88*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -435 - -113. Let f = -336 - p. Do f and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(22)*-4)\/sqrt(2) + (2*sqrt(99) - ((sqrt(44))**2 + 2)))*5.\nAnswer: -230 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1364\/5 - 272. Let w = -0.17 + -5.33. Let s = w + 5. Put s, y, -2\/15 in ascending order.\nAnswer: s, -2\/15, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6612633 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 922867713?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/516 and -73\/516?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1745, 3490, 5235, 6980?\n\"Answer: 1745*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (15 + -2214)*3\/3. Let w = u - -3579. What are the prime factors of w?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1949, -1951, -1953, -1955, -1957, -1959?\nAnswer: -1961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/6*((-241920)\/(-728))\/(-45).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3 = -2. Let k(s) = s**2 - 5*s + 7. Let o(t) = -t**2 + 7*t - 1. Calculate the lowest common multiple of k(l) and o(4).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1417038202.\nAnswer: 2, 19, 1741, 21419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 170775 rounded to the nearest one thousand?\nAnswer: 171000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -145b0 + -4cb?\nAnswer: -14aab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 7:16 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 + 114 = 6*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -713 - 509228.\nAnswer: -509941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*c - 12768 = 79*c. What are the prime factors of c?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 2\/5, -0.3, -0.078 in descending order.\nAnswer: 4\/5, 2\/5, -0.078, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -123*i - 139*i + 1572. Suppose -6 = -2*m - m. Solve -i*h - 3*f = -h - 20, m*h - 4*f + 18 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17575 (b) -2031 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 278734 and 1?\nAnswer: 278734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/30321?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p*p**(-3)*p*p*p)**(-3\/4))**46\/(((p\/p**(-3\/2)*p*p)\/p)\/p**(1\/4)*(p**(-2\/3))**(4\/5)) assuming p is positive.\nAnswer: p**(-6373\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + d = -1390, 0*m - m - d + 689 = 0. Suppose -2*l = -f + 287, 4*f + 5*l = 507 + m. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104 - -104.00000047. What is c rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 7*s + 31. Determine q(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 266044 by -454.\nAnswer: -586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - 2*f - 218 + 220)*(0 + 0 - 3)*(1 + f**3 - 1 + (2*f**3 - f**3 - 4*f**3)*(-3 + 5 - 1)) to o + s*f + z*f**2 + h*f**4 + v*f**3 and give v.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(102) + -4*sqrt(102)*-1 - sqrt(102)))\/(sqrt(42)\/sqrt(112) - sqrt(66)\/(sqrt(11) + 1*sqrt(11))).\nAnswer: -32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 1:59 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 365991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 101*c + 2. Let x(o) = 203*o + 3. What is 10*i(d) - 6*x(d)?\nAnswer: -208*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 2:21 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -194*f. Let a(s) = s**2. Give a(b(x)).\nAnswer: 37636*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/(-245))\/((-12)\/385)*(-928)\/1160?\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*q**2\/3 - 6817186*q\/3 - 2272398.\nAnswer: 2*(q + 1)*(4*q - 3408597)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/3905)\/(33\/1089*(-6)\/(-1))?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, -5\/4, -2\/11, 1\/4, 6, -5, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-8))\/(2\/(-144)). Suppose -4*d = -2*d + l. Let t be 24*(-3)\/d*3. Solve w + t = 4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 168 + 92 = 2*j, -d - 49 = -j. Let z be (-147)\/((66\/4)\/11). Let q = d - z. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -5, -57, 1, 31, 7 in descending order.\nAnswer: 31, 7, 6, 1, -3, -5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30966 is divided by 279?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + o = 2*o. Suppose o = p - 2*p + 4. Factor 0*l**2 + 0 + l**p - 1\/2*l**3 + 0*l + 3\/2*l**5.\nAnswer: l**3*(l + 1)*(3*l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 879\/(-24939) + (-2)\/34. Are 1 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 15 = -2*h. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1385268, 5540907, 12466972, 22163463, 34630380?\n\"Answer: 1385213*r**2 + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 - 6 = 4*g, -5*c = 4*g - 24. Suppose c*f - 2*y - 10 = -0*f, -4*f - 3*y = -35. Suppose -f*j + 13 = -4*j. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**15)**(1\/40)*(d*d*d**(20\/3))\/(d\/d**(-12)))**(-13) assuming d is positive.\nAnswer: d**(767\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 100, 3\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02821 to three dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 132441867 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02 + 4.02. Let u = 4 - a. What is the nearest to 1\/4 in 3, 1\/9, u?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2\/4 + 11311253*h\/4 - 11311251\/2 = 0. Calculate h.\nAnswer: 2, 11311251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 7 = -5*o - v, 0 = -2*o + 5*v - 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*p**5 - 6024*p**4 - 56624*p**3 - 152964*p**2 - 119366*p - 16980 = 0. What is p?\nAnswer: -5, -3, -1, -2\/11, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(735)*-3)\/(sqrt(125)*3 - sqrt(125)))**2.\nAnswer: 1323\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (0\/5 + 0). Calculate the common denominator of 34\/5 and -4 + (-39)\/(-10) + f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 123329997 = -978*l + 981*l, -3*l = -2*v + 82219997. What is v rounded to the nearest 1000000?\nAnswer: 41000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5927 - -237043\/40. Find the common denominator of 61\/50 and p.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012100020212 (base 3) to base 8.\nAnswer: -2333272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*x**2 + x - x)*(-3*x + 2*x + 3*x) + (2 + 0 - 4)*(2*x**3 - x**3 - 2*x**3).\nAnswer: -14*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.19*43.235.\nAnswer: -8.21465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/z**(-4)*z*z\/(z\/z**(-8))*z**2\/(z*z\/((z**(-13)*z)\/z)) assuming z is positive.\nAnswer: z**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iggddidzipdggg. What is prob of picking 1 i and 1 g?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -8*t. Let l(m) = 3*m**2 + 899. Give l(h(w)).\nAnswer: 192*w**2 + 899","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b6 (base 12) in base 11?\nAnswer: -358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 338 + -484. Let h = x + 141. Sort h, -3, 3, -1\/5 in ascending order.\nAnswer: h, -3, -1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 - ((1 - 3) + -298 + 317).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*s**4 - 2*s**2 - 2*s**4 - 4*s**2 wrt s?\nAnswer: 120*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*q - 5 = j, 6*q + 5*j = 4*q - 25 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77960 = -122*g + 64*g + 712*g + 14522 for g.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4 - 23 = 0. Let x(j) be the first derivative of 2*j**2 + 3*j - 6. List the prime factors of x(v).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4\/3, 3, 6 in increasing order.\nAnswer: -1, 4\/3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8272 and 300518?\nAnswer: 26445584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -2485.\nAnswer: 1\/497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001588 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -12 (b) -0.04 (c) -5\/7 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r = -12*r + 10*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 50*i - 92928. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190 = 37*w - 338 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1101110111011110 (base 2) to base 13\nAnswer: 1cb11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 + (7 - -23 - 36) + (-1 - 14)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*r, r + 321 = 5*p - 0*r. Calculate the highest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12 - 5 - 45\/5. Let l(s) = -2*s**3 - 1. Let c(h) = -7*h**3 - 5*h. Let y(n) = 10*n**3 + 7*n. Let u(f) = -7*c(f) - 5*y(f). Determine j*l(o) + 3*u(o).\nAnswer: o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**5\/60 - 43*a**4\/36 - 55*a**3\/3 + 1646*a - 2. Suppose x(l) = 0. What is l?\nAnswer: -33, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 274314 and 698?\nAnswer: 274314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2128629271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124 (base 6) to base 16.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 5*c - 17, 4*c - 9760132 = -z - 9760116 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5\/3*v**3 + 1\/9*v**4 + 13\/9*v**2 + 5\/3*v - 14\/9 = 0 for v.\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**5\/390 - n**3\/39 - 31*n**2. Factor y(o).\nAnswer: 2*(o - 1)*(o + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5246*i + 18168 = -2816 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -56, -0.04, -0.7, -1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1044)\/(-290) + -5 + -10?\nAnswer: -57\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 9:08 PM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 40788634 to the power of 1\/2, to the nearest integer?\nAnswer: 6387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 904 divided by -5.\nAnswer: -904\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, v: 11}. What is prob of sequence uuuv?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6120 and 38264?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -b4c6 (base 13) in base 12?\nAnswer: -12579","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = -4*k, -7*f + 97 = -3*f + k. Solve f*o - 3*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -151*a**3 - 2*a**2 + 301*a**3 - 136*a**3 + a**2 - 2*a**2 to the form c + p*a + b*a**3 + f*a**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2 + 7\/2). Let i be ((-6)\/4)\/(1\/z). Let g(o) = -119*o + 7. Let k(f) = 158*f - 8. Let x(c) = -4*g(c) - 3*k(c). What is x(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 182 and 7761?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/45*51*-1?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76 + -76. Let j = 1 + 3. Which is the smallest value? (a) j (b) 0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 29*g**2 + 74*g - 107. Let q be y(-33). Let a = q - 1268. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*w + 57 = 0, -5*m - 3*w - w = -96. Suppose m = 3*r + 5. Suppose -3*q = -2*q - 4. Solve r*l - q*a - a = 30, -2*l - 23 = 5*a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 1. Let o(t) = 2*t + 0*t + 4*t - 5*t. What is k(o(y))?\nAnswer: -y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -8511\/470 less than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10.10716 - 10.1. What is h rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(1\/3))\/w)\/(((w**7*w)\/w)\/w))**(-16\/7)\/(w*w\/(w\/w**(1\/15)*w)*w**(1\/6)*w*w**(-2\/23)\/w**4) assuming w is positive.\nAnswer: w**(76343\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54925008?\nAnswer: 2, 3, 1144271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7639, -30404, -68347, -121468, -189767, -273244?\n\"Answer: -7589*z**2 + 2*z - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -3*q**2 + 13*q - 2. Give p(6).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536273 is divided by 1286.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-90))\/(344\/516)*-80.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2057, 4 in decreasing order.\nAnswer: 2057, 11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54.1 - 3.9. Let d = 60.7 + z. Let r = d + -2.3. Sort 1\/5, 0, r in decreasing order.\nAnswer: r, 1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3753 + -5254. Round o to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 13*z**3 - 3*z**2 - 2*z + 8. Calculate j(2).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 1281 = 1267 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in -4\/3, 5, 3, 209\/3?\nAnswer: 209\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17907.16778 + 17907. What is x rounded to three dps?\nAnswer: -0.168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -6*k - 12. Let n(u) = -3 - 5 + 7. Let a(x) = -g(x) + 4*n(x). Differentiate a(v) wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.23 + -0.23. Let l be (-6)\/16*(-28)\/(-42). What is the nearest to l in f, -3\/7, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.9327722 and 2?\nAnswer: -31.8655444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -1. Let f(u) = -4*u**2 - 2*u. Let v be f(1). Let h = c - v. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 7) in base 10?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**3 - 3*b**2 + 70. Let o(f) = -f**3 + f**2 - 1. Let k(p) = d(p) + 3*o(p). Calculate the remainder when k(0) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 329, 327, 325, 323, 321?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/20*56\/3 + -7?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128735*f**3 + 128725*f**3 - 257406*f**3.\nAnswer: 54*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23343 (base 6) to base 7.\nAnswer: 12561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6710000 rounded to the nearest one hundred thousand?\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-15) + 32\/5. Let k be (u\/(-9))\/((-4)\/6). Which is the closest to k? (a) 1 (b) -3\/2 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1930821 is divided by 54.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 0*k**2 + 6*k - 3 + 5*k - 16*k + 4*k + k**2. Let s be -2 - (1 + 6\/(-2)). Let r be y(s). Put r, 2, 1 in descending order.\nAnswer: 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 101 + -74. Let k(w) = w**2 + 2*w - 1. Let d = -22 + 12. Calculate the remainder when k(d) is divided by z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 193 = 5*k, 5*k + 5*c + 202 = 4*c. Suppose -u + 1 = 2. Is (-7)\/(0 - u)*k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1176)\/(-784)*((-64)\/30)\/(3\/15)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 15*j**2 + 15*j - 14. Let i be x(14). Calculate the lowest common multiple of 8 and (0 - 4)\/(-4) + i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207124961 to the power of 1\/2, to the nearest integer?\nAnswer: 14392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.054341 rounded to four dps?\nAnswer: -0.0543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1516*p - 5 = 4*j + 1519*p, -5*j - 3*p = 4. Put 13, 5, 55, j in ascending order.\nAnswer: j, 5, 13, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 185 - 2*b**4 + 0*b**4 - 182 + 2*b**4 + 0*b**4 + 4*b**4 + (-b**3 - b**3 + 3*b**3)*(-3*b + 3*b - 2*b).\nAnswer: 2*b**4 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, -3, -202 in descending order.\nAnswer: -2, -3, -6, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 80*t**2 - 408*t + 1842. Differentiate u(y) wrt y.\nAnswer: 160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-132)\/(-704)*(-109)\/(-15) and -127\/24.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1277 + 1248. What is the biggest value in k, -2\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16896 is divided by 277?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 - -66. Which is the nearest to m? (a) 4 (b) -1\/4 (c) -3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2056?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s - 8. Let a(q) = -3*q - 42. Let w be a(-14). Suppose w*v = v. Determine g(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -14*b + 208. Let x be v(14). Suppose -385*m = -391*m + x. Solve 3*a + 40 = -0*k - 5*k, k - m*a - 5 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 3*r - 3*r + 2*r. Let d(p) = -5*p + 1. Let h(a) = 6*a. Let l(f) = -5*d(f) - 4*h(f). Calculate l(b(i)).\nAnswer: i - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/670 and -9\/536?\nAnswer: 2680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/9 in -2\/261, 2, 0.5, 0.8?\nAnswer: -2\/261","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 14*r**5\/13 - 1084*r**4\/13 + 17802*r**3\/13 - 85700*r**2\/13 + 9400*r\/13 + 114000\/13 = 0?\nAnswer: -1, 10\/7, 10, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/368 and -109\/3681380?\nAnswer: 14725520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*v**4 + 2*v**3 + 16043*v**2 + 122559285*v wrt v?\nAnswer: 264*v**2 + 12*v + 32086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Suppose 0 = -3*z + 2*k + 22, 5*z + h*k - 5 = -3*k. Solve 0 = z*s - 0*s - 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, j: 2, b: 1, c: 1}. Give prob of picking 1 b and 1 p.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/3 and 13\/609?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -17. Let l be 8\/(-28) + h\/7. Solve -2 - l = f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 1. Let n(b) = 7*b**2 - 4*b + 8. Let z(a) = -n(a) - 6*o(a). Let y be z(5). Let x = -2 - y. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of l**4\/6 + 5*l**3\/6 - 3*l. Calculate the remainder when g(-5) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 - -619639?\nAnswer: 619652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-276)\/(-90) - 7 - -4. Sort -0.5, 0.4, p in ascending order.\nAnswer: -0.5, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/7 - 8\/7*i + 2\/7*i**2.\nAnswer: 2*(i - 5)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 775552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 470 + 2070?\nAnswer: 2550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 80320309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -2 + 11 - 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62626 is divided by 161?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q + 17. Let v be y(0). Suppose r - v - 19 = 0. What is the remainder when r is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18540039 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5201887?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/2*3)\/(9\/(648\/18)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2 = 6*v. Let y be (v - 0) + 4\/(-2). Sort 8, y, 3 in ascending order.\nAnswer: y, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -164 + 160. Is (3 + 19)\/(z*5\/(-160)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f. Suppose -3*m = -m, 4*y = 4*m + 4. Let l(p) = -p + 1. Let q be l(3). Let d = q + y. Give t(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101112 (base 6) to base 7.\nAnswer: 32300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 6*w - 6. Let u be y(-5). Let o = u - -23\/2. Suppose -1\/4*i - 1\/4*i**2 + o*i**3 + 0 = 0. What is i?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*o - 12706 = -46696. Suppose 0 = -3*m - 434 - 226. Let n = m - o. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryrttyptyrprlyw. What is prob of sequence prp?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.78 + -0.12. Let i = n + 0.9. Let j = i + 9. Which is the closest to -1? (a) 2\/21 (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 61, 114, 177, 256, 357, 486, 649, 852?\n\"Answer: c**3 - c**2 + 49*c + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 58, 275, 844, 1939, 3734, 6403, 10120?\n\"Answer: 29*g**3 + 2*g**2 + 8*g + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -521536397 + 521536391.35999866. Let v = -5.64 - h. Round v to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - ((26 - -13) + -35).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of 25*k**4\/4 + 860*k**3\/3 + 970*k**2 + 640*k + 381. Suppose b(s) = 0. What is s?\nAnswer: -32, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + 1. Let o be g(2). Suppose -24*p = -29*p + 10. Let c be ((-40)\/(-15) - p\/(-6))\/1. Solve w - 3*h + o = 2*h, 0 = -c*h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-660)\/330)\/((-1)\/((-1)\/(-12)))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8975, -18102, -27575, -37568, -48255, -59810?\n\"Answer: -29*n**3 + n**2 - 8927*n - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/6)\/((-9)\/27).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.276 to one dp.\nAnswer: -9.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16320345 and 35904759.\nAnswer: 179523795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/24*(154\/33 - 4)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 164?\nAnswer: -1\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 8. Suppose -7*o = -9*o + 16. Let a(v) = 2*v**2 - 2*v - 14. Let u be a(o). Calculate the greatest common divisor of u and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -591 - -590. Let g be 2\/(119\/(-136) - 1*j). Suppose -2*s = -5*m - 6, 2*m = -4*s - 4 + 16. Solve -2*x = -2*y + g, -2*y = s*y + 3*x for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2000811 (base 10) to base 8\nAnswer: 7503653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61841.19 litres?\nAnswer: 61841190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12\/42 - -2*(-8)\/(-42)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**3 + 3*z**2 - z - 3. Let s(u) = -11*u**3 - 5*u**2 + u + 5. Suppose -3*y + 5*i - 20 = 0, 0 = 5*y + 2*i - 26 + 49. Calculate y*c(x) - 3*s(x).\nAnswer: 3*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - 61. Let d(o) = 5*o**2 - 3*o**2 + n - 2. Let j(r) = 3*r. Give d(j(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7808 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41\/12 or -1\/4?\nAnswer: -41\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1 and -296.55?\nAnswer: 297.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 22 = -o - 2, x = -4. Let j = -226 - -229. Is j less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 8 + 4 + 5 + -7 - 13.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 8 + 2. Suppose -2*j = -3*y + 23, 2*j - 5*j = y + 7. What is the units digit of l*(-2)\/j + 67?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -1517*z + 1515*z for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 1492907?\nAnswer: 10450349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8959303 by 2.\nAnswer: 8959303\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 3238.\nAnswer: -7\/3238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 83 + -65. What is the smallest common multiple of 110 and i?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*m**3 - 28*m**3 + 16*m**3.\nAnswer: -31*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.5683 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 65\/455*(1 + 55\/(-20)). Let k = 2 + -3. Which is the closest to -1.1? (a) 0 (b) k (c) y (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 106 + -53. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.26 - -0.16. Sort -2\/7, u, 0.4 in increasing order.\nAnswer: -2\/7, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 + 3*q + (4*q - 6*q + 0*q)*(3 + 1 - 1) - 198*q - 20 + 23 - 3.\nAnswer: -201*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0262576281 to five dps.\nAnswer: 0.02626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -12*i + 15. Let o be u(-14). Suppose o + 73 = 2*h - 4*x, -3*x + 256 = 2*h. Let t = -78 + h. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006263 to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 10. Let j = i - -5. Which is the second smallest value? (a) j (b) -3\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000088977541 rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/105)\/(-1))\/(5\/35).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -5747 (base 13) to base 12\nAnswer: -70ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x - 4. Let f(w) = -3*w**3 - w**2 - 2*w - 1. Let v be f(-1). Let g be m(v). Solve -g*c + 3*c = 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5 = 5*q - 12, -4*c + q + 8 = 0. Is c smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 1) + (1 - -2). Suppose -3*i = d*i - 25. Suppose 143 = 3*t + i*p, -4*p - 39 = -t + 3. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 0*k + k)*(-1 + 2 - 3)*(-3 + 3 - 2)*(-4*k + 4*k + 5*k)*(-k + 1 - 1).\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together -856157176.646 and -0.03.\nAnswer: -856157176.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*v - 6*x + 2*x, 0 = -4*v + x - 1. Let u(j) = -12*j**3 + 2*j**2 + 2*j + 1. Let h be u(v). Which is smaller: 12 or h?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c. Let a be l(1). Let b be 1*(0 - -3 - 2). Suppose -2*h + 3 = -b. Sort h, 1, a.\nAnswer: a, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -10140?\nAnswer: 40560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.026 - 2.974. Let f be 4\/(-36) - (-39)\/(-135). Let r = 0.34 - 0.04. Which is the closest to w? (a) f (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/4*((-4)\/(-13))\/((-98)\/(-637)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**3 + 2*m**3 - m + 40 - 40. Let a be s(1). What is the hundreds digit of a\/6 - (-664)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609262 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 4*g**2 + 2*g. Let n be s(-4). Let i = -4 - n. Suppose -i*v + 75 = v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -4. Let s(l) = -l**3 - l**2 + l + 2. Let q be s(-2). Which is greater: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -1749*n - 178674. What is c(-102)?\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of t - 5\/12*t**4 - 2 - 2*t**2 - 4\/3*t**3 - 1\/20*t**5. Let p(w) be the first derivative of y(w). Suppose p(i) = 0. Calculate i.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-9)*(-12)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2 (c) -1\/6 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 362512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j**4\/5 - 96*j**3\/5 + 312*j**2\/5 - 64*j + 108\/5 = 0.\nAnswer: -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -114, -145, -200, -285, -406?\n\"Answer: -r**3 - 6*r**2 - 6*r - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(4\/6 + -1). Let o be (-52)\/16 - (-3)\/w. Is 22 a factor of 1*33*(-4)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25754 - -137575?\nAnswer: 111621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/2 - 9*n**2\/2 - n\/2 + 9\/2 = 0. Calculate n.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 7*b**2 - 4. Let z = -4 - 4. Let l(j) = j**3 + 10*j**2 + 18*j + 9. Let w be l(z). Give k(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00405568 rounded to 4 dps?\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 341.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 84587340*a - 596251507356300.\nAnswer: -3*(a + 14097890)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -21 + 22 - ((1 - 2) + 0). Suppose -245 = -o - 2*o - 2*h, -o = -d*h - 71. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**5 + 36096*o**4 + 1115552*o**3 + 3776664*o**2 - 3563172*o - 17482392 = 0.\nAnswer: -8993, -27, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 797*g**2 - 24*g - 2. Determine t(-1).\nAnswer: 819","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -3 - (-2 - (-4 - -1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4723 * -4.\nAnswer: 18892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5086.36292 rounded to the nearest one hundred?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 90 - 36 - 2*f - 39. What is z(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -g**2*o**2 - 43*g**2*o*x - 3*g**2 - 14*o**3*x - 150*o**3 - o**2*x wrt x?\nAnswer: -43*g**2*o - 14*o**3 - o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11122 + -101010100?\nAnswer: -100221201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 23*i**2 - 44*i + 52. Let h be s(21). Solve -4 = -b + 3*x - 15, -2*x = 2*b - h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/(-35) - 4\/(-14). Let o(u) = -u**2 - u + 3. What are the prime factors of o(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9664\/3 + -3220. What is the fourth smallest value in -5, 2\/5, u, 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/15 - 14*d\/3 + 24\/5.\nAnswer: -2*(d - 1)*(d + 36)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 591713651?\nAnswer: 29, 101, 269, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111111110001 (base 2) to base 15.\nAnswer: -1321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 577035403 divided by -103171.\nAnswer: -5593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289959 is divided by 9061.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/15 + 4264*z\/15 + 1418.\nAnswer: 2*(z + 5)*(z + 2127)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 4. What is the second biggest value in -3\/5, i, -5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5575*p**2 - p + 664 wrt p?\nAnswer: -11150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(7) + -4)*1 - (1 + sqrt(343)).\nAnswer: -5*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/10 + (-2 - 861\/(-15)). Let h = 59 - u. Suppose -4*d = d - h*t - 311, -2*d + 3*t = -123. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**2\/2 - 12. Let w(l) be the second derivative of -77*l**3\/6 - 37*l. What is r(w(f))?\nAnswer: 77*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*o - 3*u, 0 = 3*o - u + 5*u - 24. Suppose 0 = 3*q + 9, g = o*q + 20 - 5. Suppose 25 = g*y + 1. Solve -3*m - 10 = -f, 5*f - y - 2 = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (150 - 322 + 92)*(3 - 3 + 11*g**2) to q + s*g + t*g**2 and give t.\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 5*a**2 - a + 1. Let w be 16\/(-104) + 4\/26. Suppose w*l - 3*h + 7 = l, -2*h - 12 = 4*l. What is k(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/356400 and -167\/176220.\nAnswer: 31719600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2196*k**2 + 2193*k**2 - 5*k**3 + 30*k**3 + 2199*k**2 - 6592*k**2 - 5*k**3.\nAnswer: 20*k**3 - 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -457*o**4*u**2 + 3*o**4 + 18*o**2*u**2 + o - 120*u**2 wrt o?\nAnswer: -10968*o*u**2 + 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8654 + 58a?\nAnswer: -8086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2126708476.\nAnswer: 2, 531677119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and 649375.3.\nAnswer: -3896251.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 5*u - 2*u + 6*u + 5 - 7*u - u + (-u + u + 2*u)*(0 - 1 + 3) to the form z + w*u and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015426 rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) 5 (c) -4 (d) 307\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3 + (-4 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 766450961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, r: 3, l: 9, q: 2}. Give prob of picking 1 l and 2 q.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2194\/163175 - -8\/1525. Let v(b) = -b. Let c be v(1). Which is smaller: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*7\/(-252)*11\/((-484)\/33)?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5312, -10625, -15938, -21251, -26564?\nAnswer: -31877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -41151406*o**4 - 92814*o**2 - 11*o - 1?\nAnswer: -987633744*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 102 + -b44a99?\nAnswer: -b44997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/734? (a) 2 (b) 0.1 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**5\/4 - 408063*b**4\/4 - 13875672225*b**3\/4 + 41629465083*b**2\/4 - 10407570306*b + 3469224108 = 0.\nAnswer: -68012, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12040)\/86)\/35*3*34\/(-8)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010031 (base 4) to base 14.\nAnswer: -183b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1434 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.308712818 and 2.9.\nAnswer: 2.591287182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8*z = -210. Let s = 38 - z. Let m(i) = -7*i - 3*i**2 - s*i**2 - 3 + 7*i**2 - 2*i**2. What is m(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 2*i + 0*i)*(0 - 4 + 2) + 0*i + i + 0*i + 0 + 0 - 2*i + (9 + 3 - 3)*(-3*i + 0*i + 2*i).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34 - -b6?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1157.9999503 + -1158. What is c rounded to 6 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14301 + -8378. What are the prime factors of k?\nAnswer: 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30)\/(-3)*(47\/(-5) - -1). Let x = y + 83. Put 4, -3, x in descending order.\nAnswer: 4, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 2*d + 4, -4*f + 26*d - 27*d = -2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16663*v**3 - 16706*v**3 - 79*v + 41*v + 38*v.\nAnswer: -43*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**2 + 1 - 1 + (115*h - 59*h + 132 - 58*h)*(-h + 0*h - 2*h).\nAnswer: 5*h**2 - 396*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 4:36 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3)*t**(-14)*t**(-3)\/t**(-2\/11))**(-4) assuming t is positive.\nAnswer: t**(2176\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, m: 1, a: 3}. What is prob of sequence aama?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 4 = -w. Let v be (-1)\/2*(-2)\/1. Let m(y) = -y + 2 + 0*y - v. Determine m(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.76 + 0.14. Let k = -614.1 + 617. Let x = s - k. Which is the closest to -1? (a) x (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 157.3 and 115?\nAnswer: 18089.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsggghggggggsgghh. What is prob of picking 1 h and 1 g?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79639 by 2.\nAnswer: 79639\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 7*m - 19. Calculate the remainder when 97 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 + 56. Let l be (-24)\/10 + h\/((-15)\/(-6)). Let q be (-4 - -10*1) + l. Solve -5*b + x + q = -x, -3*b = 2*x - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425909 is divided by 425857?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 4*u - 5. Let d be r(-6). What is the second derivative of 7*i**3 - d*i**5 + 7*i - 4*i**3 - 3*i**3 wrt i?\nAnswer: -140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 o when three letters picked without replacement from ddodddojdodddjd.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1436218 to the nearest 10000.\nAnswer: 1440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/27*21\/28*352\/(-132).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u + 37. Let j be p(7). Solve -j*i + 6*i = 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 156 or -13248?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 75\/2 of a gram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 812226?\nAnswer: 2, 3, 17, 7963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10880 = -137*o + 103*o. What is the least common multiple of 64 and o?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 1:19 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 12 - (-20 - (8 - 32)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 806032052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 6. What is the remainder when ((-10)\/6)\/(2\/(-54)) is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -1\/1417664626?\nAnswer: -1\/1417664626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 4*o. Let a(c) = 67*c**2 + 3*c + 3. Let u(p) = -5488*p**2 - 245*p - 245. Let j(f) = 245*a(f) + 3*u(f). Give g(j(i)).\nAnswer: -196*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 c when two letters picked without replacement from {f: 2, c: 3, p: 1, r: 1, z: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 0.796?\nAnswer: 4.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**5\/g**(-3\/11))\/((g**(2\/7)*g)\/g*g*g)**(-21))**(-16) assuming g is positive.\nAnswer: g**(-9376\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 18, 36, 60, 90?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbk when four letters picked without replacement from {f: 1, b: 4, v: 1, k: 3, s: 2, c: 4}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1216 and 192?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-12 + 447\/9)*3\/70 and 8\/205?\nAnswer: 2870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 768, 1536, 2294, 3036, 3756, 4448, 5106?\nAnswer: 5724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*k - 15 = 136*k + 2*n, 6 = -2*k - 9*n for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 0)*14\/70*-35. Which is smaller: k or 31\/5?\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times -119?\nAnswer: -1428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4))\/((-5)\/10). Let w = 619272\/3667 + 65\/3667. Let p = -169 + w. Which is smaller: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48.6465 - 0.0465. Let f = i + -48.5767. What is f rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/1975?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbttbtttttbbbbtb. Give prob of sequence tbbt.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 7:41 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 33566?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h - 5. Let o = 14 + -7. Suppose -o*m + 28 = -364. Let b(j) = 26*j - m*j - 2 + 27*j. What is 5*b(g) - 2*f(g)?\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -15*z - 10. Let d(t) = -18*t - 15. Let q(x) = 4*d(x) - 6*m(x). Let s(p) be the first derivative of -5*p**3\/3 - 1. Determine s(q(i)).\nAnswer: -1620*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 5*y - 1. Let m be z(1). Suppose 3*s = -9, -m*q - s = -0*s - 293. Let c = 151 - q. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4044, -1, -114 in increasing order.\nAnswer: -114, -1, 4044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - 27*w**2 + 88*w - 1080. What is t(13)?\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, y: 7, s: 2, g: 3, e: 4}. What is prob of sequence yfe?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**14\/t*t\/(t\/(t*t*(t**(1\/8)*t)\/t)*t))\/(t*t**(-9)*t**(1\/7)\/t) assuming t is positive.\nAnswer: t**(1287\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -4*r + 29 + 23, -2*r + 18 = p. What is the smallest common multiple of p and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 - 2158*f - 84720.\nAnswer: -(f + 40)*(f + 2118)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -49*(-2 - 33\/(-18)). Let g = o - 527\/66. Let l = -4 + 3.5. Put g, 5, l in decreasing order.\nAnswer: 5, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 6*g**2 - 37*g - 184. Calculate the least common multiple of s(-4) and 28.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*l + 1939 = -871, x - 1409 = 3*l. Let n be 4\/10 + x\/(-55). Let j = n + 35. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 14*c + 15. Let x be p(-15). Suppose 2*t + 6 - 16 = x. Solve 0*r - t*i = -r + 15, -6 = 2*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.689 + -9.689. What is the fifth smallest value in 0, -0.1, 0.01, 6, u?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/2073 and -16\/412527.\nAnswer: 412527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + l + 9. Let p(k) = 4*k**2 + 3*k + 7. Let v(b) = -7*b**2 - 4*b - 4. Let j(o) = 3*p(o) + 2*v(o). What is 5*j(f) - 7*w(f)?\nAnswer: -3*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 2337?\nAnswer: -2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 6*t + 3. Let y be v(6). Let p = -277\/5 - -56. Which is the nearest to y? (a) 3\/4 (b) p (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from {q: 5, a: 11}?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((40260\/(-61))\/(-66))\/(16\/56)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 2*l. Let k(s) = -6*s**2 + 5*s. Let v be 0 - 2 - (6 - 5). Let g(x) = -x**3 - 3*x**2 - 4. Let h be g(v). Determine h*k(q) - 11*f(q).\nAnswer: 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 5, -818, 1, 6.53, 4?\nAnswer: 6.53","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-3 - 9) - (27 + -2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 15*j**2 + 9*j + j**2 - 2*j + 15 + 0*j**2. Let k be a(-6). Factor -549*t - 3*t**2 + k*t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 11598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 105271 is divided by 15026.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -547\/15 - -104\/3. Let p = -0.07 - 0.03. Do q and p have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -7066\/7, -0.5, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 4\/5 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 2. Let m be a(0). Suppose 4*v - 46 = m*v. Suppose -p = -3*p + 86. What is the remainder when p is divided by v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**5 + 152*j**4 - 4*j**3 + 2434*j - 2.\nAnswer: 20*j**3 + 1824*j**2 - 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*(3 - 7). Suppose -u*d - 72 = -3*q, 4*d + 9*q - 4*q = -188. Let b = 293\/7 + d. Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (-34 + 34 - (0 - 8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -110.27 + 111. Let d = l - 0.83. Let s be (3\/(-8))\/((5\/2)\/(-5)). Which is the nearest to d? (a) -2\/5 (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 7*m**2 + 7*m - 3. Suppose i - 6*i + 37 = -4*v, -2*i + 2*v + 16 = 0. Suppose 11 = g - 5*c, -g + 10 = c - i*c. Determine o(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 323083*i**2 + 288999*i**2 - 1136202*i**2 - 969189*i**2.\nAnswer: -1493309*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from {k: 4, g: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1164*a**4 - 424*a**2 - 419*a**2 - 418*a**2 + 1261*a**2 + 55 - 19*a wrt a?\nAnswer: -13968*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swbwewsbwwsbbbb. Give prob of picking 1 e and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001203 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -437731.8238 to the nearest 10.\nAnswer: -437730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/3 + 13*x**2\/3 - 14*x\/3.\nAnswer: x*(x - 1)*(x + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbjo. What is prob of picking 1 o and 2 b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {e: 1, y: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 2*n - 3*n)*(3*n**3 + 2*n**4 - 3*n**3 + (n**3 - 2*n**3 - n**3)*(3*n - 3 + 3)).\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2. Suppose 4*t = -0*t - 4*p - 20, 3*p = t - 15. Let q(l) be the second derivative of 0*l**3 - 3*l + t + 0*l**2 + 1\/3*l**4. What is q(n(z))?\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - k - 336 = 0, 5*k = -3*n + 137 + 115. What is the highest common factor of n and 7448?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 7*u**2 + 7*u - 3. Let s be d(6). Let w(r) = 3*r**s + 498 - 4*r**2 - r**3 - 501. What is w(3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -3. Let l(i) = -i**2 - 23*i - 106. Let k be l(-13). Let a(q) = -k - n*q + 24. Let m(x) = 9*x. What is a(m(y))?\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*x - 72*x**2 - 43*x**2 + 58*x + 67*x - 193*x + 19*x**2.\nAnswer: -96*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -723 - -802. What is the remainder when v is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -900301082877591 - 0.5.\nAnswer: -900301082877591.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 11:54 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m + 15. Let h be x(7). What is the highest common factor of h and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rkxeeeeeoeieeexrkeo. Give prob of sequence xi.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -1\/2 (c) -94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -h - 5*b, h + 3*b + 4 = -8. Let q be ((-3)\/h - 4) + 3. Sort -2\/9, -1, q, -6\/7 in increasing order.\nAnswer: -1, -6\/7, -2\/9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1)\/((-4)\/11)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q - 2. Let a(p) = 7*p + 1. Let h(g) = -5*a(g) - 4*d(g). Let l be h(1). Let r(s) = s**2 + 3*s - 4. Let f be r(l). Is f less than -2\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 109 + -57. Suppose 0 = -2*r + i - 30. What is the least common multiple of 1 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3)\/w**(-4)*(w**(-1\/6)\/w)\/w**(-1))\/(w\/w**3*w**(8\/5)\/w)**(5\/7) assuming w is positive.\nAnswer: w**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 4*h**2 + h - 3. Let p be t(4). Suppose 27 = 4*v - p. What is the remainder when ((-120)\/14)\/((-1635)\/3815) is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -24 (b) 244\/13 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*x - 150 = -b, 16*b - 20*b + 36 = 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*g**2 + 125*g + 34*g**2 + 630 - 5*g**2 - 7*g**2.\nAnswer: 5*(g + 7)*(g + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhnnhhdtdntfdfdtndf. What is prob of sequence ndf?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76.9 + 76.8. What is the closest to y in -2, -3, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3306, -6279, -9194, -12051, -14850, -17591, -20274?\n\"Answer: 29*q**2 - 3060*q - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8778 and 1540?\nAnswer: 10318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)*-2 + 0 + sqrt(19) + -1.\nAnswer: -3*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 3*a + 28 - 19, 3*a = 2*n - 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -149 - -179. Suppose 0 = -n + 7*n - a. Solve -n*y - 2 = -4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 646*v**2 + 492273*v - 492273*v.\nAnswer: -646*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, -97, -319, -629, -1027?\nAnswer: -1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + u**2. Let d(y) = 2*y**3 + 4*y**2 - 1. Let m(q) = -d(q) + 4*l(q). Let o(x) = x**2 + 1. Determine -m(a) - 2*o(a).\nAnswer: -2*a**3 - 2*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 133 in -0.4, 2\/2189, -612?\nAnswer: 2\/2189","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -16. Calculate the remainder when 63 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/4)*q*q**(-6)\/q*q*q*q**(-3)*q*(q*q**(-3)*q)\/q*q)\/((q*q**(-1\/2)\/q)**24*(q\/q**(2\/5))**(3\/4)) assuming q is positive.\nAnswer: q**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - -14. Let v = h - 27.8. What is the nearest to 0.1 in -0.4, v, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + -3 - sqrt(171))*3 - (sqrt(171) - (1 + sqrt(171) + -4)))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4202355292 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -306071, -306060, -306049, -306038?\nAnswer: -306027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**0\/b)**(-39)\/(b**1\/b*b**(2\/15)*b))**20)**(-2\/9) assuming b is positive.\nAnswer: b**(-4544\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 500 - 726.9. Let x = a + 227. Which is smaller: -550 or x?\nAnswer: -550","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = -0. Let t be 2\/q*(19 + -1). Solve 4*y + 2*n - t = -0*y, 2*y - 3*n = -10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 6*a**2 + 7*a + 5. Let l be t(-4). Let u be 0 + (-1 + -12 - -1). Is (l\/u)\/(2\/(-96)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/36)\/((-5)\/2). Are 1 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270*d**3 + 9*d + 217*d**3 - 731*d**3 - 9*d + 249*d**3 + 0*d.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 times -5?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.509799ns to milliseconds.\nAnswer: 0.000006509799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 18 - 1 = f, -3*f - j = -3. Let a be (-6)\/14 + f + 9\/21. Suppose 0 = -a*r - 480 + 2054. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 17. Let s be b(-12). Suppose -5*v + 19735 = -4*f, 15767 = 4*v + s*f - 4*f. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-4))\/((-2)\/(-8)). Suppose -3*g + 334 = 2*h - 5*g, -4*h + 2*g = -666. Suppose -15*d - h = -256. Solve 0 = s*q - 0*q - d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 - 10?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*d = 17, 2*u + 3*d = -3*u. Suppose -2*z = -u - 3. Factor -5*i**3 + 0*i**2 + 4*i**2 - 4 + 9*i**z - 4*i.\nAnswer: 4*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 + (-1)\/(-36). Let q = 4 - 2. Suppose 5*w + 4*x - 13 = 12, q*w + 2*x = 12. Which is smaller: k or w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759063233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16623383, -33246758, -49870133, -66493508, -83116883, -99740258?\nAnswer: -116363633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29, -28, -29, -32?\n\"Answer: -w**2 + 4*w - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjdtkjoadakddk. What is prob of picking 1 t, 1 k, and 2 d?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 6 = z. Let s = 1 - 1. Put s, z, -3 in decreasing order.\nAnswer: s, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006166 to five decimal places.\nAnswer: 0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + -3. Let p = x - -49\/3. Let m = -26 - -24. Which is the nearest to p? (a) -3 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wririwwwiiwwwwi. What is prob of picking 1 r and 2 w?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -788 + 789. Which is the smallest value? (a) 3 (b) y (c) 5\/3 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -388*t**3*y**2 + 36*t**3 + 2*t**2*y**2 + 1308*t*y**2 + 26*t wrt t?\nAnswer: -2328*t*y**2 + 216*t + 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**8\/28 + f**5\/30 - 61*f**4\/8 + 144*f**2. Find the second derivative of p(q) wrt q.\nAnswer: -240*q**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 397900\/27 - 14737. What is the closest to -0.3 in -1, 4, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-190)\/(31160\/(-20746))*8\/22?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5488, 10979, 16476, 21979?\nAnswer: 27488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uul when three letters picked without replacement from {c: 2, l: 9, u: 2}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 16a (base 15) to base 5\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.25 - -0.75. Does v = -0.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + n + 4 - 4*n + n + n + (0*n - 4*n + 6*n)*(-4 + 1 + 1) + n + 2 - 2 - 2*n + n - n + (1 - n - 1)*(-2 + 4 + 1) - 6*n + 4*n + 0*n.\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 2879598*q - 2879598*q - 442.\nAnswer: -2*q**2 - 442","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*u - 488 = 0, 5*f - 626 = -3*u + 182. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -16*i - 4. Is b(-3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 113*w**5 + 429*w**2 wrt w?\nAnswer: 6780*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**0)\/z)\/z)**(-5\/3)\/(z**(-7\/4)*z**6*z)*(z**(-1\/2))**(7\/6)\/((z\/z**(2\/7))\/((z\/(z*((z**(7\/2)*z)\/z)\/z)*z)\/z)) assuming z is positive.\nAnswer: z**(-190\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 969 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0\/2 + (-20687)\/2466 and 15\/34.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9189716 divided by -4\nAnswer: -2297429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 - -10681?\nAnswer: 10680.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 432310 less than 225.8083?\nAnswer: -432084.1917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032020212 (base 4) in base 11?\nAnswer: 1a94a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 9*h + 8. Suppose 10 = -152*z + 154*z. Suppose 2*n + z*r = r + 30, r = -5*n + 48. What is s(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1575*d - 1569*d - 24 = 0. Sort d, 3, 37.\nAnswer: 3, d, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 8*a + 10. Let f be z(-7). Suppose -5*q = -o - 16, f*o + q - 3 = -q. Let x be 0\/(1 - 1 - o). Sort x, -0.5, -1\/5 in descending order.\nAnswer: x, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 5*o**2 - 7*o - 5. Suppose 0 = -12*i + 23*i + 44. Calculate v(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*d + 679 = 1939 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -14*p**2 - 19*p - 9. Let o(h) = 43*h**2 + 56*h + 27. Let f(w) = -17*g(w) - 6*o(w). Let u(r) = 5*r**2 + 3*r + 2. Determine 2*f(a) + 9*u(a).\nAnswer: 5*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -532 + 532. Suppose x = -24*g + 18597 - 2901. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -323 - -309. Let d(p) = -16*p**2 + 7*p - 7. Let w(y) = 5*y**2 - 2*y + 2. Determine z*w(x) - 4*d(x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 5, k: 7}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u. Let y(r) = -2*r + 224. Determine y(p(o)).\nAnswer: 8*o + 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -31188410 divided by 5335?\nAnswer: -5846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3700*m - 14627. Give k(4).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**4\/5 - 873*j**3\/5 + 16632*j**2 - 2603664*j\/5.\nAnswer: 3*j*(j - 123)*(j - 84)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4876.459 millennia?\nAnswer: 48764.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5662153 and 11?\nAnswer: 62283683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 47295.53 * -0.05\nAnswer: -2364.7765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 4554.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -185 + 191. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549898572 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -6 - (56 + 38 + -97).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 41*k + 12. Let u(p) = -27*p - 7. Let g(j) = 5*q(j) + 8*u(j). Let t(f) = -10*f + 3. What is -3*g(c) + 4*t(c)?\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 54723 divided by 37\nAnswer: 1479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**5\/5 + 168*d**4\/5 - 202*d**3\/5 - 552*d**2 - 680*d = 0. Calculate d.\nAnswer: -85, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a minute in milliseconds?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00088894538 rounded to seven dps?\nAnswer: 0.0008889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*32\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5576 and 22100?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7719 (base 12) to base 15\nAnswer: -3d50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 9:33 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of k**2 + 0*k**2 + 3 - 9. Let f(b) = b**2 - 4*b + 4. Let x(o) = 5*o - 5. Let m(a) = -5*f(a) - 4*x(a). Calculate z(m(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of 743*r**5\/5 + r**4\/2 + 2*r**3\/3 - 19*r**2\/2 + 97*r + 6488. What is the second derivative of q(v) wrt v?\nAnswer: 8916*v**2 + 12*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 1:30 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 40*a**2*p**3 - 954*a**2*p + 1311*a**2 - 2*p**3 - 14574023*p**2 - 2*p - 1 wrt a?\nAnswer: 80*a*p**3 - 1908*a*p + 2622*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-7) - 46\/14. Let b be -4 + (-9)\/z - 2. Is (b*5)\/(-3) + -3 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/20854112 and -39\/13033820?\nAnswer: 104270560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -978840 divided by -6?\nAnswer: 163140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252229609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*h + 2*h**5 - 11*h + (19*h + 21*h + 5*h)*(-6*h**4 + 4*h**4 + 3*h**4) - h**5 - h**5 + h**5.\nAnswer: 46*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 8*g - 14. Let k be y(10). Is (-16)\/(-24) - (-332)\/k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 47*k - 2039. Determine z(-28).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 35*a - 118. Let y be g(3). Let c be y\/(-91) + (-9567602)\/14. Round c to the nearest ten thousand.\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjy when three letters picked without replacement from {y: 2, u: 11, j: 1}.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3476661827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1046 - 0.0046. Suppose -3*m - 12 = -3*q, -m - 4 = -3*m - 2*q. What is the third smallest value in m, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -321*i**3 + 3*i**2 - 4*i + 733.\nAnswer: -1926*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 - 34\/8. Let v(a) = a + 5. Let k be v(11). Let b = k + n. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4033aa (base 11) to base 7.\nAnswer: -5341124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2033450, 2033447, 2033444?\n\"Answer: -3*a + 2033453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/96 and -23\/6560.\nAnswer: 19680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 - -66. Suppose 69*b - o = 70*b. Let k(x) = 2*x**2 + 5*x + 3. Give k(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*f = 672 - 550 + 738 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5506848 (base 10) to base 12\nAnswer: 1a16a00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 4*g - 8, 0 = -27*g - 26*x + 25*x - 2 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x + 11. Let o be z(10). Let h = -15 - -21. Let k be (h + 4 - 4) + 3. What is the greatest common divisor of k and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**4\/6 + 7*t**3\/3 - 13*t**2\/2 + 147*t. What is the remainder when 49 is divided by d(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 5*t - 5*q, -5*t + 379*q = 377*q - 30 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - v - 48. Let t be (-1 - -4)\/((-9)\/v). What is the remainder when 7 is divided by 0 + (0\/t - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 18. Let i be f(-15). Solve -7 = 5*y - i*z + 9, 2*y = 3*z - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -145*o + 20091. Let t(l) = -121*l + 20091. Calculate -5*k(r) + 6*t(r).\nAnswer: -r + 20091","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - -2) + 1 + 7. Solve 0 = 3*h - t*h - 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 10 = 2*p - 4*m, 5*m = 2*p - 24. Suppose 13 = g - 0*g. Calculate the remainder when g is divided by 6\/(p - 1) + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3343.\nAnswer: 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from vkghgsjvgkss?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 3*j**2 - 5*j + 5. Let q(o) = 4*o**3 + 11*o**2 + 18*o - 18. Let i(k) = 6*q(k) + 23*w(k). Give i(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/(-1*5\/5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2. Let s(g) = 74*g + 10. Let l(w) be the first derivative of 23*w**2\/2 + 3*w - 132. Let j(y) = -20*l(y) + 6*s(y). Calculate j(o(c)).\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*y + 240 = 642 + 771 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15766 + -7171. Calculate the greatest common factor of 90 and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -11, -1 in increasing order.\nAnswer: -11, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 66*x - 17. Suppose -3*a + w + 0*w = -30, -5*w = 0. Suppose -4*j + 18 = -a. Is n(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0226004 to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 12903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -731 - -729. Which is the nearest to l? (a) -31 (b) -3\/7 (c) 2\/11 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/22 - 10258\/1012.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (41\/2 - 2)*40000. Suppose 2*g + n = -0*g. What is g rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 492 and 1435?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22, 95, 290, 667, 1286, 2207?\n\"Answer: 10*c**3 + c**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7792112094 + -0.15?\nAnswer: 7792112093.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 581?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -3 - -5) + -2 - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/2)\/((-20)\/16)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -979 times 0.5\nAnswer: -489.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1387, 37, -1\/5, -0.3.\nAnswer: -1387, -0.3, -1\/5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 - -106.2. Let m = 13\/2 - 6. What is the second smallest value in x, m, -1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 35. Calculate r(-32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - 2*g - 2*g)*(-7*g**2 + 4*g**2 - 5*g**2) to i*g**3 + t*g + a + p*g**2 and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26479 is divided by 26377.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 2*c**2 + 7*c - 9. Suppose 3*a - 7*a = -140. Suppose -4*z - 23 = -a. What is the units digit of n(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4, 4*k - 59 - 103 = 3*l. Let i be 75 + (-5 - (-3 + 1)). Let o = i - 44. What is the greatest common factor of o and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -66*t + i - 4, -t - 2*i + 2353 - 2345 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 82399158 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680616.\nAnswer: 2, 3, 23, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14259 = 8*s + 3475. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 - 2*g**2 - g. Let k(q) = -q**3 + 2*q**2 + q. Let p(y) = 3*k(y) + 2*u(y). Factor p(o).\nAnswer: o*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1919 a factor of 115405449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25894 and 363?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 8:48 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2264 + 2265 + 24*p**2 + 5*p - 4531 + 10*p to y*p + a + s*p**2 and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30100 and 892465?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 4:00 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 6:55 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 3 + 3)*(2 - 4 + 7)*(0 - 4 + 6)*(1 - 1 - 2).\nAnswer: 40*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2814?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 + 6*i. Let m be j(5). Suppose -3*x - 116 = -m*x. Calculate the remainder when x is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2156 and 24178?\nAnswer: 338492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - c. Let k(p) = -p**3 - p + 2. What is the remainder when 3 + 0 + 6 + -2 is divided by k(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 - 13*y**2 - 7*y**2 - 26 in the form l + k*y**2 + j*y and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 7134.92 hours?\nAnswer: 25685712000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2911 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -8*h - 6. Let a(u) be the third derivative of -3*u**4\/8 - 7*u**3\/6 + 7*u**2. Let f = 15 - 9. Give f*a(j) - 7*s(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5035, 10029, 15023?\n\"Answer: 4994*h + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3*k**3 - 11*k**2. Let o(g) = g**3 - 2*g**2 - 6. Let l(a) = -a**2 - 1. Let n(v) = 6*l(v) - o(v). What is -4*d(q) + 11*n(q)?\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 60*t**3 + 9*t**2 + 18. Let b(s) = s**3 - s**2 - 2. What is -36*b(r) - 4*j(r)?\nAnswer: -276*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6151.024 to the nearest 10.\nAnswer: 6150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 1730513341?\nAnswer: -1730513343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1637361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0035566 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjhljbn. What is prob of picking 1 b and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**(26\/3)*(b**0)**(1\/2)*(b**(-2\/5)*b**(-1))**(1\/47) assuming b is positive.\nAnswer: b**(-7\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from bblprhlhbdbh.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 864 by -2.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -k**2\/2 - 6*k - 16. Suppose -8*d + 3*d - 10 = 0. Let j be 0 + 1 + d + 1. Calculate g(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -52, -18, 16, 56, 108, 178, 272?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60553 - -160067. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 86877 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from fffftfaffafwfffwtffw.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, f: 2, b: 8, g: 3}. What is prob of picking 2 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -186, -1147, -3754, -8829, -17194, -29671, -47082?\n\"Answer: -137*m**3 - m**2 + m - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9, 51, 5, -2, -42, 1 in ascending order.\nAnswer: -42, -9, -2, 1, 4, 5, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1982.70671 to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i + 96. Suppose 4*w - 4 = i. Let d(u) = 3*u. Let q be d(w). Calculate the greatest common divisor of 21 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*f - 45*f. Suppose -3*r + 4*h - 83 = 172, f = -2*h + 6. Let j be 18\/r + 60\/27. Solve -5*y = -j*y - 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 1\/3*h**3 - 1 - 7\/2*h**2 - 4*h. Let y be l(7). Sort y, -1, -5 in descending order.\nAnswer: -1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 62822232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*c - 0*c. Suppose -o - 2*i = -9 + c, 5*i + 24 = 4*o. Let j(t) = 9*t - 5. List the prime factors of j(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 9*d - 1. Suppose r = -2*r + 72. Suppose -4*g = 0, -i - 2*i = g - r. What is the units digit of u(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 10*b - 19. Let s be y(8). What are the prime factors of (2 - 12\/10)\/(s\/(-90))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4793*z**2 - 9899*z**2 + 5112*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 - c**2 + c - 1. Let n(g) = 2*g - 6. Let x be n(9). Suppose 6 = -x*k + 18*k. What is a(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2 - 112836*c + 1591495362 = 0. What is c?\nAnswer: 28209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 7. Put 8, -2\/5, k in descending order.\nAnswer: 8, -2\/5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135, -241, -325, -387, -427, -445, -441?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -156522, -313044, -469566, -626088?\n\"Answer: -156522*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 7*c + 65. Let a be w(-11). Let u be 4\/a - 2\/30. What is the second smallest value in -1\/4, u, 3, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/((l\/(l**10\/l))\/l)))\/l*l*l*l)\/(l*l**9))**(-8\/7)\/((l*l**(-1\/5))**(-8\/5))**(-7\/8) assuming l is positive.\nAnswer: l**(3204\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*u + 578*u + 736*u + 643*u to the form j + s*u and give s.\nAnswer: 2017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*y = -2*l + 49*y + 2935, -4*y + 5880 = 4*l. What are the prime factors of l?\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v - 6 = 12 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648) + 4*sqrt(648)*-2 + (sqrt(648) - -6*sqrt(648)*-2 - sqrt(648)))\/((sqrt(576)*-2*-3 - sqrt(576))*-5).\nAnswer: 57*sqrt(2)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.665 - -42.165. Is y at least -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + -76. Suppose -3*u = g + 4*g + 4, -3*g = -5*u + d. Does 11 divide (-176)\/4*(-1 + (-2)\/u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/966 and -19\/4.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -61*f**2 - 8*f + 475?\nAnswer: -122*f - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/7, 0.2, -13, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**5\/25 + 3*a**4\/20 - a**3\/15 - 3*a**2\/10 + 2*a\/5 - 76. Factor p(o).\nAnswer: -(o - 2)*(o - 1)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(96)\/(sqrt(32)\/sqrt(4))) + sqrt(49)\/(-1*sqrt(1008)).\nAnswer: 11*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 492 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -0.3. Let k = -164 + 165. What is the second biggest value in 2\/9, o, k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11249\/8 + 146361\/104. Find the common denominator of d and -1 + 0 + (-163)\/(-117).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 123 + -69. Calculate the lowest common multiple of i and 8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 46702.45 kilometers?\nAnswer: 46702450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 16\/24*(2 + 1). Factor -2*m**3 + s*m + 0 - 11 + 9 + 2*m**2.\nAnswer: -2*(m - 1)**2*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 34627452 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1 = 4. Let s = 37\/66 + -2\/33. What is the nearest to x in -2, s, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18653948837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -5, -21, -55, -113?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 46 - 7. Solve -q + b = -b - s, 0 = 2*q + 4*b + 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-6)*96\/32.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 greater than -3214\/285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -793 (base 12) to base 16\nAnswer: -45f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2. Let d be -3 - 5\/(15\/(-1086)). Let b(m) = d - 359 - 14*m. Calculate b(s(c)).\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1066*p - 448*p - 3028 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 102.4 and -46 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1469 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 369.23 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/21)\/((-702)\/(-189))?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 8*t - 3. Let x be (8\/14)\/((-6)\/(-105)). Let b = -15 + x. What is h(b)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 35 = 4*d - 3*f, 5 = d + 5*f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -146*c + 145*c - 13, 4*c = 2*q - 28 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3108 - -3161. Solve -4*a - 3*s + 5 = 0, 0 = -5*a + 5*s + 33 - q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 15746*s + 104. What are the prime factors of v(2)?\nAnswer: 2, 3, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30120011?\nAnswer: 30120011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 32 = -658*a + 662*a, 4*a = -5*i + 32 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 78 = 17*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423*n = 426*n. Let s(b) = -b**3 + 8*b**2 + 8*b - 11. Let z be s(8). Suppose n = -5*h + 4*c - z + 262, -5*c = 4*h - 159. What are the prime factors of h?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a factor of 471554445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3890, -8057, -12218, -16373?\n\"Answer: 3*o**2 - 4176*o + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 4:57 PM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 8 = -o. Suppose 8*s - 13*s + o = 0. Suppose 357 = 3*g + 2*w, -s*g + g = 5*w - 227. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184*t**2 - 771*t**2 + 182*t**2 - 3*t**3 + 196*t**2 + 209*t**2.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1664742 by 34.\nAnswer: 48963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lppl when four letters picked without replacement from {l: 2, d: 7, p: 7}?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4 - 240*x**3 - 6862*x**2 - 60408*x - 53784 = 0. What is x?\nAnswer: -83, -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 35 = 5*o, -2*o - 15 = -5*r + 11. Suppose -r*z + 134 = 50. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 945*h**2. Let a(u) = 1010*u - 17. What is a(g(i))?\nAnswer: 954450*i**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42 + 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 48\/(-21) - (0 - 2) - (-20)\/(-28). What is the closest to -1 in -3, p, 2\/11, -22?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 20 = -0*r - 5*z, -3*r - 3*z + 84 = 0. Solve 2*s = 2*c - r + 10, 3*c - 2*s - 25 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*d + 61. Let f(l) = l**3 - 16*l**2 + 14*l + 16. Let s be f(d). Let k = s - 0. Which is the closest to -1? (a) 0.4 (b) k (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a\/a**20)*a)**(-2)*a\/(a\/a**(-7)*a)*a\/((a*a\/a**(-23))\/a*a) assuming a is positive.\nAnswer: a**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -7*r**2 + 6*r + 3. Let y(q) be the first derivative of 62 + 0*q - 1\/3*q**3 + 1\/2*q**2. Give j(x) - 6*y(x).\nAnswer: -x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2763329*n*q**3 - n*q**2 + 461*n - 3*q**4 - 28 wrt q.\nAnswer: -16579974*n - 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/84)\/(3*6\/(-4))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*(2*(sqrt(19) - (sqrt(19) - sqrt(57)\/sqrt(3))) + sqrt(19) - (-2 + 0 + sqrt(19))))**2.\nAnswer: 128*sqrt(19) + 1276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10 (b) -0.06 (c) -5 (d) 2 (e) 0 (f) -2\/77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of c**3\/3 - 13*c**2\/2 + 7*c + 14. Does 2 divide a(14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -4. Suppose 5 = l*u - 7. Solve -5 - u = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2. Suppose -8 = -o - 3*o. Let n(k) = 3*k**o - 210 + 210. What is n(d(r))?\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.24 + -22. Let f = 0.24 - m. What is the nearest to -1\/2 in 4\/9, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**4\/7 - 6456*s**3\/7 + 2705529*s**2\/7 - 18660318*s\/7 + 15961248\/7 = 0?\nAnswer: -2512, 1, 6, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9305 or -1?\nAnswer: -9305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.21004 millennia in decades?\nAnswer: 621.004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 10*g**2 - 50*g + 1. Suppose -32 = 3*x + 106. Let j = 94 + x. What is the remainder when j is divided by l(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402 - 432 = 6*u. Let q(j) = j**2 - 15*j - 74. Let h be q(u). Calculate the highest common factor of 13 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3751613615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22927819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -4*i + 29, q = 4*i - 3*i - 11. Suppose -i*p + 459 = -231. What is p rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 105\/464 and 101\/200.\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.6 + -0.6. Let j = i - 15. Let d(x) = x**2. Let w be d(0). Which is the closest to 0? (a) w (b) 1\/4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-1))**(1\/40))**(5\/7))**(-25) assuming u is positive.\nAnswer: u**(25\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 8*f**2 - f - 1. Let p(s) = 9*s**3 + 2*s**2 - 1. Let i be p(-1). What are the prime factors of z(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*z**4 - 5*z + 19*z + 4*z**4 - 3*z**4 wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 139*i + 26 - 54 + 28 as j + k*i and give k.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012499 rounded to seven decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 7*i**2 - 8*i + 8. Calculate t(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (4 + 17 + -12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(7)*-3*4.\nAnswer: -60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 40872762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c**3*u**3 - 79*c**3*u + c*d**2*u**2 - 136*d**2*u**3 + 2*d**2 wrt u?\nAnswer: -42*c**3 - 816*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 8:43 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2729, -2777, -2815, -2837, -2837, -2809, -2747, -2645?\n\"Answer: l**3 - l**2 - 52*l - 2677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-2*(sqrt(187) - (1*sqrt(187) + sqrt(187)))*5)\/(3*sqrt(11)*-3 + sqrt(11) + sqrt(704) + sqrt(704)*2 + sqrt(704)) + 4.\nAnswer: -5*sqrt(17)\/12 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*s + 195*s - 11*s + 132*s**2.\nAnswer: 132*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 1181*j + 2488. Does 11 divide g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00018470935 rounded to five decimal places?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 10:21 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 5\/21, 319, -5, -6.5, 2\/13?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -377*w**3 + 2657*w**2\/2 + 1559*w\/2 - 246 = 0. What is w?\nAnswer: -41\/58, 3\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 352\/72 - -2 - 7\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(2\/7)*p*p*p))\/p**(-11)*(p**(-3)\/p)**38 assuming p is positive.\nAnswer: p**(-1010\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7193, -11, -3, 2, 0, -5 in descending order.\nAnswer: 2, 0, -3, -5, -11, -7193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 + 1. Let s be n(0). Suppose 0*a = -4*w + 2*a + 18, -2*w = -3*a - 3. Suppose -y + 4*d = d - w, 0 = -d - 1. Put y, 5, s in descending order.\nAnswer: 5, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 7*q + 3*q)*(4 - 7*q**2 + 19*q**2 - 10*q**2).\nAnswer: 14*q**3 + 28*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + 41. Suppose 1 = -f + 31. Suppose 3*y - v = f. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 11*s + 44. Suppose 74 + 16 = 10*m. Is 11 a factor of g(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 i, and 1 q when three letters picked without replacement from irvpvqqirrppaq?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2489*b**2 + 7383*b - 124. Determine l(-3).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**5\/120 - 41*g**4\/6 - 2423*g**2 - 2*g - 2. Find d, given that y(d) = 0.\nAnswer: 0, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -48124 and -48125 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j + 1552146 + 36132 = 3*p, -5*p - j + 2646896 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 36. Solve 4*q = -2*x - h, -3*x = 5*q + 2*x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -40, 8, 6, -5.\nAnswer: -40, -5, 5, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 < -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(833))**2*-2 - sqrt(833)) + ((1*sqrt(833) + sqrt(833))*3)**2.\nAnswer: -7*sqrt(17) + 28322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.9492 - 0.0508. Which is the nearest to -0.2? (a) r (b) 0.1 (c) -137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (117\/63)\/((-452)\/12656)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbzld. Give prob of picking 1 b and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 790370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/36)\/(19\/(-760)). Which is smaller: q or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1073 + 889. Which is greater: -185 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 0*l**2 + 5*l**2 - 6 - 7*l - 3*l**2 - l**2. Let p be s(9). List the prime factors of ((-8)\/p)\/(1\/(-18)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - 17.819102056.\nAnswer: -17.719102056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + -9. Let d be 9*(20\/z)\/(-5). Suppose 3*w + w = d*x + 184, -4*w - 3*x = -184. What are the prime factors of w?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/2*(4 - 3). Suppose z = 4*q - q + 21. Let u(f) = -f - 2. List the prime factors of u(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-858)\/30 - (-2 + 14\/10). Let l be 4074\/(-24) + (-49)\/v. Which is smaller: -170 or l?\nAnswer: -170","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + ((sqrt(66) + sqrt(66)*-1)\/sqrt(6) + sqrt(22)\/sqrt(2) + 2)**2 + 3 + 1.\nAnswer: 9 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3787 - 3780. What is the remainder when 327 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a tonne in kilograms?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -22, 11, 7, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -14*z + 9*z - 14, 0 = z - 10*f - 38 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -29*c - 9*c. Solve 5*w - c*w - 5*f = -1, -5*w + 5 = 2*f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 4*k + 164, 44 = 3*f + 4*k - 204. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n + 92*n + 800 = 10*n + 28*n for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = -9*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 536288 and 928?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**4 - 4*l + 30. Let u(j) = -j**4 - j - 1. Let v be 6*(-5)\/((-15)\/(-2)). Let c(q) = v*u(q) + y(q). Find the first derivative of c(r) wrt r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51161726 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 7:27 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 4. Suppose 5*o + 20 = d, 6*y - 9*y - 4*o - 4 = 0. Let t be (4 - 1 - 3) + y\/4. Which is bigger: t or 4\/41?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179727 is divided by 239?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 3*x - 26, -5*b - 23 - 19 = -x. Let z(h) = 6*h + 27. Let v(j) = -2*j - 9. Let o(i) = -11*v(i) - 4*z(i). Is o(b) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/3*36\/(-450).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 410, 586, 762?\nAnswer: 938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-8)*((-4)\/2)\/(156\/26).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvzjjvsjjzzjjjjjzjj. What is prob of picking 1 j and 1 v?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 7:15 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -25*d**4\/4 - 4845*d**3\/4 + 991*d**2\/4 + 4065*d\/4 - 873\/2 = 0.\nAnswer: -194, -1, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1565550 and 3834.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81837605 and 15505.\nAnswer: 2215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*1395\/3060*((-12)\/(-1))\/(-3)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvaaava. Give prob of sequence aaa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -12 + -3 + 5 + 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5254 = 7*x + 612. Does 18 divide x\/(-3) - (-5)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2233 and 27461.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**4\/3 + 928*t**3\/3 + 5464*t**2\/3 - 1869920*t + 48722700 = 0.\nAnswer: -155, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 438 and 27342.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -0.0815636837819.\nAnswer: -4.0815636837819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(-4) - (-9636)\/48 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5505 is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/8 in -4, -0.2, 4, -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1549540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - 5\/(-2). Let b(y) = -y + y + t*y. Let z(i) be the first derivative of -i**2 + 2. Determine b(z(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -200?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/54 and 1\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1689*n - 1684*n = 3*x + 50, 225 = -15*x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2 + 392*u**2 + 4.\nAnswer: 392*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -4 (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 - 12 - 3)*(2 + 2 - 3)*(-4*n**4 + 10*n**2 - 10*n**2).\nAnswer: -92*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 7:06 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 8*s + 6. Suppose -2*v = -8 - 8. What are the prime factors of c(v)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5149759038 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-39\/7)\/(b\/b**25))\/((b\/(b*b\/(b\/(b\/b**(-2\/49)))*b))\/(b*b*b*b**(30\/7))) assuming b is positive.\nAnswer: b**(1360\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p**3 + 38*p**2 + 12*p + 13. Let r be s(-6). Let k(i) be the second derivative of 1\/6*i**3 + r*i + 0*i**2 + 0. Let c(g) = 26*g. Determine k(c(q)).\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwk when three letters picked without replacement from wkrkqnwkrrw?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.72 + -0.18. Let i = 3.03 + p. Let t = i - 0.12999974. What is t rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*j**2\/4 + 693*j\/2 + 3267\/4.\nAnswer: 3*(7*j + 33)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l + 1270. Let f(h) = -444*h + 8. Give f(n(q)).\nAnswer: 444*q - 563872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 212719\/97 + -2193. Suppose 2*k + 1 - 3 = 0. Is i bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*(3 + (6*(1*sqrt(80) - sqrt(80)) - 6*(sqrt(80) - (sqrt(80) + (2*sqrt(80) - sqrt(80)))))) + 1)**2.\nAnswer: 2880*sqrt(5) + 72144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -40\/3*s**3 + 22*s**2 + 0*s - s**4 + 45. Factor k(i).\nAnswer: -4*i*(i - 1)*(i + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 2*j = 7*j + 17, 0 = -3*o - 3*j - 15 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8024 + 447. List the prime factors of u.\nAnswer: 43, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2565286 decades to months.\nAnswer: 30.783432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwc when three letters picked without replacement from iwcxowig.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 36493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeo when three letters picked without replacement from {e: 3, o: 6, b: 3, q: 5}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 39 in -0.2, -0.4, 92, 2\/9, -1, -0.08?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -61 - -60.23. Let p = o + 0.7341. What is p rounded to three decimal places?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 h, and 1 d when three letters picked without replacement from hdxdddcnddxxcdcddhd?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103164589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79981078*n**2*t**2 - n**2 - 183*n*t - 4*n + 2*t - 5574 wrt t.\nAnswer: -159962156*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2800 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -d - 16. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 51*y**2 + 59*y - 70. Does 7 divide a(-47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 4*x - 1. Let y be c(-3). Suppose 50 = 4*f + y*b, -25 = 5*b - 0*b. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-24)\/g**9*g**(-9)*g**27\/g assuming g is positive.\nAnswer: g**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1.392 (b) 4 (c) -2\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6651601 - -0.6655. What is s rounded to five dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5 = -0. Let f = r + 13. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 55 and -3870.\nAnswer: -3815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, a: 2, f: 7}. What is prob of sequence ffaf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 649109274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(9) - sqrt(144) - sqrt(9))\/sqrt(3) + sqrt(75)*1 - (sqrt(75) + -3 + -1))**2.\nAnswer: -320 + 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 297, 592, 887, 1182, 1477, 1772?\nAnswer: 2067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2461502*n**4 + 208*n**2 + 1487572049*n.\nAnswer: -29538024*n**2 + 416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -308, -329, -380, -473, -620, -833, -1124?\nAnswer: -1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**3 + 39*l**2 + 36*l = 0. What is l?\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x + x. Suppose o = -x*o + 10. Suppose 2*n = o*q - 44, 22 = 2*q + 4*n + 2. What is the remainder when 35 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnvv when four letters picked without replacement from nnvnnvvvnnnnv.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*x - 2*x, -88 = -2*h - 3*x. Let f = h - 39. Calculate the remainder when 1 + f + 150 - (1 + 2) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.43 - 6825789145.\nAnswer: -6825789128.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-38)\/209 - 746\/(-3498). Let c = a - 199\/1272. What is the smallest value in c, 5, 0, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -942\/13, -0.06, -10\/11, -0.3?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 16\/7 of a week?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 136743920 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -104 + 104.148. Let s = f + -0.448. Which is the nearest to -5? (a) 6\/5 (b) s (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.4452 + -32.4. Let f = z + -0.0452. Let v = 189\/979 - 1\/89. Which is the closest to v? (a) -2 (b) 1\/9 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66902826*n**4 + 87143436 wrt n.\nAnswer: -267611304*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.14 - -4.9492403.\nAnswer: 5.0892403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419790 is divided by 1578?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -4*y - 4*r + 18, 2*y - 5*r = 70. Let f = y - 18. Suppose -2*p = -f*p + 25. Solve 10 = -k + 4*b, 3*k + p*b - 21 = -0*b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2022003 + 4?\nAnswer: 2022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 1. Let w(s) be the first derivative of 1\/4*s**4 + 0*s**2 + 0*s - 2\/3*s**c + 1. What is the third derivative of w(t) wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yadpnpb. What is prob of picking 1 p and 1 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -410603 - -716044. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15642 + -11072. Is 107 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 + 1472*k**3 + 270846*k**2 - 1472*k - 270848.\nAnswer: 2*(k - 1)*(k + 1)*(k + 368)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*x = 3*u - 26, 5*x + 14 = -3*u. Let b = u + 2. Let h be 4\/(-2) - b\/(-3). Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 0*w + 4\/15*w**2 - 1\/3*w**6 + 6 + 8\/9*w**3 - 52\/75*w**5 + 17\/30*w**4. Suppose o(h) = 0. What is h?\nAnswer: -2, -2\/5, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 4 + 17 - 24)*(-4*l**2 - l**3 + 4*l**2).\nAnswer: 3*l**4 + 11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -485 + -423454?\nAnswer: -423939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(6\/4) - -530. Suppose -5*b + 2*l - 74 = -600, -h = -5*b - l. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6e2 (base 15) to base 12.\nAnswer: aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*a + a + 0*a)*(a + a**4 - a) + 47 - 25 + 68*a**5 - 21.\nAnswer: 76*a**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/13 - (-2)\/(-8). Let v = 5\/26 + f. Which is the biggest value? (a) -2\/17 (b) v (c) -2 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80\/(-28) + 3 - 198480\/(-35) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z**2 - 140 - 7*z**2 - 8*z**2 + 13*z**2 + 3*z**2)*(-13 + 3 + 5) as q*z + d + h*z**2 and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 145\/72 and -53\/12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 18*r - 36. Let y be c(20). Let l(n) be the second derivative of -8\/3*n**3 + 0 - 1\/60*n**6 - 1\/5*n**5 + 5*n - y*n**2 - n**4. Factor l(g).\nAnswer: -(g + 2)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 106*y - 315. Determine n(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1097 and -0.30848.\nAnswer: -0.19878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + 52\/(-12))*30. What is the remainder when -75*8\/48*r\/(-2) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/11 - 186*v**2\/11 + 188*v\/11.\nAnswer: -2*v*(v - 1)*(v + 94)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.37 less than -77.958649?\nAnswer: -76.588649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/8*(-672)\/56?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 132762.\nAnswer: 132760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35\/4 - -9. Let r(a) be the first derivative of 4*a + 1 + j*a**4 - 5\/3*a**3 - a**2. Calculate r(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87\/20 - 9\/10. Let w = -241 - -487. Calculate the common denominator of (-2)\/(-6) - w\/(-72) and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28579792 to the power of 1\/3, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h. Let c be z(-3). Let d be (18\/24)\/(c\/(-8)). Differentiate 0*g**4 - 4*g + 4*g + g**4 - d with respect to g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -434892782, -869785560, -1304678338, -1739571116?\nAnswer: -2174463894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*(-3)\/26*56\/42?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 11. Let s be y(-7). Factor 4*r**4 + 4*r**3 + 2*r**2 + 2 - 8*r**s + 0*r**2 + 5*r - 8*r**3 - r**5.\nAnswer: -(r - 1)*(r + 1)**3*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 515, 2778, 8919, 20876, 40587, 69990, 111023?\nAnswer: 165624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1087056 and 3504.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i + 5*i = -24. Let f(m) be the second derivative of -1\/48*m**4 + 0 + 1\/80*m**5 + 3*m + 0*m**i + 0*m**3. Factor f(g).\nAnswer: g**2*(g - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 7571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i + 11. Let b be 9\/(-4)*24\/(-9). Let n be d(b). Let r be (-48)\/(-119) - 4\/14. Is r >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2 - 2*t. Let x(y) = 8*y**2 + 6*y + 1. What is -11*w(s) - 4*x(s)?\nAnswer: s**2 - 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 2*v + 6 - 4, 0 = -o + 2*v + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 5*a**2 + 2*a - 1. Let n be 3\/1 - -1 - -1. What is the units digit of c(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 24 = 2022. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + w + 13 = 10, -3*z + 5 = -2*w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of 0 + 0*y - 1\/480*y**6 - 1\/24*y**3 - 1\/32*y**4 - 1\/80*y**5 - 4*y**2. Solve m(n) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91)\/63 + 4\/9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3103253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 0.34, -1, 15 in decreasing order.\nAnswer: 15, 1, 0.34, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1435519 divided by 1435519.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*a**2 + 647*a**5 - 646*a**5 - 3*a**2 wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*p + 7*p + 19*p + (2*p - 2 + 2)*(-3 - 1 + 2).\nAnswer: 32*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbvvxvbvzjbbbo. Give prob of sequence jvx.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 110000100?\nAnswer: -110000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 13. Suppose 0 = -2*f - 3*p + 3, -71*f + 2*p - 58 = -77*f. Calculate the lowest common multiple of t and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 24 = -9*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5*4\/(-30)*-6. Suppose 4*t - 44 = 2*u, -3*t + u = -8 - 23. Suppose -5*q - 2*v + 93 = 2*v, -q + t = -n*v. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 712*a**2*b*y + 6*a**2*b + 34412*a**2*y + a*b*y - 2*a*y - 5*b wrt b?\nAnswer: 712*a**2*y + 6*a**2 + a*y - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.63 from -0.551.\nAnswer: 1.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 4 = 3*o. Suppose -r - h = 8, 5 = 5*h - o. Suppose -18*c + 6 + 66 = 0. Put c, r, 5 in ascending order.\nAnswer: r, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13500 and 4500.\nAnswer: 13500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t**2. Let v be 40 + 4\/(-12)*0. Let r be (-2)\/6 + v\/12. Let n(u) = r - u + 0 - 3. Give n(j(p)).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 11*h - 3 = -s, -2*s + 4*h - 8 = 0. Suppose -6*y + 2*y = 4. Let c be (-2)\/(-2)*y\/(-1). Which is bigger: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 378*y - 7158. Determine v(20).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**3 + 10*a**3 - 40*a + 40*a.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2535 + 12*f**3 + 668 + 11*f**3.\nAnswer: 23*f**3 + 3203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15315 and 27567?\nAnswer: 137835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5\/(n\/(((n*n**1)\/n)\/n)*n)*(n*n*(n*n\/((n*n\/(n\/n**1*n))\/n)*n)\/n)**(-3)*((n\/(n\/(n*n**8*n)))\/n**(1\/3))**(7\/5) assuming n is positive.\nAnswer: n**(68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*u**4 + 16*u**2 + 63 + 9*u**4 - 7*u**3 - 14*u**2 wrt u?\nAnswer: 144*u - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -4*l. Let b(y) = 19*y + 13*y - 36*y + 11*y. Determine b(n(z)).\nAnswer: -28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 2*s**2 - 3*s + 3. Let f(g) = g**2 - 5*g. Let z be f(5). Suppose -y - 5 = z, o = -2*o + 4*y + 11. What is the units digit of i(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*r - 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9 - 3.9. Let f = -0.92 - -4.92. What is the third biggest value in 0.5, f, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 859, 1713, 2531, 3295, 3987, 4589?\n\"Answer: -3*l**3 + 875*l - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*j**4*r**2 - 34*j**4*r - 18*j**4*y - 5*j**2*r - 7*j**2 - 19*j*r*y - 2*r**2 - 6*r*y wrt j.\nAnswer: 912*j*r**2 - 816*j*r - 432*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181597155*j + 90798570*j + 90798532*j.\nAnswer: -53*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 8:03 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -224143475 + -3?\nAnswer: -224143478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(42\/24) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007 times -0.07?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7*(3\/(-3))\/1. Let b = -7 + k. Is b less than 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146*g**2*k**3 + 30*g**2*k + 4*g**2 + 3*g*k**3 - g*k - 243*g + k**2 - 14*k wrt g?\nAnswer: -292*k**3 + 60*k + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1717.5 times 20\nAnswer: 34350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = -2*z - 3*z. Let j(c) = -c**2 - 8*c - 6. Let q be j(-4). What is the remainder when z is divided by ((-22)\/4)\/((-5)\/q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473199 (base 14) in base 3?\nAnswer: 11120101122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6073472.537 + 4?\nAnswer: 6073476.537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*x - 249 - 321, -2*a - x = -291. Is 8 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 564*m*o**4 - 8*m*o**3 - 3*m*o + o**4 - o**2 - 719*o + 1 wrt o.\nAnswer: 13536*m*o - 48*m + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17325883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 13 + 15 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-4))\/((-34)\/(272\/33))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7674 (b) -0.1 (c) -6 (d) 1.1 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2971\/5934 - -2\/2967. Sort -2, 5, 4, g in decreasing order.\nAnswer: 5, 4, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and 1484049716078.\nAnswer: 1484049716077.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 234\/10 + 4\/(-10). Let a = -20 + x. Let v(y) = y**3 - y - 684 + 685 - 2*y**a. Calculate v(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90 + 85. What is the closest to -0.1 in 1\/9, -2, q?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9576, -9612, -9670, -9750, -9852?\n\"Answer: -11*l**2 - 3*l - 9562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 q when four letters picked without replacement from sdzqofosqsds?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -17 (b) 46 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 119017, 238033, 357055, 476083, 595117?\n\"Answer: 3*n**2 + 119007*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -39*w + 1191. Calculate the remainder when 270 is divided by t(30).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 5*v + 3*v)*(-5*v - 8*v + 4*v) + 0*v**2 + v**2 - 2*v**2 - 4 - v**2 + 4 + (v + 0*v + v)*(-4*v + v + v) + 0*v - v**2 + 0*v - v**2 + 1 - 1.\nAnswer: -71*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -1, -3\/5, -0.4, -250, -24, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27962 or 5?\nAnswer: -27962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25881 and 25881?\nAnswer: 25881","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*j = 62*j - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -20. Suppose x + 16 = 3*p - x, 4*x - 16 = b. Solve 4 = -4*w + p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 6*r**5 + r + 43. What is the first derivative of k(u) wrt u?\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12304*q = 12320*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -182*r - 1460. Let u be t(-8). What is the third smallest value in u, -63.3, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-6)*2)\/((-2)\/(-18)). Let a = 8.2 - 9. What is the third smallest value in a, 3\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x - 2*x + 0*x + (0 + 3 - 2)*(-5*x + 0*x + x) - 3*x + 4*x + x to the form j*x + h and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -485699*b - 1762382 wrt b?\nAnswer: -485699","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(27\/3)*3. Let x be (1\/(-1))\/(1 - t). Let y = -0.1 + 0.5. Sort x, -2, y.\nAnswer: -2, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((4\/(-16))\/((-6)\/(-8)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n + 5. Let d(c) = -4*c + 3. Suppose -3*l + l - 4 = 0. Let k = l + -2. Let i be 2 - (1 - 2) - (2 + k). Calculate i*d(j) - 3*b(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -102*i - 81*i + 41120 - 41120 as y*i + g and give y.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 14. Suppose -2*l + 3*w + 9 + 9 = 0, -6 = -2*l - 3*w. Let r be ((-20)\/l)\/(i\/(-9)). Solve -5*b - 3*d - 6 = 0, -r*b = 2*d - 2 + 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*m**3 - 4*m**3 + 3*m**3)*(-3*m + m + 0*m) + (3*m**3 + 5*m**3 - 3*m**3)*(-2*m - m - 2*m) as s + v*m**4 + b*m**3 + a*m**2 + t*m and give v.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46707557 divided by 13?\nAnswer: 3592889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.93 - -4.93. Let m be -4 - (-4)\/2 - -4. Is o less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14, 24, 32, 38, 42, 44, 44?\n\"Answer: -t**2 + 13*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 9:58 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 272391 and 9996.\nAnswer: 1089564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**4\/4 - 2*t**3 + 5*t**2\/2 - 15*t + 10. Let r be k(-7). Which is the nearest to 3? (a) -0.4 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-214)\/(-3) + (-2)\/(-3). Let z be -2*2\/8*0. Suppose z = -6*o + o + 45. What is the greatest common divisor of o and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -14, 1, 0, -128 in descending order.\nAnswer: 5, 1, 0, -2, -14, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -4.12\nAnswer: -7.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11*-636.05\nAnswer: 6996.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29449837 is divided by 29449799.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*w + 3 = 0. Let r be 1\/w*(-3)\/(-9). Let a = r - 4\/45. Is -1 >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 12 - 42. Suppose 0 + j = 2*i. Let r be 4 - (3 + -2 + 0). Solve -z + i = r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**2 - 2*h**2 + 24*h + 0*h**2 + 4*h**2 in the form q*h + k + l*h**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4847929.4 rounded to the nearest ten thousand?\nAnswer: 4850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 268357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*(-4 + (sqrt(1100)*-2)**2) - ((sqrt(1331) - (sqrt(1331) + 0)*-4)*6)**2).\nAnswer: -1175916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of j**4\/4 + j**2\/2 - 27*j - 4. Let i be k(0). Let h = -12 - i. Solve -3*w - 2*w = -h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/2 + ((-192)\/7308 - 6\/(-63)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -75 + 0.064\nAnswer: -74.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3 = -3*l + 27, 8 = l - 5*j. Factor 2*w**4 + 4*w - 3*w**4 + 2 - 6*w**2 + l*w**4 + w**4 - 8*w**3.\nAnswer: 2*(w - 1)**2*(2*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 34 = -8*v. Find the third derivative of 7*b**2 - v*b**2 - 9*b**2 + 32*b**5 - 15*b**2 wrt b.\nAnswer: 1920*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 0, -32, -82, -150, -236?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688256 is divided by 2549?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*i - 23*i - 59*i.\nAnswer: -191*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g - 2*g)*(-2 + 2 + g + (-1 - 3 + 3)*(2*g - 4*g - 2*g))*(4*g - 2*g - 3*g)*(-g - 2*g**2 + g).\nAnswer: -30*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 324?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 9:41 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 4. Let l be o(-4). Solve l*w + 20 = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5254 (base 8) in base 3?\nAnswer: -10202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (130 - (-74899)\/(-726)) + 13*-2?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 54, 71, 106, 165, 254, 379, 546?\nAnswer: 761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*m**2 + 4*m**2 + 2*m**2 + m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122\/15, -2, 2 in descending order.\nAnswer: 122\/15, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h**(2\/5)\/h)\/h*h)**35\/(h**(-25)\/h)**(13\/2) assuming h is positive.\nAnswer: h**183","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 18174039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 621\/33 - (-8)\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1950 and 100.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 2*d - 21. Let m = 141\/5 - 1259\/45. Calculate the common denominator of -3 + 2\/d*45 and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8464 + 17*f**3 - 182*f**2 + 4232 + 4232 - 4976*f wrt f.\nAnswer: 102*f - 364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 1:13 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-66) + (-40)\/22. Let r(h) = -h**3 - 2. What are the prime factors of r(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51206, -5, 0.\nAnswer: -5, 0, 51206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4)*(-22)\/(-33). Put y, 4, 0.1 in ascending order.\nAnswer: 0.1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 10:01 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and 7556126346.\nAnswer: 7556126344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 2:38 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**5 + 0*g**5 - 2*g**5 + (-9*g + 23*g - 13*g - 3 - g**2)*(2*g**3 + 0*g**3 - 4*g**3).\nAnswer: 4*g**5 - 2*g**4 + 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33159492 by 6891.\nAnswer: 4812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 3*k + 33, 19331*k - 19329*k + 20 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 2*l - 19962 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/25, 1\/3, 576, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2480848, 2480846, 2480844, 2480842?\nAnswer: 2480840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -401, -1687, -3823, -6803, -10621?\nAnswer: -15271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -s - 2*s + 14, -4*s + 2*w = -14. Let b = 5258 + -5255. Find n, given that -6*n**s + 1233 + 3*n**2 - 1233 + b*n = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 9:15 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 2*d**7\/5 - d**4\/24 - 171*d**3\/2 + 2*d**2 - 151*d. Find the second derivative of y(z) wrt z.\nAnswer: 1008*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -20. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17848 + 17848 - 949*h**5 + 42*h + 18*h**2 wrt h.\nAnswer: -56940*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 33. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110 + -10100110010011?\nAnswer: -10100111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) 0.4 (b) -3\/8 (c) 19 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64\/13 or 35875?\nAnswer: -64\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95637 or -2?\nAnswer: -95637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1*(((-9)\/(-5))\/(-3) + 1392\/145)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17418 by -6.\nAnswer: -2903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9\/(-1*3) + 4725\/27 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.4 (b) 41 (c) -23 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -122 + 58?\nAnswer: -ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (22 - (-8)\/(-4)) + -2. Suppose 16*i + 28 = h*i. Let c = 17 - i. Sort c, 4, 5.\nAnswer: c, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -1\/8, 0.3, -12266 in decreasing order.\nAnswer: 0.3, 1\/7, -1\/8, -12266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -7027, 5 in decreasing order.\nAnswer: 5, -16, -7027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 + 21*n**2 - 29*n - 1. Let p = -46 + 81. Calculate the remainder when t(7) is divided by p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - -2*sqrt(77)*-2)\/(-1*sqrt(11)*6) - (3*sqrt(2268)*2*-4)**2.\nAnswer: -1306368 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -17*l**4\/24 + 73*l**3\/3 - 9*l**2 + 183. Let f(b) be the second derivative of h(b). Differentiate f(y) wrt y.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289609306453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 36558.\nAnswer: 1\/18279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9254549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 5 + 0 = 0. Let s(k) = k - 1. Let t be (2 + -3)\/((-3)\/3). Let a be s(t). Put a, c, 3 in descending order.\nAnswer: 3, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 + 30 - (144 - 113)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4921 + 125.\nAnswer: -4796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 - 9. Let x = -25 + d. Let c be (0 - 6)*(-10)\/x. Solve 1 = -c*g + 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, -6 in descending order.\nAnswer: 1, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 1.5. Let p be 308\/(-5) + (-4)\/10. Let g = p - -308\/5. Which is the nearest to 0.2? (a) m (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14 or 9.8?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-10 + 11) + 2\/(-1). Is 48 a factor of (224\/2)\/(p\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.5 and 8040?\nAnswer: -28140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 293 = 2*o + 3*w, 3*w - 855 = -3*o. Let m = 193 - o. Round m to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bd when two letters picked without replacement from {o: 1, v: 1, q: 1, d: 1, b: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + -1 + (0 - 10). Sort b, 4, 61, 3 in decreasing order.\nAnswer: 61, 4, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*c - 15. Suppose 0*m = -3*m + 60. Calculate the least common multiple of c and m.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, b: 3}. Give prob of picking 3 b and 1 t.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121527 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: Evaluate (2\/3*(-60)\/(-100))\/(-1).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -155 + 153. Sort t, -1162, 0.\nAnswer: -1162, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(3\/8)\/x*x*x)\/x)\/(x\/(x\/x**2)) assuming x is positive.\nAnswer: x**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12268161 + 12268194.999884. Let z = -34 + i. Round z to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/8 (b) 3 (c) -2\/9 (d) -3 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/2 and 67\/3380.\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 - 3*p**3 + p**3)*(p - 5*p + 5*p)*(-4 - 2 + 3).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020755 to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/36)\/(((-7)\/(-6))\/(-7)) - (-1820)\/(-390)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k - 10. Let h be c(8). Let a be (-3)\/h - (-14)\/4. Suppose -a*q + 36 = q + 4*u, 5*u + 20 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67 + 68. Let k(j) = -j**2 - j + 1. Let p(s) = 3*s**2 - 3*s + 5. Let r(g) = f*p(g) + 4*k(g). Determine r(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -36, -73, -242, -609, -1240, -2201?\n\"Answer: -11*s**3 + 40*s - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 6*a**2 - 1. Let f be c(-6). Let y(u) = u**2 - 35*u + 106. Calculate the least common multiple of (-6)\/(3 - 0)*f and y(32).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9157, 8577, 8001, 7435, 6885, 6357, 5857?\n\"Answer: k**3 - 4*k**2 - 575*k + 9735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 + 89. Let t(q) = q**3 + 10*q**2 + 8*q + 6. Let n be t(-6). Let s = 1732\/17 - n. Which is the nearest to x? (a) -2 (b) s (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b - 8*b + 127 = 89. Solve b*m = -23*m - 150 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 158405\/60093 + 4 + -2. Let l = 2\/5463 + m. Calculate the common denominator of 2\/(-6) - (-58)\/66 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**4 + 2635*z**3 + 31000*z**2 + 51500*z = 0. Calculate z.\nAnswer: -515, -10, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6.3, -1\/2, 0.4, -29, -27?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11525 + -5566. What is the highest common factor of a and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 3*q + 3. Let z = -0.09 + 5.09. Let u = 4 - z. Is u >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-3\/5))*y)**(-23)*y**(1\/24)\/y*y\/(y\/y**(1\/7)))**(-6\/19) assuming y is positive.\nAnswer: y**(1663\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171226880 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 4*b - 7*g - 70, 0 = -4*b - g + 82. Suppose -4*t = -16, -4*t + b = -3*w + 4*w. Solve -w*r + 3*v + 13 = 0, 3*r - 4*v = 5*r - 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 522 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 9:23 PM?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**3 - 1. Let s be (-4)\/((-12)\/(-9)) - -4. What are the prime factors of f(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18930451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33323 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 + 3*v + 2. Let d be b(-2). Let w = -13 + d. Put w, -4, 1 in increasing order.\nAnswer: w, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/9))**(2\/31)\/(p**(-9)*p**12) assuming p is positive.\nAnswer: p**(-833\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -3*h + 1\/60*h**6 + 0*h**2 - 5\/24*h**4 + 1\/84*h**7 + 0 - 1\/6*h**3 - 3\/40*h**5. Solve v(n) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1)*(-4)\/16. Which is the third biggest value? (a) -1\/6 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-470)\/(-15) - (-4)\/(-3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3231 + 2?\nAnswer: -3223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2\/3 - 31737946*s\/3 + 31737952 = 0. What is s?\nAnswer: -15868976, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d + 2 - 2 + (2*d - d - 3*d)*(-2 - 1 + 1).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -3. Suppose -3*s = 15, -p*g + 3*s + 102 = -s. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 15*d - 48. Let a be p(-20). Differentiate 32 - 67 + a*s + 21 with respect to s.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7018 is divided by 144?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -778 - -773. Let s = -0.9 - -1. Which is the closest to s? (a) 1 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - j = 5*q + 245, 4*q + 4*j = 240. Calculate the remainder when 120 is divided by q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66645 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -10. Suppose y*d - d - 9 = 0. Suppose 4*w + 3*f - 59 = -w, d*f = 4*w - 31. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 16*g + 7. Let b(z) = 19*z + 7. Let x(j) = 5*b(j) - 6*d(j). Let r(i) = -14*i - 8. Let m(c) = -5*c - 3. Let s(a) = 8*m(a) - 3*r(a). What is s(x(y))?\nAnswer: -2*y - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-30)\/(-8) - 1\/(-4). Let 3*r**2 - 2 - r**2 + 4*r - w*r = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (170\/(-4))\/((-3)\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -22*g**3 - g + 1. Let p(i) = i. What is -3*p(r) - s(r)?\nAnswer: 22*r**3 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 14*k + 18. Solve -25 = k*v - v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000228614896 rounded to six decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**3\/7 + 25918*n**2\/7 - 543352*n\/7 - 569272\/7 = 0.\nAnswer: -1, 22, 12938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 = 7, 17 = 3*h - 4*y. Suppose -7 = -h*z - 4*z. Is 8\/7 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*p + 124*p**3 + 29*p - 61*p.\nAnswer: 124*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3615 is divided by 1202.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-34)\/(-6))\/(3\/171)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82598, -165210, -247822, -330434, -413046?\nAnswer: -495658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3154418 rounded to 3 dps?\nAnswer: 0.315","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2818 = v, 0 = -11*y + 7*y - 3*v + 11269. Does 25 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 337 + -142. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**5\/20 + p**4\/12 - 17*p**3\/6 + 52*p**2. Differentiate g(h) wrt h.\nAnswer: -6*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11642223 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 4*u + 2*u - 2*u**2 - 3*u**3 - 8*u - 2. Let k(d) = 13*d**3 + 9*d**2 + 9*d + 9. Give 2*k(b) + 9*x(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -203 + 784?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -11\/4 (b) -13 (c) -4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + (-8 - -24 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z. Suppose -3*q - 3 = -l + q, 0 = -5*l + q + 15. Suppose -22 = -3*c - 0*c + 4*u, -3*c = l*u - 15. Let i(j) = -2*j + c*j - 7*j. Determine k(i(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 6*n**2 - n + 2. Let g be l(-6). Suppose -5*s + g = 3*v - v, -2*s - 3*v = -12. Differentiate s*q**3 + q**3 + 1 + 3 with respect to q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 6*m**2 - 2*m**2 + 2*m**2 - 3*m**2 - 5 - 6*m. What is the first derivative of s(g) wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 2*u - 8, 3*x - 32 = -5*u + u. Calculate the common denominator of ((-516)\/x)\/((-3)\/2) and 7\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 0*d**4 + 0*d**2 + 0*d + 3\/5*d**5 + 11\/3*d**3 + 7. Find the third derivative of k(v) wrt v.\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -14*g**3\/3 + 9*g**2\/2 - 13. What is the second derivative of a(m) wrt m?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -9*u**3 - 2436*u**2 + 897*u + 22774. Give t(-271).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a - 2 = 4*g, 0 = -g - 2. Let f = -6 - a. Suppose 0 = -f*u - 2*u + 3400000. What is u rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(200)*-2)\/(-2*sqrt(1210) + (sqrt(360) - sqrt(40))).\nAnswer: -10*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -14*c**2 - 22*c + 20. Let n be p(-6). Let j = n + 368. What is the remainder when 318 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -16 + 4 + 2\/(-1). Let n be (-2 - b\/4)*-2. Let v be -2 + -1 - n - 0. Solve -q - 1 = -v for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*k**3*n**3*t + 11*k**3*n**3 - 193222*k**3*n**2*t**3 - 205*k**3*n**2*t**2 + 5*k**3*n**2*t + 4*k*n**3*t**3 + n wrt t.\nAnswer: -1159332*k**3*n**2 + 24*k*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, j: 1, h: 1}. What is prob of picking 1 j and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 2. Let i = -5 - -9. Let v be q(i). Suppose 3*j = -4*u + 68, -2*j + 79 = v*j + 3*u. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, -10, -4, -1 in decreasing order.\nAnswer: 7, 0, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2642216902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 43*m**2 + m + 122. Let v be p(-43). Let j be (-2 - -3*14) + 3. Suppose j + v = t. Calculate the remainder when t is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 12*n**2 - 12*n - 11. Let v be z(-11). Solve v = -l - 0*l, -2*c + 4*l = 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p - 3. Let s be k(1). Solve -5*b**3 - 6 - 16*b - 6 + 0 - 203*b**2 + 236*b**s = 0.\nAnswer: -2\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from porppoozzpozo.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8497 - -8497.0007507. What is b rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (-1)\/(5\/(-4)). Let x = 1 - 1.5. Let b = x - -1. What is the nearest to -1 in p, 0.4, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 373\/3 + -126. Let i = 75.6 + -66. Let t = 18.6 - i. Which is the third biggest value? (a) 3\/2 (b) v (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -147*i - 121. Let n(a) = -49*a - 40. Let l(x) = -4*f(x) + 11*n(x). Differentiate l(o) with respect to o.\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 88812 - -206068. Round k to the nearest ten thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 10) to base 14.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**3 - 73*p**2 - 28*p - 94. Give i(-24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/8443233 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 254\/609 - -1\/87. Put x, -2, 2\/5 in increasing order.\nAnswer: -2, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -86*m + 37. Let j be f(-4). Let t = j + -268. List the prime factors of t.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(5200) - (-5 + (sqrt(5200) - (sqrt(5200) - (-2 + sqrt(5200)))))) + 1)*5)**2*-1.\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 3*s**2 + 1 - 3*s**2 - 382*s**3 + 378*s**3.\nAnswer: -4*s**3 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 797227 to the power of 1\/2, to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**3 + 3*z**3 + 4*z**3 + (z - z**3 - z)*(2 - 2 - 2) + 3*z**3 + 13*z**3 + 19*z**3 to the form d*z**3 + y + i*z + v*z**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 161224 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: Three letters picked without replacement from dcccckkcckckkdcc. Give prob of picking 2 k and 1 d.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17994250 to the power of 1\/2, to the nearest integer?\nAnswer: 4242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150009 = 19*o - 167861. What are the prime factors of o?\nAnswer: 2, 5, 7, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - w + 157 = 0, 3*w + 323 = 3*f - 118. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y - 1\/18*y**4 + 0 + 2\/3*y**2 + 1\/9*y**3. Solve m(r) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**4 - 8254544*y**3 + 123818760*y**2 - 619094800*y + 1031825500 = 0. What is y?\nAnswer: -2063651, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/33 and 9\/(-75)*5 - (-1)\/(-9).\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2. Let h(a) = 16*a - 46*a**2 - 17*a**2 - 16*a. Determine z(h(w)).\nAnswer: 7938*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 652 and 6 + (2 - 3) + 4?\nAnswer: 5868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 3*s - 1. Let c be u(3). Let v = 7 + -3. Let a = v - c. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -82, 0, 3, -1 in ascending order.\nAnswer: -82, -5, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*b = -9 + 1, 4*b = 5*m - 24. Suppose -4*r + m = -0*r + 2*i, 0 = 4*i + 16. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lpppplbbb. What is prob of picking 2 p and 2 l?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57.83519l?\nAnswer: 57835.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 54, 80, 118, 162, 206?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0\/l)**(2\/133)*((l\/(l\/(l\/(l\/l**(-2\/7))*l)))\/l)**20)\/(l**(-1\/5)\/l**8*l**(-4)*(l\/(l\/l**3))\/l) assuming l is positive.\nAnswer: l**(2973\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -75807.18\nAnswer: 151614.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 24900*t**2\/7 - 6910*t\/7 - 24 = 0.\nAnswer: -28\/1245, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6*(-7 - 2). Let t be (-10)\/x*6\/5. What are the prime factors of 3*t\/(-24)*-104?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 103815083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/5625 and -27\/250.\nAnswer: 11250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -85*v - 4401. Give y(-53).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4 + 20 = 0. Let u be 33\/45 - 3\/(-18)*z. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -362 or -360?\nAnswer: -360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 154865 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-7) + 1 + -1. Suppose -4*i - 64 = -76. Put i, -2\/7, s in descending order.\nAnswer: i, s, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.32 - 6.49. Let r = -187.83 + 188. Let n = o + r. Which is smaller: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -194 + 824 + 16*f - 15*f to b*f + s and give s.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/294)\/(14\/(-6) - -2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 + 11*d**2 + 16*d - 16. What is the remainder when 95 is divided by n(12)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/7)\/((-1)\/14). Let l(f) = -f + 4. Determine l(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12*40\/(-420)*(-14)\/12\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 11:09 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/(sqrt(729) + 2*sqrt(729)))\/(sqrt(132)\/sqrt(192) - sqrt(11) - (1*sqrt(539) + sqrt(539))) + -3.\nAnswer: -3 - 4*sqrt(5)\/1593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + x. Let q(s) = -5*s**3 - 3*s - 5. Calculate 3*c(k) + q(k).\nAnswer: -2*k**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - 6)\/(0 + -1). Suppose 5*r - 21 = 2*h + 2*h, -r + y*h + 9 = 0. Calculate the common denominator of (29\/(-4))\/(5 - r) and 49\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in -39, 1, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 5, -2.678, -5\/4, -2\/7 in descending order.\nAnswer: 14, 5, -2\/7, -5\/4, -2.678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*y**3 + 196*y + 81*y**3 - 196*y)*(0*y**2 - y**2 + 0*y**2).\nAnswer: -128*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/2 - 117*p\/2.\nAnswer: 3*p*(p - 39)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 3*p**2 + 3*p + 1. Suppose 7 = r - 3. Suppose 0 = 4*t + 2*q - r, 2*t + t - 6 = -3*q. Let n(u) = 2*u**2 + 2*u. Determine t*n(a) - 2*f(a).\nAnswer: 2*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -470 + 285. Let t = -162 - i. Calculate the least common multiple of 8 and t.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 7 = -c - 4*c, c = 2*a - 5. Suppose c*g + 111 = 303. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 17*k + 2. What is j(9)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6935*v = 127987 + 117514 + 18029 for v.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3722 a factor of 30155644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73, -5, 84 in increasing order.\nAnswer: -5, 73, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 17 + 436*s - 39 + 10 - 124*s.\nAnswer: 312*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -19*m + 2. Let s(x) = x + 1. Determine i(y) - 3*s(y).\nAnswer: -22*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(120\/590)*8\/12*3\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34.8 + 48. Let l = -9.2 + j. Let f = -0.6 - -1. Put l, f, 3 in ascending order.\nAnswer: f, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 26, 1\/3, 5 in ascending order.\nAnswer: 1\/3, 2\/5, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17 and -0.14.\nAnswer: -17.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -531085 at most -531120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence su when two letters picked without replacement from eessssseseesrusrstrs?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 3. Let v be s(-8). Let u be (-4 + 1)\/(-1) - v. Solve 4*o + 0*o - u = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -13*d - 56. Let b(r) = r**2 + 9*r + 13. Let k be b(d). Suppose 3*l + 2 = 8. Solve -z = -4*i + 6, -l*z - 3 - 3 = -k*i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -605, -616, -651, -722, -841?\n\"Answer: -2*l**3 + 3*l - 606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**3 + 489 + 2*y**2 - 5*y - 2*y**4 - 489 in the form i*y**4 + o*y + a*y**3 + g + j*y**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.119 * -0.2\nAnswer: 0.0238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y - 15. Let g be w(5). Suppose 4*o = -m + 13, 3*m = 3*o - g*m - 6. Which is smaller: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 6. Let l(s) = s**2 - 10*s + 15. Let b be l(8). Put b, 1, -51, r in ascending order.\nAnswer: -51, r, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 9*c - 2*c + 8 - 8 + 8*c - 3 + 3 + c + (-5 + 0 + 2)*(c + c - 3*c))*(-5 + 2 - 1).\nAnswer: -76*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -14. Let i = r - 2. Is (-62)\/(-5 - -3) + i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/14 (b) 0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from eeexerexxrxex?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z + 1. Let n(d) = d**2 + 13*d + 4. Let s(t) = 9*l(t) - 2*n(t). Let w be (-1)\/(2\/4*-2). Suppose -5*y - 13 - w = -v, 0 = 4*v - 2*y - 2. What is s(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 less than -214.46?\nAnswer: -169.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-21)*54\/(-63)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-seven quarters of a kilogram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 15. Let h be o(13). Let w(b) = -1 - 1 - 3*b - b + 3*b + b**h. Let r be w(-2). Solve -r = 5*a + 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28937000 and 39788375.\nAnswer: 318307000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3\/10)\/j)\/j)\/j*j)**(-41)\/((j*j**(-2\/61))\/(j*j**(22\/7)*j)) assuming j is positive.\nAnswer: j**(420491\/4270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((4 - 4) + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.68659 greater than or equal to -28\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 4*i - 66642, -j = 4*i - 10631 - 22682. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/2 + 3685970*i + 6793187420450.\nAnswer: (i + 3685970)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -15.7. Let t be (-3996)\/8806 + (-6)\/51. Put t, -10\/7, b in ascending order.\nAnswer: -10\/7, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -10, -7, 5, -5.\nAnswer: -10, -7, -5, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -202 + 840*t**2 - 844*t**2 - t**3 + 429*t - 429*t in the form v*t**2 + y*t**3 + n + b*t and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhthhhuh. What is prob of sequence uh?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4\/5 + 60641598*o**3\/5 - 122580125728104*o**2 + 2064849551276556126368*o\/5 - 6194543137725647937408\/5 = 0. What is o?\nAnswer: 3, 10106932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -14 + 14*r**2 + 4*r**2 - 384*r**3 + 385*r**3 - 28*r. What is the units digit of t(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -441, -272, 539, 1998, 4111?\n\"Answer: g**3 + 315*g**2 - 783*g + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -5*c**2 + 3720*c = 0?\nAnswer: 0, 744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 309318 and 6652?\nAnswer: 618636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2016 = -6*u + 10*u. Suppose 54*o + u = 62*o. What is the lowest common multiple of o and 21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 344, -3.\nAnswer: -3, -2, 3, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 448 + -814. Is 12 a factor of g\/(-12) - (-1)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -3.01. Let u = 5.178 + -7.178. Let q be (-10)\/4 - (-2 + -5 + 3). What is the second biggest value in i, q, u, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1723254, -1723253, -1723252?\nAnswer: -1723251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n - 3. Let m(a) = 5*a - 21. Let p(f) = m(f) - 3*t(f). Give p(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3847919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.005 and 278.\nAnswer: -279.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39*c**3 - 3*c**2 + 2*c - 39*c**3 - 2*c**2 - 10*c**4 wrt c.\nAnswer: -240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**6\/360 - 167*t**5\/60 - 861*t**4 + 10584*t**3 - 9493*t**2. Suppose x(r) = 0. Calculate r.\nAnswer: -252, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-15))\/((-4)\/90) + -1. Calculate the highest common factor of 133 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46743.\nAnswer: 3, 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 6:50 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*y + 4*z - 6*z, -1 = y + 5*z. Suppose 4*n = n - 3*p + 27, -y*p = -3*n + 13. Let w = -43 - -61. What is the remainder when w is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (14 - (-9 + 15)) - (-1 + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k**2*z + 39*k**2 - k*z**2 + k + 5*z**2 wrt z?\nAnswer: k**2 - 2*k*z + 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 0. Suppose -2*x + 15 = n, r*x - x + 5*n = 30. Find the second derivative of w**4 - w**4 + 2*w + w**x wrt w.\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**3 - 3*q**2 + 3*q + 10. Let l(w) = 11*w**3 - 10*w**2 + 10*w + 29. Let u(p) = 3*l(p) - 8*x(p). Let v = 0 + 5. Does 6 divide u(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45413?\nAnswer: 45413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/2 (b) -0.05 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012550175 rounded to six dps?\nAnswer: 0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v - 9. Let s be o(6). Let d = 32 - s. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -241\/5. Let i = 1.06 - 1. Which is smaller: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/13772184 and -25\/296176?\nAnswer: 27544368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4)\/(48\/(-32))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + g + 8. Suppose 4*u - 9 = t + 4*t, 2*t + 5 = 3*u. Is u - 62*-1 - g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*w = -25, 5*d - 2 = 5*w + 63. What is the smallest common multiple of ((-35)\/d)\/(1\/(-2)) and 0 - (-3 + (0 - -2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/71402 and -49\/839800.\nAnswer: 1577984200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4369\/8 less than -1\/338?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/590922 and -37\/5022.\nAnswer: 1772766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -20500 to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -8. What are the prime factors of 9 - ((c - -3) + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 7*j**3\/6 + 177*j**2\/2 + 4*j - 32. Let v be u(-23). Solve -13*l + 21*l + v = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -9*l - 184. Let q = 189 - l. Calculate the remainder when q is divided by 49.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10680000 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -5*p + 53300, -45*u = -4*p - 48*u + 42640. What are the prime factors of p?\nAnswer: 2, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*s + 9. Let d be s\/(2\/1 + -3). Suppose -2*w + 14 = -d*i, -25 = w - 5*w + 3*i. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 61 - 39. Let y be 2\/11 + (-4)\/22. Suppose -b = -d - y. What is the greatest common factor of d and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(12\/11))**(-8)*(j**(2\/35))**(-37) assuming j is positive.\nAnswer: j**(-4174\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/12*(-73788)\/8. Let d = j + -781. Find the common denominator of -179\/30 and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 0.1, -2\/47, -0.3, 5\/3, 6, 12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4070500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2158 + -1.8.\nAnswer: 2156.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 v when three letters picked without replacement from {k: 2, v: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*i - 3*i - 120 = 0, 4*i + 117 = 3*w. Let g = w + -37. What is the tens digit of -1 + g\/((-24)\/(-260))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -21, -33, -59, -105, -177?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4)*(p**(-1\/4)*p)\/p*(p**1)**(8\/5))\/((p**(-2\/5)*p*p**0)\/(p\/p**(-5)*p\/p**(-1\/5))) assuming p is positive.\nAnswer: p**(79\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 58.11215 + -4867\nAnswer: -4808.88785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 78 + -88 + (91 - 150)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 7, q: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (-1 + sqrt(500)*-1)**2)*-3*-2 + 1*(sqrt(80) - (sqrt(80) + ((sqrt(80)*2 - sqrt(80)) + 0)**2))*6.\nAnswer: -3486 - 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -2, 2, 226 in increasing order.\nAnswer: -3, -2, -1, 2, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-88)\/(-55) - ((-24)\/10 - -2). Let p(b) = 17*b**2 + 2. Let d(n) = -273*n**2 - 33. Determine t*d(u) + 33*p(u).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 1 + 1)*(98 - 163 + 6200*g + 65) + g - 2*g**2 - g.\nAnswer: -18602*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -140121*a**3*j*v - 120007*a**3*j with respect to v.\nAnswer: -140121*a**3*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5049 - 459439\/91. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -4. Let q be -3 - -2 - (-9)\/21. Sort 5, k, q in increasing order.\nAnswer: q, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -327, -653, -979, -1305?\n\"Answer: -326*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.89 + 191.89. Let j = n + -188.081. Let q = j + 0.0810084. What is q rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of ((-78)\/(-12) + 1)*58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -3*k + 4. Let h be 19\/38*((-9)\/21 + 0). Which is smaller: k or h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -641898344 divided by -2741?\nAnswer: 234184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 222604, 445145, 667684, 890221, 1112756?\n\"Answer: -s**2 + 222544*s + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4*-35)\/(-2) - 60\/20. Solve 2*t - c = -61 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r - 170. Let x(c) = 2*c - 1. What is h(p) - 4*x(p)?\nAnswer: -2*p - 166","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 - 0.06. Let i(z) = z**2 - 6*z - 9. Let k be i(7). What is the second biggest value in 1\/3, a, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 3*k**2 + 4*k + 1. Let i be a(6). Let f be i\/(-9) - 32\/144. What is the highest common factor of 72 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.08457 litres to millilitres.\nAnswer: 98084.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 190231 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: How many minutes are there between 6:56 PM and 8:03 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3769690*a*y**3 + 2*a*y**2 - 2*a*y + 358*a + 12*y**3 - 5915*y**2 wrt y.\nAnswer: 22618140*a + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*b + 405 = 0, f - 2*b - 114 - 303 = 0. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1113632 - -113?\nAnswer: -1113517","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\/29)\/(c**1)**(2\/55))**(1\/30) assuming c is positive.\nAnswer: c**(-727\/191400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of o**6\/60 - o**5\/6 - o**4\/6 + o**3 - 2*o**2. Let f(c) = c**3 + c**2 + 1. Let q(w) = 2*f(w) + n(w). Factor q(h).\nAnswer: 4*(h - 2)*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*1*-1)\/(sqrt(10) + sqrt(480)\/sqrt(3)).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -19*c**4\/12 + 13*c**3\/6 + 18*c + 17. Let s(w) be the first derivative of x(w). What is the second derivative of s(z) wrt z?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1213556 to the power of 1\/2, to the nearest integer?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110525 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (1 - (1 - (-7 - -18))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000509 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00028039 rounded to 6 dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 4. Suppose 38 = -0*d + i*d. Let b = d - 15. What is the least common multiple of b and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 648*q**2 + 9*q**3 - 648*q**2 - 5*q**3 - 5*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 394, 4, 0.06, 0.6 in increasing order.\nAnswer: 0.06, 0.6, 4, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (8 - (-9 - -10)) - 4 - 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 509778, 1019551, 1529324, 2039097?\nAnswer: 2548870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 2*l**2 + l**2)*(3*l**3 - l**3 - l**3) + 5920*l**3 - 197*l**5 - 5920*l**3.\nAnswer: -198*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299\/623 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23.99499ns to milliseconds.\nAnswer: 0.00002399499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) 0.29 (c) -0.03 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 + 2*h - 3. Let u be x(2). Calculate the common denominator of 21\/(-9) + u\/6 and -37\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18201, 36381, 54547, 72699, 90837?\n\"Answer: -7*u**2 + 18201*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 137222*v**2. Let q(h) = 37*h. Determine y(q(b)).\nAnswer: 187856918*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*n**2 + 42*n**2 - 9*n + 9*n - 7*n**3.\nAnswer: -7*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r. Suppose 4 = -4*m - 4*z, 5*m - 4*z + 0*z = 31. Let l(g) = 5*g + 3. Give m*p(x) + l(x).\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iin when three letters picked without replacement from iihhcjhnhjhhjhjcc.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430120 is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -3 - (5 + 6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8 * 88722\nAnswer: 709776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 4 + 0)\/1. Suppose -32 = -4*a + 3*a. Suppose 73 + a = p*i. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a hour in seconds?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -29625 > -503643\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91074?\nAnswer: 2, 3, 43, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20 - -26. Let o be (-1)\/((6\/(-2))\/6). Solve 3*s + 8 + 1 = -5*h, -5*h - g = o*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6356 - 6080. Are f and 276 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18936228 and 2928?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229, -475, -721?\nAnswer: -967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28\/3 - 49\/6. What is the common denominator of ((-4)\/18)\/((-1)\/(261\/(-2028)) + -8) and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 137183846 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + (-1*sqrt(209))\/sqrt(11)) + 3)**2.\nAnswer: 12*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34*u - 4 - 4 + 0 + 11 + 2*u to the form x + s*u and give s.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*r - 24. Let w = r - -11. Put w, -3, 3 in decreasing order.\nAnswer: 3, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - (20 - ((122 - 123) + (16 - 0))).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-6 - (-6 - -10) - -17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 724739133.\nAnswer: 3, 1381, 174931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**3\/11 + 115596*m**2\/11 - 1670188800*m\/11 - 3340840000\/11 = 0.\nAnswer: -2, 28900","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -6, 21, 68, 141, 246, 389, 576?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 4:22 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 14406811.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2395845419 to 4 dps.\nAnswer: -0.2396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 2. Let v = -17 - -34. Solve -v = -x*w - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11408133 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - -37. What is the greatest common factor of w and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6683920 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: In base 6, what is -53213 - -33?\nAnswer: -53140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -500 + 500 + 10*a**2 + 3*a**2. Let t(p) = -3*p. Calculate k(t(u)).\nAnswer: 117*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*l**2 + 133*l**2 + 6*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 68\/1355289 and 87\/236?\nAnswer: 5421156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -17*p**2\/2 + 114. Let f(l) = -6*l. What is u(f(k))?\nAnswer: 102*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 5 - 5)*(2*o + 3756 + 3643 - 7233).\nAnswer: 6*o**2 + 498*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k - 6*k + 1104 = -22*k - 0*k for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 19248 divided by 802\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.892 - -5.929. Let d = 4.056955 - q. Let r = 0.02 - d. What is r rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 682567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.2 - 0.2. Let t = 0 + 0.5. Let w = -6066 - -6067. Which is the second smallest value? (a) l (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 + 222. Let q be (6\/36*3)\/(1\/r). Calculate the greatest common factor of 36 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2219860 to the nearest 100000.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 >= 20237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151073.\nAnswer: 13, 11621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1359?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -568086 + 1704257\/3. Let n = 3.2 - 3. Which is the biggest value? (a) -2 (b) n (c) l (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (0 - -1 - 0). Let w be (-3 + 14 - 0)*-1. Let v = w - -9. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - 6 + 6 - 3*o**2 + (-o - o + 4*o)*(5*o + 0*o - 3*o) - 4*o**2 + 5*o**2 + 0*o**2.\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*c**2 - 33*c + 33*c + (-1 + c + 1)*(0*c - 4*c + 2*c) - c**2 + c**2 + 3*c**2.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 20\/31, 11\/30, -6\/5, 1\/6?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -120140 - 2302?\nAnswer: -122442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19125654, -19125656, -19125658, -19125660?\nAnswer: -19125662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.33 - 2.3. Let x = 0.47 + g. Let t = x - 0.56. Which is the second biggest value? (a) -0.3 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -29*w**2 - 3*w + 9. Let a(i) = -20*i**2 - 2*i + 6. Let r(f) = 3*a(f) - 2*x(f). Let g(u) = 109*u. What is r(g(c))?\nAnswer: -23762*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58153 or -2\/5?\nAnswer: -58153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 250 + -250. Let x = -1 + 5. Suppose q = -x*d + 12*d - 256. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t - 894 - 294 = 0. Find the third derivative of -4*g + 73*g**3 + 36*g**2 - t*g**2 + 6*g + g + g wrt g.\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1902201 and 3.\nAnswer: 1902201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 5, -1, 0.7377, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1645668 or 2?\nAnswer: -1645668","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*m**4 + 7440*m**3 + 2797280*m**2 + 22022400*m + 43808000 = 0. Calculate m.\nAnswer: -740, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 q when four letters picked without replacement from wwwwwwwwwwqwwqwwqq.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z - 1. Let a(f) = 1993*f - 1997*f + 219 - 220. What is -4*a(j) + 7*m(j)?\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5929)*-2 + sqrt(5929) - sqrt(5929))\/(sqrt(56)\/(sqrt(8)*1)).\nAnswer: -22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 m, and 1 j when three letters picked without replacement from jcmjjbbbjbjmmj?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + 25*x - 3*x**2 - 25*x. Let v(z) = 2*z**2. Give l(v(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 + -81. Suppose 5*m + p*y - 6364 = 0, 0 = -9*m + 4*m - 3*y + 6366. What are the prime factors of m?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by 116?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/4 of a meter in millimeters?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c + 2*c + c**3 - 2 - 2*c)*(0*c + 2*c - 4*c) to m*c + v*c**3 + n + x*c**2 + r*c**4 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 15 + 8 + 10 + (61 - 2)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/162 and 151\/22488?\nAnswer: 607176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -369, -1152, -2435, -4206, -6453, -9164?\nAnswer: -12327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 + 235*c\/2 - 3663.\nAnswer: -(c - 198)*(c - 37)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5099448?\nAnswer: 2, 3, 19, 53, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.32, -0.3, -1\/5, 41, 6\/17?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3638.0727 and 0.061512.\nAnswer: -3638.011188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-16 - 4263\/(-168))*16 + -5 is divided by (-2)\/(-2)*(-1 + 74)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7637*m**3 - 7642*m**3 + 3*m - 83*m - 85*m**2.\nAnswer: -5*m*(m + 1)*(m + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4134.\nAnswer: 2, 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-2 + -9 + 5) - -15?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 119732957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 0, -2, -1\/8, -9, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 68 + -3?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, -5\/2, 2\/5, 3894, 4 in descending order.\nAnswer: 3894, 109, 4, 2\/5, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 1192*s - 39169. Determine y(32).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -7*u**3 + u**2 + 2*u + 1. Let q be x(-1). Suppose 4*d - 5*k - 2 = 0, -4*k = 4*d - 3*d - 11. Let m be 2\/(3 + 13\/(-5)). Solve -q = -m*r + d for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, v: 6, d: 8, x: 3}. What is prob of sequence ex?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(-78*r - 83*r - 85*r + 246*r - 10388*r**2)*(r**3 + r**3 - r**3).\nAnswer: -20776*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 130 + 17236?\nAnswer: 17366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 31*70\/16275*18\/3\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176824185 by 287519.\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -93941*q + 2343*q**2 + 93941*q - 10642*q**2 as v + r*q**2 + x*q and give r.\nAnswer: -8299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -6*b**4\/11 + 12222*b**3\/11 - 6266610*b**2\/11 + 43269450*b\/11 = 0?\nAnswer: 0, 7, 1015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/184 and 49\/1797.\nAnswer: 330648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 3*a + 5*a + 441*a**2.\nAnswer: 441*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 218838*c**2*x**2 - 5*c**2*x + 16*c + 23517*x**2 wrt c?\nAnswer: 437676*x**2 - 10*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1113, 4007, 8811, 15525, 24149, 34683, 47127?\n\"Answer: 955*j**2 + 29*j + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 299, 307, 373, 503, 703, 979, 1337, 1783?\nAnswer: 2323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8428*f**2*s**3 + f**2*s**2 - 2*f*s**3 + f*s**2 + 2002*f wrt f?\nAnswer: -16856*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6950 and 48372?\nAnswer: 1209300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 19 = -2*v + 3*v, -5*v - 5*b + 70 = 0. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.49 - 0.29. Let t = -1 + 0. Is t < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 10:02 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -663 - -1158. Is z a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2\/x*(x\/x**(-11))\/x)**(6\/25) assuming x is positive.\nAnswer: x**(72\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 198*w + 914*w - 200*w.\nAnswer: 912*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*3*(-2 + (-4 + sqrt(200)*-1 - (sqrt(200) + -2 + sqrt(200) + 2 + sqrt(200) + sqrt(200)))*-1) + -5)**2.\nAnswer: 4200*sqrt(2) + 180049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6530609?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0, 0.02, -0.5, 16?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, n: 4, a: 1, g: 2, v: 1}. Give prob of picking 2 n, 1 a, and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.20931 + 265.27369. Let l = z + -270. Round l to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -11. Let d be -2*u\/(-14)*7. Suppose -6*c + 4*c + d = 0. Are c and 7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269010 = 2*l + 16*l. Suppose 0 = v + 4, -7410 = -k - 3*v + l. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4211312 (base 8) to base 11\nAnswer: 6a4732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*c - 19513 = -v + 41*c, 2*v - 3*c - 39037 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 17536, 1.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.347 + -0.346999308. Round f to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104219.\nAnswer: 89, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -164.02?\nAnswer: -328.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -9*r**2. Let g(p) = -23*p. Calculate g(i(z)).\nAnswer: 207*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*i - 362, 3*n - 2*i = -135 - 69. Let b be (-20)\/n - (-4)\/(-14). What is the lowest common multiple of 5 and (0 - (-3 - b))\/1?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - 1 + 3*k + 7*k)*(2*k + 78 - 78 + (5 - 2 - 2)*(0 + 2*k + 0)).\nAnswer: 36*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4504941 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448) - sqrt(448)*2*-4) + -5)**2.\nAnswer: -720*sqrt(7) + 36313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -15, -10, -7, -6?\n\"Answer: -k**2 + 8*k - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(-14))\/s*s*s)\/s)**(-2\/41))**(-29\/5) assuming s is positive.\nAnswer: s**(174\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 251*q + 25088. Give p(-100).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8842 = -114*h - 14200 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -144, -146, -150, -156, -164, -174, -186?\n\"Answer: -x**2 + x - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5535032 and 374810.\nAnswer: 2026","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -5*a - 2. Let b be -1 + 9 + 0\/(-4). Suppose 3*i = -b - 13. What are the prime factors of p(i)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5925 divide 168412200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 258 (c) 2\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 7:23 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-403)\/(1085\/(-35)))\/1\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4417309807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(567)*2 + 1 + sqrt(567) - (-1 + sqrt(567) + 0)*-6)**2.\nAnswer: -1620*sqrt(7) + 46027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2. Let o(s) be the second derivative of 0*s**3 + 2*s + 0 - 1\/12*s**4 + 0*s**2. What is g(o(v))?\nAnswer: -v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 81 - -3?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 23\/3 + ((-28)\/(-21))\/(-2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-260))\/((-294)\/(-112))\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2\/3 (b) -0.06 (c) -239 (d) -0.4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -33 + 11. Let n = b - -10. Let z = n - -15. Solve 0 = j + 5*q - 4 + 2, -5*q = -z*j - 14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46 and -0.06.\nAnswer: -2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a factor of 621101329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -895?\nAnswer: -890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 10 - 4. Let y be -22 - (3 + 3)\/z. Let b = y + 24. Solve -3*r - a - b + 1 = 0, 3*a + 9 = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 59*t**3 - t**2. Let o be m(1). Let l = o - -155. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b**2 - 3*b + 4. Suppose 5*l - 4*l - 3 = 0. Let c be k(l). Let i be (-360500)\/(-7)*c\/2. Round i to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1381 = 2*y - 8139, p + 3*y = 9522. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804614 is divided by 2006?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-672)\/(-32)*(3168\/231)\/(-4).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 15 + 12 - 7*r**2 as z*r**2 + l*r + y and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwvmwni. What is prob of picking 1 w, 1 m, and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3901 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92306935.951700369 - -92306936. Let h = y + -0.0483. Round h to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 18*k + 245. Let w be j(-27). Which is the third smallest value? (a) 5 (b) 1\/2 (c) w (d) -57 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 - 7*v**2 - 6*v + 8. Let l(c) = -4*c**2 + 2*c**2 - 4*c + 0*c**2. Let d be l(-3). What is the units digit of r(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.62 - 0.58. Let z = t + -1.04. What is the biggest value in 0.5, z, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 72*d**2*p + 3*d**2 + 2*p + 33 wrt p?\nAnswer: 72*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, x: 4, l: 3, r: 1, d: 4}. What is prob of picking 2 r and 1 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1878 is divided by 625.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 151 = -24*y + 584. What is the greatest common divisor of 168 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 608 - 278 + 638*v - 169 - 161 in the form l + g*v and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 20155742000 to the nearest 1000000.\nAnswer: 20156000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from {s: 8, k: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(12) - (sqrt(1200) - (sqrt(1200)*2 - sqrt(1200))))\/((sqrt(66) + 2*sqrt(66))\/sqrt(11)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 11 = -3*v + 34, -4*v + 58 = -3*z. Solve -63*g + 176 = -v*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19544875.112 to the nearest one thousand.\nAnswer: -19545000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zhhzzhbbqhzzzhbqz.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 604628, -142, 4 in decreasing order.\nAnswer: 604628, 4, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -145*s - 111. Let g(a) = -47*a - 1. Give -b(f) + 3*g(f).\nAnswer: 4*f + 108","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97\/67 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -5 (c) 2\/7 (d) -0.13 (e) -9\/10 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 s when two letters picked without replacement from sssssvvsfvvfk?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 9*m + 5*q - 190708, 2*q - 143038 = -3*m. Calculate the remainder when m is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**2 - 32*a + 9. What is n(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3749742 or -3749737?\nAnswer: -3749737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = u + 15. Let g = -5 - -5.1. Let o = 0.2 + g. What is the biggest value in u, o, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**3 - 44*i**2 - 2590*i - 7. Calculate o(-23).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -1. Let a be -5 + 0 + ((-6)\/(-39))\/((-4)\/(-104)). Let i(q) be the second derivative of -q**4\/6 - q**3\/3 - 3*q**2 - q. What is a*i(p) + 5*y(p)?\nAnswer: 2*p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*r - 3*i, 2*r - 8 = -3*i - 5. Suppose r*y - 2*l - 34 = 0, 5*y - 12 - 28 = -5*l. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -4, -1, -2\/53 in descending order.\nAnswer: 3\/8, -2\/53, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7774235*n**4 + 9401692.\nAnswer: 31096940*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 23, 21, 9, -5 in descending order.\nAnswer: 23, 21, 13, 9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 7*o = m + 2750, -3*o - m + 2066 = 0. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3040 and 120?\nAnswer: 9120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -431724.9 to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07423749398 rounded to three dps?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*m, q - 2*m - 44 = -3*q. What is the tens digit of ((-4)\/q - 1)*-33?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 464*r**2 - 799*r**2 - 275*r**2 - 1173*r**2 in the form u + q*r + z*r**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 7:34 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11094534*c**5 - 6*c**2 + 6*c + 36515998 wrt c.\nAnswer: -221890680*c**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r**2 - 5. Let l(o) = -o**2 - o - 1. Suppose 297 - 325 = 7*b. Give b*l(u) + n(u).\nAnswer: -2*u**2 + 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ucuccuoyyycnzcc. What is prob of sequence zcu?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47950 and 350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 17*j**2 + 8*j - 3 - 3*j + 10*j**2 - 4. Let y(g) = -g + 7. Let h be y(0). Is 8 a factor of c(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 1 - (36 - (89 - 14)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97943?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*s + o, o + 23 = 2*s + 4*o. Let k be (-3*s)\/((-3)\/2). Suppose 2*a - k*a + 378 = 0. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.22*1009.894.\nAnswer: 1232.07068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwrw. Give prob of picking 2 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112101100011 - -221?\nAnswer: -112101022020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2653 and 40\/77.\nAnswer: 29183","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2299) - sqrt(2299)*1) - (sqrt(2299) + (2*sqrt(2299) - sqrt(2299)) + -5))**2 - (-3 + sqrt(19) + 5 + 2 + sqrt(2736)).\nAnswer: -233*sqrt(19) + 9217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x + 4. Let v be u(4). Suppose 4*q = -v + 8. Suppose 81 - 17 = q*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 592.8 + -593. Which is the second smallest value? (a) 10\/7 (b) k (c) 0.5 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 13 = 2. Suppose -o + 3 = 2*w, k*o - 2*w = 3*o + 12. What is the nearest to 1\/10 in 0.4, -1\/4, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**4 + 7 + 6 - 5)*(-84*q + 140*q - 66*q).\nAnswer: -20*q**5 - 80*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 9*r + 1. Suppose 4*x = 2*z + 16, 3*x + 0*z - 3 = 6*z. Let h(t) = t**2 + 5*t - 22*t + x*t + 8*t. What is 3*g(v) - 7*h(v)?\nAnswer: -v**2 + v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84013623*u**3 + 26*u - 84013636*u**3 + 26*u - 83*u + 31*u.\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 5. Let b be ((-10)\/180)\/(11\/(-44)). What is the fourth biggest value in -2, d, 2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 811 (base 12) to base 4.\nAnswer: 102031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-7)*-150*217\/(-732375).\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**2 + 2*n**4 - n**2 + (2*n**4 - 2*n**4 + 2*n**4)*(-4 + 5 + 0) - 2 + 2 - n**4 + 6 - 3*n**3 + 3*n**3 + n**4 + 4793*n**4 + 7381437*n**2 - 7381437*n**2.\nAnswer: 4797*n**4 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let u(g) = 4*g**2 - 8*g + 5. Let w be u(1). Let b be (4 + 70\/(-15))*w\/(-6). What is the second smallest value in i, b, -3\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -200 + 206?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15306698, -15306696, -15306694, -15306692?\nAnswer: -15306690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*i + 1591. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -76.41, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(168) - sqrt(168)*-2)\/sqrt(4) + sqrt(42))\/(-4*sqrt(96)) + (sqrt(2058)\/sqrt(6) - sqrt(7)) + (sqrt(1512) + sqrt(42))\/sqrt(6) + sqrt(7)).\nAnswer: 165*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 0.61, -0.5, -2, -3\/4 in ascending order.\nAnswer: -2, -3\/4, -0.5, -0.05, 0.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/6)\/((-30)\/(-1260)). Let y(g) = -2*g**3 + 59*g**2 - 55*g + 70. What is the hundreds digit of y(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2471 + -1564. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148371*2362.\nAnswer: -350452302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (2 + 2 - (16 - 17)) + 1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 10 = -0*u. Calculate the highest common divisor of 110 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 2:22 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*u - 12 + 21 - 9.\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 469 divide 2925372502?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 203*b**4 + 105*b**2 - b - 6. Let z(y) = 203*y**4 + 103*y**2 - y - 4. Let n(x) = -2*h(x) + 3*z(x). Find the third derivative of n(a) wrt a.\nAnswer: 4872*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2870146079\/37853700 - 5144\/41325. Let c = -44064987\/2290 - g. Let o = c + 19313. What is the common denominator of o and -101\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28 + -26. Solve 0 = b*m - 2*l + 5*l + 14, -2*l - 6 = -2*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -924.1352 + 0.1352. Let r = x - -1025.6. What is r rounded to the nearest ten?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/2)\/(30\/60).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 3*l = 11, -3*l + 133 = -5*f + 116 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = -3*p + 20, -2*p - 4*j + 10 = 0. Solve -3*a = -2*b + 4*b - 8, 3*a + 20 = p*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/5 + 14892*o\/5 + 940725.\nAnswer: 3*(o + 339)*(o + 4625)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 7:01 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 8. Let k be (0\/5)\/(1*n). Solve 3*m - 15 = k, 0*l = -l - m + 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 111?\nAnswer: 3885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**4 + 18120*p**3 + 17193*p**2 + 11?\nAnswer: -48*p + 108720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 9*b - 405. Is b a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l + 70 - l**3 - 27 - 29 - 20*l to the form n*l**3 + v + h*l**2 + p*l and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.38*1.\nAnswer: 1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 235?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -483658.401 rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.557481 times 1.01\nAnswer: 1.57305581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(((-3 + 0 + sqrt(112))*-6)**2 + 1).\nAnswer: -864*sqrt(7) + 4354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 9*c = 2*c. Suppose 14*i - 43 = 12*i + 3*u, c = -3*u - 9. Solve 4*m - 13 = -i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -6*d**3 - 756*d**2 + 2*d + 667. Let w be o(-126). Solve -w*l - 96 = -431*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + b = -r - 2, 2*b = -3*r - 5. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-10))\/(102\/272)*(-30)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2601 and 981.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l = -18*l. Let c(g) be the second derivative of g + 0 + l*g**3 + 1\/12*g**4 - 1\/2*g**2. What is the derivative of c(z) wrt z?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 3*g**2 + 1. Let k be v(3). Let d be ((-6)\/8)\/((-42)\/40). Which is bigger: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 483179955?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -445*l**3 + 3*l**2 + 2*l. Let d = 14 + -8. Let h be b(d). Round h to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 3*p - 5*p + 6 - 4*p + 5*p. Let v be b(4). Find the third derivative of -3*z**2 + 0*z**2 - 5*z**v + 12*z**3 wrt z.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 737*g**2*n**2 - g**2*n*r - 4*g**2*r**2 - 7*g*n**2*r - 2*g*n*r - 4*g*r**2 - 9*n**2 - 2*r wrt g.\nAnswer: 1474*n**2 - 2*n*r - 8*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11265 from -0.12.\nAnswer: -11265.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 at least as big as -9886?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-7))\/(-2) - 13\/(-7). What is the tens digit of b\/(-4)*(-1980)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-24))\/((-5)\/(-30))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -137 - -141. What is the highest common factor of 14 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of -7*s**6\/1440 + s**5\/240 + s**3\/6 + 2*s**2. Let h(a) be the first derivative of z(a). Factor h(u).\nAnswer: -u*(7*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*f - 58022 - 72341 - 746579. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14596 and 820.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - -81. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1019376?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -341?\nAnswer: 33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.9682 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.053817 minus -27376.78706?\nAnswer: 27376.733243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202 + 112?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**12\/h)\/h)**4\/(((h*h*h**(-8))\/h)\/h**(-8)))**30 assuming h is positive.\nAnswer: h**1170","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5595*u**3 + 32*u**2 - 16*u - 16. Let t(n) = -3730*n**3 - 20*n**2 + 10*n + 10. Determine -5*a(v) - 8*t(v).\nAnswer: 1865*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*y + 4207 - 4431 = 0 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23491702409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from aaaaaaiaiaaaaiiaaaa?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46.99802 + -47. Round t to 4 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7*w - 55 = 0. Suppose w*b - 6*b = 45. Solve 2*p = -p - b for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 8*o = -4. Let s be (2 - o) + (-11)\/(-11). Suppose 945 = 4*k - s*a - 20, 0 = -3*a - 3. Calculate the greatest common divisor of 30 and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/(2\/9). Suppose 5*k - 30 = -5. Sort -5, n, k.\nAnswer: -5, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 19055765615.\nAnswer: -19055765617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107\/36 - -20\/9. What is the nearest to 2 in g, -4, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5 - 363*s**4 + 753378*s**3 - 121134012*s**2 + 589881000*s - 469500000 = 0. Calculate s.\nAnswer: -626, 1, 4, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10 - -19 - (29 - -29)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 3, r: 4}. Give prob of picking 2 r.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3346?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, g: 2, k: 2, o: 1, i: 1, c: 1}. What is prob of sequence gc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-21754)\/(-2184) - (-4)\/14. Let n = d - 30\/91. Let t = -10645\/1782 - -112\/81. What is the common denominator of n and t?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11555389.\nAnswer: 73, 158293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 432\/(-110))*11781\/(-4284)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k + 210. Let a be q(0). Suppose -p + a = 4*p. Find the second derivative of 10*d**2 + p*d - 19*d + 9*d**2 wrt d.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -44? (a) 0.2 (b) -0.4 (c) 0.194 (d) -2\/31 (e) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 22*v + 27. Let b be h(-23). Let f = -2 + 6. Solve b*k - 23 = -3*s, k + s - f*s + 13 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.209 + -0.051. What is the third biggest value in -5, 0.4, v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 18*q - 38*q + 4 + 23*q - 14. What is v(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l + 11*l = -117. List the prime factors of l.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2 - 10 + 159 - 149. Let v(s) = 4809*s. Give v(t(l)).\nAnswer: 9618*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 25, -b + 13*g + 18 = 17*g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a**2 - a + 1. Let v(m) = -28*m**2 + 10*m + 10. Let g(l) = 2*k(l) + v(l). Factor g(t).\nAnswer: -4*(t - 1)*(5*t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 3*p + 22. Let c be h(-6). Suppose -4*o - 12 = -2*w, -5*o + 4*o + c*w + 11 = 0. What is the third biggest value in 2\/7, o, 1\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/252 and -83\/1428.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 205, -3, 0.4.\nAnswer: -3, 0.4, 1, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12282\/442152)\/((-1)\/(-1332)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6157*h*p**2 - 1648*h*p + 44024*p**2 + 881 wrt h.\nAnswer: 6157*p**2 - 1648*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4*y - 229, 5*y - 4*z = y + 244. Suppose -7*r + y = -9*r. Let t = r + 37. Calculate the lowest common multiple of t and 46.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 43 = -u - 337, -4*u - 4*b = 1420. Is -360 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*k**2 - k**3 - 57*k**2.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**1*h)\/h**(-1))**(-35) assuming h is positive.\nAnswer: h**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 905 = 5*h + x, -x + 362 = 2*h + 2*x. List the prime factors of h.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -11*q**3 - 2*q**2 + q + 1. Let a be v(1). Let i = 17 + a. What is the greatest common divisor of 9 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115232 divided by -8414?\nAnswer: 57616\/4207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (0 - (-4)\/(-6)). Suppose -5*i - d + 12 = -3*d, 3*i = 5*d - 8. Let f = 2 + -2.2. Which is the nearest to 2\/5? (a) k (b) f (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/4 - 99*i\/4 + 345\/2.\nAnswer: 3*(i - 23)*(i - 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)\/g**4)\/(g*g\/(g*(g**3\/g)\/g))**(18\/5) assuming g is positive.\nAnswer: g**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3709379 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -12010121 (base 3) to base 13\nAnswer: -191b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1629048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggdvvgdvvddddddv. What is prob of sequence gddv?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 26*v + 9. List the prime factors of f(3).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 + y**2 + 2*y + 2. Let n be l(-1). Suppose 0 = -n*j - 4*x + 1212, -3*j - 12*x = -11*x - 1203. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/14)\/(10\/(-4)*(-414)\/(-1449))?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.55701 to two dps.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkktkpktpkukkkkk. Give prob of picking 2 p, 1 k, and 1 u.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/19 + 37214726*x**2\/19 - 173116997514246*x\/19 + 173116960299522\/19 = 0.\nAnswer: 1, 9303681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 59516?\nAnswer: -59512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3*m**(-13))\/(m*m\/(m*m**(-2))*m**9) assuming m is positive.\nAnswer: m**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of a**2\/2 - 133*a. Let x(c) = c**2 - 2*c - 3. Give -m(f) + x(f).\nAnswer: f**2 - 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmsmimmmmktmmtmtkmm. Give prob of picking 3 m.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12150\/(-1800))\/((-2)\/(-8))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 + -63. Suppose -5*d + j + 17 = 0, -2*d = 2*j + j. Solve 0 = -n*u + d*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8\/273, -0.4, -2?\nAnswer: -8\/273","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 89, 168, 241, 308, 369, 424, 473?\n\"Answer: -3*u**2 + 88*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -135*y. Let p(x) = -537235*x**2. Calculate p(n(o)).\nAnswer: -9791107875*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 6*s**2 - 5*s + 6. Let f = 2 + 3. Calculate x(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -5*v**4\/12 - 880*v**2. Let l(i) = -i. Calculate u(l(z)).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19034 and 8596.\nAnswer: 266476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79.5 - -12.5. Let s = t - 91.999292. What is s rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + 1)**2*-6 - ((sqrt(605) - (sqrt(605)*-2)**2) + -4).\nAnswer: -1212 - 143*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 + -1 + 518\/(-70). Let o be (-12)\/(-18) - 1\/1. Which is the third biggest value? (a) o (b) v (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 88836 + -2?\nAnswer: 88834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1425) - 2*sqrt(1425)*3)\/((sqrt(3) - (-3*sqrt(3)*1 - sqrt(3)))*1).\nAnswer: -5*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 3 + u**2 - u**2 + 4 - 4 + (1 + 4 - 4)*(-u**2 + 2*u - 2*u) + 2*u**2 - 4*u**2 + 3*u**2 - 9*u**2 + u**2 - 6*u**2 + 10*u**2 + 5 + 6 - 13.\nAnswer: -4*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 138872857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13791888 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 98\/(-308)*72\/(-42)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*g + f - 38 = 49*g - 22, 3*g + 18*f - 363 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -501705898*k**3 - 2*k**2 + 4*k + 1640399 wrt k.\nAnswer: -3010235388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -365 + 370. Solve x*y = -189 + 214 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -298*u - u**2 + 207 + 0*u**4 + 0*u**3 + 8\/5*u**5. What is the first derivative of p(x) wrt x?\nAnswer: 32*x**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l**3 - 2*l**2 - 9*l + 5. Determine g(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -20.04. Let x = o - 0.36. Which is the biggest value? (a) x (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 10) in base 14?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*y**4 - 295*y**2 - 3799*y wrt y.\nAnswer: 36*y**2 - 590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/8 (b) 0.013 (c) 29.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*v + 3*z - 1, -2*v - 5*z = -19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 6:24 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**3\/11 - 1872*p**2\/11 + 3752*p\/11 = 0.\nAnswer: -938, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - 114847313?\nAnswer: -114847316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 5*o**2\/2 - 23*o + 5. Let b be z(10). Let v = 2 + b. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707066387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**2 + 2*g - 2. What is the common denominator of c(-3) and -9\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 476289?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2*(sqrt(76) - sqrt(76)*-1) + 1*sqrt(76)*4 + sqrt(76))\/(3*sqrt(64)*-1*-2).\nAnswer: -5 + sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -87 divided by 8\nAnswer: -87\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 43135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 16*m = -10, 2*r - 8*m + 6*m - 6 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-96)\/(-18) + -5 - (0 + 0). What is the closest to 4 in 0.3, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3 + 2 + z + z**3 + 78*z**2 - 79*z**2. Let l be q(0). Let v be (-16)\/60 + 2\/3. Are l and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 7:25 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 0) + 16 + -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 a factor of 640995514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*s + 28, -21*w - 3*s + 26 = -19*w. Let y(j) be the first derivative of -j**3\/3 + 6*j**2 + 13*j + 1. What is the units digit of y(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46*-13851\nAnswer: 637146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26366, -26369, -26372?\n\"Answer: -3*a - 26363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -556\/3083 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8400, -16795, -25188, -33579, -41968, -50355?\n\"Answer: i**2 - 8398*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2910*f**3 - 14*f**2 - f + 6. Let d(b) = 11641*b**3 + 54*b**2 + 4*b - 26. Let t(a) = 3*d(a) + 13*r(a). What is the third derivative of t(x) wrt x?\nAnswer: -17442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3027747 (base 8) in base 5?\nAnswer: -201024240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = 11*j - 1278. Suppose -j*u = -65*u - 108. What is the lowest common multiple of 9 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -426844, -853690, -1280538, -1707388, -2134240, -2561094, -2987950?\nAnswer: -3414808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -153610 bigger than -153609?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -168.9 + 185.9. Which is bigger: o or -191?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-21875)\/(-1875))\/(10\/(-6))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(12\/(-4) - (-802)\/267). Let q = 271 + j. Solve 0 = -7*b + q*b - o - 14, -4*b - 2*o - 18 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 210176 + -3?\nAnswer: 210173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 2*b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3\/4 (b) 5\/3 (c) 1147 (d) 3 (e) -0.4 (f) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (8\/(-6) - (-2800)\/(-240))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -761\/4 (c) -0.047 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -31. Which is smaller: p or 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a = -4*a + 28 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 8*m**2 + 22*m + 66. What is the remainder when p(-13) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 10*q**2 + 389*q - 250. List the prime factors of k(-103).\nAnswer: 17, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0432507 to 4 decimal places.\nAnswer: 0.0433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*k**3 - 9*k**3 - k**3)*(-6 + 2 + 3) - 4*k**3 - 4*k**2 + 4*k**2.\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -154 divided by -930855\nAnswer: 154\/930855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 77 + 33. Let v(n) = n**2 + n + 17. Let j be v(8). Suppose 5*p - 21 = j. Calculate the greatest common divisor of x and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2791, -2821, -2877, -2959, -3067, -3201, -3361?\n\"Answer: -13*j**2 + 9*j - 2787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 737\/22*8\/180. Let y = -8\/9 + h. Let b be (-8)\/21 - (-6)\/9. Put y, 0.2, 0, b in decreasing order.\nAnswer: y, b, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12010001 - 110120110?\nAnswer: -122200111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*a**3 + 2*a**2 + 32 + a**2 - 100.\nAnswer: 31*a**3 + 3*a**2 - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*-1*2\/6. Let j(p) be the second derivative of -p**4\/12 + p**3\/3 - p**2\/2 - 20384*p. Give j(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d - 24 - 6 = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -38. What is the first derivative of -33*h + b + 33*h - 13*h**4 wrt h?\nAnswer: -52*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**14\/a**11 assuming a is positive.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -15, 0.01, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4 + 0 - 12*h + 8*h - 141*h. Is z(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/(-2*(-2)\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 + 26. Suppose 0 = -w + p + 3, 5*w - 3*p = k. Let g be (-4 - w - -2) + 1. Which is the smallest value? (a) g (b) 1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + 61*f + 26. Give p(-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2 = 1. Let i be (-2 + p - -2)*55. Let c(v) = -v**2 + 16*v - 10. Let d be c(15). What is the highest common factor of d and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.08 (b) 1.2 (c) 5 (d) -6\/7 (e) 0.388 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 9*p + 139. Let f be s(-15). Suppose 120*h + f = 122*h. Solve -h*a + 6*a = -8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4701 (base 12) in base 5?\nAnswer: -223141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 4*d. Suppose -130*m + 97*m = -66. Solve -3*t + 0*t = 4*i - 1, d = -m*i + 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -19*t + 8. Let i be f(-6). Let g be ((-8)\/6)\/((4\/1830)\/(27\/(-90))). Calculate the greatest common divisor of i and g.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*q**5 + 12*q**5 + 4*q**4 - 2*q**4 + (3*q - 6*q + 4*q)*(0*q**3 - q**4 + 0*q**3).\nAnswer: -4*q**5 + 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/12 + 10 + -19?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 - 7*b + 10 - 15 + 26.\nAnswer: -7*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -411 + 378 + (-1522)\/(-46).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -439.97 rounded to the nearest 10?\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2101 (base 3) to base 4.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*q**4 - 7 + 12*q**4 + 145*q**4 + q**3 + 9 + 52*q**2 - 57*q**2 to m + o*q**4 + r*q + s*q**2 + v*q**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*h - 12, 18*h + 21*k = 23*h + 37. Let t(p) = -p**3 - 3*p**2. Let y be t(-3). Let v = 1 - y. Which is the closest to v? (a) h (b) 2\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 929385 is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen quarters of a minute?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (1 - 1) + -271 + 258?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152383?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (23 - (36 - -3)) - 16 - (-1 + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + 0. Let g = 4.086 + -0.086. Let f = -0.2 - -0.6. Which is the second biggest value? (a) f (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535 a factor of 133467750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 505 + -5526\/11. Let l = -225181\/105 + 15559\/7. Let b = -388\/5 + l. Find the common denominator of a and b.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131524355 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -3, -37, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -9. Let v be -2 - (2\/t + (-2 - 1)). Let b(j) be the first derivative of -j**3\/3 - 7*j - 79. What is b(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 11374*l = -11369*l, 2*l + 23 = 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-20)*(-2134)\/873.\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105607?\nAnswer: 105607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 134919 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 44. Suppose 0 = -g*q + 527 + 2866. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -c74 (base 14) in base 10?\nAnswer: -2454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587 is divided by 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**7\/98 + a**6\/35 - a**4\/14 + a**3\/14 - 6*a. Factor t(m).\nAnswer: -3*m*(m - 1)**3*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3306372 + -2?\nAnswer: 3306370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 8*q**2 - 160*q - 120. Let d be i(-17). Which is bigger: d or 1\/691?\nAnswer: 1\/691","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/10)*h**(-1\/8)*h)\/(h**6*h**4)*(h**0)**(2\/113)*h**(5\/6)*h\/h**6 assuming h is positive.\nAnswer: h**(-1607\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**3 + 5*y + 31. Let d(v) = -2*v**3 + 3*v + 16. Let t(z) = -5*d(z) + 3*h(z). Differentiate t(c) wrt c.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2488 is divided by 108.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2440323?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.5 - 11.6. Let y = 63 + -58. Let u = y - j. Is u >= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 - -1 - 1 - (-25064 - -177)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(108) + 1 + (1*sqrt(147) + sqrt(147))**2 + (-1 + sqrt(3))**2 + 1 + (sqrt(60)\/sqrt(2) + sqrt(30))\/sqrt(10).\nAnswer: 6*sqrt(3) + 594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9592 rounded to zero dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 - 2. What is the derivative of m + 5*x**3 - 24 + 11*x**4 - 5*x**3 wrt x?\nAnswer: 44*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = 4*z - 3*r, 4*r - 8 = 0. Let i = 281\/1008 + 1\/144. Suppose 2\/7*b**z + 0 + 2\/7*b**4 - 2\/7*b - i*b**2 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 12:45 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 12:09 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1 (b) -4408 (c) 26\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*k + 556, -3*k + 291 + 27 = -4*x. Let y = 90 - k. Let q = y - -15. Sort 1, q, -3.\nAnswer: q, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12349, 14964, 17579, 20194, 22809, 25424?\n\"Answer: 2615*n + 9734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 9:24 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and (-81)\/(-1) - (74 + -65).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(10\/5)*0. Let f be -4 + a - -94 - 3. Let n = 90 - f. Solve n*o = -5 - 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s - 2*w + 5, -13 = -4*s - 3*w. Let j be (-2)\/(-3) - (-1)\/(-2). Which is the nearest to 1? (a) 5 (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(1 - (1 - 1)). Suppose -4*r - 5*t + 3 = m, -t = -r - 0*r + 3. What is the common denominator of -99\/20 and r\/(-5)*111\/12?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 42.02156 milligrams?\nAnswer: 0.00000004202156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, u: 1, r: 4, j: 3}. What is prob of sequence ru?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3714177 (base 10) in base 7?\nAnswer: 43366335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1642 + -1637. Sort -3\/4, -5, 152, d in ascending order.\nAnswer: -5, -3\/4, d, 152","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610.1841 millennia in years?\nAnswer: 610184.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 450\/1841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than -59798?\nAnswer: -59806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - h + 1. Let m(y) = 9*y**2 + 11*y. Let r(s) = -m(s) + 3*o(s). Let a = -7 + 4. Let k(l) = 2*l**2 + 5*l - 1. Determine a*r(c) - 8*k(c).\nAnswer: 2*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 2*x + 33, -51 = -4*x - 712*z + 705*z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4 + 0 - 1 + 3 + l. Let y be 3\/(-14 + 492\/36). Calculate q(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -5*v + 12, 4*b - 5*b = 2*v - 6. Let t(s) = s + 8 + s**2 + 1 - b*s. Give t(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 187 - 38*f - 187.\nAnswer: -2*f**2 - 38*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 2 q when four letters picked without replacement from qqzqqmmmmzm.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000 (base 4) to base 12.\nAnswer: a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = x - 7. Suppose 0 = 3*h - k - 14, h + 0*k = -x*k - 12. Let c(d) = -3 - 2*d + h. Let r(w) = -11*w**2. Calculate c(r(a)).\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4833 = 596*f - 1853 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 7*y + 5. Let s be t(7). Let p(w) = 7*w**2 + 6*w + 2. Let o be p(s). Suppose 4*m - o = -59. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1288910*v**3*z**2 + 78528*v**3 + 13*v**2 - 2*v*z**2 wrt z.\nAnswer: -2577820*v**3*z - 4*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18158 divided by 1?\nAnswer: 18158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 249733500 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26.17 - 26. Let l = -6.9172748 + 7.08728. Let n = l - z. Round n to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**4 - 40*v**3\/3 + 62*v**2\/3 + 20*v - 48 = 0.\nAnswer: -4\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47931699 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 48 - 1 - 4 - i**2 - 4. Let a = -7 - -7. Is k(a) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 3. Let r(m) = m - 1. Let a = 494 + -101. Let x = a - 392. Give x*y(h) - 2*r(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*i - 169*i**2 + 33*i + 165*i**2 - 2 + 2 + 3*i**2 + (2*i + 1 - 1)*(-4*i + 4*i + i) + i**2 + i - i.\nAnswer: 2*i**2 + 20*i","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 10f (base 16) in base 10?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/16*-4)\/(((-4392)\/(-672))\/(-61))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 11996?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -4 + 5*i**2 + 3023*i + 3025*i + i**3 - 6049*i. Calculate b(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 36, 71, 104, 135, 164, 191, 216?\n\"Answer: -i**2 + 38*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 11075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 525 and (12960\/(-504))\/(148\/(-49) + 3)?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 29954 = 10*a. Let z = -852 + a. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 m when two letters picked without replacement from rmkk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (34720\/400)\/31*-3*8\/(-42)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -153. Let b be n\/9 + (-2)\/9. Let k be 3\/(b\/(-2))*1. Sort -1, 2, k in ascending order.\nAnswer: -1, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-34) - ((-1584)\/4590)\/(-22).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 + 0*s - 46 + 151 - s as o + q*s and give o.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 743 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*j = -11840, 2361 = h - 690*j + 692*j. What are the prime factors of h?\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 3. Let n(i) = -i + 10*i - g*i. What is n(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqiqllll. Give prob of picking 1 l, 1 i, and 2 q.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*r - 3300. What is r rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/207 + 44\/207. Which is the third smallest value? (a) r (b) 18 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m - 2*k - 198, -5*k = -3*m + 152. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7560 and 820?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**3\/2 + 277*h**2\/2 - 7871*h\/2 + 7595\/2 = 0.\nAnswer: 1, 31, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + (-7 + (4 - 3) - -5))\/(-3). Factor z - 4\/7*k**2 - 20\/7*k.\nAnswer: -4*k*(k + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32393a (base 13) to base 2.\nAnswer: -100011111111000011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 8:25 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 199. Let l = -490\/3 + r. Does -0.1 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29877552 a multiple of 3007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3)\/(j**(-6)*j))\/(j**(-5\/4)\/((j\/(j**(2\/31)*j*j))\/j)) assuming j is positive.\nAnswer: j**(1681\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 487885 and 251748660?\nAnswer: 251748660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2743?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 12360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**8\/j))**(-50)\/(j\/(j\/((j\/j**(-2)*j)\/j)))**(-3\/4) assuming j is positive.\nAnswer: j**(1209\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*(-5)\/((-25)\/(-1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2. Let b(j) be the third derivative of 7*j**5\/10 - 9*j**2 - 15*j. Determine b(o(x)).\nAnswer: 42*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - -30?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -11*y + 40. Give c(12).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -121?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 - 19. Let c(z) = -z**2 + 5. Let x(t) = -9*c(t) - 2*n(t). Let y = 1 + -1. Calculate x(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -206, 106, -5, 5 in ascending order.\nAnswer: -206, -5, 5, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/426 - 95\/142. Which is smaller: n or -0.03?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w - 32. Let x(h) = 7829*h**2. Give o(x(f)).\nAnswer: 54803*f**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 78 = 3*z. Let u = -8 - z. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1194171?\nAnswer: 3, 11, 36187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 1)*(-61 + -6). Let d = -13 + o. Calculate the remainder when d is divided by 35\/(-4)*(-600)\/375.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-6))\/(30\/1116))\/(634\/1585)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in meters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 17*g + 13. Calculate b(-17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 7\/2 of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {o: 7, k: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -69. Suppose -5*p = 6 - v. Factor -37*a - 23*a - 180 - p*a**2 + 4*a**2.\nAnswer: -5*(a + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 0.0489, -3\/4, -3, 17?\nAnswer: 0.0489","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 332 - 245. Let b = 81 - q. What is the second biggest value in b, 0, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516*g + 533*g - 510 = 964*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from kkzkzzzzzz.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 111 + 4)*(-109*h**2 + 12*h**4 + 109*h**2 - 1) - h**4 - h**4 + h**4.\nAnswer: -1297*h**4 + 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**4\/4 - 2*b**3\/3 - b**2 - b + 1. Let z be q(3). Factor -y**3 + z*y**2 - 3*y**3 - 2 + 3*y**3 + y.\nAnswer: -(y - 2)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.32 (b) 5 (c) 0.6 (d) -1\/1723 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3062*y**5 + 29*y**2 - 2*y + 15 wrt y?\nAnswer: -183720*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 154? (a) -1 (b) -1\/3 (c) 2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 + 3)*(-41 + 37 - 112)*(-8*n**5 + 14*n**2 - 14*n**2).\nAnswer: 4640*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 10*r - 1. Let z be c(-3). Solve 4*v = -4*b - 24, -b + z*v = -2*b - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/8 in 2\/9, -0.12, -0.1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1159 + -1158.999119. What is v rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 117*f**2 + 2040*f - 87856.\nAnswer: (f - 19)*(f + 68)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -165*q + 70*q + 28*q + 17*q + 1450 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 60704 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 7:17 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6254462 (base 7) in base 13?\nAnswer: 204a49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 50*t + 3961 - 79961. What is the greatest common factor of 95 and t?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-1*3 - 5*-2*sqrt(152))\/((sqrt(3872)*2)\/sqrt(4)).\nAnswer: 7*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*j + 32*j + 2880. Let n = j + 245. Let q(p) = 8*p**2 + 5*p - 5. Let l(h) = -24*h**2 - 16*h + 16. Calculate n*l(o) + 16*q(o).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42 and 26286848.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*f = -0*c - 17, c = 2*f - 8. Let g be (-2)\/(-1) - (c + -1). Let k = g + -1. Calculate the greatest common divisor of 6 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 7, u: 7, n: 1, c: 2}. Give prob of sequence uv.\nAnswer: 49\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 122\/(-22) + 12\/10*(-370)\/(-814). Let t(y) = 7*y**2 + 7*y - 4. Let x(k) = -10*k**2 - 10*k + 6. What is h*x(l) - 7*t(l)?\nAnswer: l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -382, 0, 9, -2, 2 in ascending order.\nAnswer: -382, -2, 0, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uumfmuuuhafhw. What is prob of picking 4 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from wlwmwik.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**6 + m**3 + 29*m**2?\nAnswer: -240*m**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) -1196 (c) -4\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {a: 5, l: 2, w: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u**5 + 4*u**4 - 2*u**3 - 10*u**2 + 10*u + 10. Let n(q) = q**5 - q**3 - q**2 + q + 1. Let i(o) = -g(o) + 10*n(o). Factor i(d).\nAnswer: 4*d**3*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 15.93139ug?\nAnswer: 0.00000001593139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 1, -111.9.\nAnswer: -111.9, 1, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -52\/965?\nAnswer: -52\/965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 890536.9 minutes in seconds?\nAnswer: 53432214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1850*c + 135028. Give m(-73).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 446 at most as big as 445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160593 and 9699.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8139*q**4 - q**3 - 18854*q**2 + 1.\nAnswer: -195336*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of x**6\/21 + 2*x**5\/35 - 3*x**4\/7 + 4*x**3\/21 + 5*x**2\/7 - 6*x\/7 + 4. Suppose z(l) = 0. What is l?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3118 = 14*y - 3006 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 - d + 19 + 1 - 2*d - 1 + (-5 + 1 + 5)*(0*d - 4*d + 2*d) + 0*d + d - 3*d - 1 + 1 - d + d - 3*d + d.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66*17\/(-136) - (-13 - -3).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*y - 4*s, -11*y + 2*s = -9*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 + 3*u**2 - u - 1. Let x(t) = t**2 - 1. Determine q(c) - 3*x(c).\nAnswer: -c**3 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 637.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1050584?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*a = -0*z + 13, 0 = -z - a + 6. Suppose 125 = 3*f - z*q - 80, -f + 63 = q. Suppose -2*n = 3*n - f. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4213 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -o, -o = -2*o - 5*x - 1. Sort -9, 7, o, 2.\nAnswer: -9, 2, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115*b**3*f*i**3 - 4*b**3*f*i**2 + 2*b**3*i**2 + 11*f*i**2 wrt i.\nAnswer: -690*b**3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -15127777 + 255?\nAnswer: -15127522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -25*r + 37*r + 7*r**3 - 21*r - 4*r**2 + 11. Let b(v) = 3*v**3 - 2*v**2 - 4*v + 5. Calculate -4*a(n) + 9*b(n).\nAnswer: -n**3 - 2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (10205\/785)\/((-1)\/(-3))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-2\/7)*x**0*(x*x*x**(-1))\/x*(x*x**(-6))\/x assuming x is positive.\nAnswer: x**(-37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**4 + 60*d**3 + 204*d**2 - 476*d - 2352 = 0. Calculate d.\nAnswer: -7, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27\/5*(-3 - (-6 - 7)) is divided by 25?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 11*s**2 + 2884*s - 23267. Determine z(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 19*u**2 - 31*u - 11. Let z(t) = 10*t**2 - 16*t - 5. Let l(f) = 6*j(f) - 11*z(f). Let i(g) be the first derivative of l(g). Differentiate i(x) wrt x.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25682, 102371, 230174, 409091?\n\"Answer: 25557*j**2 + 18*j + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 40 + 13702*h - 13740*h - 14 in the form z*h + t and give z.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + -1. Let a = -3 + g. Let b be (a\/(-16))\/(6\/8). Put 3, b, -4 in descending order.\nAnswer: 3, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + c + 14226, -20*y + 317239 = -4*c + 32719. List the prime factors of y.\nAnswer: 2, 3, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107739 is divided by 4584?\nAnswer: 2307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116*181.\nAnswer: -20996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19385\/3 - 6461. What is the closest to 1\/6 in -1, 0.2, 1\/4, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/25? (a) 5 (b) 682 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - q = -31, j = -3*j - 3*q + 29. What is the tens digit of 10 + 2\/j*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54887 or 54879?\nAnswer: 54879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 258*t**3 + 12*t - 12. Let h(y) = 103*y**3 + 5*y - 5. Determine -12*h(z) + 5*p(z).\nAnswer: 54*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -139, -8535.\nAnswer: -8535, -139, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 7:36 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/4, 823\/6, -0.1, -0.4?\nAnswer: 823\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/4 (b) 0.2 (c) 0.4 (d) -1 (e) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -117*y - 1. Let j(i) = 1054*i + 9. Let u(a) = -9*f(a) - j(a). Let z(w) = w + 8*w + 12*w. What is u(z(d))?\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 953108 = 3*i + 2*g, -107*i + 5*g = -110*i + 953120. What is i rounded to the nearest 10000?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**2 - 255*i + 250 = 0.\nAnswer: 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o + 3*o)*(-o + 11*o - 2*o) + 6 + 142*o**2 - 6 - 194*o**2.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 132383505 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/24 - -17\/312. Let y = -0.0657 + -3.8443. Let m = y + -0.09. Which is the third biggest value? (a) 3\/2 (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-9576.715\nAnswer: 47883.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eve when three letters picked without replacement from {v: 2, e: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/2 + -5 - 5. Let h be (-9)\/(1\/(-2)*-2). Let f = h + 6. Sort 1, z, f in increasing order.\nAnswer: f, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -218, -223, -232, -245, -262, -283, -308?\n\"Answer: -2*j**2 + j - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + (sqrt(125) + -4*(sqrt(125) + (sqrt(125) + -1 - sqrt(125))) + sqrt(125) - sqrt(125))*-3*-6) + 0)**2*-3.\nAnswer: -17780592 + 1995840*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18184, -22116, -28670, -37846, -49644?\nAnswer: -64064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**4 + 3669*m**3 + 209257*m**2 - 653469*m + 440542 = 0. Calculate m.\nAnswer: -3611, -61, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -334 - -1668\/5. What is the closest to v in 0.3, -3\/7, -6, 0.03?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -24. Let c(w) = 2*w**2 - 8*w + 6. Does 12 divide c(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/3)\/(-1)*3. Let h = 17 + -7. Let s = h - 5. Put k, 2, s in increasing order.\nAnswer: k, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {q: 3, h: 2, s: 4, t: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 + 45. Suppose 6 = 4*c - 10. Let f(u) = -2*u**2 - 6*u - u**3 - 1 + 0*u**2 - 2 + c*u. Give f(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6 - (-6 + 5)) + (-9)\/(-3). List the prime factors of ((-3276)\/294)\/(t\/14).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/9 (b) -3 (c) 0.5 (d) -2 (e) -35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 5:20 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7630139.52 to the nearest one hundred thousand.\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 22866168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 875 - 2665 + 899 + 17296*c**2 + 891.\nAnswer: 17296*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14316405 (base 9) to base 16\nAnswer: 6c4b38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*(-8)\/12*-117.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.11 + -4.11. Let u = 82933 - 82933. Which is the closest to 0.2? (a) h (b) u (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, k: 10}. Give prob of picking 2 k and 1 t.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**2 + 2*h**2 + 5*h**2 + (1 + 1 - 4)*(2*h**2 + h**2 - 2*h**2) + 4*h**2 - 3*h**2 + 0*h**2 + h - 2*h**2 - h as s + l*h + f*h**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-11)\/((-33)\/9264)*10\/10. What is the greatest common factor of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4304773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 25*i**2 - 16*i - 510. List the prime factors of z(21).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 217.564 - 218. Round x to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a minute in milliseconds?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39.94 - -40.04. What is the closest to 0.1 in 4, -0.1, q, -53?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 254 + -252. Find the second derivative of -85*s + 114*s + 16*s**r + 10*s**2 + 2*s**5 wrt s.\nAnswer: 40*s**3 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 less than 345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-1))\/((-6)\/54*9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + 3 + 0 + sqrt(475) + 6*(sqrt(475) - (-3 + sqrt(475)))).\nAnswer: 15*sqrt(19) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 7:10 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + (-14 - -55) - (7 + -1 - 59)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 8:34 PM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -501.8 + 462. Let k = v + 40. Let m(z) = -z**3 - 8*z**2 - 7*z. Let j be m(-7). What is the nearest to -0.2 in k, -2\/7, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7272 divided by 13\nAnswer: -7272\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*-3*5\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2268399106.\nAnswer: 2, 6073, 186761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 6*t - 1. Let g be y(-5). Is 0 - 3\/g - (-45)\/2 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 7*g - 4*g - 14, -5*g - n + 42 = 0. Let x be (-2 - (1 - 1)) + 1. Let h be 2 + 1\/x + 87. What is the greatest common factor of g and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 10. Let x = -0.1 - i. Which is smaller: 0.5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.62574782 rounded to 3 decimal places?\nAnswer: 38.626","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/1035 and 88\/645?\nAnswer: 44505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*(u**(2\/3)*u)\/u*(u*u**3)\/u*(u\/u**(-2\/7))**(2\/19) assuming u is positive.\nAnswer: u**(1916\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*a + 201 = 0, -5*k - 4*a - 65 = -268. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/4 - 3\/6. Let b(u) = -u - f + 5 + 3 - 4. Calculate b(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5409 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 + 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 16*n + 38. Let z be d(18). Solve -2 + 8 = -z*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 9:35 PM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 70 - -705?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*x - 6392 = -114*x + 421*x + 3226 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 14, 77, 190, 353?\n\"Answer: 25*q**2 - 12*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -0.2, 1\/2, 2\/65, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58363*-317.\nAnswer: 18501071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 672908480?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 976339 divided by -13.\nAnswer: -75103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*x + x - r, 3*x + r = 40. Let h(i) be the second derivative of i**5\/20 - 13*i**4\/12 + i**3\/3 - 11*i**2\/2 - 81*i. Is h(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -90*o + 25. Let p be x(-4). Let g = p + -382. Which is the third biggest value? (a) g (b) 2 (c) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 297513879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-8 - -9) + (-5 - -1). Is 6 + 6226*(-2)\/z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1279 - -1288. Solve q + 7 = -0*q + 5*b, -5*q + 3*b = -z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4)\/(-34 + 105868\/3696 + (-64)\/(-12))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.9 + 2.9. Let g = 1.9 - m. Let y = 7.9 - g. Which is the closest to 0? (a) y (b) 2\/3 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34.31 - -32. What is k rounded to 1 dp?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 18. Let c be l(11). Let b be c\/(-18) + 50988\/189. Suppose -b = -2*s - 3*s. 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: Which is the second smallest value? (a) -12 (b) 0.253 (c) -2\/3 (d) -9.7 (e) 2 (f) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -615*r**2 + 3083*r**2 - 612*r**2 - 632*r**2 - 607*r**2 - 615*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + 4 + (4 - 4). Suppose l = h - 4*o, 2*h + 0*h = 3*o. Let w be 4*4\/32*12. Solve -2*n + h*n = -w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97*o + 309 + 40*o + 88*o + 308 - 617.\nAnswer: 31*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 2*y - 2. Let p be j(2). Suppose -p*a + 2586 = -0*a. Suppose s - 4*n = 65, -106 = 5*s + 4*n - a. What are the prime factors of s?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + 2156. Suppose -3255 = -2*t + 7*t. Let q = t + h. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -3, 2, -0.3, -5 in ascending order.\nAnswer: -5, -3, -0.3, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 4 = 2*x + 2*j, 3*j = -5*x + 17. Are 3\/53 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7707, -8963, -10219, -11475, -12731?\n\"Answer: -1256*w - 6451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4426*(2\/(-5))\/((-24)\/(-30)). Let f = j + -670. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16753 times 3\nAnswer: 50259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/((-80)\/84)*25. Let d(z) = 105 - x - 10*z - 2*z. Let q(a) = -2*a. Calculate q(d(m)).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/26 + 19308\/126009. Let s = d + -91541\/6462. Let i = 77\/2 + s. What is the common denominator of 47 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120101221212012 (base 3) to base 8\nAnswer: -37166640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22882?\nAnswer: 2, 17, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*o + 43 = -65 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 7*s**2 - 1. Suppose 0 = -l - 18 + 15. Let x be 21\/(-28)*(l - 9). Let w(b) = 29*b**2 - 4. Determine x*i(v) - 2*w(v).\nAnswer: 5*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5683007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 2211?\nAnswer: 4\/2211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 6. Let v be l(-5). Let w = v + -12. Let f be 19 - 2 - 4\/w. What is f rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**2 + 2*n**2 - 76*n + 1 + 75*n. Let a(j) = j**2 - j - 1. Let t be a(2). Determine c(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 5:54 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2644*d**4 - 21*d**2 - 53940?\nAnswer: 10576*d**3 - 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3134?\nAnswer: 2, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 7*b**2 + 10*b - 88. What are the prime factors of n(-17)?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21230330222 (base 4) to base 16.\nAnswer: 26cf2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -8. Let m = h + -7. What is the third derivative of -2*o**3 + o**2 - 2*o**m + 8*o**3 wrt o?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3367520 a multiple of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r**2 - 67*r + 9. What is q(-17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -27 + 15 - -3*201\/(-297)?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000215281 rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 3\/2*l**3 + 1\/4*l**4 - 225\/4 - 4*l**2 - 75\/2*l = 0.\nAnswer: -5, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a factor of 575541408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 472404?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34 + 37. Is (2 + -4)\/(b + 25066\/(-8354)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102042201 (base 5) to base 15\nAnswer: 85c6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v**2 - 34*v + 1. Determine f(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.2 - -0.8. Let k = 2910 + -2913. What is the closest to -1 in z, k, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 46122?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -134951 (base 11) to base 13\nAnswer: -7531b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1818215.019 to the nearest 100.\nAnswer: -1818200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-1728)\/(-180))\/12)\/(16\/10))\/((-1)\/130)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 96*p + 5. Let c(a) = 95*a + 6. What is -6*c(h) + 7*r(h)?\nAnswer: 102*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -67 - 34*i - 6 + 197*i + 36 - 76 wrt i?\nAnswer: 163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 - 4*n. Let c(r) = -8*r - r - 4*r - 9*r + 10*r**2. Let w(f) = -33*b(f) + 6*c(f). Let j(g) = g**2. What is j(w(u))?\nAnswer: 36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.7 + 2.69999969. Round m to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19862457 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o + 19*o - 34 - 2*o**2 - 7*o + 9*o**2 - 4*o**2. Let u be x(-8). Solve -9 + 3 = -u*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2299, -4613, -6941, -9289, -11663, -14069, -16513, -19001?\nAnswer: -21539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82*m**5 + 3*m**4 + 494*m wrt m.\nAnswer: -1640*m**3 + 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -761 + 767. Suppose 875 = w*i - 49. What is the greatest common divisor of i and 385?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -56, 26, -1, -74, -14 in ascending order.\nAnswer: -74, -56, -14, -4, -1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2 - 7 + 0 - 3*l + l. Does 8 divide q(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/9)\/(r**(-1\/6)\/r*r))**(1\/17) assuming r is positive.\nAnswer: r**(-1\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -141 - 120*v + 37 + 58 + 45 to the form z*v + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1418 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**2 + 2*d + 22. Let c(n) = -7*n**2 + 8*n + 43. Let x(w) = 5*b(w) - 3*c(w). What is x(15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25356 (base 7) to base 9.\nAnswer: -10170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of l**2\/2 - 68*l - 65. Differentiate f(o) with respect to o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 5*a + 134, 0*f = 2*f - a - 304. What is the highest common divisor of f and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84510 is divided by 9702?\nAnswer: 6894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 12:19 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z - 80*z - 444 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 298927279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*t - 20727 = -97*t + 171*t. What is the greatest common factor of t and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32012, 32428, 32844, 33260, 33676?\nAnswer: 34092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/26536 and -3\/767560.\nAnswer: 82128920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 1:36 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/7358 and -25\/364?\nAnswer: 103012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/(-5) + (-4)\/20. Suppose p*q = -0*q. Solve 20 = -4*n, -5*n = -4*d - q*n + 33 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6 - 13*f**2 + 9*f**2 - 3*f - 7*f**2 - f**3 + 2*f. Let a be v(-11). Suppose -20 = -a*o + 5. Solve -o*g + 12 = -d, d = g + 2*g - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = k, -5*k + 13 = c. What is the first derivative of -c*i + 2*i + 2*i - 2 wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 163*d + 306 - 1610. Let k be (2 - 2)\/(0 - -2). Suppose 0 = -2*r - 2*q + q + 65, -3*r + 2*q + 108 = k. What is the remainder when r is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -4 (c) -0.1 (d) -36410 (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 641*d**2. Let v(l) = -3*l. Determine v(g(x)).\nAnswer: -1923*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55187 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hihmqygiqyyyyqqhhmhi. Give prob of sequence yy.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7*c - 3. Let z(n) = -9*n - 2. Let h(f) = -4*w(f) + 6*z(f). Let b(m) = 3*m. Give b(h(j)).\nAnswer: -78*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -67 + 2*g - 3*g + 57. Determine o(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -197047 and -197048 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4040, 8084, 12130, 16178, 20228, 24280?\nAnswer: 28334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 7821*i + 1368678. Give c(-175).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431074 divided by -2?\nAnswer: -715537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 143 + 23 = 0. Calculate the lowest common multiple of 44 and q.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -1\/52409544?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + 3*sqrt(228))*-1)\/((sqrt(108)*-5 - sqrt(108)) + sqrt(12)).\nAnswer: 4*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -l**2\/2 + 31*l - 1. Does 6 divide f(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 55331225, 55331211, 55331197, 55331183?\n\"Answer: -14*z + 55331239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3327 is divided by 1451.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 3406*y**4 - 3 - 3404*y**4 - 2*y**2 + 0*y + 6*y**3 as m*y**4 + o*y**2 + r*y**3 + k*y + h and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1103 (base 4) to base 7\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4675840 divided by 8992\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47794494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 less than or equal to -554488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234 and 927?\nAnswer: 24102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.65135 + -17.\nAnswer: -22.65135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 3*d**2 + 2*d - 5. Let f be y(5). Let o = f + -1235\/6. Calculate the common denominator of o and 8\/4 - (5\/(-6) + -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 636219, 1272440, 1908661, 2544882?\n\"Answer: 636221*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**5\/2 + 3*i**4\/2 + 9*i**3 - 6*i**2 - 12*i = 0. Calculate i.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 6*z + 28. Let q = -65 + 61. Let n be y(q). Suppose 2*m = -n*m + 24. Solve 3*j + 5 = m*h, 6*h = -j + h + 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 12:58 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 21, -8608 in decreasing order.\nAnswer: 21, -2, -8608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 708 and 104961.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1278 and -61\/10860?\nAnswer: 2313180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283602827120*v**2 + 6*v**3 + 283602827120*v**2.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o + 10. Suppose 1 + 2 = 5*p + i, -5*i = 4*p - 15. Let y = -4 + 7. Suppose p = y*l - 5*x + 1, 3*x + 26 = l - 3*l. Give w(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 6, 0, -234, -3, 1, 2 in ascending order.\nAnswer: -234, -25, -3, 0, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o + 1 - o**2 - 3*o + (2*o**2 - 2*o**2 - 3*o**2)*(-1 + 0 - 2).\nAnswer: 8*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -49688.\nAnswer: 1\/12422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*q + 81*q - 8220. What is the remainder when q is divided by 64?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -745*d**2 + 365*d**2 + 357*d**2.\nAnswer: -23*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/5, 35 in descending order.\nAnswer: 35, 1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14a - -36?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265242 = -m + 5*d, 530439 = -19*m + 21*m - d. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-22)\/24)\/(-11) + (-4056)\/288. Sort -4, y, 3 in decreasing order.\nAnswer: 3, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1155)\/(-28) - 18 - 22.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, c: 5, b: 1, s: 1, x: 3}. What is prob of sequence st?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 34925454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvuuquqwuuqqqlquu. What is prob of picking 1 q and 1 w?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 243040 and 41200.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 152 = -538. Suppose -b*x + 32*x - 500 = 0. Does 10 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 17 = -b, -4*x + 3*b - 21 = -8. Let j(h) = -2*h. Let k be j(x). Let f(n) = 2*n - 12. Let u be f(k). Solve 6 = o + 3*r + u, 0 = -3*r + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 6*i**2 + 4*i + 7. Let x be s(5). Let c(q) = -15*q**3 - 3*q**2 + q + 7. Let j(m) = 11*m**3 + 2*m**2 - 6. Let g(w) = 3*c(w) + 4*j(w). Give g(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 6*s. Suppose s = -5*h + 2 + 23. Let g = 4 + -4. Which is the nearest to g? (a) 2 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -13*a + 27*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and ((-32)\/(-10) + -4)*-25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 4*b = 7965, -45*i + 2*b = -43*i - 3204. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 609, 711, 809, 903, 993, 1079?\nAnswer: 1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 356*v**2 - 91*v - 94*v**2 + 90*v + (1 + 1 - 1)*(-v + v**2 + v) + 3 - 2*v**2 - 3 - 4*v**2 + 0*v**2 + 2*v**2 in the form g*v + i + k*v**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**7\/105 - w**6\/120 - 21*w**5\/10 + 308*w**2. Find the third derivative of g(m) wrt m.\nAnswer: -48*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**4\/12 - t. Suppose 7*m - 6*m = 7. Let q(a) = 4*a + 2*a - m*a + 4*a. Determine q(s(d)).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-20))\/(-57*4*(-4)\/192).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 28. Let h be (4 - 3 - 1)\/2. Let v = t + h. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**3\/6 - k. Suppose -3*a = -r - 67, -2*a + 0*a + 348 = -5*r. Let l = r - -70. Calculate h(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 380?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/8 + 5*w\/4.\nAnswer: -w*(w - 10)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -321, -3149, -8481, -16317, -26657, -39501, -54849?\nAnswer: -72701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9673814 and 74302.\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r - 3. Let a be v(4). Let g be (-31 - a)*(-1)\/(-2). Let s = 28 + g. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4d2c (base 16) to base 3\nAnswer: 1000002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*n + 3*m + 27, 2*n - 17 = -m. Solve 0 = -n*w + 3*w + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b + 5. Suppose -14*z - 898 - 1860 = 0. Let g = z + 190. Give t(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 94, -0.4, 0, -10, -23, -4\/3 in ascending order.\nAnswer: -23, -10, -4\/3, -0.4, 0, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 309, 1214, 2721, 4830, 7541, 10854, 14769?\n\"Answer: 301*p**2 + 2*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 699533917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4020*z + 36180. Let t be u(9). Let a be 0\/(1*(3 - 2)). Factor 1\/5*i**4 + a*i**3 - 1\/5*i**5 + 0*i + t + 0*i**2.\nAnswer: -i**4*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4110 divided by -6\nAnswer: -685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29788948 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w - 1. Let z be x(1). Suppose 0*y + 5*y - z*d = 0, -3*d = -3*y + 6. Let a be 1140\/10*(-11)\/y. Calculate the greatest common divisor of 38 and a.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**4 - i**3 + i**2 - i. Let k(t) = 11*t**4 - 3*t**3 - 134*t**2 - 3*t - 86. Let y(q) = -k(q) + 3*n(q). What is the derivative of y(f) wrt f?\nAnswer: -8*f**3 + 274*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 67052*k**2 + 286010 wrt k?\nAnswer: 134104*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/16)\/((-7)\/14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002183048 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2855 - -4074. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -501, -502, -503, -504, -505, -506?\n\"Answer: -o - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -10\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000813611 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g - 853 = 1435. What is the remainder when g is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1153263215807\/130537925682 + 82\/14790157. Let x be (-2932)\/7355 - 16\/(-40). Let o = f + x. Find the common denominator of -73\/22 and o.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 9*v + t - 14, t + 2 = 3*v. Let m(g) be the first derivative of 0*g + 7 + 0*g**v + 46\/3*g**3. Let w(x) = x**2. Calculate w(m(k)).\nAnswer: 2116*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 - 7*t - 3. Let y(r) = r**2 - 8*r + 4. Let f be y(6). Let k = 14 + f. What is the units digit of h(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2197 equal to -2197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 885 + 1050 = -43*b for b.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 134 + (-48)\/64*4\/(-3). Calculate the greatest common factor of s and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*g**3 + 2*g**2 - 58*g - 4129 wrt g?\nAnswer: -36*g**2 + 4*g - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18\/5)\/3 - 2. Let n = 0.4066 + -0.4366. Put p, -5\/3, n in ascending order.\nAnswer: -5\/3, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 14*w**2 + 13*w + 11. Is y(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 5, 10, -5, 102.\nAnswer: -5, -4, 0, 5, 10, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-5)\/(-3) - -3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 85. Let q be 131\/2 + (-5)\/10. Suppose 15*b + q = 905. What is the greatest common factor of v and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l**2 - l**2 - 4*l**2 + 2*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31683689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 813 + -696. What is the remainder when 1176 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9029987949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 9*x + 42 = 0. Suppose 0 = -2*b - 3*c + 19, -2*b - 4*c = 2*b - 28. Let r be (-4)\/6 + 12\/18. Solve r*a + 3*s - x = 3*a, 0 = 5*a - b*s + 26 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-26) - 667\/14352*6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/286 and 27\/4150.\nAnswer: 593450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.283 rounded to one dp?\nAnswer: 20.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 24 = -9*k. Is (1284\/(-20))\/((12\/15)\/k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 109321*3\nAnswer: 327963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 162985?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d - 5. Let k = 6 - 2. What are the prime factors of g(k)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1756977 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*d + 3. Let b be 4*(0 - d\/6). Let f = 8.2 - 8. Is b > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 10.855. Round a to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - v = v - 70, -3*z - 5*v = -101. Let r be (27\/12)\/(6\/(-16)). Let c = r + z. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 12*r + 23. Let s be o(9). Let q = -20 + s. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/3971 and -0.04 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 + 12. Let v = w - 22. What is the smallest common multiple of v - (-1 - (3 - 6)) and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - h - 3*h)*(1713 + 264*h - 1713).\nAnswer: -1056*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 15 + 1 = -m, 2*m - 3*d = 7. Suppose -m = -4*y + 28. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 996 = -14*o + 5518. Let d = o - 1617\/5. Which is smaller: d or 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eer when three letters picked without replacement from {r: 17, e: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**4 - 4674200*q**3 + 1092337166750*q**2 + 32773270155000*q + 245807414128125.\nAnswer: 5*(q - 467435)**2*(q + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -870250 to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**3 + 11*k**3 + 3 - 2 + 2*k**4 to the form c*k**4 + n + f*k**2 + d*k**3 + u*k and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2. Let u(l) = -l**2 + 30*l. Calculate u(n(k)).\nAnswer: -k**4 - 30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22675 is divided by 398.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**3 - s**2 - s. Let b(u) = -11*u**3 - 13*u**2 - 28*u + 9. Let o(k) = -b(k) + 4*z(k). Determine o(11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12958110 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19603, 78592, 177201, 315664, 494215?\nAnswer: 713088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764*b = -4385 + 3095 - 7878 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4489\/10 - -2269\/5. Let h = 191\/2 - 97. Let u = h - -17. Find the common denominator of u and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137\/161 - -1\/161. Which is the second biggest value? (a) -3 (b) 5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33517 * 0.4.\nAnswer: -13406.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*k**5*u**3 - 6*k**2*u**3 - k*u**3 + 158*k*u**2 wrt k.\nAnswer: 260*k**3*u**3 - 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h - 9. Let j be o(9). Suppose -5*a + 30 = -2*s - 3*s, j = 3*a + 3*s. Factor 3*l**4 - 4*l**2 + 2*l**4 + 2*l - 4*l**a - l**4 + 2*l.\nAnswer: 4*l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 5*j**2 - 5*j + 8. Let p be l(-6). Suppose 0 = -0*g - p*g + 64. Suppose -z = 1 - g. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16642617, -16642576, -16642549, -16642542, -16642561, -16642612?\n\"Answer: -x**3 - x**2 + 51*x - 16642666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 11:36 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -9.68, 1\/6, -0.1, -15220, -1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2870454 to three decimal places.\nAnswer: -0.287","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p + 556*p - 36520 = -324*p for p.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 4*v**2 + 4*v - 41. Let f be a(-13). Let u = -90 + f. List the prime factors of u.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 16 - 4 = 0. Suppose 3*d = -s - 17, -4*s - 50 = d + 2*d. Let u = p - s. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 (base 13) in base 5?\nAnswer: 3243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3))**(-7\/8)*(v**(-11))**(5\/4) assuming v is positive.\nAnswer: v**(-337\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4 = 0, b + 3*s = -0*s + 12. Suppose -g = -b - 23. Find the common denominator of 24\/7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 6, a: 4, j: 3, n: 2, f: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78088 or -78072?\nAnswer: -78088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4042057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3010900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i - 5*z = -37, 0 = 4*i - 2*z - 62. Suppose h + i = 97. Let j = h - -45. Calculate the highest common divisor of 14 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3941*j - 35464. Determine c(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14022 is divided by 68?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/(-6) + (-28)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75656, -75667, -75678, -75689, -75700, -75711?\nAnswer: -75722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -13. Suppose -u*w = -2*r - 13, -19 - 21 = -4*w - 3*r. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 divided by 18\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/14*18\/(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10367*j - 9631*j + 20026*j.\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -307, -350, -497, -808, -1343, -2162?\n\"Answer: -10*h**3 + 8*h**2 + 3*h - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a micrometer in nanometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575 is divided by 284?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12202220 + -11200010?\nAnswer: 1002210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by 2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3563?\nAnswer: 7, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*j + 182. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -34882.\nAnswer: -2\/17441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107*a**2 + 254*a**2 + 86*a**2)*((0*a**2 - a**2 - a**2)*(-3 - 2*a + 3) - 2*a**3 + a**3 - a**3).\nAnswer: 894*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 30*n**2 + 175*n + 2. Let q be p(-35). Suppose 32 = j + 9. Solve -5*r + 4*u - 3 = 38, j = -3*r + q*u for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3362 = -22*l - 1140. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*r + 12214 = 0, -3*r = -4*m - 6806 + 31219. Does 32 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 1:58 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pss when three letters picked without replacement from {s: 7, p: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 - 10. Suppose 5*d = -i - 2, 3*d + 0*d = 5*i - 46. What is the greatest common divisor of n and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + 0 + sqrt(2299))**2*-1 + 4*(2 + sqrt(2299)) + (sqrt(2299)*-4 - sqrt(2299))*-3 + 3.\nAnswer: -9185 + 209*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90771931\/1947700020 - 4\/662483. What is the common denominator of l and 151\/30?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -u**4 + 11*u**2 + 5133*u - 1475410 wrt u?\nAnswer: -4*u**3 + 22*u + 5133","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39\/53 - 4675\/8586. Find the common denominator of z and -19\/25.\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 2:20 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 12:32 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1008))**2 + sqrt(7) - (sqrt(1008) - 2*sqrt(1008))**2) + (-3*1*sqrt(1008) + sqrt(1008))**2 + sqrt(1008).\nAnswer: 13*sqrt(7) + 7056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/2 of a decade?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26*3\/(-66))\/(50\/(-550)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 136.8, -2912, -4, 6\/7?\nAnswer: -2912","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.22 - 0.12. Which is the nearest to n? (a) -3 (b) 3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 437662328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p. Let y = 31 + -28. Suppose 0*t - 2*t - 22 = -4*l, -4*l + 4*t + 28 = 0. Suppose -l*k + k = -y. Determine b(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) + 2 + sqrt(11))**2*2 + sqrt(11) - sqrt(11))*6.\nAnswer: 96*sqrt(11) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + -1383?\nAnswer: -1393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 2*c - 5*c)*(-4*c + 7*c**4 + c + 5*c) + 2*c**5 - 4*c**3 + 4*c**3.\nAnswer: -5*c**5 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38012723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**2 - 17*s + 10. Let r be t(5). Let m be 3\/6*8\/26. Which is greater: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/(-18))\/(((-2322)\/(-81))\/(-43)))\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b + 2*b**3 + 2*b**2 - 94 - 5*b**2 + 2*b + 91. Calculate l(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (82\/(-40) + 2)*((-11165)\/58 + -5) and -59\/636.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56.69 - -53.6. Let m = -2.69 - o. What is the second biggest value in m, 1\/4, -2.7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-8))\/(-1))\/((-2)\/(-24))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (2 + 12 + -13)) + 24 + 0?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from ydmhhhgyghhgghhhgd.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5227163 (base 9) in base 15?\nAnswer: 3a2b46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tnttddttdnttttt. Give prob of picking 2 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 61645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30602)\/253 - (-41 + 4)\/(-851).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 4 = -5*h, 0 = 3*h + d + 4*d - 5. Suppose r - 2*r - 1730000 = h. What is r rounded to the nearest 100000?\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -114324 (base 13) to base 4.\nAnswer: -1203321123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 + -30 - (5 + 9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 482340, 964750, 1447160, 1929570, 2411980, 2894390?\n\"Answer: 482410*n - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -218 - 158. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -24, -3\/5, 3, -1.4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4 + 3.7226.\nAnswer: 2.3226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 7*p - 24. Is p at most as big as 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*s + 13, -4*s + 6 = -16*v + 14*v. Let k be (-1)\/(-3) - 22\/(-6). Solve 2*j + 8 = z + s*j, 4*z + k*j = 16 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, q: 5, f: 2, l: 9, i: 1}. What is prob of sequence qq?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - -6) + 0\/1. Suppose -l = -5*l - x. Let y(o) = -2*o**2 - o. Determine y(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from {l: 1, j: 2, b: 3, i: 4, g: 7}.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19264 and 48316864?\nAnswer: 338218048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v + 6*v + g + 1 = 0, 5*v = 2*g + 2. Sort 10, v, -2 in ascending order.\nAnswer: -2, v, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-34272)\/16065)\/((-112)\/20)?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0*-1*(-2)\/4. Suppose r = -7*l + 2*l. Which is smaller: l or 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 8. Let n be g(4). Let t be n - ((-3)\/6 - 4). Which is the smallest value? (a) 2\/19 (b) -0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12804499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**3\/18 - 2291*p**2\/6 - 5248681*p\/6 + 4596. Factor m(w).\nAnswer: -(w + 2291)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -382*g**2 + 60*g + g**3 - 26*g**4 + 381*g**2 - 57*g to y*g**4 + t*g + x*g**2 + c*g**3 + s and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-5)\/60*-448*(-10)\/(-20).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7 + -5.7. Let y be 6\/4*4\/(-9). Which is the closest to -2\/9? (a) f (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1464 + -733. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 12*h + 10. Give z(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7*q = 6. Let n be 4 + q\/(35\/(-160)). Suppose 0 = -3*h - 19 + 13. Sort h, 4, n in decreasing order.\nAnswer: 4, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 6*d - 19. Let s(u) = -u**3 + 4*u + 13. Let y(b) = -246*b + 991. Let r be y(4). What is r*s(f) + 5*n(f)?\nAnswer: -2*f**3 - 2*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(11\/(-46)) - (-8)\/44?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -315 - -322. Let a = -3 - -9. Find the third derivative of -a*w**4 + c*w - 7*w + 16*w**2 - 3*w**4 wrt w.\nAnswer: -216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7121556 is divided by 425?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b + 2. Let v(y) be the first derivative of y**4\/6 + y**3\/2 - 3*y**2\/2 + 1. Let w(i) be the second derivative of v(i). Calculate -5*a(l) + 4*w(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 102 in 19, -3, 4, 1\/5, -1\/2?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1008) - (sqrt(1008) + sqrt(1008) + 0 + 0) - (-3 + sqrt(1008) + -4))*-5)**2.\nAnswer: -33600*sqrt(7) + 408100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c - 2*m + 16, -4*c + 104 = -2*m. List the prime factors of c.\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 470525 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from vsvssvssvtvvavvvs?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**3 - 29*p**2 - 9*p + 63. Is l(-25) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 9*s + 4. Calculate n(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -14188 + 14192, -5*l = 3*g + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -0.1. Let x = a + 0.2. Let o = -3 + 3. What is the third biggest value in o, x, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2250121 - -230?\nAnswer: 2250351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**5\/5 - 1074*r**4\/5 - 140044*r**3\/5.\nAnswer: -2*r**3*(r + 223)*(r + 314)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18375 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4158962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157684 = -7*h - 158090 for h.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 53382 + -1?\nAnswer: 53381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -170*c + 69 - 69 to the form z*c + t and give z.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -57156 + -2.74\nAnswer: -57158.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -9929360.\nAnswer: -3971744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -3)*(-2 - (4 + 99)). Suppose 2*w = -t + a, -3*t = t + 4*w - 408. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*h + 2*y, 4*h + 1260*y + 4544 = 126*y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q + 21 = 4*o, 5*q + 23 = 6*q + 3*o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + l - 42 = 0, 5*l + 1770 - 1710 = 5*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7*p + 10 = 0, r - 153 = 5*p. Does 28 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -15, 0 = -7*w + 2*w + f - 93. Let p be (w\/12*10)\/((-3)\/2). Solve 0 = h + h + p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140\/448*8\/(-20)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 2*g**2 + g. What is v(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 953 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 471786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1639 + 9857. Suppose 0*s = 2*f + 2*s - 4112, 2*s = -4*f + v. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, w: 9, m: 2, o: 4}. What is prob of picking 1 w and 1 o?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07314 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 462764, 463060, 463356, 463652?\nAnswer: 463948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.1*99926\nAnswer: -209844.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29459 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x. Let p(y) = -2*y - 1. Let w(i) = 3*p(i) - 4*v(i). Suppose -5*n - a = 3*a - 16, 0 = -n - 2*a + 2. Let r(s) = 2*s - 4. What is n*w(g) - 3*r(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 24 = 8*a. Let h = a - -10. Solve 2*o + h*y - 2*y - 16 = 0, -4*y = -5*o + 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*c + 383*c - 421 + 1581 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 2*d + 2*d)*(2*d**2 + d - d) + (0 + 0 - d**2)*(3 + 2*d - 3) - 2*d**3 + d - d + 4*d**3 + d**2 - d**2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 - -79. Let -10*z + 0*z**2 + 82 + m*z**4 + 10*z**3 - 86 + 6*z**4 - 2*z**2 = 0. What is z?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 42*x + 35. Let l(o) = 59*o + 52. Let t(j) = 7*k(j) - 5*l(j). Calculate t(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -24. Suppose -3*m - y + 182 = 0. Calculate the remainder when m is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 at most 167991?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 126*x + 11. Let j(c) = -128*c - 12. Let w(p) = 6*j(p) + 5*n(p). Is w(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**2 + q**2 + 7*q**2 + (-2 + q + 2)*(2*q + 2*q - 2*q) in the form h + t*q**2 + z*q and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1412530251 (base 6) to base 12\nAnswer: -5920987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45447259 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: Let o = -490 - -486.06. Let r = o - -3.94. Which is the second biggest value? (a) r (b) 4 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 10 + 10. Suppose 2*v = 10, i = 4*q + 3*v - 8*v + 1. Calculate the remainder when 2\/(-7) - 121\/(-7) is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205723865.\nAnswer: 5, 41144773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 5, 1, -218 in decreasing order.\nAnswer: 49, 5, 1, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3976)\/40 - 71104\/4040.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p - p + 3*p)*(-9*p**3 + 8*p**3 - 12*p**3) to the form j*p + k*p**3 + t*p**2 + i*p**4 + b and give i.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-10) + (-1806138)\/(-270)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-444)\/(-156) + (-2)\/(-13). Solve 3 = -0*c + m*c, 4*c = 5*k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) -4\/3 (b) -199 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 1012001220?\nAnswer: -1012001222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 175*z**4 - 15*z**2 - 1 wrt z.\nAnswer: 4200*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 509322675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 5388 = -4*d, -6*w + 4036 = -3*w + 2*d. Round w to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 22*b + 63. What are the prime factors of l(-20)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4985 is divided by 78?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32030725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -3*f - 4*a - 7, -4*f = -5*a - 32. Sort -5, -3, 1, f.\nAnswer: -5, -3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2859501, 2859499, 2859497, 2859495, 2859493, 2859491?\nAnswer: 2859489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.7*92.\nAnswer: 524.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 842\/9 + -14039\/144. Let j = -3402 - -27293\/8. Let p = -12 + j. What is the common denominator of u and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**4\/4 - 2*o**3 + 89*o**2. Let m = 10 + 2. Is 5 a factor of v(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129 + -74. What is the highest common divisor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 6 = 4*i. Let a(x) = x + 8. Let m be a(-8). Solve m = -4*w - 1 - i for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v - 2 + 2 + (0*v + 4*v - 6*v)*(3 - 3 - 2) + 5*v + 13*v - 2*v to the form i*v + o and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 2\/167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s + 1. Let n = -9 + 8. Let o = n - -3. Give t(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 899980 to the power of 1\/2, to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 10*v**2 + 11*v - 1. Let r be l(-11). Which is smaller: -0.041 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 1:23 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12821 - 283. Calculate the remainder when r is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + 1*sqrt(170)*-3 + sqrt(170) + sqrt(170))\/((sqrt(100) - sqrt(100)*-2 - sqrt(100))\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 33*g**2 - 5*g + 165. Let m be p(33). Factor -1\/9*s**4 + 0 + 0*s**2 - 2\/9*s**3 + m*s.\nAnswer: -s**3*(s + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35348457?\nAnswer: 3, 17, 40771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 25*u - 51. Give v(-23).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 + 6*o**2 + o - 3. Let s be k(-5). Let v = 129 + s. What is the remainder when 54 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - f + 59 = 102, 0*y + 2 = 3*y + 2*f - 33 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 63*i**2 + 69*i - 4343. Calculate j(63).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + w**2. Let l(q) = 4*q**3 + 6*q**2. Suppose 66 = -o + 12*o. Determine o*f(h) - l(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-516)\/(-24))\/((-4)\/32). Let t = w - -180. Suppose 5*s = 2*z - z - 3, -5*z + 43 = 3*s. Calculate the greatest common factor of z and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*f**3 + 11*f - 11*f + (-2 + 3 + 1)*(-3*f - 7*f + 3*f)*(-1 + 1 + 2*f**2).\nAnswer: -19*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 107963?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -117 + 105, -2*u - 5*r + 22 = -4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*20\/(-6)*6\/15. Suppose -k*y + 18 = -l, 10 = -0*l + 5*l. What is the second smallest value in y, 8, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}